# College of Science, Mathematics and Technology

Dr. Mikhail M. Bouniaev, Dean

Science, Engineering & Technology Building #2.342

882-6701

mikhail.bouniaev@utb.edu

The College of Science, Mathematics, and Technology offers the Master of Science degree with concentrations in Biology, Computer Science, Mathematics and Physics and a Master of Science in Interdisciplinary Studies (M.S.I.S.) degree with concentrations in Biology and Computer Science.

At The University of Texas at Brownsville (UTB), the principal role of the College of Science, Mathematics, and Technology is to provide students with the opportunity to develop scientific knowledge, job skills, and work ethics that will prepare them for entry into the real world. Our academic programs in the sciences, math, and technology provide both theory and practical training. Emphasis is placed on individual initiative, self-discipline, and the pursuit of excellence. Additionally, our academic programs stimulate analytical thinking and establish a foundation for further education and learning. In order to help students grow with a rapidly evolving world, our academic programs are consistently updated to reflect current technology and industry needs. Finally, the College of Science, Mathematics, and Technology prides itself on offering academic programs that accommodate our unique geographical location by meeting the needs and opportunities of both the southern Texas and northern Mexico regions.

**Graduate Programs**

Ph. D in Physics Cooperative Between UTSA and UTB

M.S. in Biology

M.S.I.S. in Biology

M.S. in Computer Science

M.S.I.S. in Computer Science

M.S. in Mathematics

M.S. in Physics

**Biological Sciences**

Dr. David Hicks, Chair

LHSB #2.816

882-5055

david.hicks@utb.edu

**Graduate Faculty**

Alejandro Fierro-Cabo, Assistant Professor

David Hicks, Associate Professor

Richard Kline, Assistant Professor

Kenneth Pruitt, Assistant Professor

Heather Alexander, Assistant Professor

**Master of Science in Biology (M.S.) - Biology**

**36-Hour Thesis/Non Thesis Program**

**Admission Requirements**

Evidence of academic achievement and potential for advanced study and research is required for graduate admission. Specific criteria for Unconditional Admission for Master’s degree seeking students in Biology are:

o Undergraduate GPA of 3.0

o GRE Verbal score of 153 (500 if taken prior to August 2011)

o GRE Quantitative score of 144 (500 if taken prior to August 2011)

o Two letters of reference from faculty members or supervisors attesting to the applicant’s potential to successfully complete graduate work

o A personal statement from the applicant explaining why he/she wishes to pursue graduate study in biology including professional and personal goals, this letter should include the area of interest, and a short list of preferred faculty research supervisors

o Undergraduate studies in biology, including completion of a set of core biology and support courses essentially the same as those required by UTB for the Bachelor Science in Biology.

Applicants with an undergraduate GPA of at least 2.5 and/or GRE scores lower than those specified will be considered for admission on a conditional basis.

Notification of decisions on graduate admission is made by the office of Graduate Studies based on the admission criteria and recommendation of the academic department. Information related to application procedures and deadlines is available through the Office of Graduate Studies.

**Master of Science without Thesis:** The Master’s degree program for non-thesis students requires a total of 36 semester credit hours (SCH). Non-thesis graduate students may be required to take up to 30 SCH of undergraduate coursework in biology or support areas, not applied to the degree program, to make up deficiencies in undergraduate preparation. Courses required of all non-thesis MS students include six credit hours of core courses. The remaining 30 hours will be considered electives and will be chosen by the Graduate Advisory Committee (GAC) with input from the student. A maximum of 8 SCH may include graduate courses offered by other departments within the college. A program of study must be submitted during the first semester of graduate study. Non-thesis students may change to the thesis M.S. program track at any time during the program. The following core courses are required:

**Degree Requirements**

BIOL 6101 Graduate Seminar I. 1 SCH

BIOL 6102 Graduate Seminar II. 1 SCH

BIOL 5455 Biostatistics. 4 SCH

**Comprehensive Exam**

Non-thesis students must pass a comprehensive written or oral examination during their final semester covering general and advanced biological concepts. The comprehensive exam will be administered by a departmental committee and the student shall choose between a written or oral examination. Details of the comprehensive exam can be obtained from the departmental graduate program coordinator.

**Master of Science with Thesis:**

The thesis MS program track requires a total of 36 semester credit hours (SCH). Students may be required to take up to 30 credits of undergraduate coursework in biology or support areas, not applied to the degree program, to make up deficiencies in undergraduate preparation. Twelve credit hours of core courses will be taken by all students in the program. The remaining 24 hours will be considered electives and will be chosen by the GAC with input from the student. A maximum of 8 SCH may include graduate courses offered by other departments within the college. A program of study must be submitted during the first semester of graduate study. Thesis students may not change to the non-thesis M.S. program track after completing the 12 semester credit hours without the consent of the department graduate program committee. The following courses are required by all thesis students:

BIOL 6101 Graduate Seminar I. 1SCH

BIOL 6102 Graduate Seminar II. 1 SCH

BIOL 5455 Biostatistics. 4 SCH

BIOL 7300 Thesis. 3 SCH

BIOL 7301 Thesis. 3 SCH

**Thesis **

A research project as described under BIOL 7300 and 7301. The thesis topic and accompanying thesis research prospective must be approved in writing by the Faculty Advisor and GAC, Department Chair, and the Dean of Graduate Studies prior to the onset of thesis research projects. All research involving vertebrate subjects must also be approved by the Institutional Animal Care and Use Committee prior to commencing experiments. All research using human subjects must be approved by the Human Subjects Research Review Committee prior to collection of any data.

**Master of Science in Interdisciplinary Studies (M.S.I.S.) in Biology**

36-Hour Thesis/Non-Thesis Program

The M.S.I.S. in Biology degree requires a total of 36 semester hours of graduate credit. The Biology concentration must have at least 12 and no more than 18 semester hours in the subject area. In addition, 18-24 hours must be taken in two or more supporting fields outside the area of concentration.

**Admission Requirements**

Evidence of academic achievement and potential for advanced study and research is required for graduate admission. Specific criteria for Unconditional Admission for Master’s degree seeking students in Biology are:

o Undergraduate GPA of 3.0

o GRE Verbal score of 153 (500 if taken prior to August 2011)

o GRE Quantitative score of 144 (500 if taken prior to August 2011)

o Two letters of reference from faculty members or supervisors attesting to the applicant’s potential to successfully complete graduate work

o A personal statement from the applicant explaining why he/she wishes to pursue graduate study in biology including professional and personal goals, this letter should include the area of interest, and a short list of preferred faculty research supervisors

o Undergraduate studies in biology including completion of a set of core biology and support course essentially the same as those required by UTB for the Bachelor Science in Biology.

Applicants with an undergraduate GPA of at least 2.5 and/or GRE scores lower than those specified will be considered for admission on a conditional basis.

Notification of decisions on graduate admission is made by the office of Graduate Studies based on the admission criteria and recommendation of the academic department. Information related to application procedures and deadlines is available through the Office of Graduate Studies.

**M.S.I.S. Without Thesis Degree Requirements**

**Area of Concentration Credit Hours**

Biology 12-18

The Biology Concentration includes the following required core courses: BIOL 6101, 6102, and BIOL 5455.

Two or more supporting fields 18-24

Total graduate hours for degree 36

Each student in the M.S.I.S. degree program will be assigned by the department chairperson, a Faculty Advisor and two additional faculty committee members who teach in Interdisciplinary Studies. The choice of courses in the concentration area and the selection of supporting fields will be determined through consultation between the student, the Faculty Advisor and the committee members. A formal Program of Study as described elsewhere in this catalog will be prepared and submitted for approval during the first semester of graduate study.

**Comprehensive Exam**

Non-thesis students must pass a comprehensive written or oral exam during their final semester covering advanced interdisciplinary concepts as they relate to biology and supporting fields. The comprehensive exam will be administered by a departmental committee and the student shall choose between a written or oral examination. Details of the comprehensive exam can be obtained from the departmental graduate program coordinator.

**M.S.I.S. Thesis Degree Requirements**

**Area of Concentration Credit Hours**

Biology 12-18

The Biology Concentration includes the following required core courses: BIOL 6101, 6102, and BIOL 5455.

Two or more supporting fields which must include ISCI 7300

and ISCI 7301 for thesis students 18-24

Total graduate hours for degree 36

**Thesis**

A research project should be chosen as described under ISCI 7300 and 7301. The thesis topic and accompanying thesis research prospective must be approved in writing by the faculty advisor and GAC, department chair and the Dean of Graduate Studies prior to the onset of thesis research projects. All research involving vertebrate subjects must also be approved by the Institutional Animal Care and Use Committee prior to commencing experiments. All research using human subjects must be approved by the Human Subjects Research Review Committee prior to collection of any data. Thesis students must present a seminar of their thesis research and pass an oral defense of their completed thesis.

**Supporting Fields**

Arts, Business Administration*, Computer Science, Criminal Justice, Education*, Environmental Sciences, Geography, Geology, English, Government, History, Interdisciplinary Science, Interpreting, Mathematics, Physics, Psychology, Sociology, and Spanish

* No more than 12 semester hours total may be taken from the professional schools.

**Graduate Course Descriptions**

**Biology**

BIOL 5127 Coastal Ecology Laboratory

This course is a series of laboratory and field investigations emphasizing identification, biology and ecology of local marine organisms. Lec 3, Cr 3 Prerequisite: Graduate standing or consent of the instructor and concurrent enrollment in BIOL 5327.

BIOL 5136 Current Issues in Biology

Discussion and analysis of active areas of research in biology at an advanced level. Topics will vary by semester offered. A maximum of 3 SCH will count towards degree. Prerequisite: Graduate standing.

BIOL 5170 Topics in Biology

Specialized content and/or field experiences not available in other courses. A maximum of 6 SCH will count towards degree, subsequent enrollment will not count. Lec 0, Lab 3, Cr 1

BIOL 5300 Graduate Biology for Educators

This course covers integrated biological principals from molecules through the biosphere, with a focus on specific contributions that knowledge of those principles has made to the physical, intellectual, and esthetic welfare of humanity. The course will include lectures, readings of scholarly and popular literature, discussion, and a scholarly and popular literature, discussion and a scholarly paper based on individual investigation of literature. Does not count towards a graduate degree in Biology. Prerequisite: Graduate Standing, eight semester credit hours in undergraduate BIOL, enrollment for a graduate degree outside of BIOL. Lec 3, Cr 3

BIOL 5301 Evolution

This course involves the study of organic evolution with an emphasis on mechanics, especially genetics and modern theories. This course will provide a common foundation of understanding of the fundamental principles that underpin and explain all of biology for all students. Prerequisite: Graduate standing. BIOL 3403 or equivalent, BIOL 3409 or equivalent. Lec 3, Cr 3

BIOL 5327 Coastal Ecology

This course examines the major near shore habitats and communities of the western Gulf of Mexico including: beaches, sand dunes, estuaries, salt marshes, mud flats, sea grass meadows, and rocky shores. Emphasis is placed on directed, field-oriented, individual research projects. Lec 3, Cr 3 Prerequisite: Graduate standing and one course in general ecology (BIOL 3309) or zoology (BIOL 3314 or BIOL 4302) or consent of the instructor.

BIOL 5340 Statistical Ecology

The application, interpretation, and critique of statistical methods for analyzing arrays of species-by-samples data as arise in biological monitoring of environmental impacts and fundamental studies of community ecology. Topics include standard diversity indices, hierarchical clustering, multidimensional scaling, principal components analyses, analysis of similarities and selected advanced topics. This course will emphasize the use of statistical software packages and reporting of results. Prerequisite: Graduate standing and one course in general ecology (BIOL 3309 or equivalent) or consent of the instructor.

BIOL 5342 Restoration Ecology

This course explores the relevance of ecological principles applicable to the recovery of degraded ecosystems. With an emphasis on the reestablishment of ecosystem functioning to facilitate recovery, topics discussed relate to the implementation and monitoring of restoration projects across systems and disturbances. Prerequisite: Graduate Standing and an introductory course in ecology, or field experience in ecology and an introductory course in biology, or consent from instructor.

BIOL 5350 Bioenergetics

The use of quantitative analysis of energy resource partitioning to study the evolution of adaptation strategy at the biochemical, cellular, individual, population and ecosystem levels, including quantitative analysis of physiological processes and the life history adaptations in terms of energetic efficiency. Lec.3, Cr. 3 Prerequisite: Graduate standing and one course in general physiology (BIOL 3301 or equivalent) or consent of the instructor.

BIOL 5370 Topics in Biology

Specialized lecture content topics not available in other courses. May be repeated for credit as content changes. Prerequisite: Graduate standing or consent of instructor. Lec 3, Lab 0, Cr 3

BIOL 5402 Marine Zoology

A study of the common marine animals, especially invertebrates in coastal water. Cannot be taken for credit by students with credit for BIOL 4402. Graduate students must complete an independent project. Prerequisite: Graduate standing. Lec 3, Lab 3, Cr 4

BIOL 5404 Ichthyology

Classification, evolution, ecology, and biology of fishes. The lab emphasizes field surveys, taxonomy, and the identification of marine fishes. Graduate students are required to complete an independent project. Credit will not be given for both BIOL 4404 and BIOL 5404. Prerequisite: Graduate standing. Lec 3, Lab 3, Cr 4

BIOL 5422 Conservation Biology

Focus on the controlled use and systematic protection of natural resources such as forests, soils, and water systems. Conservation integrates concepts of geography, climatology, geology, geomorphology, chemistry, and biology into one applied science. Prerequisite: Graduate standing. Lec 3, Lab 3, Cr 4

BIOL 5430 Animal Behavior

This course examines the biological basis of animal behavior from an evolutionary perspective. Topics include instincts and learning, behavioral genetics, development of behavior, neural and endocrine mechanisms, adaptive significance of behavior, and social behavior. Prerequisite: Graduate standing, four semester hours of upper-division biology. Lec 3, Lab 3, Cr 4

BIOL 5455 Biostatistics

This course introduces methods for the collection and statistical analysis of biological data. Topics include descriptive statistics, probability, sampling, confidence intervals, hypothesis testing, analysis of variance, correlation, regression and non-parametric methods. Students will practice data analysis using statistical software and sample data from various fields such as ecology, systematics, and biomedical sciences. Prerequisite: Graduate standing, completion of four upper-level semester hours in biology and completion of college algebra (MATH 1314) or any mathematics course for which college algebra is a prerequisite. Lec 3, Lab 3, Cr 4

BIOL 6101 Graduate Seminar I

In this course students will review the literature for current research topics, reporting and discussion with faculty and other students. Students will refine a topic for scientific investigation, formulate testable hypotheses, design controlled experiments, conduct scientific literature searches, and interpret the methods and results of primary literature articles, as well as, refine their oral presentation skills. Prerequisites: Graduate Standing.

BIOL 6102 Graduate Seminar II

In this course, students will learn professional skills for a career in the Biological Sciences such as grant agency selection, grant writing, preparation of a curriculum vitae, the peer review process, development and formatting of manuscripts, scientific proposals, review papers, cover letters and preparation of. Students will learn to make proper use of bibliographic citations, write technical papers and prepare documents. Prerequisites: Graduate Standing. Lec 1, Cr 1.

BIOL 6185-6685 Graduate Research

Faculty supervised research designed for students who are working on a research or thesis project. A maximum of 6 SCH of Graduate Research will count toward the degree; subsequent enrollments will not count. Prerequisite: Graduate standing or consent of instructor.

BIOL 6301 Molecular Techniques and Laboratory Instrumentation

This course studies the theory and application of laboratory techniques, with an emphasis on molecular techniques. The course may be team taught by various members of the Graduate Faculty as expertise dictates. Prerequisite: Graduate Standing. Lec 2, Lab 3, Cr 3

BIOL 6303 Evolutionary Ecology

The role of genetics and evolution at the individual, population, and community levels. Prerequisite: Graduate standing, Lec 3, Lab 3, Cr 3

BIOL 6312 Advanced Cellular and Molecular Biology

An in-depth study of the physical and molecular activity at the cellular level. Topics to be emphasized include: nucleic acid structure and organization, gene expression and its regulation, protein structure and recombinant DNA techniques. Prerequisite: Graduate standing, BIOL 3412 or equivalent, CHEM 3303 or equivalent. Lec 3, Cr 3

BIOL 6330 Molecular and Cellular Evolution

This course involves the study of the appearance of life on earth and its subsequent evolution at the molecular and cellular levels. Prerequisite: Graduate standing. Lec 3, Cr 3

BIOL 6365 Graduate Biological Research Problems

Supervised research involving identification and definition of a problem, preparation of a proposal, collection and analysis of data, writing and submission of a report in standard scientific form for faculty approval.

Prerequisite: Consent of instructor and advisor. Lec 0, Lab 8, Cr 3.

BIOL 6390 Biology Internship

Paid or volunteer work in an industrial, educational, private agency, or government facility, under the general supervision of collaborating personnel. The student must secure the appointment for such work, but faculty will assist in finding opportunities. The collaborating personnel and the student must agree to written terms required by the Biological Sciences Department. Successful completion requires a letter from the collaborating personnel detailing the student’s qualifying experience, an acceptable scholarly report, and a seminar presentation. The instructor must be a full-time member of the Graduate Faculty.

BIOL 6400 Neuroscience

This course studies the integrative functions of the animal nervous system from molecules to behavior. Prerequisite: Graduate standing. Lec 3, Lab 3, Cr 4

BIOL 6404 Fish Ecology

Interactions of fishes especially teleosts, with their physical and biotic environment. The lab emphasizes fieldwork and includes an individual student project. Prerequisite: Graduate standing. Lec 3, Lab 3, Cr 4

BIOL 7300 Thesis

Supervised research will include design of an original research problem with a written proposal, collection and analysis of original data, and writing of a scientific report in acceptable publication format. Prerequisite: Instructor’s permission. Cr 3

BIOL 7301 Thesis

Continuation of BIOL 7300 Prerequisite: Instructor’s permission, Cr 3

**School of Engineering and Computational Science**

Dr. Juan Raymundo Iglesias

SETB 1.550A

882-6616

juan.iglesias@utb.edu

**Graduate Faculty**

Juan R. Iglesias, Associate Professor

Fitratullah Khan, Professor

Hansheng Lei, Associate Professor

Mahmoud K. Quweider, Professor

Liyu Zhang, Assistant Professor

**Master of Science in Computer Science**

**36-Hour Program**

The Master of Science in Computer Science requires a total of 36 semester credit hours (SCH) in graduate coursework. MSCS has two tracks: 1) MSCS – Computer Science, and 2) MSCS – Computational Science. The admission requirements are the same for both. There are some differences in course requirements, which are listed below.

**Admission Requirements**

Evidence of academic achievement and potential for advanced study and research is required for graduate admission. Specific criteria for Unconditional Admission for master’s degree seeking students in Computer Science are:

o Undergraduate GPA of at least 3.0

o GRE Verbal score of 140 (400 if taken prior to August 2011)

o GRE Quantitative score of 153 (500 if taken prior to August 2011)

o GRE Analytical Writing score of 3.5

o A personal statement from the applicant explaining why he/she wishes to pursue graduate study in computer science or computational science

Students are required to have a basic background in computer science. If applicant’s undergraduate major is not Computer Science, a diagnostic test will be given, and a student will be required to take the corresponding undergraduate courses on subject areas where he/she failed.

Applicants with an undergraduate GPA of at least 2.5 and/or GRE scores lower than those specified will be considered for admission on a conditional basis. Students may be required to complete additional leveling courses to settle academic deficiencies.

Notification of decisions on graduate admission is made by the Office of Graduate Studies based on the admission criteria and recommendation of the academic department. Information related to application procedures and deadlines is available through the Office of Graduate Studies. Visit our website at www.utb.edu/graduatestudies.

**International Students**

International students wishing to pursue online degrees are not eligible for an F1 or F3 student visa.

**Required Courses: MSCS – Computer Science**

The track for Computer Science is for students who have a bachelor degree in computer science or closely related field and are willing to advance their knowledge to an advanced level.

**Core Courses 9**

Complete all the three courses in one of the following categories:

Theory of computation

COSC 5361 Computability Theory 3

COSC 5362 Complexity Theory 3

COSC 5345 Advanced Algorithm Analysis 3

OR

Systems Development

COSC 5315 Advanced Computer Networks 3

COSC 5346 Advanced Software Engineering 3

COSC 5349 Computer Architecture 3

OR

Scientific Computing

COSC 5360 Numerical Methods 3

COSC 5343 Data Mining 3

COSC 5381 Bioinformatics 3

**Computer Science Elective Courses*** 21

**Graduation Options**

(Students must choose one of the following graduation options)

Thesis

COSC 6300 Thesis I 3

COSC 6301 Thesis II 3

OR

Project

COSC 6303 Graduate Project 3

Computer Science Elective Course* 3

OR

Comprehensive Examination

Computer Science Elective Courses* 6

Total Graduate Hours for degree 36

*Any COSC graduate level courses may be used as Computer Science Elective Courses with previous written consent of the CIS Graduate Advisor

**Required Courses: MSCS – Computational Science**

The track of Computational Science is for students who are interested in constructing computational models and quantitative analysis techniques and using computers to analyze and solve scientific problems.

**Computer Science Advanced Courses 9**

Take three courses out of the following:

COSC 5335 Computer Vision

COSC 5343 Data Mining

COSC 5345 Advanced Algorithm Analysis

COSC 5350 Artificial Intelligence

COSC 5360 Numerical Methods

COSC 5381 Bioinformatics

**Computer Science Elective Courses* 12**

**Supporting Discipline Elective Courses** 9**

**Graduation Options**

(Students must choose one of the following graduation options)

Thesis

COSC 6300 Thesis I 3

COSC 6301 Thesis II 3

OR

Project

COSC 6303 Graduate Project 3

Computer Science Elective Courses* or Supporting Discipline Elective

Courses** 3

OR

Comprehensive Examination

Computer Science Elective Courses* or Supporting Discipline Elective

Courses** 6

*Any COSC graduate level courses may be used as Computer Science Elective Courses with previous written consent of the CIS Graduate Advisor.

**Any graduate level courses in a given discipline with previous written consent of the CIS Graduate Advisor. Disciplines include Mathematics, Engineering, Chemistry, Physics, Biology, and any other graduate level discipline with previous written consent of the CIS Graduate Advisor.

Curriculum

**Computer Science Advanced Courses:**

COSC 5315 Advanced Computer Networks

COSC 5319 Computer and Cyber Security

COSC 5335 Computer Vision

COSC 5343 Data Mining

COSC 5345 Advanced Algorithm Analysis

COSC 5347 Advanced Software Engineering

COSC 5350 Artificial Intelligence

COSC 5361 Computability Theory

COSC 5362 Complexity Theory

**Computer Science Electives:**

COSC 5300 Compiler Construction

COSC 5317 Signals and Systems

COSC 5318 Digital Forensics

COSC 5321 E-Commerce

COSC 5330 Computer Graphics

COSC 5332 Human Computer Interaction

COSC 5333 Digital Image Processing

COSC 5349 Computer Architecture

COSC 5355 Expert Systems

COSC 5360 Numerical Methods

COSC 5381 Bioinformatics

**Capstone**

Computer Science offers three different graduation options: thesis, project, and comprehensive examination. In order to complete a thesis, a student selecting the thesis graduation option will enroll in COSC 6300 Thesis I and COSC 6301 Thesis II. The student will select a thesis committee consisting of at least three graduate faculty members, one of them will be appointed as the chairperson. Enrollment to COSC 6301 Thesis II requires the student to pass an oral defense of the thesis proposal which will be examined by the thesis committee. The student must pass an oral defense of the completed thesis which will be examined by the thesis committee.

In order to complete a project, a student selecting the project graduation option will enroll in COSC 6303 Graduate Project. It is expected that the student will write a project paper to report the project outcomes. The student will select a project committee consisting of at least three graduate faculty members, one of them will be appointed as the chairperson. The student must pass an oral defense of the completed project which will be examined by the project committee.

Students may graduate by approving a comprehensive examination. The exam will not be scheduled prior to the student’s last semester of coursework. Contents of the exam will be contingent on the student’s prescribed graduate coursework and it will be administered by the department’s Graduate Committee.

**Master of Science in Interdisciplinary Studies (M.S.I.S.) in Computer Sciences**

**36-Hour Thesis/Non-thesis**

The Master of Science in Interdisciplinary Studies (MSIS) with concentration in Computer Science (CS) requires a total of 36 semester hours of graduate credit. A total of 18 graduate semester credit hours must be taken in CS. Additional 18 hours, including ISCI 7300 and ISCI 7301, must be taken in two or more supporting fields outside CS.

**Admission Requirements**

Evidence of academic achievement and potential for advanced study and research is required for graduate admission. Specific criteria for Unconditional Admission for Master’s degree seeking students in Computer Science are:

o Undergraduate GPA of 3.0

o GRE Verbal Score of 146 (400 if taken prior to August 2011)

o Quantitative Score of 144 (500 if taken prior to August 2011)

o Personal statement from the applicant explaining why he/she wishes to pursue graduate study in CS including professional and personal goals. This letter should include the area of interest, and a short list of preferred faculty research supervisors.

o Each entering graduate student will take a diagnostic evaluation conducted by the Computer Science Graduate Coordinator. The evaluation will serve to identify areas that must be strengthened by the student with remedial courses and to identify the possible tracks of specialization that may be of interest to the student.

Applicants with an undergraduate GPA of at least 2.5 and/or GRE scores lower than those specified will be considered for admission on a conditional basis.

Notification of decisions on graduate admission is made by the Office of Graduate Studies based on the admission criteria and recommendation of the academic department. Information related to application procedures and deadlines is available through the Office of Graduate Studies. Visit __utb.edu/graduatestudies__.

**International Students**
International students wishing to pursue online degrees are not eligible for an F1 or F3 student visa.

**Degree Requirements: 36 hours**

Area of Concentration................................... Credit Hours

Computer Science .......................................................18

Two or more supporting fields.......................... ............18

(must include ISCI 7300 and ISCI 7301)

Total Graduate Hours for degree... ...............................36

**Thesis**

As part of their graduate curriculum, students must take ISCI 7300 and ISCI 7301 leading to the completion of their thesis. At the appropriate time in their graduate study, students will select a thesis committee in order to approve a topic and to assist in the preparation of the thesis. The thesis committee will be composed of at least three graduate faculty, one of them will be appointed as the chairperson. Co-chairs are possible in case of co-supervision of an interdisciplinary project. Students must pass an oral defense of the completed thesis. The thesis needs not consist solely of a written research paper; software, analytical, practical performance, or other appropriate projects may also be considered. It is expected that the student will choose a topic that appropriately integrates aspects of the discipline of Computer Science and the supporting fields.

**Supporting Fields**

Arts, Business Administration*, Biology, Criminal Justice, Education*, Environmental Sciences, Geography, Geology, English, Government, History, Interdisciplinary Science, Interpreting, Mathematics, Physics, Psychology, Sociology, and Spanish. A total of 18 graduate semester credit hours including ISCI 7300 and ISCI 7301 must be taken from two or more supporting fields outside Computer Science. Selection of supporting fields must be determined through consultation with the Faculty Advisor. The use of mathematics as supporting area is strongly encouraged but not required; however, because of the broad application nature of Computer Science, any approved M.S.I.S. field can be a supporting field for the M.S.I.S. with concentration in Computer Science.

*No more than 12 semester hours total may be taken from the professional schools.

**Curriculum of Study**

**Graduate Computer Science Courses**

Students are required to take 18 hours of graduate course in COSC (above 5000) that may be chosen from the following:

COSC 5300 Compiler Construction

COSC 5310 Operating Systems

COSC 5313 Computer Networks

COSC 5315 Advanced Computer Networks

COSC 5317 Signals and Systems

COSC 5318 Digital Forensics

COSC 5319 Computer and Cyber Security

COSC 5321 E-Commerce

COSC 5330 Computer Graphics

COSC 5332 Human Computer Interfaces

COSC 5333 Digital Image Processing

COSC 5335 Computer Vision

COSC 5342 Database Management Systems

COSC 5343 Data Mining

COSC 5345 Advanced Algorithm Analysis

COSC 5346 Software Engineering

COSC 5347 Advanced Software Engineering

COSC 5349 Computer Architecture

COSC 5350 Artificial Intelligence

COSC 5355 Expert Systems

COSC 5360 Numerical Methods

COSC 5361 Computability Theory

COSC 5362 Complexity Theory

COSC 5381 Bioinformatics

**Graduate Course Descriptions**

**Computer Science**

COSC 5300 Compiler Construction

Different phases of compiler construction are studied: lexical, syntax, semantics and code generation. Projects leading to the complete construction of a compiler for a mini-set of a language are carried out. Prerequisite: COSC 3355, COSC 3345 and COSC 2325 or consent of instructor. Lec 3, Cr 3

COSC 5301 Foundations of Programming

This is an introductory course in computer programming. Topics include basic concepts in object oriented and structured programming, testing and debugging, abstract data types, basic searching and sorting techniques, and recursion. This course cannot be applied toward any graduate degree in Computer Science. Lec 3, Cr 3

COSC 5302 Foundations of Algorithm Analysis and Design

This course introduces advanced concepts in Computer Science. Topics include fundamental algorithms such as quick sort, hash tables, binary search trees, graph algorithms and complexity analysis. This course cannot be applied toward any graduate degree in Computer Science. Prerequisite: COSC 5301 Lec 3, Cr 3

COSC 5310 Operating Systems

The student is familiarized with the services common to most operating systems. Issues in CPU scheduling, concurrent processes, deadlocks, memory management, file management, and distributed systems are dealt with. Students are given relevant projects to support the theoretical aspects learned in class. Prerequisites: Admission to MSIS or MS Program. Lec 3, Cr 3

COSC 5313 Computer Networks

Computer networks are presented via seven distinct layers: physical, data link, network, transport, session, presentation, and application layer. Hardware and protocols used at different layers and in different networks are studied in detail. Different existing networks are studied as examples in every layer. Prerequisite: COSC 3330 or departmental consent. Lec 3 Cr 3

COSC 5315 Advanced Computer Networks

The design of networks and their performance will be covered in this course. Modern Networks such as ATM and Gigabit Ethernet network will also be studied. Other topics that will be studied are cryptology, network programming, and secure channels. Prerequisite: COSC 3330, COSCU 2317. Lec 3, Cr 3

COSC 5317 Signals and Systems

This course covers the representation and analysis techniques for discrete and continuous signals in one or more dimensions. Topics include random variables, information theory, sampling and quantization, and signal representation in the time and frequency domains with applications to multimedia and telecommunications. Prerequisite: MATH 2414, MATH 3381, and COSC 2336. Lec 3, Cr 3

COSC 5318 Digital Forensics

An introduction to the science, technology, procedures, and laws of acquiring and analyzing evidence from digital media and computing devices. Current forensics tools will be surveyed, and case studies will be assigned and presented in class. Prerequisite: COSC 4313 or COSC 5313. Lec 3, Cr 3

COSC 5319 Computer and Cyber Security

This course is an in-depth study of computer systems and network security principles. Key areas include network attacks and defenses, operating system flaws, malware, social networks attacks, and digital rights management. Prerequisite: COSC 4313 or COSC 5313. Lec 3, Cr 3

COSC 5321 E-Commerce

This course introduces the technologies used in building e-commerce applications including e-commerce scalable architecture design, Internet infrastructure, administration, electronic payment systems, e-business relationships, mobile commerce (mCommerce), and business-to-business (B2B) marketplace design, strategies and models. Lec 3, Cr 3

COSC 5330 Computer Graphics

The student is familiarized with structured graphical objects. The algorithms for transforming, clipping, and projecting objects are put into practice through several projects. Hidden line/surface removal, shading/lighting models, and the problem of aliasing are studied. Prerequisite: COSC 3345 or consent of instructor. Lec 3, Cr 3

COSC 5332 Human Computer Interfaces

Simple and compound classes, page and page selector classes, animation and pop up classes, configuration and deriving of new objects, application interface, overall design, and machine dependencies are studied. Application-oriented graphical user interfaces are built. Prerequisite: COSC 2336 or consent of the instructor. Lec 3, Cr 3

COSC 5333 Digital Imaging Processing

This course covers the basic techniques used in acquiring, processing, and displaying of digital images and video. Topics include image acquisition, spatial and frequency domain representation, image filtering, image compression, image analysis, morphological image processing and image understanding. Efficient implementation of image processing algorithms in a structured computer language is emphasized. Prerequisite: MATH 2314 and COSC 2336 or departmental consent. Lec 3, Cr 3

COSC 5335 Computer Vision

This course covers the fundamental and advanced ideas of developing computerized procedures to extract numeric and symbolic information from images. Key ideas include image formation, acquisition, calibration, object recognition, video understanding, stereo imaging, optical flow and classification methods. System implementation and applications in communications, medicine, robotics and manufacturing are introduced. Prerequisite: COSC 4333; MATH 2313. Lec 3, Cr 3

COSC 5342 Database Management Systems

Data abstraction and models, entity-relationship model, relational model, formal and commercial query languages, network and hierarchical data models, relational database design, file and system structure; indexing and hashing, query processing, and concurrency control are studied. Prerequisite: At least a C in both COSC 3345 and COSC 3330. Lec. 3 Cr. 3

COSC 5343 Data mining

This course gives the fundamentals of applying artificial intelligence techniques for analysis, learning and prediction of information using data extracted form databases. Topics include data mining system architecture, data preprocessing, pattern recognition, attribute relevance analysis, class discrimination, rule association, correlation analysis, classification, prediction, cluster analysis and query languages. Prerequisite: At least a C in the following courses COSC 3330, MATH 2342 and MATH 3373. Lec 3, Cr 3

COSC 5345 Advanced Algorithm Analysis

Both basic and advanced techniques of algorithm design and analysis are introduced. Algorithms with real applications are thoroughly studied. The notion if NP-complete problems and design and analysis techniques for approximation and randomized algorithms are also introduced. Prerequisite: at least a C in COSC 3345, or consent of instructor.

COSC 5346 Software Engineering

The scope of systems analysis, systems investigation and analysis, input and output design, storage devices, file organization, sorting and merging, factors affecting file design, system design, the program specifications, design strategy, and financial applications are studied. Prerequisites: Admission to MSIS or MS Program. Lec 3, Cr 3

COSC 5347 Advanced Software Engineering

This course is an in-depth study of advance software engineering principles. Key areas include project management, team building, team organization , cost estimation, scheduling, description and evaluation of software architecture design, object-oriented design methodologies, and refactoring. Practical aspects of software are also discussed including testing, maintenance, safety, security, quality assurance, and reliability. Prerequisites: COSC 4346, or consent of instructor. Lec 3, Cr 3

COSC 5349 Computer Architecture

Classical and modern computer architectures will be studied in this course. Techniques such as microprogramming and counter-decoder methods will be included. Other topics that will be studied include parallel computing architectures, their performance and programming. Prerequisite: COSC 3325. Lec 3, Cr 3

COSC 5350 Artificial Intelligence

This course discusses the theoretical and practical foundations of artificial intelligence. Principles in reasoning, perception, deduction, planning, learning, knowledge representation and problem resolution are some of the areas covered. Prerequisite: At least a C in COSC 3345. Lec 3, Cr 3

COSC 5355 Expert Systems

This course covers the theoretical and practical principles of modern expert systems construction. Topics include logic and reasoning, knowledge representation, rule-based reasoning, inexact reasoning, ontologies, and knowledge acquisition. Prerequisite: At least a C in COSC 5350 Lec 3, Cr 3

COSC 5360 Numerical Methods

The topics include root finding, interpolation and numerical differentiation, polynomial interpolation, estimating derivate, numerical integration, systems of linear equations, approximation by spline functions, and smoothing of data. Prerequisite: COSC 2336 and MATH 2414 or consent of the instructor.

COSC 5361 Computability Theory

This course introduces elements in mathematical foundations of computer science, formal language theory and computability theory. Mathematical foundations of computer science include topics such as set theory, relations and functions, and proof methods. Prerequisites: at least a C in COSC 5345, or consent of instructor. Lec 3, Cr 3

COSC 5362 Complexity Theory

This course introduces basic concepts, results and techniques in computational complexity theory, and provides a deeper insight of the power of computing using the Turing-machine model. Prerequisites: at least a C in COSC 5361. Lec 3, Cr 3

COSC 5381 Bioinformatics

This course provides an introduction to the rapidly evolving field of bioinformatics with the overarching goal of understanding how computer science plays an integral part both in the application and algorithmic aspects of the field. Topics include molecular biology databases, sequence alignment, genomics, proteomics, phylogenetic analysis, clustering, and gene expression analysis. Prerequisite: COSC 2336. Lec 3, Cr 3

COSC 6300 Thesis I

This course constitutes the first part of a student’s course work requirement in completing his master thesis; students must take COSC 6300 and COSC 6301 leading to the completion of their thesis. Students must successfully pass an oral defense of the thesis proposal or the software project plan. Prerequisite: Approval of graduate advisor. Lec 3, Cr 3

COSC 6301 Thesis II

This course constitutes the second part of a student’s course work requirement in completing his master thesis; students must take COSC 6300 and COSC 6301 leading to the completion of their thesis. Students must successfully pass an oral defense of the thesis proposal or the software project plan. Prerequisite: Approval of graduate advisor. Lec 3, Cr 3

COSC 6303 Graudate Project

Students will complete a graduate project, write a paper reporting the project outcomes, and orally defend the project examined by a committee. The committee will consist of three faculty members selected by the student, one of them appointed as the committee schair. Students cannot take this course before their last semester of coursework.

**Mathematics**

Dr. Jerzy Mogilski, Chair

SETB #2.454

882-6628

jerzy.mogilski@utb.edu

**Graduate faculty**

Mikhail Bouniaev, Professor

Roger Contreras, Associate Professor

Alexey Glazyrin, Assistant Professor

Ranis Ibragimov, Associate Professor

Jerzy K. Mogilski, Associate Professor

Oleg Musin, Professor

Vesselin Vatchev, Associate Professor

Taeil Yi, Associate Professor

Paul-Hermann Zieschang, Professor

**Master of Science in Mathematics (M.S.)**

The Master of Science in Mathematics has three tracks, Pure Mathematics, Industrial Mathematics and Teaching Mathematics. In each case, the student has thesis (except Teaching Mathematics track), non-thesis and project option.

Mathematicians with a strong background in pure mathematics are surprisingly attractive to many professional branches in our society, particularly intelligence technology, finance, security, engineering and physics. Industrial mathematics is a growing branch in mathematics which provides trained personnel for key positions in modern industries. Teaching Mathematics track offers an opportunity to become an effective mathematics instructor with educational technology skills especially for on-line/distance education.

**Admission Requirements**

Evidence of academic achievement and potential for advanced study and research is required for graduate admission. Specific criteria for Unconditional Admission for Master’s degree seeking students in Mathematics are:

o Undergraduate GPA of 3.0

o GRE Verbal score of 146 (400 if taken prior to August 2011)

o GRE Quantitative score of 148 (600 if taken prior to August 2011)

o Two letters of recommendation from college or university professors indicating the applicant’s potential in Mathematics

o A letter from the applicant indicating reasons for wanting to pursue graduate studies in Mathematics including professional and personal goals; in this letter, the applicant should indicate his/her field of interest in Mathematics as well as his/her preference for an advisor

o Undergraduate transcript including completion of a set of Mathematics courses determined by the departmental graduate committee. (An applicant lacking some of these courses may be accepted to the program but will be required to complete them during the first academic year in order to continue in the program. An undergraduate course may be taken concurrently with graduate course work.)

Applicants with an undergraduate GPA of at least 2.5 and/or GRE scores lower than those specified will be considered for admission on a conditional basis.

Notification of decisions on graduate admission is made by the office of Graduate Studies based on the admission criteria and recommendation of the academic department. Information related to application procedures and deadlines is available through the Office of Graduate Studies. Visit our website at www.utb.edu/graduatestudies.

**Admissions for Five Year M.S. in Mathematics Track**

The Department of Mathematics enables highly motivated students with strong intellectual capacities to earn a Bachelor of Science in Mathematics and a Master of Science in Mathematics within a five-year period. The integrated program is designed to prepare students for competitive doctoral programs and provide strong leadership skills and professional depth to students entering teaching positions.

o Minimum semester credit hours (SCH) required for graduation: 156 (SCH) (120+36) - 12 common SCH = 144 SCH

o Students are eligible to apply for admission to the 5 year program during the semester they complete 63 SCH (including 15 math) of undergraduate coursework with at least 3.2 GPA and minimum 3.5 GPA from at least 15 SCH in mathematics courses.

o By the end of their third year, students in the program must complete minimum 93 SCH maintaining at least 3.2 GPA and 3.5 GPA in mathematics courses.

o To be considered for admission to the 5 year program, students must submit a 5 year application during the semester they complete 93 SCH. Only 5 year program candidates demonstrating superior undergraduate academic performance in mathematics and strong recommendation will be considered for admission.

o If admitted to the program, the student must complete at least 9 SCH of MS courses during the fourth year of undergraduate study. Candidates should work with their undergraduate advisor to determine how the courses will apply to the undergraduate degree. Before the start of the second semester of the fourth year, they should submit the GRE with a minimum score of 1000.

o At the end of the fourth year, assuming that all other graduation requirements are met, the student earns his or her baccalaureate degree.

o During their fifth year, the student completes the remaining semester hours toward the MS in Mathematics degree.

**Degree Requirements **

The M.S. program requires 36 semester credit hours. Graduate students may be required to take undergraduate courses in Mathematics to make up for deficiencies in preparation as determined by their temporary Admission and/or Advising Committee. These courses will not be applied to the degree program.

**M.S. in Pure Mathematics**

**Courses required: 36 SCH**

**Required Mathematics Core Courses: 9 SCH**

MATH 5321 Abstract Algebra 3 SCH

MATH 5331 Contemporary Geometry 3 SCH

MATH 5341 Measure and Integration 3 SCH

**Restricted Electives 9 SCH Total**

Take one course from each of the following three groups:

MATH 5323 Group Theory 3 SCH

or

MATH 5329 Number Theory 3 SCH

MATH 5339 Topology 3 SCH

or

MATH 5362 Graph Theory 3 SCH

MATH 5342 Functions of one Complex Variable 3 SCH

or

MATH 5346 Functional Analysis 3 SCH

**Elective Courses (12 SCH Total)**

Take any three courses listed in the Graduate Mathematics Courses Inventory with the exception of MATH 5395 Research Seminar* and MATH 5397 Thesis.

**Special Requirements (6 SCH Total)**

**One of the following three options:**

With Comprehensive Examination

MATH 5395 Research Seminar (twice)

(The two seminars must be in two different areas in Mathematics)

With Project

MATH 5395 Research Seminar (twice)

(The two seminars must be in two different areas in Mathematics)

Project (The student must give a presentation at a conference/seminar and/or symposium or publish an article).

With Thesis

MATH 5397 Thesis (twice)

(The two thesis courses may not be taken during the same semester).

Qualification for thesis option depends on the student performance on courses in the Required Mathematics Core Courses and Restricted Elective groups.

*Note: MATH 5395 Research Seminar is allowed once as an elective course if Thesis Option is chosen.

**M.S. in Industrial Mathematics**

**Courses required: 36 SCH**

**Required Mathematics Core Courses (9 SCH Total)**

MATH 5321 Abstract Algebra 3 SCH

MATH 5331 Contemporary Geometry 3 SCH

MATH 5341Measure and Integration 3 SCH

**Restricted Electives (12 SCH Total)**

Take four out of the following six courses:

MATH 5348 Differential Equations 3 SCH

MATH 5361 Mathematical Modeling 3 SCH

MATH 5365 Discrete Mathematics 3 SCH

MATH 5367 Numerical Analysis 3 SCH

MATH 5379 Stochastic Analysis 3 SCH

MATH 5381 Mathematical Statistics 3 SCH

**Elective Courses (9 SCH Total)**

Take any three courses listed in the Graduate Mathematics Courses Inventory with the exception of MATH 5395 Research Seminar* and MATH 5397 Thesis and the courses designed for mathematics teaching option: MATH 5305 History of Mathematics, MATH 5307 Practicum in Collegiate Mathematics Teaching and MATH 5392 Special Topics in Mathematics for Teachers. With advisor’s approval student may replace up to two mathematics elective courses with graduate courses from another discipline.

**Special Requirements (6 SCH Total)**

**One of the following three options:**

With Comprehensive Examination

MATH 5395 Research Seminar (twice)

(The two seminars must be in two different areas in Mathematics)

Comprehensive Examination

With Project

MATH 5395 Research Seminar (twice)

(The two seminars must be in two different areas in Mathematics)

Project (The student must give a presentation at a conference/seminar and/or symposium, or publish an article).

With Thesis

MATH 5397 Thesis (twice)

(The two thesis courses may not be taken during the same semester).

Qualification for thesis option depends on the student performance on courses in the Required Mathematics Core Courses and Restricted Elective groups.

*Note: MATH 5395 Research Seminar is allowed once as an elective course if Thesis Option is chosen.

**M.S. in Teaching Mathematics with Project: 36 SCH**

**Required Mathematics Core Courses (9 SCH Total)**

MATH 5321 Abstract Algebra

MATH 5331 Contemporary Geometry

MATH 5341 Measure and Integration

**Restricted Electives (12 SCH Total)**

Take four out of the following 12 Education/Mathematics Education/Technology courses:

EDCI 6302 Practitioner Research 3 SCH

EDCI 6341 Teaching Algebraic concepts 3 SCH

EDCI 6343 Teaching Geometric Concepts 3 SCH

EDCI 6349 Current Issues and Research

in Mathematics Education 3 SCH

EDTC 6332 Practicum 3 SCH

EDTC 6357 Using Open Source Courseware

for Online Course Development 3 SCH

MATH 5305 History of Mathematics 3 SCH

MATH 5307 Collegiate Mathematics Teaching 3 SCH

MATH 5309 Integrating Technology

into mathematics 3 SCH

MATH 5392 Special Topics in Mathematics

for Teachers 3 SCH

**Elective Mathematics Course (12 SCH Total)**

Four courses selected from the following graduate level Mathematics courses:

MATH 5304 Foundations of Mathematics 3 SCH

MATH 5329 Number Theory 3 SCH

MATH 5339 Topology 3 SCH

MATH 5361 Mathematical Modeling 3 SCH

MATH 5362 Graph Theory 3 SCH

MATH 5365 Discrete Mathematics 3 SCH

MATH 5367 Numerical Analysis 3 SCH

MATH 5368 Codes, Cyphers and Security in

Communications 3 SCH

MATH 5381 Mathematical Statistics 3 SCH

MATH 5391 Special Topics in Mathematics 3 SCH

**Required Research Course (3 SCH Total) **

MATH 5395 Research Seminar 3 SCH

**Special Requirement**

The student must give a presentation at a conference/seminar/symposium and/or publish an article on a journal/proceeding.

**M.S. in Teaching Mathematics without Project: 36 SCH**

The same degree plan (above) without Required Research Course is implemented except you must take 5 electives mathematics courses and must take a Comprehensive examination.

**Transfer Students**

Graduate students transferring from another university may be admitted to the program. A maximum of nine graduate credit hours from an accredited university with grades of B or better may be applied to the total semester credit hours required for the degree, if approved by the departmental graduate committee.

**Graduate Course Descriptions**

**Mathematics**

MATH 5304 Foundations of Mathematics

This course studies elements of mathematical logic, set theory, number theory and selected topics from discrete mathematics like combinatorial analysis and graph theory. Mathematical proofs are emphasized. Lec 3, Cr 3

MATH 5305 History of Mathematics

This course introduces students to the history of the development of mathematical ideas and techniques from early civilization to the present. The focus will be on both the lives and the works of some of the most important mathematicians. Prerequisite: Departmental Approval.

MATH 5307 Practicum in Collegiate Mathematics Teaching

This course provides opportunities for students to have a practical experience in teaching college level mathematics courses supervised by faculty. Prerequisite: Departmental Approval.

MATH 5309 Integrating Technology to Mathematics

This is an introductory course related to the latest technological computer programs, especially in mathematics. It covers some of the following educational computer softwares: graphing calculator, dynamic geometry, computer algebra systems, publishing softwares and some multimedia and internet related softwares. Prerequisite: Departmental Approval. Lec 3, Cr 3

MATH 5321 Abstract Algebra

This course covers the principles and concepts of abstract algebra. Topics include: groups and their structure, rings, fields and their extensions, and representation of groups.

MATH 5323 Group Theory

This course is an introduction to group theory, one of the central areas in modern algebra. Topics will include the theorems of Jordan-Hoelder, Sylow, and Schur-Zassenhaus, the treatment of the generalized Fitting subgroup, a first approach to solvable as well as simple groups (including the theorems of Ph. Hall and Burnside). Prerequisite: Departmental Approval. Lec 3, Cr 3

MATH 5327 Lie Algebras

This course is an introduction to the theory of Lie Algebras. Topics include root systems, the Weyl group, nilpotent and solvable Lie Algebras, the theorems of Lie and Engel, Cartan subalgebras, Cartans criterion for semi-simplicity, Chevalley groups and groups of Lie type. Lec 3,Cr 3

MATH 5329 Number Theory

This course is an introduction to number theory, one of the major branches of modern mathematics. Topics include arithmetic functions (Moebius, Euler, Dirichlet), Dirichlet series (convergence, uniqueness, multiplicative property) distribution of primes (Dirichlet, Tchebycheff, Hadamard resp. de la Vallee Poussin), Riemann’s zeta function. Prerequisite: Departmental Approval. Lec 3,Cr 3

MATH 5331 Contemporary Geometry

This course contains selected topics in computational, combinatorial, and differential geometry as well as combinatorial topology. Topics include: the point location problem, triangulations, Voronoi diagrams and Delaunay triangulations, plane curves and curvature, surfaces and ployhedrons, and Euler characteristic.

MATH 5339 Topology

This course treats both the general and algebraic aspects of topology. It covers topological spaces, continuous mappings, connectedness and compactness, the fundamental group covering spaces, the Jordan Curve Theorem and a classification of surfaces. Lec 3, Cr 3

MATH 5341 Measure and Integration

This course is an introduction to the principles, concepts, and applications of modern analysis. Topics include: the Riemann integral, Lebesgue measure and Lebesgue integral, the Radon-Nikodym Theorem, and applications to Probability Theory.

MATH 5346 Functional Analysis

This course is an introduction to topological vector spaces. It presents the theory of Hilbert spaces, Banach space techniques and their applications, and basic facts on operator theory and spectral theory. Lec 3, Cr 3

MATH 5348 Differential Equations

This course covers first order and higher order ordinary differential equations, systems of solutions of linear differential equations, the Laplace transform, and several basic concepts of partial differential equations. Lec 3, Cr 3

MATH 5361 Mathematical Modeling

The contents of this course are widely open. It may include modeling with difference and differential equations, and stochastic processes. The course may be project-oriented. Prerequisite: Departmental Approval. Lec 3, Cr 3

MATH 5362 Graph Theory

This course provides the student with the basic ideas of Graph Theory as it is used in many branches of Industrial Mathematics. It contains Ramsey Theory, spanning trees, decision trees, matching theory, graph coloring, traveling salesman problems, networks, min-max theorems, flow, Ford-Fulkerson. Prerequisite: Departmental Approval Lec 3, Cr 3

MATH 5365 Discrete Mathematics

This course is on the borderline between mathematics and computer science. It contains basic graph theory (flows, min-max, Ford Fulkerson), generating functions, (Convolutions, Dirichlet’s generating function, Riemann’s zeta function), design theory, basic facts on coding theory (Reed-Solomon Codes), combinatorial optimization, elements of asymptotics (O-notation), and complexity of algorithms. Lec 3, Cr 3

MATH 5367 Numerical Analysis

This course deals with solutions of equations, interpolation and approximation, numerical differentiation and integration, numerical aspects of linear algebra, and solutions of ordinary differential equations. Lec 3, Cr 3

MATH 5368 Codes, Cyphers, and Security in Communications

This course addresses two related problems in communication theory. The first deals with errors that occur in the transmission of information: how they can be detected and how they can be corrected. The second is concerned with security of the transmitted information. Lec 3, Cr 3

MATH 5379 Stochastic Analysis

The main objective of this course is to study discrete stochastic processes and their applications. Topics include Markov process and Markov chains convergence theorems, stopping times, martingales, and applications in trading and marketing. Prerequisite: Departmental Approval. Lec 3, Cr 3

MATH 5381 Mathematical Statistics

This is a course in inferential statistics. Topics covered include random sampling, distribution of means and the central limit theorem, estimation problems, tests of hypotheses, linear regression, correlation, and analysis of variance. Prerequisite: Departmental Approval. Lec 3, Cr 3

MATH 5391 Special Topics in Mathematics

The contents of this graduate course come from different areas of pure and applied mathematics not available in other courses. This course may be repeated twice for credit as topics vary. Prerequisite: Departmental Approval. Lec 3, Cr 3

MATH 5392 Special Topics in Mathematics for Teachers

The topic of this course may come from different areas of Mathematics especially suited for teachers and not available in other courses. May be repeated twice for credit as content changes. Prerequisite: Departmental Approval.

MATH 5395 Research Seminar

This is a course to study the current thought and practice within several subject areas in mathematics. Topics include identifying valid research activities, review of literature and written or oral communication of a research paper. This course may be repeated as topics vary. Prerequisite: Departmental Approval. Lec 3, Cr 3

MATH 5397 Thesis

Participants will define and research some supervisory problems in their specific areas of interest. Participants will be directed in their study by a graduate faculty member. A formal research paper dealing with a specific supervisory problem will be required. This course may be repeated by the approval of the graduate advisor. Prerequisite: Departmental Approval. Lec 3, Cr 3

**Physics and Astronomy**

Dr. Soma Mukherjee Chair

SETB 2.210A

882-6679

soma@phys.utb.edu

**Graduate Faculty**

Matthew Benacquista, Professor

Taeviet Creighton, Assistant Professor

Mario Diaz, Professor

Phillip Dukes, Associate Professor

Natalia Guevara, Associate Professor

Andreas Hanke, Associate Professor

Fredrick Jenet, Associate Professor

Karen Martirosyan, Associate Professor

Soumya Mohanty, Associate Professor

Soma Mukherjee, Associate Professor

Richard Price, Professor

Volker Quetschke, Assistant Professor

Malik Rakhmanov, Assistant Professor

Joseph Romano, Professor

Ahmed Touhami, Assistant Professor

**Master of Science in Physics (M.S.)**

**30-Hour Thesis/Non Thesis Option**

Two options are available for the degree plan leading to the Master of Science in Physics, and the candidate must declare one of the options at the time of admission. Both options require 30 semester credit hours for successful completion.

**Admission Requirements**

Information related to the application procedure and deadlines is available through the Office of Graduate Studies (__utb.edu/graduatestudies__). All admission requirements as described in the Graduate Catalog remain in effect. Specific criteria for unconditional admission in the M.S. Physics program are as follows:
o Online application

o Undergraduate GPA of 3.0

o GRE General test scores (www.ets.org)

o The scores must be sent by ETS directly to the University. The ETS code for the University of Texas at Brownsville is 6588

o To provide some guidance to prospective applicants, the middle 50 percent of GRE-Quantitative scores for students admitted unconditionally in Fall 20101 ranged from 760 to 800

o Official transcripts from all previously obtained college-level degrees.

o Two letters of recommendation from people familiar with the applicant’s undergraduate or graduate scholastic record. The letters have to be mailed or emailed by the referee as follows:

o By postal mail to:

The Graduate Program Coordinator,

Department of Physics and Astronomy,

The University of Texas at Brownsville

80 Fort Brown,

Brownsville, TX 78520

U.S.A.

(The envelopes should be sealed and the seal should have the writer’s signature across it)

o By email to: gpcoordinator@phys.utb.edu with subject line of the email containing the name of the student

o Statement of Purpose. Include a letter outlining your motivation why you want to pursue a Masters in Physics. The statement can be provided during the online application process.

The following additional requirements apply for international students:

o TOEFL scores (www.ets.org/toefl) or IELTS scores (www.ielts.org).

The scores must be sent by the testing agency directly to the University. For TOEFL scores, the ETS code for the University of Texas at Brownsville is 6588.

o Foreign transcripts may be required to be translated and evaluated by a U.S. based agency when necessary at additional cost to the student. (Information on these services is available at the Office of Graduate Studies).

Financial Aid through Research and Teaching Assistantship is available for qualified students.

Applicants with an undergraduate GPA below 3.0 but at least 2.5 and/or GRE scores lower than those specified will be considered for admission on a conditional basis.

Contact address for the Department of Physics and Astronomy at UTB:

Graduate Program Coordinator

Department of Physics and Astronomy

The University of Texas at Brownsville

80 Fort Brown

Brownsville, TX 78520

**Admissions for Physics and Astronomy Five Year Integrated Masters**

The department of Physics & Astronomy enables highly motivated students with strong intellectual capacity to earn a Bachelor’s Degree (Bachelor in Multidisciplinary Studies (BMS) with concentration in Physics and Math) and a Master in Physics within five years. The integrated program is designed to prepare students for competitive doctoral programs and provide strong leadership skills and professional depth to students entering teaching positions. Almost all of the freshman Physics students get involved in research under a mentor right from the beginning, facilitating an integrated five year path towards a Master Degree.

o Minimum credits required for graduation - 138 semester credit hours (SCH) (120 (BMS) + 30 (MS) - 12 common = 138).

o Students are eligible to apply for admission into the five-year program during the semester they complete 63 SCH (48 general education core +15 Physics) of undergraduate coursework with at least 3.0 GPA and minimum 3.25 GPS in Physics courses.

o To be considered for admission to the five-year program, the students must submit an application for graduate study during the semester they complete 93 SCH. Only five-year program candidates demonstrating superior undergraduate academic performance in Physics (GPA>3.0) and strong recommendation will be admitted to the program.

o If admitted to the program, the student must complete at least 12 SCH of MS courses during the fourth year of the undergraduate study. Candidates should work with their advisors to determine which courses they should be taking up for the graduate study.

o Before the start of the second semester of the third year, they should submit GRE scores. The GRE scores will be judged at the same standard as any other incoming MS applicant.

o At the end of the fourth year, assuming all conditions are satisfactorily met, the students earn their Baccalaureate Degree.

o During the fifth year, the students complete remaining hours towards an MS Physics degree.

**Thesis Option**

The Master of Science program thesis option requires the successful completion of a minimum of 30 semester credit hours of Physics courses.

**Required courses (6 sch ):**

PHYS 6398 Thesis (repeated for a total of 6 sch)

Students must enroll in the Master’s Thesis course when recommended to do so by their advisor. They must take this course until final approval has been granted by the advisor. However, no more than 6 hrs of this course will count toward the M.S. degree. All candidates must comply with Office of Graduate Studies guidelines regarding thesis application, submission and defense.

**Elective courses (24 sch)**

Twenty four semester credit hours of Physics courses are required to complete the 30 credit hours. These courses will form part of the student’s Program of Study, with courses chosen to be appropriate for the background and research interests of each student. In the typical case, a student will take PHYS 5310, PHYS 5320, PHYS 5330 and PHYS 5340 as these are the traditional core courses for more advanced study (e.g., Ph.D. degree) and research. Additional credit hours may be taken from any of the elective physics courses or graduate courses offered by other departments previously approved by the Department of Physics and Astronomy Graduate Committee.

**Non-Thesis Option**

This option requires the successful completion of a minimum of 30 semester credit hours of Physics courses.

**Comprehensive Exam:** Non-thesis students must take a comprehensive written or oral examination covering the student’s understanding of graduate level Physics concepts. The comprehensive exam will be administered by a departmental committee and the student shall choose between a written or

oral examination in consultation with this committee. The semester in which the comprehensive exam is to be taken will appear on the program of study of non-thesis students. It will not be scheduled prior to the student’s final semester of coursework.

In the typical case, a student will take PHYS 5310, PHYS 5320, PHYS 5330 and PHYS 5340 as these are the traditional core courses for more advanced study (e.g., Ph.D. degree) and research. Additional credit hours may be taken from any of the elective physics courses or graduate courses offered by other departments previously approved by the Department of Physics and Astronomy Graduate Committee.

Every student admitted into the program will be required to set up a degree plan in consultation with the graduate committee and approved by the department chair. The degree plan will take into account the educational background of the student and his/her future plans. It will consist of a timeline showing the sequence of courses that the student needs to take in order to complete the program successfully. Progress of the student through the program will be measured against this baseline degree plan after the end of each semester. Any changes needed to the degree plan, agreed upon by the student and the graduate committee and approved by the department chair, will also come into effect at the end of each semester.

**Ph.D. in Physics Cooperative Between UTSA and UTB**

Students enrolled in The University of Texas at San Antonio (UTSA) Ph.D. Physics program now have the option to reside at UTB and conduct their research under the direction of a graduate faculty member of the UTB Physics and Astronomy Department. All requirements for the program including graduation requirements are the same as those established for the UTSA Ph.D. in physics program.

**Admission Requirements**

See the UTSA graduate catalog (www.graduateschool.utsa.edu) and the department specific requirements. Qualified students conducting their research at UTB will normally be supported financially through research assistantships. Contact the chair of the UTB Physics and Astronomy Department graduate curriculum committee for further information on financial aid.

**Program Requirements**

The doctoral degree requires a minimum of 81 semester credit hours beyond the bachelor’s degree. The coursework in the program includes a core curriculum (12 semester credit hours) and advanced electives (27 semester credit hours) including graduate courses offered by other departments with the approval of the student’s graduate advisor. Research hours, including Research Seminar (3 semester credit hours), Directed and Doctoral Research (27 semester credit hours) and Dissertation (12 semester credit hours), totaling at least 42 semester credit hours, complete the program.

**Transfer of credits**

Students who complete the M.S. in physics degree program at UTB can transfer up to a maximum of 30 credits from the following courses into the Ph.D. program. Non-degree students who take these courses may also petition UTSA for transfer of credits. (The list of courses for which credits can be transferred is provided later in this document).

**Courses**

A. Core Curriculum (12 semester credit hours):

PHYS 5103 Classical Mechanics I

PHYS 5203 Electrodynamics I

PHYS 5303 Statistical Mechanics

PHYS 5403 Quantum Mechanics I

B. Advanced Physics Electives (27 semester credit hours selected from the following or from graduate courses offered by other departments, e.g., Mathematics, Electrical Engineering, Chemistry, etc.):

PHYS 6103 Classical Mechanics II

PHYS 6113 Fluid Mechanics

PHYS 6123 Plasma Physics and Magneto hydrodynamics (MHD)

PHYS 6203 Electrodynamics II

PHYS 6303 Quantum Mechanics II

PHYS 6313 Solid State Physics

PHYS 6323 Nonlinear Optics and Lasers

PHYS 6403 Fundamentals of Space Physics

PHYS 6413 Fundamentals of Astronomy

PHYS 6503 Mathematical Physics I

PHYS 6513 Mathematical Physics II

PHYS 6523 Computational Physics

PHYS 6613 Methods of Experimental Physics

PHYS 6623 Space Physics Laboratory

Topics courses may be repeated for credit as the topics vary. The student should consult her/his graduate advisor if in doubt.

PHYS 7403 Topics in Biophysics and Biomedical Physics

PHYS 7503 Topics in Experimental Physics

PHYS 7603 Topics in Condensed Matter Physics

PHYS 7703 Topics in Space Physics

PHYS 7803 Topics in Theoretical Physics

PHYS 7903 Topics in Astrophysics

PHYS 7973 Special Topics in Physics

C. Doctoral Research (42 semester credit hours):

PHYS 7001-3 Directed Research (6 hours; prior to passing qualifying exam)

PHYS 7013 Research Seminar (3 hours)

PHYS 7101-3 Doctoral Research (21 hours; after successfully passing qualifying exam)

PHYS 7111-3 Doctoral Dissertation (12 hours)

Students must enroll in PHYS 7111-3 Doctoral Dissertation each semester that they receive advice and/or assistance on their dissertation. However, no more than 12 semester credit hours will count toward the Ph.D. degree. Students must attend the Research Seminar for a minimum of three full semesters during their graduate studies. However, no more than three semester credit hours may be applied to the Ph.D. degree.

**Candidacy**

All students seeking a doctoral degree at UTSA must be admitted to candidacy. One of the requirements for admission to candidacy is passing the “Doctoral Qualifying Examination.” Students should consult UTSA’s “Doctoral Degree Regulations” for the other requirements.

**Qualifying Examination**

The qualifying examination is divided into written and oral portions. The written portion will cover the four core courses. The oral portion covers the student’s proposed research program and related fundamentals, must be taken within one year after passing the written portion of

the qualifying examination, and will be evaluated by the student’s dissertation committee. Additional details are described in the UTSA Physics Department’s Graduate Student Handbook.

**Defense**

The final oral defense consists of a public presentation of the dissertation and a closed oral defense. It is administered and evaluated by the student’s dissertation committee and covers the dissertation and the general field of the dissertation. The dissertation committee must approve the dissertation.

**Courses for which credits can be transferred:**

The list below states the courses in the UTB M.S. in physics program for which credits can be transferred into the UTSA Ph.D. program. A maximum of 30 credit hours constituted by these courses are transferrable:

**Core Curriculum (12 SCHs):**

PHYS 5310 Classical Mechanics I (UTSA PHY 5103)

PHYS 5320 Electrodynamics I (UTSA PHY 5203)

PHYS 5330 Statistical Mechanics (UTSA PHY 5303)

PHYS 5340 Quantum Mechanics I (UTSA PHY 5403)

**UTB Advanced Physics Electives (18 semester credit hours selected from the following):**

PHYS 6330 Quantum Mechanics II (UTSA PHY 6303)

PHYS 6320 Electrodynamics II (UTSA PHY 6203)

PHYS 6331 Solid State Physics (UTSA PHY 6313)

PHYS 6350 Mathematical Physics I (UTSA PHY 6503)

PHYS 6351 Mathematical Physics II (UTSA PHY 6513)

PHYS 6352 Computational Physics (UTSA PHY 6523)

PHYS 6371 Thermodynamics and Kinetics of Biological Systems

PHYS 6373 Statistical Physics of Molecular Cell Biology

PHYS 5375 Structure and Function of Biological Molecules

PHYS 6381 Introduction to Astrophysics

PHYS 5387 Special Topics in Physics

PHYS 5392 Gravitational Wave Astronomy

PHYS 5393 Introduction to General Relativity and Gravitation

PHYS 5394 Advanced Statistical Methods for Modern Astronomy

Students conducting research at UTB can take some of the advanced Physics Elective courses or the Topics courses in the UTB Ph.D. program via distance education. The same applies for the Research Seminar course. UTB and UTSA have a direct video link to facilitate this.

**Graduate Course Descriptions**

**Physics**

Students wishing to enroll in the UTB/UTSA Cooperative PhD (Physics) Program may be required to take: PHYS 5310, PHYS 5320, PHYS 5330 and PHYS 5340 as these are required courses in the UTSA PhD degree program.

PHYS 5194 Advanced Statistical Methods for Modern Astronomy Laboratory

This graduate laboratory carries out the implementation in a Matlab environment of the data analysis topics that are being covered in the course. The laboratory has a well-designed curriculum to equip graduate students with the right skills for their subsequent research in astronomical data analysis. Lec 3, Cr 3

PHYS 5310 Classical Mechanics I

This graduate course will introduce students to Newtonian mechanics, Lagrangian and Hamiltonian dynamics, dynamics of rigid bodies, central force problem and orbital dynamics, symmetries and conservation laws, relativistic dynamics. Lec 3, Cr 3

PHYS 5320 Electrodynamics I

This graduate course will cover electrostatics and magnetostatics, boundary value problems, Maxwell’s equations, plane waves, wave guides diffraction, multiple radiation. Lec 3, Cr 3

PHYS 5330 Statistical Mechanics

This graduate course will introduce students to thermodynamics, equilibrium statistical mechanics, Boltzmann equation and the collision operator, moments of the Boltzmann equations, the Navier-Stokes equations, introduction to non-equilibrium concepts, ensembles, classical and quantum gases, statistical physics of solids. Lec 3, Cr 3

PHYS 5340 Quantum Mechanics I

This graduate course will cover linear vector spaces and linear operators, postulates, Hilbert space formulation, the Schrödinger equation and one-dimensional problems, the hydrogen atom, symmetries, rotational invariance and angular momentum, spin, system with N-degrees of freedom. Lec 3, Cr 3

PHYS 5360 Optics

This course is an introduction to the field of optics and its modern applications. The course will start with Huygens principle, the wave equation, and the superposition principle. Fraunhofer and Fresnel diffraction, coherence theory, interferometry, and Gaussian optics are among the topics that will also be covered. Co-requisite: PHYS 5320 or consent of instructor.

PHYS 5361 Applied Electromagnetics

This is an advanced graduate course in electromagnetic field theory and electrodynamics, with particular emphasis on EM wave interaction with materials, scattering and guided waves. The course will cover in great details the physics underlying electromagnetic wave propagation and the engineering of devices such as antennas, arrays, and periodic passive structures that take advantage of these concepts. Prerequisite: PHYS 5320 and PHYS 5360

PHYS 5375 Structure and Function of Biological Molecules

This course will provide in-depth assessment of structure of biological molecules, with emphasis on structure-function relationship. Physical principles underlying formation of secondary and tertiary structure of proteins, structural dynamics of DNA and DNA-protein interactions will be reviewed. Prerequisite: Consent of instructor. Mastery of differential equations and mathematical methods at an undergraduate level is expected. Lec 3, Cr 3

PHYS 5387 Special Topics in Physics

This graduate course will introduce students to different topics. The topics will be announced. May be repeated for credit. Prerequisite: Instructor approval. Lec 3, Cr 3

PHYS 5392 Gravitational Wave Astronomy

This course provides a basic and broad description of astrophysics related to sources of gravitational radiation, gravitational wave detectors, numerical relativity, and data analysis. Lec 3, Cr 3

PHYS 5393 Introduction to General Relativity and Gravitation

This graduate course introduces Einstein’s theory of relativity and other topics in the field of gravitation. Topics covered are the Principle of Equivalence, Introduction to Differential geometry and tensor analysis. Also studied are physics on curved manifolds, Einstein’s equations of General Relativity, exact solutions of Einstein’s equations, the Schwarzschild and Kerr solutions, Black Hole Physics and Cosmology, Gravitational radiation and its detection. Prerequisites: PHYS 3310, PHYS 3390, PHYS 3400, PHYS 4330 Lec 3, Cr 3

PHYS 5394 Advanced Statistical Methods for Modern Astronomy

This course will introduce the student to: gravitational wave astronomy and the detectors, advanced statistical methods, computational methods, introduction to grid computing and the LSC grid. The course has a mandatory laboratory component which will train the students in advanced statistical data analysis and grid computing. Prerequisites: MATH 3447 and Calculus III and PHYS 3490 Mathematics for scientists and engineers I, or consent of instructor

PHYS 6320 Electrodynamics II

This course will introduce the student to relativistic formulation of Maxwell equations, radiation from moving charges, collisions of charged particles, radiation damping, introduction to plasmas, and magneto hydrodynamics. Prerequisite: PHYS 5320. Lec 3, Cr 3

PHYS 6330 Quantum Mechanics II

This course will introduce the student to variational and WKB methods, time-independent and time-dependent perturbation theory, scattering theory, path integration formulation, introduction to relativistic quantum mechanics and the Dirac equation. Prerequisite: PHYS 5340. Lec 3, Cr 3

PHYS 6331 Solid State Physics

This graduate course will introduce the student to lattice vibrations and thermal properties of solids, band theory of solids, transport properties of metals and semiconductors, optical properties, magnetic properties, magnetic properties, magnetic relaxation, superconductivity, elementary excitations, interactions phonon-phonon, electron-electron, electron-phonon, theory of metals and semiconductors, transport theory, and optical properties. Prerequisite: PHYS 5340. Lec 3, Cr 3

PHYS 6350 Mathematical Physics I

This graduate course will include linear algebra, ordinary and partial differential equations, special functions, eigenvalue problems, complex analysis, group theory. Lec 3, Cr 3

PHYS 6351 Mathematical Physics II

This course will introduce the student to advanced topics in mathematical physics, topology, functional analysis, differentiable manifolds, Lie groups and algebras, and cohomology theory. Prerequisite: PHYS 6350. Lec 3, Cr 3

PHYS 6352 Computational Physics

The course will cover introduction to numerical techniques for solving physics problems, theory of computation and applications to various branches of physics, sample problems might include chaotic motion and nonlinear dynamics, particle trajectories, Monte Carlo simulations, dynamical and statistical descriptions of many body problems, hyperbolic, parabolic, and elliptic differential equations.

PHYS 6362 Quantum Optics

This course introduces the student to non-linear optics and the new field of observing quantum effects in small groups of atoms, starting from a few and down to one. Topics include field quantization, emission and absorption of radiation by atoms, nonlinear optics and parametric conversion, non-classical light, optical tests of quantum mechanics, and experiments with trapped atoms. Prerequisites: PHYS 5360 and PHYS 5340 or consent of instructor.

PHYS 6363 Electromagnetic Metamaterials

This course covers the electromagnetic characterization of metamaterials that is engineered materials with characteristics which may not be found in nature, with particular emphasis on technological applications. The course provides a deep insight into the fundamental physics needed to fully grasp the technology of antennas, arrays, and frequency selective surfaces using non-conventional materials. Prerequisite: PHYS 5361 or consent of instructor. Lec 3, Cr 3

PHYS 6364 Nanophotonics: materials and devices

This course will cover general concepts of nanophotonics which is a new field of physics focused on studies of interaction of light with matter on the nanometer scale. Topics covered will include near-field optics, photonic crystals, negative index materials, nanocavities, integrated photonic circuits, and their fabrication techniques. Prerequisites: PHYS 5320 and PHYS 5360 or consent of instructor. Lec 3, Cr 3

PHYS 6371 Thermodynamics and Kinetics of Biological Systems

This course provides students with fundamentals of statistical thermodynamics, electrostatics and electrochemistry, enzyme kinetics and molecular driving forces. Prerequisite: Consent of instructor.

PHYS 6373 Statistical Physics of Molecular Cell Biology

This course introduces students to the basic physical laws governing the life of cells and its material and explains the latest research regarding physical aspects of molecular cell biology, and discusses physical methods used in today’s laboratories. Prerequisite: Consent of the instructor.

PHYS 6381 Introduction to Astrophysics

This graduate course will introduce students to a range of basic topics in astrophysics: stars, stellar evolution, neutron stars, black holes, galactic dynamics, galaxies, large scale structure in the Universe and cosmology. Prerequisites: PHYS 5320 and PHYS 5310.

PHYS 6386 Research Problems in Physics

This course is ideally suited for short-term research projects with well-defined goals. For example, writing a journal paper for publication could be undertaken under this course. This course can be taken by students in both the thesis and non-thesis option. A written report and a seminar are required to pass this course. This course shall not be counted as Thesis research. Consent of instructor required.

PHYS 6396 Graduate Research in Physics

This graduate course is a research in physics course in preparation for thesis work (Research I).

Prerequisite: graduate advisor approval. Lec 3, Cr 3

PHYS 6398 Thesis I

This graduate course initiates students in their thesis work. Prerequisite: graduate advisor approval.

**Additional Courses in Science, Mathematics and Technology**

**Chemistry**

CHEM 5303 Advanced Biochemistry

This course is a study of contemporary biochemical topics which include: protein structure and function, enzyme mechanism and kinetics, membrane molecular architecture, nucleic acid biochemistry, gene structure and expression, control of gene expression, cell signaling and motility, molecular immunology and tools of biochemistry. It is recommended that the student complete CHEM 3304 prior to enrolling in this course. Prerequisite: CHEM 3301, 3314 or instructor’s permission.

CHEM 5306 Environmental Chemistry

This course covers environmental issues and the chemistry associated with these issues. Key areas include energy use and production, the atmosphere, the hydrosphere. Specific topics to be discussed include fossil fuels, nuclear and solar energy, the “Greenhouse effect,” ozone chemistry, air and water pollution, water resources, nitrogen and food production, and agrochemicals. Prerequisite: CHEM 1311, 1312, 2323; BIOL 1306 (or 1308), 1307 (or 1309); PHYS 1301. Lec 3, Cr 3

**Engineering**

ELET 5302 Circuits and Systems

A review of linear circuit and network theory, supported by introduction of circuit simulation programs with some emphasis on high frequency circuit operation. Then transmission line theory and operation will be explored. The course will culminate with a study of system response to stimulation using high speed system stimulation programs. Prerequisite: PHYS 1302 or PHYS 1402 or PHYS 2326, MATH 2414 or departmental consent. Lec 3, Cr 3

ELET 5310 Analog and Digital Communication I

Introductory course based upon the principle to provide a thorough treatment of the principles of communications at the physical layer suitable for graduate studies. This is accomplished by providing fundamentals in telecommunications including analysis of modulation, transmission media, noise in modulation systems, modulation and demodulation techniques, binary data transmission, modern communications models and standards and information theory and coding. Prerequisite: ENGT 3303 or departmental consent. Lec 3, Cr 3

ELET 5312 Electromagnetic Propagation I

Electromagnetic wave propagation in different material, transmission, terrain evaluation, and antenna characteristics will be covered. Prerequisite: PHYS 1302, PHYS 1402 or PHYS 2326. ENGT 3303 or departmental consent. Lec 3, Cr.3

ELET 5361 Electromagnetic Applications

It will introduce the aspect related to high frequency technology. It will prove useful to technical personnel working in the field of microwaves. In order to provide a comprehensive course at the technology level, emphasis is given to application rather than theory. Sufficient theoretical background is included where this appears to be helpful. The course also covers the principles of operation and constructional features of a wide range of microwave hardware. This course will provide student with advanced capabilities and skills in engineering problem solving related to microwave technology. Prerequisite: ELET 5310. Lec 3, Cr 3

ELET 5370 Technological Changes in Business

Technological changes in a variety of industries will be covered. Impact of such technological changes on cost and competitiveness will be reviewed. Lec 3, Cr 3

Environmental Sciences

ESCI 5170 Environmental Sciences Lab

Specialized lab content for contemporary topics in environmental sciences not available in other courses. May be repeated for credit as topic changes. Prerequisites: Graduate standing and permission of instructor. Concurrent enrollment in corresponding lecture. Cr 1.

ESCI 5370 Environmental Sciences

Specialized lecture content for contemporary topics in environmental sciences not available in other courses. May be repeated for credit as topic changes. Prerequisite: Graduate standing and permission of instructor. Lec 3, Cr 3

**Geography**

GEOG 5320 Cultural Geography for Educators

The study of the interaction between humans and the natural environment. Major emphasis in the course is given to human cultural diversity. Topics discussed include population distribution and demography, agriculture practices and regions, patterns and processes of religions and their spatial distributions, ethnicity and nations, urban geography and the development of cities, and natural resources and their management. Prerequisite: Graduate Standing. Lec 3, Cr 3

GEOG 5333 Geography of Latin America

A regional study of the geography of Mexico, the Caribbean, Central and South America. This course will include an investigation of the physical, cultural and economic factors of various regions and how these affect present day conditions. Prerequisite: Graduate Standing.

GEOG 5334 Conservation of Natural Resources

A survey of the distribution of world resources, with special emphasis on new and novel solutions to problems of resource scarcity. Topics include food, scenic and recreational resources, and other selected components of the biosphere and lithosphere. Cultural, economic, demographic, and political behaviors of human societies are considered as they affect the world’s physical resources. Prerequisite: Graduate Standing. Lec 3, Cr 3

GEOG 5440 Geographic Information Systems

This course covers the basics of Geographic Information Systems (GIS) concepts and software such as ArcView and ArcGIS. Special attention will be given to data acquisition, processing, data management and the generation of base maps. Lec 3, Lab 3, Cr 4.

GEOG 5441 Principles of Remote Sensing

This course will emphasize the application of remote sensing and image analysis in the earth sciences; qualitative and quantitative satellite image and air photo interpretation. Additional emphasis will be placed on the use of computer processing packages. Lec 3, Lab 2, Cr 4.

Geology

GEOL 5170 Topics in Geology Lab

Specialized lab content for contemporary topics in geology not available in other courses. May be repeated for credit as topics change. Prerequisites: Graduate standing and permission of instructor. Concurrent enrollment in corresponding lecture. Cr 1.

GEOL 5310 Earth Science for Educators I

This is the first part of a graduate level, hands-on Earth Science course designed for education majors enrolled in the EC-8 program. The course will provide the students with basic theoretical background in Earth Science with hands-on workshops to enable the student to understand the Earth Science processes at present on the Earth’s surface. Prerequisite: GEOL 1403 and 1404. Lec 3, Cr 3

GEOL 5320 Earth Science for Educators II

This is the second part of a graduate level, hands-on Earth Science course designed for education majors enrolled in the EC-8 program. This course will provide the students with a basic theoretical background in Earth Science with hands-on workshops to enable the student to understand the Earth Science processes at present on the Earth’s surface. Prerequisite: GEOL 5310. Lec 3, Cr 3

GEOL 5370 Topics in Geology

Specialized lecture content for contemporary topic for credit as topics change. Prerequisites: Graduate standing and permission of instructor. Lec 3, Cr 3

**Interdisciplinary Science**

ISCI 7300 Thesis

Prerequisite: Approval of graduate advisor or faculty advisor. Cr 3

ISCI 7301 Thesis

Prerequisite: Approval of graduate advisor or faculty advisor. Cr 3

**Manufacturing**

MFET 5301 Design for Manufacture

This course deals with the factors influencing product design and manufacturability. Topics include component design and analysis, design for manufacturability, design for manual and automated assembly and concurrent engineering. Students learn how to reduce material and part costs, assembly time, and number of parts in a product. Prerequisite: Bachelor of Engineering Technology or Engineering or departmental approval. Lec 3, Cr 3

**Physical Sciences**

PSCI 5310 Physical Science for Teachers

This graduate level course is designed for in-service elementary and middle school teachers who will be

in Geology not available in other courses. May be repeated implementing hands-on science learning in their classrooms. Students in the Master of Education in Curriculum and Instruction with emphasis in Science Education can use the credit for this course to fulfill the requirements for science content. The course will provide the teachers with necessary theoretical background in classical physics, will develop skills in physical experimentation using FOSS modules and other available lab equipment and will enable the students to apply the basic laws of physics. Prerequisite: Graduate standing or departmental approval. Lec 3, Cr 3

PSCI 5320 Physical Science for Teachers II

This is the second semester course of Physical Science for Teachers. This course will provide teachers with necessary theoretical background in classical physics, will develop skills in physical experimentation, and will enable students to apply the basic laws and principles of physics to experimental observations. Lec 3, Cr 3

PSCI 5330 Physical Science for High School Teachers I

This course provides high school teachers a deeper understanding of classical physics. Laws of motion, applications of Newton’s Laws, and work-energy relations are the major parts of this graduate level physical science course. This course will provide teachers with an abundant theoretical background in physics and current research practice with practical experience in related physics labs. Prerequisite: Graduate standing with a BS or BA degree in a science discipline or department approval. Lec 3, Cr 3

PSCI 5340 Physical Science for High School Teachers II

This course is the continuation of Physical Science for High School Teachers I. Thermodynamics, electrostatistics, electricity and magnetism, waves, light and optics, and quantum physics are the major parts of this graduate level physical science course. This course will provide teachers with an abundant theoretical background in physics and current research practice with practical experience in related labs. Prerequisite: PSCI 5330 with a grade of B or better. Lec 3, Cr 3