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Mathematical Sciences (B.S.)

Mathematics is both a profession and an indispensable tool for many types of work. As a tool, mathematics is a universal language which has been crucial in formulating and expressing ideas not only in science and engineering, but also in many other areas such as business and the social sciences. As probably the oldest and most basic science, it provides the key to understanding the major technological achievements of our time.

Of equal importance, knowledge of mathematics may help provide a student with the type of uncompromising and clear sighted thinking useful in considering the problems of many other disciplines. The Mathematical Sciences degree program encompasses mathematics, statistics, and applied mathematics.

Applied mathematics and statistics continue to enjoy a rapid growth. Students have the opportunity of applying their expertise to any of a number of fields of application. For the student to be more effective in such applications, Mathematical Sciences also offers degree programs allowing additional emphasis in the areas of actuarial science, computer science, electrical engineering, and management.

Those interested in obtaining both a B.S. in Mathematical Sciences and Teacher Certification in the state of Texas should consult the Office of Teacher Education for specific requirements as soon as possible after formal admission to the University. See the Teacher Education section of this catalog for additional information.

The Mathematical Sciences degree program also prepares students for graduate studies. An accelerated B.S./M.S. Fast Track program is available which provides the opportunity for undergraduate students to satisfy some of the requirements of the master’s degree while they are completing the bachelor’s degree in Mathematical Sciences.

Faculty

Professors: Larry P. Ammann, Tiberiu Constantinescu, M. Ali Hooshyar, Patrick L. Odell (Emeritus), Istvan Ozsvath, Ivor Robinson (Emeritus), Robert Serfling, Janos Turi, John W. Van Ness, John Wiorkowski
Associate Professor: Michael I. Baron, Viswanath Ramakrishna
Assistant Professor: Pankaj Choudhary, Mieczyslaw Dabkowski
Associated Faculty: Thomas R. Butts (Science and Mathematics Education)
Senior Lecturers: Frank R. Allum, William Donnell, Bentley Garrett, Grigory Kramer, David L. Lewis, Joanna R. Robinson, William Scott, Paul Stanford, H. Edward Stone

The Options

Students seeking a degree in the Mathematical Sciences may specialize in Mathematics, Statistics, or Applied Mathematics. Each option allows some flexibility in electives so that students can better adapt their degree plans to their educational goals.

Mathematics: For students interested in the intellectual satisfaction ofa career in mathematics per se and/or possiblyfor students interested in continuing on to graduate work in mathematics, applied mathematics, math education, and related areas.

Statistics: For students interested in probability and statistical models and their use in data analysis and decision making and for students interested in continuing on to graduate work in statistics, biostatistics, actuarial science, and other statistics related areas.

Applied Mathematics: For students interested in mathematics for the purpose of using it broadly in various areas of application and for students interested in continuing on to graduate work in applied mathematics and related areas.

Fast Track Baccalaureate/Master’s Degrees

For students interested in pursuing graduate studies in mathematics, the Mathematics Department offers an accelerated B.S./M.S. Fast Track that involves taking graduate courses instead of several advanced undergraduate courses. Acceptance into the Fast Track is based on the student’s attaining a GPA of at least 3.2 in all mathematics classes and being within 30 hours of graduation. Fast Track students may, during their senior year, take 15 graduate hours which may be used to complete the baccalaureate degree. After admission to the graduate program, these 15 graduate hours may also satisfy requirements for the master’s degree. Fast Track programs are offered in math, applied math, and statistics.

Bachelor of Science in Mathematical Sciences
Degree Requirements (120 hours)

I. Core Curriculum Requirements¹: 42 hours
    A. Communication (6 hours)
        3 hours Communication (RHET 1302)
        3 hours Communication Elective (NATS 4310)²
    B. Social and Behavioral Sciences (15 hours)
        6 hours Government (GOVT 2301 and 2302)
        6 hours American History
        3 hours Social and Behavioral Sciences Elective
    C. Humanities and Fine Arts (6 hours)
        3 hours Fine Arts (ARTS 1301)
        3 hours Humanities (HUMA 1301)
    D. Mathematics and Quantitative Reasoning (6 hours)
        6 hours Calculus (MATH 2417 and 2419)³
    E. Science (9 hours)
        Math/Applied Math Options
            PHYS 1100 The Fun of Physics (or any science course)
            PHYS 2125 Physics Laboratory I
            PHYS 2126 Physics Laboratory II
            PHYS 2325 Mechanics and Heat
            PHYS 2326 Electromagnetism and Waves
            And an additional acceptable science course
        Statistics Option
            PHYS 1100 The Fun of Physics (or any science course)
            PHYS 2325/2125 Mechanics and Heat with Laboratory and
            PHYS 2326/2126 Electromagnetism and Waves with Laboratory
                or CHEM 1311/1111 and 1312/1112 General Chemistry I and II with Laboratory
            And an additional acceptable science course

¹ Curriculum Requirements can be fulfilled by other approved courses from accredited institutions of higher education. The courses listed in parenthesis are recommended as the most efficient way to satisfy both Core Curriculum and Major Requirements at U.T. Dallas.

II. Major Requirements: 48 hours
    Major Preparatory Courses (15 hours)
        CS 1337* Computer Science I
        MATH 2417 Calculus I³
        MATH 2418* Linear Algebra
        MATH 2419 Calculus II³
        MATH 2420* Differential Equations with Applications
        MATH 2451* Multivariable Calculus with Applications
    Major Core Courses (21 hours)
        MATH 3310 Theoretical Concepts of Calculus
        MATH 3311 Abstract Algebra I
        MATH 3379 Complex Variables
        MATH 4301 Mathematical Analysis I
        MATH 4302 Mathematical Analysis II
        MATH 4334 Numerical Analysis
        NATS 4310² Advanced Writing in the Natural Sciences and Mathematics
        STAT 4351 Probability
    Major Related Courses (12 hours)
        Applied Math Option
            MATH 4341 Topology
            MATH 4355 Methods of Applied Mathematics
            MATH 4362 Partial Differential Equations
            STAT 4382 Stochastic Processes
        Mathematics Option
            MATH 3312 Abstract Algebra II
            MATH 3321 Geometry
            MATH 4341 Topology
            3 hours upper-division guided elective
        Statistics Option
            STAT 3355 Data Analysis for Statisticians and Actuaries
            STAT 4352 Mathematical Statistics
            STAT 4382 Stochastic Processes
            3 hour upper-division guided elective

² A Major course requirement that also fulfills a Core Curriculum requirement. If hours are counted in the Core Curriculum, students must complete additional coursework to meet the minimum requirements for graduation. Course selection assistance is available from the undergraduate advisor.
³ Two hours of Calculus are counted as electives; six hours are counted in Core Curriculum.
⁴ Approval of Mathematical Science department advisor required.
* Indicates a prerequisite class to be completed before enrolling in upper-division classes.

III. Elective Requirements: 30 hours
    Advanced Electives (6 hours)
        All students are required to take at least six hours of advanced electives outside their major
        field of study. These must be either upper-division classes or lower-division classes that
        have prerequisites.
    Free Electives (24 hours)
        Both lower- and upper-division courses may count as electives, but the student must
        complete at least 51 hours of upper-division credit to qualify for graduation.

Mathematical Sciences Options with Actuarial Science Emphasis

Statistics Option together with following courses:

AIM 2301 Introductory Financial Accounting
BA 3341 Business Finance
BA 3351 Introduction to Management Information Systems
BA 4345 Money and Capital Markets
BA 4346 Investment Management
STAT 4372 Actuarial Science
And any two of the following courses:
AIM 2302 Introductory Management Accounting
AIM 3331 Intermediate Financial Accounting I
BA 4347 Applied Corporate Finance
ECO 4330 Law and Economics

Notes: AIM 2301 must be taken before BA 3341, 4345, 4346 and 4347.
MATH 1325 or MATH 2417 relates to Exam 100 of Society of Actuaries (SOA) and Exam 1A of the Casualty Actuarial Society (CAS) and MATH 4334 relates to Exam 135 of SOA.
STAT 4351 and STAT 4352 relate to Exam 110 of SOA and Exam 1B of CAS. STAT 3355 and STAT 4382 relate to Exam 120 of SOA and Exams 3F, 3G, 4A, 4B, 4C of CAS. STAT 4372 relates to Exams 3E, 3H and the rest of Exam 4 of CAS and Exam 150 of SOA.

Mathematical Sciences Options with Computer Science Emphasis

Applied Mathematics Option or Statistics Option together with following courses:
CS 2305 Discrete Mathematics for Computing I
CS 2336 Computer Science II
CS 3305 Discrete Mathematics for Computing II
CS 3335 C and C++
CS 3345 Algorithm Analysis and Data Structures
CS 4337 Organization of Programming Languages
CS 4340 Computer Architecture

Mathematical Sciences Options with Electrical Engineering Emphasis

Applied Mathematics Option or Statistics Option together with following courses:
EE 3101 Electrical Network Analysis Laboratory
EE 3111 Electronic Circuits Laboratory
EE 3120 Digital Circuits Laboratory
EE 3301 Electrical Network Analysis
EE 3311 Electronic Circuits
EE 3320 Digital Circuits
EE 4301 Electromagnetic Engineering I

Mathematical Sciences Options with Management Emphasis

Mathematics Option, Applied Mathematics Option or Statistics Option together with following courses:
AIM 2301 Introductory Financial Accounting
AIM 2302 Introductory Management Accounting
BA 2301 Business and Public Law
BA 3341 Business Finance
BA 3351 Introduction to Management Information Systems
BA 3361 Organizational Behavior

NOTE: Students transferring into Mathematical Sciences at the upper division level are expected to have completed all of the 1000 and 2000 level mathematics core course requirements.

Minor in Mathematical Sciences

Students not majoring in Mathematical Sciences may obtain a minor in Mathematics or Statistics by satisfying the following requirements:

18 credit hours of mathematics or statistics, 12 hours of which must be chosen from the following courses:

Mathematics Minor: MATH 3310, MATH 4334 and two more upper-division mathematics courses that satisfy degree requirements by students in Mathematical Sciences.

Statistics Minor: STAT 4351, STAT 4352 and two more upper-division statistics courses that satisfy degree requirements by students in Mathematical Sciences.

The University of Texas at Dallas 2004-2006 Undergraduate Catalog
Volume 30, Number 1
Copyright © The University of Texas at Dallas

This catalog is a general information publication only. It is not intended to nor does it contain all regulations that relate to students. The provisions of this catalog do not constitute a contract, express or implied, between any applicant, student or faculty member and The University of Texas at Dallas or The University of Texas System. The University of Texas at Dallas reserves the right to withdraw courses at any time, to change fees or tuition, calendar, curriculum, degree requirements, graduation procedures, and any other requirements affecting students. Changes will become effective whenever the proper authorities so determine and will apply to both prospective students and those already enrolled.

Statement on Equal Educational Opportunity
The University of Texas at Dallas is committed to an educational and working environment that provides equal opportunity to all members of the University community. In accordance with federal and state law, the University prohibits unlawful discrimination on the basis of race, color, religion, national origin, gender, age, disability, and veteran status. Discrimination on the basis of sexual orientation is also prohibited pursuant to University policy.