School of Natural Sciences and Mathematics

Mathematics (BA, BS)

Mathematics is both a profession and an indispensable tool for many types of work. As a tool, mathematics is a universal language that 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 Mathematics degree program encompasses mathematics, statistics, and applied mathematics. The Mathematical Sciences Department also administers a Bachelor of Science in Actuarial Science.

Students interested in obtaining either a BA or a BS in Mathematics and Teacher Certification in the state of Texas should consult the UTeach Dallas office or the Teacher Development Center for specific requirements as soon as possible after formal admission to the University. See the Teacher Education Certification Programs section of the catalog for additional information.

The Mathematics degree program also prepares students for graduate studies. Accelerated BS/MS Fast Track programs are available that provide the opportunity to partially satisfy the requirements of a master's degree while completing the bachelor's degree in Mathematics.

The Program in Mathematics

Students seeking a degree in Mathematics may choose from a variety of courses, which allow for flexibility and specialization so that students can better adapt their educational experience to further their academic goals. Students entering the field of mathematics at UT Dallas are prepared not only for careers in these areas, but also in numerous other professions that require expertise in mathematics.

Students who pursue a BS degree in mathematics typically use their degree in the fields of mathematics, statistics, science, or engineering. BS students choose a specialization in either mathematics, statistics or applied mathematics.

Mathematics Specialization: For students interested in a career in mathematics and for those who choose to continue their education at the graduate level in mathematics, applied mathematics, mathematics education or disciplines, such as statistics and data science, which use mathematics.

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

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

Students who pursue a BA degree in mathematics generally use mathematics as background for study in fields such as arts and technology, education, engineering or science.

Bachelor of Arts in Mathematics

Degree Requirements (120 semester credit hours)

View an Example of Degree Requirements by Semester

All majors are strongly urged to meet with assigned departmental advisors every semester

Faculty

FACG> nsm-mathematics-ba

Professors: Swati Biswas @sxb125731, Min Chen @mxc136030, Pankaj Choudhary @pkc022000, Baris Coskunuzer @bxc190014, Mieczyslaw Dabkowski @mkd034000, Vladimir Dragovic @vxd123630, Sam Efromovich @sxe062000, Yulia Gel @yxg142030, Wieslaw Krawcewicz @wzk091000, Susan Minkoff @sem120030, L. Felipe Pereira @lfp140030, Dmitry Rachinskiy @dxr124030, Viswanath Ramakrishna @vish, Janos Turi @turi, John Zweck @jwz120030

Associate Professors: Maxim Arnold @mxa149530, Yan Cao @yxc069200, Liang Hong @lxh019000, Oleg Makarenkov @oxm130230, Tomoki Ohsawa @txo140730, Anh Tran @att140830

Assistant Professors: Carlos Arreche @cxa171230, Noirrit Chandra @nxc220031, Ronan Conlon @rxc200021, Rizwanur Khan @rxk230072, Qiwei Li @qxl190009, Stephen McKeown @sxm190098, Chuan-Fa Tang @cxt190011, Jiayi Wang @jxw220029, Nathan Williams @nxw170830, Nan Wu @nxw220012, Yunan Wu @yxw200032

Professors Emeriti: Larry Ammann @ammann, Ali Hooshyar @ali, Patrick Odell @pxo062000, John Van Ness @ness

Clinical Professor: Natalia Humphreys @nah103020

Clinical Associate Professor: Mohammad Akbar @mma110020

Clinical Assistant Professor: Wenyi Lu @wxl153330

Professors of Instruction: Anatoly Eydelzon @axe031000, Manjula Foley @mxf091000, Bentley Garrett @btg032000, Yuly Koshevnik @yxk055000

Associate Professors of Instruction: Mohammad Ahsan @mka120030, Kelly Aman @kxa143530, Malgorzata Dabkowski @mxd066000, Rabin Dahal @rxd153030, Derege Mussa @dxm146130, My Linh Nguyen @mln018200, Jigarkumar Patel @jsp061000, Julie Sutton @jxs158030

Assistant Professors of Instruction: Anani Komla Adabrah @aaa130530, Iris Alvarado @ila180000, Saikat Biswas @sxb230137, Hui Ding @hxd162130, Adannah Duruoha @axd180037, Kemelli Estacio-Hiroms @kxe160930, Huizhen Guo @hxg190020, Shengjie Jiang @sxj220069, Joselle Kehoe @jxk061000, Runzhou Liu @rxl210013, Neha Makhijani @nxm165130, Irina Martynova @ixm140930, Diarisoa Mihaja Rakotomalala @dmr150130, Adrian Murza @acm170730, Ajaya Paudel @abp062000, Octavious Smiley @oxs230011, Nasrin Sultana @nxs190039, Che-Yu Wu @cxw153530

I. Core Curriculum Requirements: 42 semester credit hours¹

Communication: 6 semester credit hours

Select any 6 semester credit hours from Communication Core courses (see advisor)

Mathematics: 3 semester credit hours

MATH 2417 Calculus I^{2, 3, 4}

Or select any 3 semester credit hours from Mathematics Core courses (see advisor)

Life and Physical Sciences: 6 semester credit hours^{2, 5}

PHYS 2325 Mechanics

or PHYS 2421 Honors Physics I - Mechanics and Heat

PHYS 2326 Electromagnetism and Waves

or PHYS 2422 Honors Physics II - Electromagnetism and Waves

Or select any 6 semester credit hours from Life and Physical Sciences Core courses (see advisor)

Language, Philosophy and Culture: 3 semester credit hours

Select any 3 semester credit hours from Language, Philosophy and Culture Core courses (see advisor)

Creative Arts: 3 semester credit hours

Select any 3 semester credit hours from Creative Arts Core courses (see advisor)

American History: 6 semester credit hours

Select any 6 semester credit hours from American History Core courses (see advisor)

Government/Political Science: 6 semester credit hours

Select any 6 semester credit hours from Government/Political Science Core courses (see advisor)

Social and Behavioral Sciences: 3 semester credit hours

Select any 3 semester credit hours from Social and Behavioral Sciences Core courses(see advisor)

Component Area Option: 6 semester credit hours

MATH 2417 Calculus I^{2, 3, 4}

MATH 2419 Calculus II^{2, 3, 4}

PHYS 2125 Physics Laboratory I^{2, 5}

or PHYS 2421 Honors Physics I - Mechanics and Heat^{6, 7}

Or select any 6 semester credit hours from Component Area Option Core courses (see advisor)

II. Major Requirements: 48-49 semester credit hours

Major Preparatory Courses: 15-16 semester credit hours beyond Core Curriculum

PHYS 2325 Mechanics^{2, 5}

and PHYS 2125 Physics Laboratory I^{2, 5}

or PHYS 2421 Honors Physics I - Mechanics and Heat^{2, 7, 8}

PHYS 2326 Electromagnetism and Waves^{2, 5}

or PHYS 2422 Honors Physics II - Electromagnetism and Waves^{2, 5}

PHYS 2126 Physics Laboratory II

MATH 2306 Analytic Geometry

MATH 2370 Introduction to Programming with MATLAB

or CS 1325 Introduction to Programming⁹

or CS 1337 Computer Science I⁹

MATH 2417 Calculus I^{2, 3, 4}

MATH 2418 Linear Algebra⁹

MATH 2419 Calculus II^{2, 3, 4}

MATH 2420 Differential Equations with Applications⁹

Major Core Courses: 24 semester credit hours

MATH 3310 Theoretical Concepts of Calculus

MATH 3311 Abstract Algebra I

MATH 3380 Differential Geometry

MATH 3323 Elementary Number Theory

MATH 3379 Complex Variables

MATH 3351 Advanced Calculus

STAT 4351 Probability

STAT 4352 Mathematical Statistics

Major Related Courses: 9 semester credit hours

Nine semester credit hours of upper-division MATH, STAT or ACTS courses, at least six of which must be MATH courses at the 4000-level. These courses cannot include those for which the catalog entry states: May not be used to satisfy mathematics requirements by students in Mathematics.

III. Elective Requirements: 29-30 semester credit hours

Electives: 29-30 semester credit hours

All students are required to take NATS 1101 Natural Sciences and Mathematics Freshman Seminar.

Both lower- and upper-division courses may count as electives.

The plan must include sufficient upper-division courses to total 45 upper-division semester credit hours.

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

2. A required Major course that also fulfills Core Curriculum requirements. If semester credit hours are counted in the Core Curriculum, students must complete additional coursework to meet the minimum requirement for graduation. Course selection assistance is available from the undergraduate advisor.

3. Three semester credit hours of Calculus are counted to fulfill the Mathematics Core Requirement with the remaining one semester credit hour to be counted under Component Area Option Core.

4. MATH 2417 and MATH 2419 requirements can be fulfilled by completing MATH 2413, MATH 2414, and MATH 2415.

5. Six semester credit hours of Physics are counted under Science core, and one semester credit hour of Physics (PHYS 2125) is counted under Component Area Core.

6. Please consult your advisor if selecting Honors Physics.

7. Students may use three semester credit hours of PHYS 2421 to count under Science core, and one semester credit hour of PHYS 2421 under Component Area Option core.

8. Students who complete PHYS 2421 do not need to complete PHYS 2125.

9. Indicates a prerequisite class to be completed before enrolling in upper-division classes.

Bachelor of Science in Mathematics

Degree Requirements (120 semester credit hours)

View an Example of Degree Requirements by Semester

All majors with specialization in either Mathematics, Statistics, or Applied Mathematics are strongly urged to meet with the assigned undergraduate advisor from the Mathematical Sciences Department every semester.

Faculty

FACG> nsm-mathematics-bs

Professors: Swati Biswas @sxb125731, Min Chen @mxc136030, Pankaj Choudhary @pkc022000, Baris Coskunuzer @bxc190014, Mieczyslaw Dabkowski @mkd034000, Vladimir Dragovic @vxd123630, Sam Efromovich @sxe062000, Yulia Gel @yxg142030, Wieslaw Krawcewicz @wzk091000, Susan Minkoff @sem120030, L. Felipe Pereira @lfp140030, Dmitry Rachinskiy @dxr124030, Viswanath Ramakrishna @vish, Janos Turi @turi, John Zweck @jwz120030

Associate Professors: Maxim Arnold @mxa149530, Yan Cao @yxc069200, Liang Hong @lxh019000, Oleg Makarenkov @oxm130230, Tomoki Ohsawa @txo140730, Anh Tran @att140830

Assistant Professors: Carlos Arreche @cxa171230, Noirrit Chandra @nxc220031, Ronan Conlon @rxc200021, Rizwanur Khan @rxk230072, Qiwei Li @qxl190009, Stephen McKeown @sxm190098, Chuan-Fa Tang @cxt190011, Jiayi Wang @jxw220029, Nathan Williams @nxw170830, Nan Wu @nxw220012, Yunan Wu @yxw200032

Professors Emeriti: Larry Ammann @ammann, Ali Hooshyar @ali, Patrick Odell @pxo062000, John Van Ness @ness

Clinical Professor: Natalia Humphreys @nah103020

Clinical Associate Professor: Mohammad Akbar @mma110020

Clinical Assistant Professor: Wenyi Lu @wxl153330

Professors of Instruction: Anatoly Eydelzon @axe031000, Manjula Foley @mxf091000, Bentley Garrett @btg032000, Yuly Koshevnik @yxk055000

Associate Professors of Instruction: Mohammad Ahsan @mka120030, Kelly Aman @kxa143530, Malgorzata Dabkowski @mxd066000, Rabin Dahal @rxd153030, Derege Mussa @dxm146130, My Linh Nguyen @mln018200, Jigarkumar Patel @jsp061000, Julie Sutton @jxs158030

Assistant Professors of Instruction: Anani Komla Adabrah @aaa130530, Iris Alvarado @ila180000, Saikat Biswas @sxb230137, Hui Ding @hxd162130, Adannah Duruoha @axd180037, Kemelli Estacio-Hiroms @kxe160930, Huizhen Guo @hxg190020, Shengjie Jiang @sxj220069, Joselle Kehoe @jxk061000, Runzhou Liu @rxl210013, Neha Makhijani @nxm165130, Irina Martynova @ixm140930, Diarisoa Mihaja Rakotomalala @dmr150130, Adrian Murza @acm170730, Ajaya Paudel @abp062000, Octavious Smiley @oxs230011, Nasrin Sultana @nxs190039, Che-Yu Wu @cxw153530

I. Core Curriculum Requirements: 42 semester credit hours¹⁰

Communication: 6 semester credit hours

Select any 6 semester credit hours from Communication Core courses (see advisor)

Mathematics: 3 semester credit hours

MATH 2417 Calculus I^{11, 12}

Or select any 3 semester credit hours from Mathematics Core courses (see advisor)

Life and Physical Sciences: 6 semester credit hours^{11, 13}

Mathematics/Applied Mathematics Specialization

PHYS 2325 Mechanics

or PHYS 2421 Honors Physics I - Mechanics and Heat

PHYS 2326 Electromagnetism and Waves

or PHYS 2422 Honors Physics II - Electromagnetism and Waves

Statistics Specialization

PHYS 2325 Mechanics

or PHYS 2421 Honors Physics I - Mechanics and Heat

PHYS 2326 Electromagnetism and Waves

or PHYS 2422 Honors Physics II - Electromagnetism and Waves

Or

CHEM 1311 General Chemistry I

or CHEM 1315 Honors Freshman Chemistry I

CHEM 1312 General Chemistry II

or CHEM 1316 Honors Freshman Chemistry II

Or select any 6 semester credit hours from Life and Physical Sciences Core courses (see advisor)

Language, Philosophy and Culture: 3 semester credit hours

Select any 3 semester credit hours from Language, Philosophy and Culture Core courses (see advisor)

Creative Arts: 3 semester credit hours

Select any 3 semester credit hours from Creative Arts Core courses (see advisor)

American History: 6 semester credit hours

Select any 6 semester credit hours from American History Core courses (see advisor)

Government/Political Science: 6 semester credit hours

Select any 6 semester credit hours from Government/Political Science Core courses (see advisor)

Social and Behavioral Sciences: 3 semester credit hours

Select any 3 semester credit hours from Social and Behavioral Sciences Core courses(see advisor)

Component Area Option: 6 semester credit hours

MATH 2417 Calculus I^{11, 12}

MATH 2419 Calculus II^{11, 12}

PHYS 2125 Physics Laboratory I^{11, 13}

or CHEM 1111 General Chemistry Laboratory I^{11, 13}

or PHYS 2421 Honors Physics I - Mechanics and Heat^{14, 15}

Or select any 6 semester credit hours from Component Area Option Core courses (see advisor)

II. Major Requirements: 48-49 semester credit hours

Major Preparatory Courses: 12-13 semester credit hours beyond Core Curriculum

For Mathematics/Applied Mathematics Specialization

PHYS 2325 Mechanics^{11, 13}

and PHYS 2125 Physics Laboratory I^{11, 13}

or PHYS 2421 Honors Physics I - Mechanics and Heat^{11, 15, 16}

PHYS 2326 Electromagnetism and Waves^{11, 13}

or PHYS 2422 Honors Physics II - Electromagnetism and Waves^{11, 13}

PHYS 2126 Physics Laboratory II

For Statistics Specialization

PHYS 2325 Mechanics^{11, 13}

and PHYS 2125 Physics Laboratory I^{11, 13}

or PHYS 2421 Honors Physics I - Mechanics and Heat^{11, 15, 16}

PHYS 2326 Electromagnetism and Waves^{11, 13}

or PHYS 2422 Honors Physics II - Electromagnetism and Waves^{11, 13}

PHYS 2126 Physics Laboratory II

Or

CHEM 1111 General Chemistry Laboratory I^{11, 13}

or CHEM 1115 Honors Freshman Chemistry Laboratory I

CHEM 1112 General Chemistry Laboratory II

or CHEM 1116 Honors Freshman Chemistry Laboratory II

CHEM 1311 General Chemistry I^{11, 13}

or CHEM 1315 Honors Freshman Chemistry I^{11, 13}

CHEM 1312 General Chemistry II^{11, 13}

or CHEM 1316 Honors Freshman Chemistry II^{11, 13}

For All

MATH 2370 Introduction to Programming with MATLAB

or CS 1325 Introduction to Programming¹⁷

or CS 1337 Computer Science I¹⁷

MATH 2417 Calculus I^{11, 12, 18}

MATH 2418 Linear Algebra¹⁷

MATH 2419 Calculus II^{11, 12, 18}

MATH 2420 Differential Equations with Applications¹⁷

Major Core Courses: 24 semester credit hours

MATH 3310 Theoretical Concepts of Calculus

MATH 3311 Abstract Algebra I

MATH 3379 Complex Variables

MATH 3351 Advanced Calculus

MATH 4301 Mathematical Analysis I

MATH 4302 Mathematical Analysis II

MATH 4334 Numerical Analysis

STAT 4351 Probability

Major Related Courses: 12 semester credit hours

Applied Mathematics Specialization

MATH 4341 Topology

MATH 4355 Methods of Applied Mathematics

MATH 4362 Partial Differential Equations

STAT 4382 Stochastic Processes

Mathematics Specialization

MATH 3312 Abstract Algebra II

MATH 3380 Differential Geometry

MATH 4341 Topology

3 semester credit hours upper-division guided elective¹⁹

Statistics Specialization

STAT 3355 Introduction to Data Analysis

STAT 4352 Mathematical Statistics

STAT 4382 Stochastic Processes

3 semester credit hours upper-division guided elective¹⁹

III. Elective Requirements: 29-30 semester credit hours

Electives: 29-30 semester credit hours

Both lower- and upper-division courses may count as electives

The plan must include sufficient upper-division courses to total 45 upper-division semester credit hours.

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

11. A required Major course that also fulfills Core Curriculum requirements. If semester credit hours are counted in the Core Curriculum, students must complete additional coursework to meet the minimum requirement for graduation. Course selection assistance is available from the undergraduate advisor.

12. Three semester credit hours of Calculus are counted to fulfill the Mathematics Core Requirement with the remaining one semester credit hour to be counted under Component Area Option Core.

13. Six semester credit hours of Physics or Chemistry are counted under Science core, and one semester credit hour of Physics or Chemistry (PHYS 2125 or CHEM 1111) is counted under Component Area Core.

14. Please consult your advisor if selecting Honors Physics.

15. Students may use three semester credit hours of PHYS 2421 to count under Science core, and one semester credit hour of PHYS 2421 under Component Area Option core.

16. Students who complete PHYS 2421 do not need to complete PHYS 2125.

17. Indicates a prerequisite class to be completed before enrolling in upper-division classes.

18. MATH 2417 and MATH 2419 requirements can be fulfilled by completing MATH 2413, MATH 2414, and MATH 2415.

19. Approval of Mathematics department advisor required.

NOTE> Please be advised, the UTeach section below feeds in from a separate page updated by the UTeach team. Any changes made to the UTeach section below will not be retained.

UTeach Option

The UTeach option may be added to either the BA or BS degree. UTeach Dallas Option degree plans are streamlined to allow students to complete both a rigorous Bachelor of Science or Bachelor of Arts degree and all coursework for middle or high school teacher certification in four years. Teaching Option degrees require deep content knowledge combined with courses grounded in the latest research on math and science education. While most graduates go on to classroom teaching, UTeach alums are also prepared to enter graduate school and to work in a discipline related industry.

Fast Track Baccalaureate/Master's Degrees

For students with strong academic record who intend to pursue master's studies at UT Dallas, accelerated BS/MS Fast Tracks are available. After Fast Track admission to an MS program, students may take up to 15 semester credit hours of approved graduate courses in their senior year to use toward completion of both the BS and MS degrees. The available Fast Track options and their admission requirements, if any, in addition to having completed 90 or more semester credit hours (out of which 36 hours are from the core curriculum) with a cumulative GPA of at least 3.00, are as follows:

• MS in Mathematics: Students must have a cumulative GPA of at least 3.20 in all mathematics and statistics courses.
• MS in Statistics: Students must have a cumulative GPA of at least 3.20 in all mathematics and statistics courses.

Interested students, after reviewing the UT Dallas Fast Track policy, should contact their undergraduate advisor and the graduate advisor of the intended MS program well in advance of their junior year to prepare a course sequence permitting maximal advantage and apply to the Fast Track program.

Minors

Students must take a minimum of 18 semester credit hours for the minor, 12 of which must be upper-division semester credit hours. Students who take a minor will be expected to meet the normal prerequisites in courses making up the minor, and should maintain a minimum GPA of 2.000 on a 4.00 scale (C average). Semester credit hours may not be used to satisfy both the major and minor requirements; however, free elective semester credit hours or major preparatory classes may be used to satisfy the minor.

For all minors in the School of Natural Sciences and Mathematics students must complete all prerequisite sequences for required minor courses.

Minor in Mathematics

18 semester credit hours

The minor in Mathematics requires 18 semester credit hours math or statistics course requirements. Of these 18, 12 semester credit hours will be selected from a specific set of courses.

12 semester credit hours of courses must be chosen from the following:

MATH 3310 Theoretical Concepts of Calculus

MATH 4334 Numerical Analysis

And select two more upper-division mathematics courses that satisfy degree requirements by students in Mathematical Sciences.

The remaining 6 semester credit hours can be satisfied by choosing either MATH or STAT courses with advisor approval.

Minor in Statistics

18 semester credit hours

The minor in Statistics requires 18 semester credit hours math or statistics course requirements. Of these 18, 12 semester credit hours will be selected from a specific set of courses.

12 semester credit hours of courses must be chosen from the following:

STAT 4351 Probability

STAT 4352 Mathematical Statistics

And select two more upper-division mathematics courses that satisfy degree requirements by students in Mathematical Sciences.

The remaining 6 semester credit hours can be satisfied by choosing either MATH or STAT courses with advisor approval.