Mathematics B.S.

Objectives

The mathematics program offers the student an opportunity to gain an appreciation of the artistic nature of mathematics, to solve problems analytically, to acquire a firm foundation for advanced study, to acquire training for teaching, and an opportunity to acquire knowledge useful to a person entering scientific or business fields for which mathematics is necessary for efficient performance. The mathematics curriculum is designed to accomplish the above objectives through exposure to specific mathematical content, development of logical reasoning, and encouragement of the creative process and independent research. The degree program is flexible so that an individual can best prepare for his or her specific career. Students are encouraged to choose supporting work and electives which apply and reinforce their mathematical skills.

High School Preparation

Students desiring to major in mathematics should have completed four years of mathematics in high school, including pre-calculus and at least three years of science in high school. Students who have not completed this preparation may have additional prerequisite courses as part of their curriculum. Contact the chair of the Department of Mathematics for information and advisement.

Degree Requirements

Total Semester Credit Hours=120

University Core Curriculum (42 hrs.)

Grade of “C” or better in all mathematics courses completed.

A total of 51 semester hours of mathematics completed, nine semester hours of mathematics at this university.

Each student seeking a baccalaureate degree with a major in mathematics must complete the following specific requirements (39 hours)

MATH 2413Calculus I [TCCN: MATH 2413]

MATH 2414Calculus II [TCCN: MATH 2414]

MATH 3404Multivariate Calculus

MATH 3305Ordinary Differential Equations

MATH 3315Linear Algebra and Matrix Theory

MATH 3425Foundations of Mathematics

MATH 3336Abstract Algebra I

MATH 3345Real Analysis I

MATH 3373Advanced Ordinary Differential Equations

or

MATH 4373Partial Differential Equations

MATH 3380Algorithms in Applied Mathematics

MATH 4160Senior Seminar I

MATH 4161Senior Seminar II

MATH 4350Theory of Probability

One course chosen from the following (3 hours)

MATH 4336Abstract Algebra II

MATH 4341Real Analysis II

MATH 4351Applied Statistics

MATH 3373Advanced Ordinary Differential Equations

or

MATH 4373Partial Differential Equations

Three courses chosen from the following (9 hours)

MATH 4301Number Theory

MATH 4306Topology

MATH 4321Combinatorics/Graph Theory

MATH 4336Abstract Algebra II

MATH 4341Real Analysis II

MATH 4342Introduction to Complex Variables

MATH 4351Applied Statistics

MATH 3373Advanced Ordinary Differential Equations

or

MATH 4373Partial Differential Equations

MATH 4380Modeling and Numerical Analysis

MATH 3365Geometric Systems

Students seeking teacher certification (8-12) must complete:

MATH 3365Geometric Systems

*Note that a single course cannot be counted in more than one category above.

Additional hours of approved electives in a related discipline or disciplines to reach the 120 hour minimum: at least nine semester hours must be at the upper division and at least six semester hours must be completed at UT Tyler.

Recommended Four-Year Curriculum

Freshman Year

First Semester (16 hrs.)

Communication (Core, 3 hrs.)

MATH 2413Calculus I [TCCN: MATH 2413]

PHIL 2303Introduction to Logic [TCCN: PHIL 2303]

Social and Behavioral Science (Core, 3 hrs.)

Human Expression (Core, 3 hrs.)

 

Second Semester (16 hrs.)

Communication (Core, 3 hrs.)

MATH 2414Calculus II [TCCN: MATH 2414]

Creative Arts (Core, 3 hrs.)

MATH 3380Algorithms in Applied Mathematics

STEM (Core, 3 hrs.)

Sophomore Year

First Semester (14 hrs.)

MATH 3404Multivariate Calculus

MATH 3425Foundations of Mathematics

MATH 3315Linear Algebra and Matrix Theory

HIST 1301United States History I [TCCN: HIST 1301]

Second Semester (15 hrs.)

MATH 3336Abstract Algebra I

MATH 3305Ordinary Differential Equations

HIST 1302United States History II [TCCN: HIST 1302]

Minor or Elective Courses - 6 hours

 

Junior Year

First Semester (16 hrs.)

MATH 3345Real Analysis I

MATH 4350Theory of Probability

POLS 2305Introductory American Government [TCCN: GOVT 2305]

PHYS 2325University Physics I [TCCN: PHYS 2325]

PHYS 2125University Physics I Laboratory [TCCN: PHYS 2125]

Minor or Elective Course - 3 hours

 

Second Semester (16 hrs.)

MATH 3373Advanced Ordinary Differential Equations

Upper Level Math Elective - 3 hours

POLS 2306Introductory Texas Politics [TCCN: GOVT 2306]

PHYS 2326University Physics II [TCCN: PHYS 2326]

PHYS 2126University Physics II Laboratory [TCCN: PHYS 2126]

Minor or Elective Course - 3 hours

 

Senior Year

First Semester (13 hrs.)

MATH 4160Senior Seminar I

Upper Level Math Elective - 3 hours

Upper Level Math Elective - 3 hours

Minor or Elective Courses - 6 hours

Second Semester (14 hrs.)

MATH 4161Senior Seminar II

Upper Level Math Elective - 3 hours

Minor of Elective Courses - 10 hours