Mathematics (B.A.)

The courses offered by the Department of Mathematics serve several purposes; they supply the mathematical preparation necessary for students specializing in the physical, life or social sciences, in business administration, in engineering, and in education; they provide a route by which students may achieve a level of competence to do research in any of several special mathematical areas; they allow students to prepare themselves for work as mathematicians and statisticians in industry and government; and they give an opportunity to all inquisitive students to learn something about modern mathematical ideas.

Admission Requirements

Admission requirements for this program are satisfied by the general requirements for undergraduate admission to the University. Undergraduates declaring a mathematics major are strongly encouraged to meet with a departmental advisor before doing so. After a student's acceptance as a major, a student should consult a Departmental advisor at least once a year to verify progress.

 

Candidates must complete 120 credits in course work including satisfaction of the University General Education Requirements and the College of Liberal Arts and Sciences Group Requirements, as well as the departmental major  requirements cited below. All course work must be completed in accordance with the regulations of the University and the College governing undergraduate scholarship and degrees. The cumulative grade point average in mathematics (MAT) courses required for completion of a major option must be at least 2.0.

Major Requirements

In addition to the general bachelor's degree requirements, the candidate must complete one of the following concentrations: A, B, C, D, or E, as described below.

Option A: Prospective Graduate Study

This option is recommended for students who plan to pursue graduate study in mathematics.

MAT 2010Calculus I4
MAT 2020Calculus II4
MAT 2030Calculus III4
MAT 2150Differential Equations and Matrix Algebra4
or MAT 2350 Elementary Differential Equations
MAT 2250Elementary Linear Algebra3
MAT 5070Elementary Analysis4
MAT 5420
MAT 5993
Algebra I
and (WI) Writing Intensive Course in Mathematics
4
MAT 5430Algebra II3-4
or MAT 5610 Introduction to Analysis II
MAT 5600Introduction to Analysis I4
MAT 5700Introduction to Probability Theory4
Select one of the following:3-4
Complex Variables and Applications
Algebra II
Introduction to Topology
Elementary Differential Geometry and its Applications
Introduction to Analysis II
Introduction to Mathematical Statistics
Select one course from one of the following groups:1-4
Group A
Any Mathematics course numbered 5030 or above 1
Group B
Select one CSC of the following (depending on topic):
Theory of Languages and Automata
Matrix Computation I
Topics in Computer Science (depending on the topic)
Total Credits42-47
1

Excluding MAT 5120, MAT 5130, MAT 5180, MAT 5190, MAT 5992MAT 6130, MAT 6150, MAT 6170, MAT 6180MAT 6200, or MAT 6210. Only one (at most) of the courses may be selected from MAT 5890 or MAT 5990. These electives are subject to advisor approval on the Student's Plan of Work.

Option B: General Mathematics

This option is for students interested in a broad range of topics.

MAT 2010Calculus I4
MAT 2020Calculus II4
MAT 2030Calculus III4
MAT 2150Differential Equations and Matrix Algebra4
or MAT 2350 Elementary Differential Equations
MAT 2250Elementary Linear Algebra3
MAT 5070Elementary Analysis4
MAT 5420
MAT 5993
Algebra I
and (WI) Writing Intensive Course in Mathematics
4
MAT 5700Introduction to Probability Theory4
Select one of the following:9-12
Three additional Mathematics courses numbered 5030 or above OR 1
Two such courses, plus one of the following: (depending on topic)
Theory of Languages and Automata
Design and Analysis of Algorithms
Matrix Computation I
Topics in Computer Science (depending on the topic)
Total Credits40-43
1

Excluding MAT 5120, MAT 5130, MAT 5180, MAT 5190, MAT 5992MAT 6130, MAT 6150, MAT 6170, MAT 6180MAT 6200, or MAT 6210. Only one (at most) of the courses may be selected from MAT 5890 or MAT 5990. These electives are subject to advisor approval on the Student's Plan of Work. 

Option C: Secondary Teaching

This option is recommended for students in the Combined Curriculum for Secondary Teaching.

MAT 2010Calculus I4
MAT 2020Calculus II4
MAT 2030Calculus III4
MAT 2210/6150Probability and Statistics4
MAT 2250Elementary Linear Algebra3
MAT 2860/6130Discrete Mathematics3
MAT 5000Fundamental Concepts of Mathematics and Proof Writing3
MAT 5070Elementary Analysis4
MAT 6140Geometry: An Axiomatic Approach3
MAT/MAE 6200Teaching Arithmetic, Algebra and Functions from an Advanced Perspective3
Select one of the following options:4
Algebra: Ring Theory Through Exploration, Conjecture, and Proof (OR)
Algebra I
and (WI) Writing Intensive Course in Mathematics
Select one of the following:3-4
Elementary Theory of Numbers
Introduction to Topology
Introduction to Analysis I
Algebra: Group Theory Through Exploration, Conjecture, and Proof
Total Credits42-43

Option D: Computer Science

Mathematics and computer science are so closely related that a great many students who major in mathematics pursue careers or graduate study in computer science. A mathematics degree, being more than just welcome in the field, is highly regarded. For students who would like to complete a double major in mathematics and computer science or a major in mathematics with a minor in computer science, the Department offers a specially designed program. Under this option, students can take certain courses that satisfy both mathematics and computer science requirements simultaneously. Specifically, MAT 5100 can be used as a computer science elective and one of CSC 5860CSC 5870CSC 6500CSC 6620, or CSC 6991 (depending on the topic) can be used as a mathematics elective.

This option is available only to students who complete a second major or a minor in computer science. Students should consult the Computer Science Department for their major and minor requirements.

MAT 2010Calculus I4
MAT 2020Calculus II4
MAT 2030Calculus III4
MAT 2210/6150Probability and Statistics4
MAT 2250Elementary Linear Algebra3
MAT 2860/6130Discrete Mathematics3
MAT 5070Elementary Analysis4
MAT 5100Numerical Methods I3
MAT 5420
MAT 5993
Algebra I
and (WI) Writing Intensive Course in Mathematics
4
Select one of the following:9-12
Two additional Mathematics courses numbered above 5030 1
One such course from the above, plus one of the following (depending on topic):
Introduction to Pattern Recognition and Document Analysis
Computer Graphics I
Theory of Languages and Automata
Matrix Computation I
Topics in Computer Science (depending on the topic)
Total Credits42-45
1

Excluding MAT 5120, MAT 5130, MAT 5180, MAT 5190, MAT 5992MAT 6130, MAT 6150, MAT 6170, MAT 6180MAT 6200, or MAT 6210. Only one (at most) of the courses may be selected from MAT 5890 or MAT 5990. These electives are subject to advisor approval on the Student's Plan of Work.

Option E: Actuarial Science

Students embarking on a career as an actuary will be expected to pass certain exams administered by that profession. Option E provides the course work covered by the first few of these exams: Calculus, Linear Algebra, Probability and Statistics, Numerical Analysis, and Operations Research. 

MAT 2010Calculus I4
MAT 2020Calculus II4
MAT 2030Calculus III4
MAT 2250Elementary Linear Algebra3
MAT 5070Elementary Analysis4
MAT 5100Numerical Methods I3
MAT 5420
MAT 5993
Algebra I
and (WI) Writing Intensive Course in Mathematics
4
MAT 5700Introduction to Probability Theory4
MAT 5770Mathematical Models in Operations Research3
MAT 5800Introduction to Mathematical Statistics4
Select one of the following:
Differential Equations and Matrix Algebra
Elementary Differential Equations
One additional Mathematics course numbered above 5030 1
Total Credits37
1

Excluding MAT 5120MAT 5130MAT 5180MAT 5190MAT 5992MAT 6130MAT 6150MAT 6170MAT 6180MAT 6200, or MAT 6210. Only one (at most) of the courses may be selected from MAT 5890 or MAT 5990. These electives are subject to advisor approval on the Student's Plan of Work.

Combined Curriculum for Secondary Teaching (CCST)

Under the Combined Curriculum, it is possible to earn a bachelor’s degree in mathematics concurrent with a secondary teaching certificate. Students in CCST may satisfy the mathematics part of their degree requirements by any of the degree options specified below, though Option C is specifically designed and recommended for future teachers. It is recommended but not required that CCST students who do not choose Option C take MAT 2860MAT 5000, and MAT 6140.

Emerging Scholars Program

The Emerging Scholars Program is a special honors program at the levels of MAT 1800, MAT 2010, and MAT 2020, that features collaborative learning through a challenging problem-solving workshop attached t  the regular class. Each ESP calculus course (MAT 2010 and MAT 2020) carries four honors credits, though MAT 1800 does not offer honors credits. The program seeks dedicated, hard-working students who want to excel in mathematics. Students who place into the level below MAT 1800 are encouraged to enroll in MAT 1050 PREP as preparation for the Program. Contact the Department for further information.

‘AGRADE’ Program (Accelerated Graduate Enrollment)

The Department of Mathematics participates in the College ‘AGRADE’ (Accelerated Graduate Enrollment) Program, in which qualified students can earn a master’s degree and bachelor’s degree. For more details about the ‘AGRADE’ Program, contact one of the graduate mathematics advisors, or the Graduate Office of the College (313-577-2960).