Major in Mathematics

The mathematics major allows students to choose from a broad range of offerings from the math department.  After completing the required courses, students select three groups for further study and must complete 2 courses from each selected group, as well as two additional electives.  

Students may also wish to consider one of the four concentrations offered by the department.

Mathematics Major Requirements

All Mathematics majors must take the following required courses.  

Required Courses
MATH 265ELEMENTARY LINEAR ALGEBRA4
MATH 267INTRODUCTION TO ABSTRACT MATHEMATICS4
MATH 273CALCULUS I4
MATH 274CALCULUS II4
MATH 275CALCULUS III4
Total Units20

In addition to the 20 units of common requirements for all Mathematics majors, students who do not choose one of the four available concentrations are required to complete 43-48 additional units for a total of 63-68 units. All courses must be completed with a grade equivalent of 2.00 or higher. MATH 490 or MATH 499, and minimum six additional upper (300-400) level courses in the major must be taken at Towson University. 

Required Courses
COSC 236INTRODUCTION TO COMPUTER SCIENCE I 14
MATH 331PROBABILITY4
MATH 369INTRODUCTION TO ABSTRACT ALGEBRA4
MATH 372REAL ANALYSIS I4
MATH 490SENIOR SEMINAR IN MATHEMATICS 23
or MATH 499 HONORS THESIS IN MATHEMATICS
Group Requirements
Select minimum three groups from the nine listed below (Algebra, Analysis, Applications, Discrete Math, Education Finance, Geometry/Topology, Numerics, and Statistics) and complete minimum two courses from each group. Algebra or Analysis must be chosen as one of the groups. 18-21
Electives
Select any two additional courses from the nine groups listed below. Maximum one elective course may be from the list of Application Electives in the Applications Group. 6-8
Total Units43-48
1

COSC 175 is a prerequisite for COSC 236.

2

MATH 499 is open to students completing the departmental honors program. MATH 490 or MATH 499 must be taken at Towson University. 

Groups

Algebra
MATH 463LINEAR ALGEBRA3
MATH 465NUMBER THEORY3
MATH 467ALGEBRAIC STRUCTURES3
Analysis
MATH 379FOURIER ANALYSIS WITH APPLICATIONS3
MATH 472REAL ANALYSIS II3
MATH 475COMPLEX ANALYSIS3
Applications
MATH 374DIFFERENTIAL EQUATIONS3
MATH 377MATHEMATICAL MODELS3
Application Electives (maximum one course may be applied to major)3-4
GENETICS
PRINCIPLES OF PHYSICAL CHEMISTRY
DATA STRUCTURES AND ALGORITHM ANALYSIS
INTRODUCTORY MATHEMATICAL PHYSICS
MODERN PHYSICS I
MECHANICS
ELECTRICITY & MAGNETISM
SIMULATION AND GAMES IN POLITICAL SCIENCE
RESEARCH METHODS IN PSYCHOLOGY
Discrete Math
MATH 314INTRODUCTION TO CRYPTOGRAPHY3
MATH 315APPLIED COMBINATORICS4
MATH 451GRAPH THEORY3
Education (courses have additional prerequisites and/or may require departmental permission to enroll)
MATH 310FUNCTIONS AND MODELING FOR SECONDARY SCHOOL TEACHERS3
MATH 420APPLICATIONS OF TECHNOLOGY FOR SECONDARY SCHOOL TEACHERS3
MATH 423TEACHING MATHEMATICS IN THE SECONDARY SCHOOLS3
Finance
MATH 312THEORY OF INTEREST4
MATH 485MATHEMATICAL FINANCE3
MATH 486RISK MANAGEMENT AND FINANCIAL ENGINEERING3
Geometry/Topology
MATH 353EUCLIDEAN AND NON-EUCLIDEAN GEOMETRIES3
MATH 457DIFFERENTIAL GEOMETRY3
MATH 477TOPOLOGY3
Numerics
MATH 435NUMERICAL ANALYSIS I3
MATH 437OPERATIONS RESEARCH3
MATH 439COMPUTATIONAL PROBABILITY MODELS3
Statistics
MATH 332MATHEMATICAL STATISTICS3
MATH 337APPLIED REGRESSION AND TIME SERIES PREDICTIVE MODELING4
MATH 438LONG-TERM ACTUARIAL MODELS I4

Departmental Honors Program

The Department of Mathematics offers a departmental honors program for students who demonstrate exemplary abilities in mathematics. The program provides students with an opportunity to work closely with faculty mentors in an individual program of research, directed readings and independent study.

Graduation with departmental honors requires a minimum overall cumulative GPA of 3.33, and successful completion of a two-course research sequence and an honors thesis in mathematics (MATH 499). Departmental honors will be posted to the transcript shortly after the bachelor’s degree is conferred. 

Required Coursework for Departmental Honors in Mathematics
Research Sequence, Select one of the following:6
READINGS IN MATHEMATICS
and RESEARCH IN MATHEMATICS
READINGS IN MATH EDUCATION
and INDEPENDENT STUDY: RESEARCH IN MATHEMATICS EDUCATION
APPLIED MATHEMATICS LABORATORY I
and APPLIED MATHEMATICS LABORATORY II
Thesis Requirement
MATH 499HONORS THESIS IN MATHEMATICS1
Total Units7

Suggested Four-Year Plan

Based on course availability and student needs and preferences, the selected sequences will probably vary from those presented below. Students should consult with their adviser to make the most appropriate elective choices.

Freshman
Term 1UnitsTerm 2Units
MATH 273 (Core 3)4COSC 23614
Core 1 (or Core 2)3MATH 2654
Core 43MATH 2744
Core 53Core 2 (or Core 1)3
 13 15
Sophomore
Term 1UnitsTerm 2Units
MATH 2674MATH 3314
MATH 2754Math Elective3-4
Core 63Core 83-4
Core 73-4Core 93
 Core 103
 14-15 16-18
Junior
Term 1UnitsTerm 2Units
MATH 3694MATH 3724
MATH First Group (Algebra or Analysis) Course3MATH First Group (Algebra or Analysis) Course3
MATH Second Group Course3-4MATH Third Group Course3-4
Core 113Elective3
Core 123Core 133
 16-17 16-17
Senior
Term 1UnitsTerm 2Units
MATH Second Group Course3-4MATH 490 or 4993
MATH Third Group Course3-4MATH Elective3
Elective3Elective3
Elective3Elective3
Core 143Elective3
 15-17 15
Total Units 120-127
1

COSC 175 is a prerequisite for COSC 236.

  1. Demonstrate knowledge of the properties of numbers and sets.
  2. Demonstrate skills and knowledge of appropriate technology used in solving mathematical problems.
  3. Demonstrate skills and knowledge of the basic concepts of calculus.
  4. Demonstrate skills and knowledge of linear and abstract algebra.
  5. Demonstrate skills and knowledge of basic probability and/or statistics.