Major in Math - Pure Mathematics Concentration

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

Pure Mathematics Concentration Requirements

In addition to the 20 units of common requirements for all Mathematics majors, the Pure Mathematics concentration requires 46 units for a total of 66 units. All courses must be completed with a grade equivalent of 2.00 or higher. MATH 490 and minimum six additional upper-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 463LINEAR ALGEBRA3
MATH 467ALGEBRAIC STRUCTURES3
MATH 472REAL ANALYSIS II3
MATH 475COMPLEX ANALYSIS3
MATH 490SENIOR SEMINAR IN MATHEMATICS 23
Electives
Select five upper-level Mathematics (MATH) courses 15
Select at least two of the following:
APPLIED COMBINATORICS
MATHEMATICAL STATISTICS
EUCLIDEAN AND NON-EUCLIDEAN GEOMETRIES
DIFFERENTIAL EQUATIONS
MATHEMATICAL MODELS
COMPUTATIONAL PROBABILITY MODELS
FOURIER ANALYSIS WITH APPLICATIONS
Select at least two of the following:
GRAPH THEORY
DIFFERENTIAL GEOMETRY
NUMBER THEORY
TOPOLOGY
Total Units46
1

COSC 175 is a prerequisite for COSC 236

2

MATH 490 must be taken at Towson University. 

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

Sample Four-Year Plan

The selected course sequence below is an example of the simplest path to degree completion. Based on course schedules, student needs, and student choice, individual plans may vary. Students should consult with their adviser to make the most appropriate elective choices and to ensure that they have completed the required number of units (120) to graduate.

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
Elective3 
 16 15
Sophomore
Term 1UnitsTerm 2Units
MATH 2674MATH 3314
MATH 2754MATH Elective
Core 63Core 8 (Recommended: PHYS 242)4
Core 7 (Recommended: PHYS 241)4Core 93
 Core 103
 15 14
Junior
Term 1UnitsTerm 2Units
MATH 3694MATH 3724
MATH Elective3MATH 4633
Core 133MATH Elective3
Core 143MATH Elective3
Elective3Core 113
 16 16
Senior
Term 1UnitsTerm 2Units
MATH 4673MATH 4753
MATH 4723MATH 4903
Core 123MATH Elective3
Elective3Elective3
Elective3Elective 1
 15 13
Total Units 120
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.