Undergraduate Catalog 2015-2016


Mathematics (MTH) with a concentration in Pure Mathematics (PMM)

Bachelor of Arts (B.A.)

8 Semester Plan

120 Credit Hours

CIP Code: 27.0101 (Track 1 of 4)

College of Arts & Sciences

Major Description

The mathematics program offers a diversity of courses designed not only to enable the student to pursue a profession in mathematics itself, but also to enhance the student's competence in the fields of engineering, the physical sciences, the life sciences, and the social sciences. The program emphasizes the broad nature of modern mathematics and its close associations with the real world and prepares students for careers in industry or secondary education as well as entry into graduate school. 

Concentration Description

This concentration is designed for majors whose interests lie in mathematical theory. Majors who complete this concentration will be well prepared to continue mathematical studies in graduate school and/or to explore mathematical theory in government and industry.

State Mandated Common Course Prerequisites

Students wishing to transfer to USF from a Florida College System institution should complete the A.A. degree at the community college. Some courses required for the major may also meet General Education Requirements thereby transferring maximum hours to the university.

A student who transfers without an A.A. degree and has fewer than 60 semester hours of acceptable credit must meet the university's entering freshman requirements including ACT or SAT test scores, GPA, and course requirements. The transfer student should also be aware of the immunization, foreign language, and continuous enrollment policies of the university.

Students should complete the following prerequisite courses listed below at the lower level prior to entering the university. If these courses are not taken at the community college, they must be completed before the degree is granted. Unless stated otherwise, a grade of "C" is the minimum acceptable grade.

  • COP XXXX A Scientific Programming Course designed for Computer Science Majors
  • MAC X311 Calculus I
  • MAC X312 Calculus II - Calculus with Analytic Geometry II
  • MAC X313 Calculus III - Calculus with Analytic Geometry III
  • MAP X302 Differential Equations

Total Major Hours: 45 Hours

Major Core

Minimum 45 credit hours; 30 credit hours in major coursework and 15 credit hours in concentration coursework. Upon completing the three requirements below (30 credit hours), students are required to complete one of the following three concentrations: Applied/Computational Mathematics, Pure Mathematics, or General Mathematics.

Major Core Courses - 30 Hours

  • Core Requirement. Majors must complete the following seven courses (24 credit hours):
  • Algebra Requirement: Majors must complete the following course (3 credit hours):
  • Symbolic Computations Requirement. Majors must complete the following course (3 credit hours):
    • COP 4313 Symbolic Computations in Mathematics

Concentration Core

Students in this concentration will need to complete Analysis requirement and complete one course in the following areas: Algebra and Discrete Mathematics, Advanced Analysis, Geometry and Topology. Additionally students must choose one elective course.

Concentration Core Courses - 12 Hours

Analysis Requirement - Majors in this concentration must complete the following course:

Majors in this concentration must also complete one (1) course (three credit hours) in each of the following areas:

Algebra and Discrete Mathematics Requirement - Choose one course.

  • MAD 4203 Introduction to Combinatorics
  • MAD 4301 Introduction to Graph Theory
  • MAD 4504 Theory of Computation
  • MAD 4471 Introduction to Cryptography and Coding Theory
  • MAS 4302 Elementary Abstract Algebra II

Advanced Analysis Requirement - Choose one course.

Geometry and Topology Requirement - Choose one course.

Concentration Elective Courses - 3 Hours

Majors must complete at least one (1) course (three credit hours) from the following electives. This course may NOT be used to fulfill any of the above requirements.

  • MAA 4212 Intermediate Analysis II
  • MAA 4402 Complex Variables
  • MAD 4203 Introduction to Combinatorics
  • MAD 4301 Introduction to Graph Theory 
  • MAD 4504 Theory of Computation
  • MAD 4471 Introduction to Cryptography and Coding Theory
  • MAP 4341 Introduction to Partial Differential Equations
  • MAS 4302 Elementary Abstract Algebra II
  • MTG 4214 Modern Geometry
  • MTG 4254 Differential Geometry
  • MTG 4302 Introduction to Topology  
  • MAT 4930 Selected Topics in Mathematics may be taken as an elective with the prior approval of the department chair.

One course from another department which are of high mathematical content may also be taken as an elective, with the prior approval of the department chair.

Research Opportunities

All undergraduate students in any degree program can participate in undergraduate research. There are a number of options to receive academic credit for a mentored research experience and to have the experience show on the official transcript. Students who wish to enroll in an undergraduate research course should consult with their academic advisor to understand how the credit will apply towards the degree requirements. If no credit is needed, students may be eligible to enroll in the 0-credit IDS 2912 or IDS 4914 courses. These courses will not impact degree credits or GPA but will show on an official transcript and document the experience. The Office for Undergraduate Research will assist students in understanding the various course options.

Optional Accelerated Program

B.A./M.A. Mathematics

This program is designed for superior students having a solid background in high school mathematics and the ability to handle a fast paced, challenging program leading to a B.A. and M.A. degree in Mathematics in four to five years.

The program meets all the requirements for the BA degree but requires the student to take the graduate-level courses required for the M.A. degree during the last two years in the program. Up to 20 hours of graduate courses may be counted towards the M.A. degree as well as the B.A. degree but not towards the undergraduate major (that is, as free electives).

For admission to the program, a student must:

  1. have completed at least 30 hours of college credit including 8 hours of 3000-level or above Mathematics courses;
  2. have at least a 3.0 GPA for all college courses; and
  3. have at least a 3.5 GPA for all Mathematics courses taken at the 3000-level or above.

To apply for admission, send a letter to the Chair of the Department of Mathematics stating your qualifications and desire to enter the program. An important benefit of this program is that a student is eligible to apply for a graduate teaching assistantship once he or she has completed the undergraduate Mathematics major courses.

  More About this Major

  Accelerated Program

This major has an accelerated track that confers an undergraduate and graduate degree upon completion.


  Honors Program

This major has an optional component designed for the academically superior student who embraces challenge and wishes to go the extra mile.

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  Research Opportunities

There are research opportunities associated with this major.


  Additional Requirements

There are additional requirements for this major such as grade, GPA, foreign language, and/or general education requirements.

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  Additional Information

There is more information available for this major such as faculty, advising, and/or accreditation information.

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