# Undergraduate Catalog 2015-2016

## Majors

## 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.

#### College Level Requirements

You must click here to view the general college level requirements for this major.

#### 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
- BSC XXXX / XXXXL
- CHM XXXX / XXXXL
- PHY XXXX / XXXXL
- GLY XXXX / XXXXL

#### 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):- MAS 4301 Elementary Abstract Algebra

**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:

- MAA 4211 Intermediate Analysis I

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.**

- MAA 4212 Intermediate Analysis II
- MAA 4402 Complex Variables
- MAP 4341 Introduction to Partial Differential Equations

**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.

#### Additional Major Requirements

#### Major Requirements

**Mathematics-Related Courses (Minimum 6 credit hours):**

Students must take two courses in Science or Engineering which are required courses for the majors within those departments. The two courses need not be in the same department. Science courses must include laboratories and be offered by the departments of Cell Biology, Microbiology and Molecular Biology; Chemistry; Geology; Integrative Biology or Physics.

#### Major GPA Requirement

**Minimum Grade Requirements**

In general, grades of C- or better are required for courses in the mathematics major and minor and in the statistics major. However, C- is not an acceptable grade for any course that is being used as a prerequisite for a follow-on course. For these courses a grade of C (2.00 grade points) or better is required. Students whose prerequisites are more than three years old will be expected to take a placement test prior to taking a follow-on course.

#### Major Grade Requirement

**Minimum Grade Requirements**

In general, grades of C- or better are required for courses in the mathematics major and minor and in the statistics major. However, C- is not an acceptable grade for any course that is being used as a prerequisite for a follow-on course. For these courses a grade of C (2.0 grade points) or better is required. Students whose prerequisites are more than three years old will be expected to take a placement test prior to taking a follow-on course.

#### Major Residency Requirement

Majors are required to take a minimum of 12 credit hours of required courses in the department of Mathematics and Statistics at USF.

#### Major Other Requirements

Those interested in pursuing advanced degrees in Mathematics may also be interested in the Honors Program and/or the Accelerated BA/MA Program, both detailed below.#### 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 Honors Program

**HONORS PROGRAM IN MATHEMATICS**

The program is designed for students who wish to obtain a B.A. degree that will indicate unusual strength in the field of mathematics. Successful completion of the program will be prominently displayed on the student's diploma and will be recorded on the official USF transcript of the student's work.

Students are eligible for admission to the program when they:

- have completed MAS 4301 Elementary Abstract Algebra;
- have at least a 3.0 GPA for all college courses; and
- have at least a 3.5 GPA for all Mathematics courses.

Applications are submitted to the Undergraduate Committee in the Department of Mathematics. The requirements for a B.A. degree in mathematics with Honors are as follows:

- completion of the requirements of the major in Mathematics;
- completion of MAA 4211 Intermediate Analysis I;
- completion of MAT 4970 Mathematics Senior Thesis;
- completion of eight Mathematics courses at or above the 4000-level;
- at least a 3.0 average for all college courses; and
- at least a 3.5 average for all Mathematics courses.

#### Additional Major Information

#### Major Advising

Please visit the following website: http://math.usf.edu/resources/advising/ for additional information and all your advising needs.#### Major Faculty

*Chairperson: *L. Skrzypek;* Associate Chairperson: *S. Suen; *Distinguished University Professor*s: D. Khavinson, C.P. Tsokos; *Professors: X. Hou, *N. Jonoska, A.G. Kartsatos, G. Ladde, M.N. Manougian, E. Rakhmanov, K.M. Ramachandran, J.S. Ratti, M. Saito, B. Shekhtman, W.R. Stark, V. Totik, Y. You; *Associate Professors: *T. Bieske, C. Beneteau, B. Curtin, M. Elhamdadi, S. Kouchekian, W. Ma, G.L. McColm, M.M. McWaters, B.T. Nagle, L. Skrzypek, S. Suen, R. Teodorescu; *Assistant Professors*: A. Danielyan, M. Krajcevski, S.Y. Lee, D. Shen, R. Wooten; *Instructors: *A. Bieske, F. Burgos, I. Chitikov, F. Hopf, S.E. Rimbey, I. Rothstein; *Scholar/Scientist/Engineer*: A. Grinshpan; *Professors Emeriti: *W.E. Clark, S. Isaak, J.J. Liang, A. Mukherjea, K.L. Pothoven, F.J. Zerla, C. A. William.

### More About this Major

### Accelerated Program

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

Show Me More### 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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