**Mathematical Sciences**

**Department of Mathematical Sciences**

**Mathematical Sciences Major (B.S.)**

Program objectives for a B.S. in Mathematical Sciences are to: (a) understand the notion of a real valued function; (b) understand the concept of differentiation and be able to apply the rules of differentiation to functions of one real variable. Be able to use these techniques to solve problems in optimization; (c) understand the use of vector analysis to describe the geometry of higher dimensional spaces; (d) understand how to extend the concepts of the calculus of functions of one variable to higher dimensions; (e) use matrices to solve systems of linear equations and to describe linear transformations; (f) understand abstract structures in mathematics; (g) be able to read and present mathematical proofs including an understanding of the basic types of proofs; (h) be able to formulate their own proofs of simple mathematical statements; (i) be able to use a computer to assist with the solution of mathematical problems; (j) Have advanced knowledge of at least one specialist area of mathematics: Statistics, Mathematics, or Teaching Mathematics.

**A. University General Education Program (41 hours)**

See **Graduation from the University** for the University General Education Program requirements. Note the following requirements
specified for the Mathematical Sciences major: Mathematics: MATH 1910; Natural Science:
CHEM 1110/1111, 1120/1121, or PHYS 2110/2111, 2120/2121.

requirements.

**B. The Major (41-42 hours in addition to University General Education Program)**

1. Major Core (17 hours):

Completion of MATH 1910 (this course is included in the University General Education Program requirements), MATH 1920, 2110, 2702, 2120 and 3242 (majors are encouraged to consider the departmental honors program described below); plus the following courses: CHEM 1110/1111, and 1120/1121 or PHYS 2110/2111, 2120/2121 (these courses are included in the University General Education Program requirements).

2. Concentration (21 -22 hours):

a. Mathematics (21-22 hours): COMP 1900 or COMP 4001 and 18 semester hours of upper division courses with departmental approval. The following are examples of approved course selections.

(1) Applied Mathematics: MATH 4120, 4391, 4635, 4721, and six upper division hours from the following: MATH 3221, 4242, 4261, 4350, 4351, 4361, 4392, 4396, 4640.

(2) General Mathematics: MATH 4242,4261 4350, 4635, and 6 upper division hours chosen from: MATH 3221, 4084, 4120, 4351, 4361, 4391, 4411, 4636, 4721.

(3) Graduate Study in Mathematics: MATH 4242, 4261, 4350, 4351, 4361and one additional course chosen from: MATH 3221, 4084, 4120, 4391, 4411, 4635.

(4) Secondary Mathematics Education: MATH 3221, 3581, 4151, 4261, 4635, and either MATH 4636, or 4637.

(5) Actuarial Science: MATH 4020, 4635, 4636, FIR 3410 and either (a) MATH 4022 and
4025, **or** (b) one of MATH 4022, 4025, and one of MATH 4028, 4030, 4640, 4643.

NOTE: All approved programs will include no more than 9 semester hours chosen from MATH 4607, 4635, 4636, 4637, 4640. Students are encouraged to work with their advisors to plan their programs.

b. Statistics (21 hours): COMP 4001, MATH 4635, 4636, 4640, and one of MATH 4607 or 4637, and 6 additional upper division hours chosen from: MATH 4120, 4242, 4261, 4350, 4351, 4361, 4391, 4607, 4637, 4643, 4721.

3. Additional Course (3 hours): Each major must take one additional upper division MATH course.

**Accelerated BS/MS Degree Program, with concentrations in Applied Mathematics, Mathematics,
and Statistics**

This program allows outstanding undergraduates to complete both a Bachelor of Science degree in Mathematical Sciences and a Master of Science degree in Mathematical Sciences with concentration in Applied Mathematics, Mathematics or Statistics. Students admitted into the program will follow a carefully designed program of study which allows them to begin course work for the Master of Science program during their senior year. Interested students are encouraged to consult with their undergraduate advisor in the Department of Mathematical Sciences and to begin planning to enter the accelerated BS/MS degree program early in their undergraduate career. Through careful coordination with their undergraduate and graduate advisors students will be able to graduate with both a bachelor's and master's degree within a five year period.

To apply, students must have finished 18 credit hours of course work in mathematics by the end of the semester of their application. Applicants must have a cumulative GPA of 3.00 (on a 4.0 scale) as well as a GPA of 3.30 (on a 4.0 scale) in their mathematics courses. The initial application for the accelerated BS/MS degree program consists of the following two parts:

1. A letter of intent including two letters of reference and a copy of the applicant's transcript to be submitted to the Department of Mathematical Sciences

2. Application with the Graduate School for "combination senior" status

To continue in the program beyond the bachelor's degree, students must also apply for full admission into the Graduate School and be accepted into the master's program by the Department of Mathematical Sciences.

Up to 9 hours of graduate course work may be applied to both the undergraduate and graduate programs. Details on courses that can be applied will be available in the Department of Mathematical Sciences. However, any graduate course work will not be used to calculate the undergraduate GPA.

**D. Electives**

Electives may be chosen to bring the total number of hours to 120.

**E. Honors Program**

The Department of Mathematical Sciences offers an honors program in Mathematics and Statistics for the talented student. To be admitted into the program, an entering freshman must score at least 29 on the Math ACT, and have a high-school GPA of 3.50, although exceptions may be made by the freshman's advisor, based upon an interview at the time of initial registration.

Currently enrolled students may be admitted into the Honors Program upon an interview
with the Departmental Honors Director. The basic requirements will be a 3.5 GPA on
all MATH courses, an overall GPA of 3.25, and timely progress toward a degree. Such
students may be admitted into MATH 1421, 2421, or 2422. Upon completion of the entry
course with a grade of at least B, such students will retroactively receive credit
for any previous course(s) in the Honors Sequence. A student **may not** enroll in MATH 3402 without having previously completed MATH 2422.

The successful candidate will complete the Major Core as listed about under item C, and complete one of the Areas of Concentration listed above, with the following exceptions and additions:

- In place of MATH 1910, 1920, 2110, and 3242, the Honors student must complete the four-course sequence of Honors Mathematics courses (MATH 1421, 2421, 2422, and 3402), and two semesters of the Mathematics Honors Seminar, MATH 3410 and 3411.
- Upon successful completion of the courses listed above, the student shall be considered
to have completed MATH 3242,
**and**MATH 2120 for prerequisite and graduation purposes. - The Honors student must take MATH 4402 - Senior Honors Seminar.
- Each of MATH 1421, 2421, 2422, 3402, 3410, 3411, 4402 must be completed with at least a grade of B.
- A GPA of 3.50 in all MATH courses must be maintained.

Upon completion of the program, the successful candidates will be recognized at the commencement ceremony by having their degrees conferred "With Honors in Mathematical Sciences," and their diplomas and records at the University of Memphis will reflect this distinction.

**F. Second Major in Mathematical Sciences for majors in Chemistry, Computer Science,
Engineering, and Physics (29-30 hours): **

(a) MATH 1910, 1920, 3242 and

(b) one of COMP 2700, MATH 2110, or MATH 2702, and

(c) 9 hours from upper division MATH courses approved by the Chair or Chair's designee of the Department of Mathematical Sciences with at least one course chosen from MATH 4022, 4083, 4084*, 4085*, 4086, 4120, 4242, 4261**, 4350**, 4361, 4391, 4411**, 4635***, 4721, and

(d) 6 additional hours of courses which may be chosen from either MATH and/or the student's major, approved by the Chair or Chair's designee of the Department of Mathematical Sciences.

* Additional prerequisite: Either MATH 2702 or COMP 2700.

** Additional prerequisite: MATH 2702.

*** Additional prerequisite: MATH 2120.

**Mathematical Sciences Minor**

A minimum of 20 semester hours, including MATH 1910 (4), 1920 (4), and 9 additional upper division semester hours in MATH courses approved by the Chair or Chair's designee of the Department of Mathematical Sciences, plus one of COMP 2700, MATH 2702, MATH 2110, or an additional upper division MATH course approved by the Chair or Chair's designee of the Department of Mathematics.

**Typical 4-Year Mathematics Concentration Sequence**

**Freshman Year**

ENGL 1010 | 3 | ENGL 1020 | 3 |

MATH 1910 | 4 | MATH 1920 | 4 |

Social/Behavioral Sciences* | 3 | Natural Science** | 4 |

Elective | 3 | Elective | 3 |

Elective | 3 | ||

Semester Totals | 16 hrs | 14 hrs |

**Sophomore Year**

History* | 3 | History* | 3 |

ENGL 2201 or 2202 | 3 | MATH 2702 | 3 |

MATH 2110 | 4 | COMM 2381 | 3 |

Natural Science** | 4 | Humanities/Fine Arts* | 3 |

Social/Behavioral Sciences* | 3 | MATH 2120 | 3 |

Semester Totals | 17 hrs | 15 hrs |

**Junior Year**

MATH 3242 | 3 | UD MATH | 3 |

UD MATH | 3 | Humanities/Fine Arts* | 3 |

COMP 4001 | 3 | UD elective | 3 |

UD Elective | 3 | Elective | 3 |

UD elective | 3 | UD MATH | 3 |

Semester Totals | 15 hrs | 15 hrs |

**Senior Year**

UD MATH | 3 | UD MATH | 3 |

UD MATH | 3 | UD MATH | 3 |

Elective | 3 | Elective | 3 |

Elective | 3 | UD elective | 3 |

UD elective | 3 | Elective | 1 |

Semester Totals | 15 hrs | 13 hrs |

Total Hours: 120

Total Hours Required for Graduation: 120

*Must satisfy University General Education Program Requirement

**Choose one Natural Science sequence: CHEM 1110/1111 and 1120/1121, OR PHYS 2110/2111 and 2120/2121.

**Typical 4-Year Statistics Concentration Sequence**

**Freshman Year**

ENGL 1010 | 3 | ENGL 1020 | 3 |

MATH 1910 | 4 | MATH 1920 | 4 |

Social/Behavioral Sciences* | 3 | Natural Science** | 4 |

Elective | 3 | Elective | 3 |

Elective | 3 | ||

Semester Totals | 16 hrs | 14 hrs |

**Sophomore Year**

History* | 3 | History* | 3 |

ENGL 2201 or 2202 | 3 | MATH 2702 | 3 |

MATH 2110 | 4 | COMM 2381 | 3 |

Natural Science** | 4 | Humanities/Fine Arts* | 3 |

Social/Behavioral Sciences* | 3 | MATH 2120 | 3 |

Semester Totals | 17 hrs | 15 hrs |

**Junior Year**

MATH 3242 | 3 | MATH 4635 | 3 |

UD MATH | 3 | MATH 4636 | 3 |

COMP 4001 | 3 | Humanities/Fine Arts* | 3 |

UD Elective | 3 | UD elective | 3 |

Elective | 3 | UD elective | 3 |

Semester Totals | 15 hrs | 15 hrs |

**Senior Year**

MATH 4640 | 3 | MATH 4607 or 4637 | 3 |

UD MATH*** | 3 | UD MATH*** | 3 |

Elective | 3 | Elective | 3 |

Elective | 3 | UD elective | 3 |

UD elective | 3 | Elective | 1 |

Semester Totals | 15 hrs | 13 hrs |

Total Hours: 120

Total Hours Required for Graduation: 120

*Must satisfy University General Education Program Requirement

**Choose one Natural Science sequence: CHEM 1110/1111 and 1120/1121, OR PHYS 2110/2111 and 2120/2121.

***Choose from MATH 4120, 4242, 4261, 4350, 4351, 4361, 4391, 4551, 4607, 4637, 4643, 4721