Mathematics

The Major: The department offers the Bachelor of Science and the Bachelor of Arts, the requirements for which are the same. It also offers a minor in mathematics and Actuarial Science.

The major is a broad mathematical sciences major consisting of five elective packages built around a solid mathematical core. Elective packages are available in pure mathematics, applied mathematics, statistics, computer science, or physics. The program is designed to facilitate a minor in statistics, computer science, physics, actuarial science, or education.

Core Courses: These courses must be completed with grades of C or better:

Note 1: Mathematics majors should take one of MAS 3300, MHF 3202 or MTG 3212 before MAS 4105.

Note 2: Credit toward the major will be given for at most one of MAA 4211 and MAA 4102, and at most, one of MAA 4212 or 4103.

Physical Sciences Distribution Requirement:

All mathematics majors are encouraged to meet the college distribution requirement in the physical sciences with a Physics sequence PHY 2048-2049, Physics with Calculus.

• Take no mathematics course at the 3000-level or below that is not in the major except with adviser permission.

Electives

Four courses from the elective list must be completed, two of which satisfy one of the elective packages.

Elective Package

Pure mathematics: Two courses from:

• MAA 4402 Complex Variables
• MAD 4203, MAD 4204 Combinatorics 1,2
• MAS 4107 Linear Algebra 2
• MAS 4302 Abstract Algebra 2
• MAS 4203 Number Theory
• MHF 4102 Set Theory
• MHF 4203 Foundations
• MTG4302, MTG 4303 Topology 1,2

Applied Mathematics: Two courses from

• MAA 4402 Complex Variables
• MAD 4203 Combinatorics 1
• MAD 4401 Numerical Analysis
• MAP 4305 Differential Equations 2
• MAP 4341 Partial Differential Equations
• MAP 4413 Fourier Analysis
• MAS 4124 Numerical Linear Algebra

Statistics:

• STA 4322 Mathematical Statistics 2
• MAP 4102 Stochastic Processes

Computer Science:

• COP 3530 Data Structures

• MAD 4203 Combinatorics 1
• MAD 4401 Numerical Analysis
• MAD 4504 Theory of Computing
• MAS 4124 Numerical Linear Algebra
• MAS 4203 Number Theory

Physics: One of

• PHY 3221 Mechanics 1
• PHY 3323 Elect. and Magnetism 1
• PHY 4604 Quantum Mechanics 1

• MAA 4156 Vector Analysis
• MAA 4402 Complex Variables
• MAP 4305 Differential Equations 2
• MAP 4341 Partial Differential Equations

Additional Electives

Mathematics:

• MAS 3300 Numbers and Polynomials
• MHF 3202 Sets and Logic
• MTG 3212 Geometry
• And any course at the 4000-level or above with the prefix MAA, MAD, MAP, MAS, MHF or MTG.

Statistics:

• STA 4322, 4210, 4211

• COP 3530, CAP 4410, CAP 4621, CAP 4730

Physics:

• PHY 3062, 3063, 3221, 3323, 3512, 4324, 4523

• ESI 4312, 4313

• MAC 2312, MAC 2313, MAP 2302 and a scientific programming language (CIS 3020 or CGS 2425 and 2425L is preferred).

• MAS 3114 or MAS 4105 (Linear Algebra)
• MAD 4203 (Combinatorics) or MAD 3107 (Discrete Mathematics) or COT 3100
• MAD 4401 (Introduction to Numerical Analysis)
• STA 4321 (Mathematical Statistics 1)
• STA 4322 (Mathematical statistics 2)
• STA 4210 (Regression Analysis)

Package 1 (Mathematics): Choose two of MAP 4305, MAP 4341, MAS 4124

Package 2 (Statistics): Any two additional 4000-level STA courses, except 4033 or 4170

Package 3 (Operations Research): ESI 4312 and ESI 4313

Package 4 (Computer Science): COP 3530 and one of CAP 4621, CAP 4800, COT 4400, COT 4420, CIS 4301, COP 4720, MAD 4504

Package 5 (Imaging Science): Choose two of CAP 4410, CAP 4730, MAP 4413

Package 6 (Actuarial Science): MAP 3170 and one of: STA 4211, STA 4502, STA 4702, STA 4821, MAP 4102

Package 7 (Basic Education): Two courses from: MTG 3212, MTG 3214, MAS 3300, MHF 3202.

Package 8 (Advanced Education): Two courses from: MHF 4404, MAA 4102, MAA 4103, MAS 4203, MAA 4402, MHF 4203.

Accelerated Bachelors and Masters Program: This combined bachelors/ masters program is designed for superior students who can pursue an accelerated program in mathematics that leads to a Master of Science or a Master of Arts. Up to 21 semester hours of approved graduate-level mathematics courses may be double-counted for both the undergraduate and the graduate degree. All requirements for both degrees must be met. Contact the Department of Mathematics at 358 Little Hall for details.

The Minor: The following 23-24 credits must be completed with grades of C or better. At least three of these courses, other than the two calculus courses, must be completed at UF.

Actuarial Science Minor: The minor is designed to prepare students for careers as actuaries. The required courses cover the material for the beginning examinations leading to an associateship in the major national actuarial societies. A minimum of 12 hours must be completed at UF. All 37 credits must be completed with grades of C or better (no S grades).

General Education: Refer to the Academic Advising section of this catalog to determine the mathematics course(s) required for major. If calculus is not required, MGF 1106 or MGF 1107 is appropriate as a general education mathematics course. (Higher level courses may be taken.)

Students who must take calculus and whose high school math background is weak should begin with MAC 1147 and follow with MAC 2233 or 2311, whichever is required. Students who intend to take MAC 2233 may wish to take MAC 1140 instead of MAC 1147. (Credit cannot be received for both.) They should note that MAC 1140 is not a prerequisite for MAC 2233. Students with strong backgrounds should consult an adviser about taking MAC 3472, MAC 3512 or placing ahead into the MAC 2311-2-3 sequence.

This is only a sample program; it can be adjusted to reflect background and goals. Refer to a department adviser (at 358 Little Hall) early to plan a program.

Major in Quantitative Sciences: The college offers an interdisciplinary major in quantitative sciences, administered by the departments of Mathematics and Statistics. The program equips students with the mathematical and statistical perspectives and computational skills required for an increasingly technological and quantitatively analyzed society.

Students who complete this program will have a wide range of academic and employment opportunities. Students attracted to engineering, mathematics, statistics and computer science may wish to explore this major. Elective packages can tailor the program in a specific direction, such as biology and medicine, business and finance, computer science, and imaging science. See below.

Quantitative Sciences

To remain 'on track' for this major you must meet the following critical tracking criteria. The critical tracking courses appear in bold.

Semester 1:

• 2.0 UF GPA required for sem 1-.5
• Complete 1 MAC course

• Maintain 2.0 UF GPA

Semester 3:

• Complete MAC2311 and MAC2312

Semester 4:

• Complete MAC2313 with a 2.5 GPA on all critical tracking coursework

Semester 5:

• Complete MAP2302 and any scientific programming language (CIS3020 or CGS2425 and CGS2425L preferred) with a 2.5 GPA on all critical tracking coursework.

Mathematics

To remain 'on track' for this major you must meet the following critical tracking criteria. The critical tracking courses appear in bold.

Semester 1:

• 2.0 UF GPA required for sem 1-5
• Complete 1 MAC course

• Maintain 2.0 UF GPA

Semester 3:

• Complete MAC2311 and MAC2312

Semester 4:

• Complete MAC2313 with a 2.5 GPA on all critical tracking coursework

Semester 5:

• Complete MAP2302 or any 3000 level MAC course with a 2.5 GPA on all critical tracking coursework.

The following is a sample program for the Quantitative Sciences major, administered by the departments of Mathematics and Statistics. Please note that Semesters 1-4 follow the mathematics program outlined above.