Mathematics

The Major: The mthematics major consists of nine core courses, providing a broad base in mathematical sciences, supplemented by four electives chosen from a list of approved courses. Two of these four electives must fall into one of five elective packages: pure mathematics, applied mathematics, physics, computer science, and statistics. Only courses completed with grades of C or better will count towards the major.

An accelerated combined bachelor’s and master’s degree program for the mthematics major is also offered and is described below.

The department also co-administers a quantitative sciences major, described below.

The department offers a traditional minor and a minor in actuarial science, both described under "The Minor" below.

The degrees offered with a major in mathematics or in quantitative sciences are the Bachelor of Arts and the Bachelor of Science, the requirements for which are identical. The student may choose which degree he or she would prefer to receive.

All mathematics majors are encouraged to:

• meet the college distribution requirement in the physical sciences with the Physics sequence PHY 2048-2049 or PHY 2060-2061, Physics with Calculus; and
• take no mathematics course at the 3000-level or below that is not a core or pre-approved elective course except with adviser approval.

Four courses from the pre-approved elective list must be completed, two of which satisfy one of the elective packages. The full list of pre-approved electives consists of the courses listed in the elective packages plus those listed under "additional electives" below.

Choose two courses from:

• MAD 4203 (Combinatorics 1)
• MAD 4204 (Combinatorics 2)
• MAS 4107 (Linear Algebra 2)
• MAS 4203 (Number Theory)
• MAS 4302 (Abstract Algebra 2) (formerly MAS 3203

• MHF 4102-3 (Foundations)
• MTG 4302-3 (Topology)

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 4403 Mathematical Methods for Engineers
• MAP 4413 Fourier Series and Transforms 1
• MAS 4124 Numerical Linear Algebra

• STA 4322 Mathematical Statistics 2
• MAP 4102 Probability and Stochastic Processes 2

• COP 3530 Data Structures

and one of:

• MAD 4203 Combinatorics 1
• MAD 4401 Numerical Analysis
• MAS 4124 Numerical Linear Algebra
• MAS 4203 Number Theory (formerly MAS 3203)

One of

• PHY 3062 Accelerated General Physics 3
• PHY 3063 Accelerated General Physics 4
• PHY 3221 Mechanics 1
• PHY 3323 Electromagnetism 1
• PHY 3513 Thermal Physics 1
• PHY 4324 Electromagnetism 2
• PHY 4328 Classical Electrodynamics
• PHY 4422 Optics 1
• PHY 4523 Statistical Physics
• PHY 4604 Quantum Mechanics 1
• PHY 4605 Quantum Mechanics 2

and one of:

• MAA 4156 Vector Analysis (but this will not count towards math major if PHY 3323 or PHY 4234 taken)
• MAA 4402 Complex Variables
• MAP 4305 Differential Equations 2
• MAP 4341 Partial Differential Equations

Mathematics:

• MAD 3107 (Discrete Mathematics)
• MAS 3300 Numbers and Polynomials
• MHF 3202 Sets and Logic
• MTG 3212 Geometry
• any course at the 4000-level or above with the prefix MAA, MAD, MAP, MAS, MHF or MTG, with the exception that MAA 4156 and MAA 5157 will not count towards the math major if PHY 3323 or PHY 4324 is taken.

• STA 4322, 4210, 4211

• COP 3530, CDA 3101, COP 4600

• PHY 3062, 3063, 3221, 3323, 3512, 3513, 4324, 4328, 4422, 4523, 4604, 4605.

• ESI 4312, 4313

Combined Bachelor’s and Master’s Program: This combined bachelor’s/master’s 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, 358 Little Hall, for details, or access www.math.ufl.edu/undergradprog/

Major in Quantitative Sciences: The college offers an interdisciplinary major in quantitative sciences, co-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. Beyond prerequisites, the quantitative sciences major must complete six core courses and four elective courses. The four electives must be chosen to complete two elective packages. The elective packages offered are mathematics, statistics, operations research, computer science, imaging science, actuarial science, basic education, and advanced education.

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. These elective packages are intended to tailor the program in a specific direction chosen by the student, such as biology and medicine, business and finance, computer science, and imaging science.

Prerequisites for entry to the quantitative sciences major: (4 courses)

• MAC 2312, MAC 2313, MAP 2302 and a scientific programming language (CIS 3020 or CGS 2425 and 2425L is preferred; CGS 2414 is allowed).

Core courses for the quantitative sciences major: (6 courses)

• 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)

Elective packages for the quantitative sciences major (complete two packages for a total of 4 courses):

The Minor: The department offers two minors. The minor in mathematics is a general minor open to all students not majoring in mathematics or in quantitative sciences. The minor in actuarial science is a focused program open to all students, regardless of major.

Minor in Mathematics: 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.

Minor in Actuarial Science: 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 your 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.

Mathematics

To remain ‘on track’ for this major you must meet the following critical tracking criteria.

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

• Maintain 2.0 UF GPA

• Complete MAC2311 and MAC2312

• Complete MAC2313 or MAP2302 with a 2.5 GPA on all critical tracking course work

• Complete MAC2313 and one of MAP2302, MAS3300, MHF3202, MAD 3107, and MTG03212 with a 2.5 GPA on all critical tracking course work

The semester-by-semester plan below is only a sample program; it may be adjusted to reflect background and goals. Critical tracking courses do not necessarily have to be completed as early as in the sample program; see the tracking criteria above. Consult a department adviser (in 358 Little Hall) early to plan your individual program.

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

• Maintain 2.0 UF GPA

• Complete MAC 2311 and MAC 2312

• Complete MAC 2313 with a 2.5 GPA on all critical tracking course work

• Complete MAP 2302 and a programming language (CIS 3020, CGS 2425 and CGS 2425L or CGS 2414 preferred) with a 2.5 GPA on all critical tracking course work

The following is a sample program for semesters 4-8 of the quantitative sciences major; semesters 1-3 follow the Mathematics major program outlined above. Critical tracking courses do not necessarily have to be completed as early as in the sample program; see the tracking criteria above. The program below is only a sample; it may be adjusted to reflect background and goals. Consult departmental advisers in mathematics and statistics to plan your individual program.