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Degree programs: The Department of Mathematics offers a mathematics major, a quantitative sciences major (an interdisciplinary major co-administered with the Department of Statistics), a minor in mathematics, a minor in actuarial science, and a combined bachelor’s- and master’s-degree program, all described below. Additional information is also available at the Web site. Students who intend to major in mathematics or in quantitative sciences should consult a departmental adviser.

General Education: Students should refer to the critical-tracking criteria and other requirements for the major to determine the appropriate course(s). Precalculus, calculus, and many higher-level courses meet general education requirements. For students whose majors require no specific math course, MGF 1106 and MGF 1107 are appropriate general education math courses.

Placement: Students with strong math backgrounds who plan to take a calculus or higher-level course should consult an adviser about placing into the appropriate course.

Students who must take Calculus 1 and whose high-school math background is weak should begin with one of the precalculus courses MAC 1147, MAC 1140, or MAC 1114. MAC 1147 is a fast-paced review of pre-calculus algebra and trigonometry. The combination of MAC 1140 (Precalculus Algebra) and MAC 1114 (Trigonometry) covers the same material as MAC 1147 but at a slower pace.

A background in trigonometry is necessary for MAC 2311 but not for MAC 2233. Therefore MAC 1140 provides sufficient background for MAC 2233, but students planning to take a UF precalculus course to prepare for MAC 2311 should take MAC 1147 or both MAC 1140 and MAC 1114.

Students who need to take a precalculus or Calculus 1 course are strongly advised (and in some cases required) to take the online Calculus Readiness Assessment. More information is available in the academic advising section of this catalog and at this Web site: www.math.ufl.edu/courses/advising/start_calculus.html.

More information on placement in calculus and precalculus is available at this Web site: www.math.ful.edu/courses/advising/around_calculus.html, at

the Academic Advising Center, at the Mathematics Department office (Little Hall, Room 358), and in the academic advising section of this catalog.

The Major: The mathematics 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 toward the major.

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.

Note 1: Mathematics majors without significant prior experience writing proofs of theorems are strongly encouraged to take one of MAS 3300 or MHF 3202 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 and 4103.

• 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.

• MAD 4203 Combinatorics 1
• MAD 4204 Combinatorics 2
• MAS 4107 Linear Algebra 2
• MAS 4203 Number Theory
• MAS 4302 Abstract Algebra 2
• MHF 4102 Set Theory
• MHF 4203 Foundations of Math
• MTG 4302 Topology 1
• MTG 4303 Topology 2

• MAA 4402 Complex Variables or MAP 4403 Mathematical Methods for Engineers (not both)
• MAD 4203 Combinatorics 1
• MAD 4204 Combinatiorics 2
• MAD 4401 Numerical Analysis
• MAP 4305 Differential Equations 2
• MAP 4341 Partial Differential Equations
• 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 take one

• MAD 4203 Combinatorics 1
• MAD 4204 Combinatorics 2
• MAD 4401 Numerical Analysis
• MAS 4124 Numerical Linear Algebra
• MAS 4203 Number Theory

• 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

• 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 exceptions that (i) MAA 4156 and MAA 5157 will not count toward the math major if PHY 3323 or PHY 4324 is taken and (ii) at most one of MAA 4402 and MAP 4403 will count toward the math major.

• 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

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

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

• Maintain 2.0 UF GPA

• Complete MAC 2311 and MAC 2312

• Complete MAC 2313 or MAP 2302 with a 2.5 GPA on all critical-tracking course work

• Complete MAC 2313 and one of MAP 2302, MAS 3300, MHF 3202, MAD 3107, and MTG 3212 with a 2.5 GPA on all critical-tracking course work

Combined-Degree Program: This combined bachelor’s/master’s program is designed for superior mathematics majors who can pursue an accelerated program that leads to a Master of Science or a Master of Arts. Up to 12 semester hours of approved graduate-level mathematics courses may be double-counted for the undergraduate and the graduate degrees. All requirements for both degrees must be met. Contact the undergraduate coordinator, Department of Mathematics, Little Hall, Room 358, for details, or refer to www.math.ufl.edu/undergradprog.

The 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: (four courses)

• MAC 2312 (or MAC 2512 or MAC 3473), MAC 2313 (or MAC 3474), MAP 2302 and a scientific programming language (CIS 3020 or CGS 2425 and 2425L is preferred; CGS 2414 is allowed). The sequence of CIS 3022-3023 may be substituted for CIS 3020.

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

• MAS 3114 (Computational Linear Algebra) or MAS 4105 (Linear Algebra)
• MAD 4203 (Combinatorics 1) or MAD 3107 (Discrete Mathematics) or COT 3100 (Applications of Discrete Structures)
• 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 four courses):

For further information, contact Professor David Groisser, Mathematics, 352-392-0281, ext, 261, groisser@math.ufl.edu or Professor Dennis Wackerly, Statistics, 352-392-1941, dwack@stat.ufl.edu.

To remain ‘on track’ for this major, a student must meet the following critical-tracking criteria.

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

• 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 preferred, CGS 2414 allowed) with a 2.5 GPA on all critical-tracking course work. The sequence CIS 3022-3023 may be substituted for CIS 3020.

The following is a sample program for semesters 4-8 of the quantitative sciences major; semesters 1-3 follow the mathematics major sample program outlined earlier.

Minors: 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.

The Minor in Mathematics: The following 23-24 credits must be completed with grades of C or better. The three 4000-level courses in the last line of the list below must be taken from the UF Department of Mathematics. No substitutions from other institutions or departments are allowed. A prerequisite for admission to the minor is prior completion of one of these 4000-level courses with a grade of C+ or better.

The Minor in Actuarial Science: This 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).