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Mathematics

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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 bachelorís and masterís 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.

A great deal of information on majors, minors, courses, and advising is available at www.math.ufl.edu. Students who intend to major in mathematics or in quantitative sciences should consult a departmental advisor in 358 Little Hall.

Core Courses for the Mathematics Major:

Courses

Credits

Calculus 2: MAC 2312, 3512 or 3473

4

Calculus 3: MAC 2313 or 3474

4

Differential Equations: MAP 2302

3

Computer Programming: One of CIS 3020, CGS 2425, CGS 2420, CGS 3460, CGS 3464

3

Statistics: STA 4321

3

Linear Algebra: MAS 4105 (see note 1)

4

Abstract Algebra: MAS 4301

3

Advanced Calculus (see note 2): MAA 4211-2 or MAA 4102-3

6

 

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 or 4103.

 

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.

Electives

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.

Elective Packages

Pure mathematics packages:

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

or one of the following sequences:

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

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

Statistics:

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

Computer Science:

  • 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)

Physics:

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

Additional Electives

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.

Statistics:

  • STA 4322, 4210, 4211

Computer and Information Sciences:

  • COP 3530, CDA 3101, COP 4600

Physics:

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

Industrial and Systems Engineering:

  • ESI 4312, 4313

Combined Bachelorís and Masterís Program: This combined bachelorís/masterís 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):

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, CIS 4301, COP 4720

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.

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

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.

Courses

Credits

Calculus 2: MAC 2312 OR MAC 3512 OR MAC 3473

4

Calculus 3: MAC 2313 OR MAC 3474

4

Differential Equations: MAP 2302 OR EGM 3311

3

Linear Algebra: MAS 4105 OR MAS 3114

3-4

Three courses at the 4000-level or above with the prefix MAA, MAD, MAP, MAS, MHF OR MTG

9

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).

Courses

Credits

Mathematics

 

Calculus 2: MAC 2312 OR 3512 OR 3473

4

Calculus 3: MAC 2313 OR 3474

4

Intro. Act. Math: MAP 3170

3

Statistics

 

Mathematical Statistics: STA 4321 and 4322

6

Regression Analysis: STA 4210

3

Business Administration

 

Financial Accounting: ACG 2021C

4

Risk Management: RMI 3011 OR 4305

4

Business Finance: FIN 3403

3

Macroeconomics: ECO 2013

3

Microeconomics: ECO 2023

3

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.

Placement: Course placement information can be obtained on the mathematics Web site: www.math.ufl.edu/courses/advising/, at the Academic Advising Center, at the Mathematics Department office in 358 Little Hall, and in the academic advising section of this catalog.

Mathematics

To remain Ďon trackí for this major you must meet the following critical tracking criteria.

Semester 1:

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

Semester 2:

  • Maintain 2.0 UF GPA

Semester 3:

  • Complete MAC2311 and MAC2312

Semester 4:

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

Semester 5:

  • 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.

Semester 1

Credits

MAC 2311 Calculus 1 (GE-M)

4

Biological Science (GE)

3

Social and behavioral science (GE)

3

Humanities (GE)

3

__

 

Total

13

Semester 2

Credits

MAC 2312 Calculus 2 (GE-M)

4

Biological Science (GE)

3

Composition (GE)

3

Humanities (GE)

3

Elective

3

__

 

Total

16

Semester 3

Credits

MAC 2313 Calculus 3 (GE-M)

4

Computer Programming

3

Physical Sciences (GE)

3

Science Laboratory (GE-P or B)

1

Social and behavioral science (GE)

3

Humanities (GE)

3

__

 

Total

17

Semester 4

Credits

MAP 2302 Differential Equations (GE-M)

3

MAS 3300 Numbers and Polynomials or MHF 3202 Sets and Logic (GE-M)

3

Physical Sciences (GE)

3

Composition

3

Social and Behavioral science (GE)

3

__

 

Total

15

 

Semester 5

Credits

MAS 4105 Linear Algebra

4

STA 4321 Mathematical Statistics (GE-M)

3

Foreign Language

4-5

Elective (3000-level or higher, not in major)

3

_____

 

Total

14-15

Semester 6

Credits

MAS 4301 Abstract Algebra

3

Mathematics elective 2

3

Foreign Language

3-5

Elective (3000-level or higher, not in major)

3-4

_____

 

Total

12-15

Semester 7

Credits

Advanced Calculus 1

3

Mathematics elective 3

3

Two Electives (3000-level or higher, not in major)

6

Elective (or foreign language if 4-3-3 option)

3

__

 

Total

15

Semester 8

Credits

Advanced Calculus 2

3

Mathematics elective 4

3

Elective (3000-level or higher, not in major)

3

Two electives

6

__

 

Total

15

Quantitative Sciences

To remain Ďon trackí for this major, a student must meet the following critical tracking criteria.

Semester 1:

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

Semester 2:

  • Maintain 2.0 UF GPA

Semester 3:

  • Complete MAC 2311 and MAC 2312

Semester 4:

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

Semester 5:

  • 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.

Semester 4

Credits

MAP 2302 Differential Equations (GE-M)

3

Mathematics elective at 3000-level or above (GE-M)

3

Physical Sciences (GE)

3

Composition (GE)

3

Social and Behavioral science (GE)

3

__

 

Total

15

 

 

Semester 5

Credits

MAS 3114 OR MAS 4105 Linear Algebra

3-4

STA 4322 Mathematical Statistics 2

3

Foreign Language

4-5

Elective

3

__

 

Total

13-15

Semester 6

Credits

MAD 4203 Combinatorics, MAD 3107 Discrete Mathematics, or COT 3100

3

STA 4210 Regression Analysis

3

Foreign Language

3-5

Elective (outside major)

3

__

 

Total

12-14

Semester 7

Credits

MAD 4401 Introduction to Numerical Analysis

3

Mathematical Science Electives 1 & 2

6

Two electives (3000-level or higher, not in major)

6

__

 

Total

15

Semester 8

Credits

Mathematical Science Elective 3 & 4

6

Elective (outside major)

3

Elective (or foreign language if 4-3-3 option)

3

__

 

Total

12

 
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