Mathematics
Studying mathematics develops such skills as critical thinking, oral and written communication, arguing logically and rigorously, thinking abstractly, formulating and solving problems, analyzing data, analyzing mathematical models, quantitative and computer proficiency, and the ability to work in groups. Employers value these skills; consequently, math majors find themselves in demand by employers for careers in a wide spectrum of fields.
About This Major
- College: Liberal Arts and Sciences
- Degrees: Bachelor of Arts and Bachelor of Science
- Credits for Degree: 120
- Minor: Yes
- Combined-Degree Program: Yes
- Academic Learning Compact: Mathematics
- Website: www.math.ufl.edu/mathmajor
Overview
The Department of Mathematics offers two undergraduate degree programs in mathematics: The Bachelor of Science (B.S.) is intended for students who wish to pursue graduate study in mathematics as well as for other strong students with a deep interest in mathematics. The Bachelor of Arts (B.A.) is intended for students who wish to pursue a career in a mathematical field or to teach mathematics at the secondary-school level, but who do not currently contemplate graduate study in mathematics.
Coursework for the Major
Students are required to take eight core courses, providing a broad base in mathematics, and four electives chosen from a list of approved courses. All but two of the core courses are the same for both degrees. Students pursuing the B.A. degree have greater flexibility in their choice of electives, facilitating the possibility of a double-major with another scientific discipline. All coursework for the major must be completed with minimum grades of C, with the exception of MAS 4105 for students in the B.S. specialization, which requires a minimum grade of B.
Required Coursework for Both Degrees
- Calculus 2 (MAC 2312 or MAC 2512 or MAC 3473)
- Calculus 3 (MAC 2313 or MAC 3474)
- Differential Equations (MAP 2302)
- Sets and Logic (MHF 3202)
(or MAS 3300 Numbers and Polynomials for students in the UFTeach program)
- Linear Algebra 1 (MAS 4105)
- Abstract Algebra 1 (MAS 4301)
The mathematics major is expected to take the following upper-division core courses at UF: Linear Algebra, Abstract Algebra, Advanced Calculus 1 and 2. These courses are common to all math majors and most clearly define the experience of the mathematics major at UF.
Additional Required Coursework for B.A.
- Advanced Calculus for Engineers and Physical Scientists 1 and 2 (MAA 4102 and MAA 4103) or
Advanced Calculus 1 and 2 (MAA 4211 and MAA 4212).
- Four electives from the list below of approved electives; at least one must be a course offered by the Department of Mathematics at the 4000-level or above.
Additional Required Coursework for B.S.
- Advanced Calculus 1 and 2 (MAA 4211 and MAA 4212). Students must earn a minimum grade of B in MAS 4105 before taking MAA 4211.
- Four electives from the list below of approved electives; at least three must be courses offered by the Department of Mathematics at the 4000-level or above.
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Recommended Coursework for Both Degrees
All math majors are encouraged to meet the college distribution requirement in the physical sciences with the sequence PHY 2048/2049 Physics with Calculus 1 and 2 or the sequence PHY 2060/2061 Enriched Physics with Calculus 1 and 2. Math majors also should take no mathematics course at the 3000 level or below that is not on the lists of core courses or approved electives, except with adviser approval. Students who want to pursue careers in applied mathematics are urged to take STA 4321/4322 and learn a scientific programming language.
Recommended Coursework for B.A.
B.A. students can use their electives choices creatively. By choosing courses in statistics, computer science, physics and industrial engineering from the list below, math B.A. majors can enhance their career prospects in applied math, data analysis, information technology and operations research.
Math majors who plan to teach secondary-school mathematics should investigate the UFTeach program and they should include MTG 3214 Euclidean Geometry (or MTG 3212 Geometry, but not both), MAA 4402 Functions of a Complex Variable and STA 4321 Introduction to Probability among their electives.
Recommended Coursework for B.S.
Students who want to pursue graduate study in a Ph.D. program in mathematics should complete MAS 4301 and MAA 4211/4212 by the end of their junior year. They also should include MAS 5311 Introductory Algebra 1 and MAA 4226 Modern Analysis 1 among their electives, and they are encouraged to take more than four electives.
Graduate tuition fees will apply for MAS 5311.
Approved Electives for Both Degrees (except as noted)
- MAA 4226 Introduction to Modern Analysis 1
- MAA 4227 Introduction to Modern Analysis 2
- MAA 4402 Functions of a Complex Variable
- MAD 3107 Discrete Mathematics
- MAD 4203 Combinatorics 1
- MAD 4204 Combinatorics 2
- MAD 4401 Introduction to Numerical Analysis
- MAP 4305 Differential Equations for Engineers and Physical Scientists
- MAP 4341 Elements of Partial Differential Equations
- MAP 4413 Fourier Analysis
- MAP 4484 Modeling in Mathematical Biology
- MAP 4102 Probability and Stochastic Processes 2
- MAS 4107 Linear Algebra 2
- MAS 4124 Introduction to Numerical Linear Algebra
- MAS 4203 Introduction to Number Theory
- MAS 4302 Abstract Algebra 2
- MAT 4930 Special Topics in Mathematics (only if approved by undergraduate coordinator)
- MHF 3404 History of Mathematics
- MHF 4102 Elements of Set Theory
- MHF 4203 Foundations of Mathematics
- MTG 3212 Geometry (only MTG 3212 or MTG 3214 may be used as a math elective)
- MTG 3214 Euclidean Geometry (B.A. only)
- MTG 4302 Elements of Topology 1
- MTG 4303 Elements of Topology 2
- Any course offered by the mathematics department at the 5000-level or above and any of the following courses offered outside the mathematics department:
- CDA 3101 Introduction to Computer Organization
- COP 3530 Data Structures and Algorithm
- COP 4600 Operating Systems
- ESI 4312 Operations Research 1
- ESI 4313 Operations Research 2
- PHY 3063 Enriched Modern Physics
- PHY 3221 Mechanics 1
- PHY 3323 Electromagnetism 1
- PHY 3513 Thermal Physics 1
- PHY 4222 Mechanics 2
- PHY 4324 Electromagnetism 2
- PHY 4424 Optics 1
- PHY 4523 Statistical Physics
- PHY 4604 Introductory Quantum Mechanics 1
- PHY 4605 Introductory Quantum Mechanics 2
- STA 4210 Regression Analysis
- STA 4211 Design of Experiments
- STA 4321 Introduction to Probability
- STA 4322 Introduction to Statistics Theory
- STA 4853 Introduction to Time Series and Forecasting
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Course Details
Mathematics majors should consult the math website for curriculum recommendations.
Relevant Minors and/or Certificates
Mathematics majors are encouraged to consider taking a minor in computer science, industrial and systems engineering, physics or statistics. The Department of Statistics offers a minor in actuarial science.
UFTeach Program: There is a severe shortage of qualified high school mathematics teachers in Florida and nationwide. Students interested in becoming part of this high-demand profession should see a major adviser about the UFTeach program. UFTeach students complete the UFTeach minor in mathematics teaching with their B.A. or B.S. in mathematics and have the coursework and preparation for professional teacher certification in Florida when they graduate.
Research
Research and scholarly opportunities are described on the mathematics website under Opportunities for Undergraduates.
Combined Degree Programs
Mathematics majors who complete the requirements for major by the end of the junior year are eligible for the combined degree program. If admitted to the graduate program, the student will take the graduate sequences MAA 5228 and 5229 (Modern Analysis) and MAS 5311 and 5312 (Introduction to Algebra) during the senior year. These 12 credits then will apply toward a master's degree in mathematics as well as toward the undergraduate degree. The student should successfully complete this degree with one additional full-time year of graduate school.
Critical Tracking and Semesters 1-4 for Both Degrees
Bachelor of Arts, Semesters 5-8
Bachelor of Science, Semesters 5-8
Critical Tracking, Both Degrees
To graduate with this major, students must complete all university, college and major requirements. For degree requirements outside of the major, refer to CLAS Degree Requirements: Structure of a CLAS Degree.
Equivalent critical-tracking courses as determined by the State of Florida Common Course Prerequisites may be used for transfer students.
Critical-tracking requirements are similar for both the B.S. and B.A. degrees. All students must meet these criteria to remain on track for the major.
Semester 1
- Complete MAC 2311
- 2.0 UF GPA required
Semester 2
- Complete MAC 2312
- 2.0 UF GPA required
Semester 3
- Complete MAC 2313
- 2.0 UF GPA required
Semester 4
- Complete MHF 3202 (or MAS 3300 for UFTeach students) with a 2.5 GPA required for all critical-tracking courses
- 2.0 UF GPA required
Semester 5
- B.A.: Complete MAS 4105 with a 2.5 GPA required for all critical-tracking courses
- B.S.: Complete MAS 4105 with a minimum grade of B and a 2.5 GPA required for all critical-tracking courses
- 2.0 UF GPA required
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Recommended Semesters 1-4 Plan for Both Degrees
The semester plans below are sample programs; they may be adjusted to reflect background and goals. Critical-tracking courses do not necessarily have to be completed as early as they appear in the sample programs; refer to the tracking criteria above. Students should consult a department adviser in 358 Little Hall early to plan their programs.
Semesters 1-4 are the same for both the B.S. and B.A. degrees.
Students are expected to complete the writing requirement while in the process of taking the courses below. Students are also expected to complete the general education international (GE-N) and diversity (GE-D) requirements concurrently with another general education requirement (typically, GE-C, H or S).
Semester 1 |
Credits |
HUM 2305 What is the Good Life (GE-H) |
3 |
MAC 2311 Analytic Geometry and Calculus 1 (GE-M) |
4 |
Biological Science (GE-B) |
3 |
Social and Behavioral Sciences (GE-S) |
3 |
Total |
13 |
Semester 2 |
Credits |
MAC 2312 Analytic Geometry and Calculus 2 (GE-M) |
4 |
Biological Science (GE-B) |
3 |
Composition (GE-C, WR) |
3 |
Elective |
3 |
Humanities (GE-H) |
3 |
Total |
16 |
Semester 3 |
Credits |
MAC 2313 Analytic Geometry and Calculus 3 (GE-M) |
4 |
MHF 3202 Sets and Logic |
3 |
Humanities (GE-H) |
3 |
Physical Science (GE-P) |
3 |
Science laboratory (GE-P or GE-B) |
1 |
Social and Behavioral Sciences (GE-S) |
3 |
Total |
17 |
Semester 4 |
Credits |
MAP 2302 Elementary Differential Equations (GE-M) |
3 |
MAS 4105 Linear Algebra 1 |
4 |
Composition (GE-C, WR) |
3 |
Physical Science (GE-P) |
3 |
Social and Behavioral Sciences (GE-S) |
3 |
Total |
16 |
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Recommended Semester Plan for B.A., Semesters 5-8
Semester 5 |
Credits |
MAS 4301 Abstract Algebra 1 |
3 |
Elective (3000 level or higher, not in major) |
3 |
Foreign language |
4-5 |
Mathematics elective |
3 |
Total |
13-14 |
Semester 6 |
Credits |
Elective |
3 |
Electives (two, at 3000 level or higher, not in major) |
6 |
Foreign language |
3-5 |
Mathematics elective |
3 |
Total |
15-17 |
Semester 7 |
Credits |
MAA 4102 Introduction to Advanced Calculus for Engineers and Physical Scientists 1 |
3 |
Elective (or foreign language if 4-3-3 option) |
3 |
Electives (two, at 3000 level or higher, not in major) |
6 |
Mathematics elective |
3 |
Total |
15 |
Semester 8 |
Credits |
MAA 4103 Introduction to Advanced Calculus for Engineers and Physical Scientists 2 |
3 |
Elective |
3 |
Electives (two, at 3000 level or higher, not in major) |
6 |
Mathematics elective |
3 |
Total |
15 |
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Recommended Semester Plan for B.S., Semesters 5-8
Semester 5 |
Credits |
MAA 4211 Advanced Calculus 1 |
3 |
MAS 4301 Abstract Algebra 1 |
3 |
Elective (3000 level or higher, not in major) |
3 |
Foreign language |
4-5 |
Total |
13-14 |
Semester 6 |
Credits |
MAA 4212 Advanced Calculus 2 |
3 |
Elective (3000 level or higher, not in major) |
3-4 |
Elective |
3 |
Foreign language |
3-5 |
Mathematics elective |
3 |
Total |
15-18 |
Semester 7 |
Credits |
MAA 4226 Introduction to Modern Analysis 1 or another math elective |
3 |
MAS 5311 or another math elective |
3 |
Elective (or foreign language if 4-3-3 option) |
3 |
Electives (two, at 3000 level or higher, not in major) |
6 |
Total |
15 |
Semester 8 |
Credits |
MAA 4227 Introduction to Modern Analysis 2 or another math elective |
3 |
Elective (inside or outside major) |
3 |
Electives (two, at 3000 level or higher, not in major) |
6 |
Mathematics elective |
3 |
Total |
15 |
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