About this Program
- College: Liberal Arts and Sciences
- Degrees: Bachelor of Arts | Bachelor of Science
- Credits for Degree: 120
- More Info
To graduate with this major, students must complete all university, college, and major requirements.
Department Information
Graduates from the Department of Mathematics might take a job that uses their math major in an area like statistics, biomathematics, operations research, actuarial science, mathematical modeling, cryptography, or mathematics education. Or they might continue into graduate school leading to a research career. Professional schools in business, law, and medicine appreciate mathematics majors because of the analytical and problem solving skills developed in the math courses.
Website
CONTACT
Email | 352.294.2350
358 LITTLE HALL
GAINESVILLE FL 32611
Map
Curriculum
Degrees
Bachelor of Arts
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.
Bachelor of Science
Intended for students who wish to pursue graduate study in mathematics as well as for other strong students with a deep interest 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. Students pursuing the BA degree have greater flexibility in their choice of electives, facilitating the possibility of a double-major with another scientific discipline.
A minimum of 39 credits of mathematics and mathematics-approved electives is required for each degree. All coursework for the major must be completed with minimum grades of C.
Relevant Minors and 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. In addition, the UFTeach program offers a minor in mathematics teaching.
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UFTeach Program
There is a severe shortage of qualiﬁed high school mathematics teachers in Florida and nationwide. Students interested in entering this high-demand profession should see a departmental advisor about the UFTeach program. Mathematics majors in this program complete the requirements for the UFTeach minor in mathematics, as well as those for the BA or BS in mathematics. These students graduate with all the coursework and preparation the State of Florida requires for professional certification as a high school mathematics teacher.
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Research
Research and scholarly opportunities are described on the mathematics website under Opportunities for Undergraduates.
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Combination Degree Programs
Mathematics majors who complete the requirements for major by the end of the junior year are eligible for the combination-degree program. Students in this program take the graduate sequences MAA 5228 and MAA 5229 and MAS 5311 and MAS 5312 in their senior year. These 12 credits, which apply toward the undergraduate degree, will then also apply toward a master’s degree in mathematics if the student is admitted to the graduate program. The student should successfully complete this degree with one full-time year of graduate school following receipt of a bachelor’s degree.
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Bachelor of Arts
The Bachelor of Arts | BA 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
Code | Title | Credits |
---|---|---|
Required Coursework for Both Degrees | ||
MAC 2312 | Analytic Geometry and Calculus 2 | 4 |
or MAC 3473 | Honors Calculus 2 | |
MAC 2313 | Analytic Geometry and Calculus 3 | 4 |
or MAC 3474 | Honors Calculus 3 | |
MAP 2302 | Elementary Differential Equations | 3 |
MHF 3202 | Sets and Logic | 3 |
MAS 4105 | Linear Algebra 1 | 4 |
MAS 4301 | Abstract Algebra 1 | 3 |
Additional Required Coursework for BA | ||
Select one sequence: | 6 | |
Introduction to Real Analysis 1 and Introduction to Real Analysis 2 ^{1} | ||
Introduction to Real Analysis 1 and Functions of a Complex Variable ^{1} | ||
Real Analysis and Advanced Calculus 1 and Introduction to Real Analysis 2 ^{2} | ||
Real Analysis and Advanced Calculus 1 and Real Analysis and Advanced Calculus 2 ^{2} | ||
Real Analysis and Advanced Calculus 1 and Functions of a Complex Variable ^{2} | ||
Select four electives, 12 credits minimum, from the approved electives; at least one must be a course offered by the Department of Mathematics at the 4000 level or above | 12 | |
Total Credits | 39 |
- ^{ 1 }
If this option is selected, MAA 4402 or MAA 5404 cannot be used to satisfy the mathematics elective requirement.
- ^{ 2 }
Students must earn a minimum grade of B in MAS 4105 before taking MAA 4211.
The mathematics major is expected to take the following upper-division core courses at UF: Linear Algebra, Abstract Algebra, Introduction to Real Analysis 1 (or Real Analysis and Advanced Calculus 1), and Introduction to Real Analysis 2 (or Real Analysis and Advanced Calculus 2).
These courses are common to all math majors and most clearly define the experience of the mathematics major at UF.
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/PHY 2049 or the sequence PHY 2060/PHY 2061. Math majors should also take no mathematics course at the 3000 level or below that is not on the lists of core courses or approved electives, except with advisor approval. Students who want to pursue careers in applied mathematics are urged to take STA 4321/STA 4322 and learn a scientific programming language.
Recommended Coursework for BA
BA students can use their electives choices creatively. By choosing courses in statistics, data science, computer science, physics, electrical and computer engineering, and industrial engineering from the list of approved electives, Mathematics BA 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 3212, MAA 4402 and STA 4321 among their electives.
Critical Tracking records each student’s progress in courses that are required for progress toward each major. Please note the critical-tracking requirements below on a per-semester basis.
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.
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 with a 2.5 GPA required for all critical-tracking courses
- 2.0 UF GPA required
Semester 5
- Complete MAS 4105 with a 2.5 GPA required for all critical-tracking courses
- 2.0 UF GPA required
Semester 6
- Complete at least 1 3000/4000 mathematics elective
- 2.0 UF GPA required
Semester 7
- Complete MAA 4102 or MAA 4211
- Complete at least 2 3000/4000 mathematics electives
- 2.0 UF GPA required
Semester 8
- Complete all remaining mathematics major requirements
- 2.0 UF GPA required
The semester plans below are sample programs; they may be adjusted to reflect background and goals. Students should consult a department advisor in 358 Little Hall early to plan their programs.
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).
To remain on track, students must complete the appropriate critical-tracking courses, which appear in bold. These courses must be completed by the terms as listed above in the Critical Tracking criteria.
This semester plan represents an example progression through the major. Actual courses and course order may be different depending on the student's academic record and scheduling availability of courses. Prerequisites still apply.
Semester One | Credits | |
---|---|---|
Quest 1 (Gen Ed Humanities) | 3 | |
MAC 2311 | Analytic Geometry and Calculus 1 (Critical Tracking; State Core Gen Ed Mathematics) | 4 |
State Core Gen Ed Biological or Physical Sciences | 3 | |
State Core Gen Ed Social and Behavioral Sciences | 3 | |
Credits | 13 | |
Semester Two | ||
MAC 2312 | Analytic Geometry and Calculus 2 (Critical Tracking; Gen Ed Mathematics) | 4 |
Gen Ed Biological or Physical Sciences (area not taken in semester 1) | 3 | |
State Core Gen Ed Composition; Writing Requirement | 3 | |
Elective | 3 | |
State Core Gen Ed Humanities | 3 | |
Credits | 16 | |
Semester Three | ||
MAC 2313 | Analytic Geometry and Calculus 3 (Critical Tracking; Gen Ed Mathematics) | 4 |
MHF 3202 | Sets and Logic (Critical Tracking) | 3 |
Gen Ed Biological or Physical Sciences ^{1} | 3 | |
Gen Ed Humanities | 3 | |
Science laboratory (Gen Ed Physical or Biological Sciences) | 1 | |
Gen Ed Social and Behavioral Sciences ^{1} | 3 | |
Credits | 17 | |
Semester Four | ||
MAP 2302 | Elementary Differential Equations (Gen Ed Mathematics) | 3 |
MAS 4105 | Linear Algebra 1 (Critical Tracking) | 4 |
Gen Ed Biological or Physical Sciences (area not taken in semester 3) | 3 | |
Gen Ed Composition; Writing Requirement | 3 | |
Gen Ed Social and Behavioral Sciences | 3 | |
Credits | 16 | |
Semester Five | ||
MAS 4301 | Abstract Algebra 1 | 3 |
Mathematics elective | 3 | |
Elective (3000 level or higher, not in major) | 3 | |
Foreign language course | 4-5 | |
Credits | 13-14 | |
Semester Six | ||
Mathematics elective (Critical Tracking) | 3 | |
Foreign language course | 3-5 | |
Electives (3000 level or higher, not in major) | 6 | |
Elective | 3 | |
Credits | 15-17 | |
Semester Seven | ||
MAA 4102 | Introduction to Real Analysis 1 (Critical Tracking) ^{2} | 3 |
Mathematics elective (Critical Tracking) | 3 | |
Elective or foreign language if 4-3-3 option | 3 | |
Electives (3000 level or higher, not in major) | 6 | |
Credits | 15 | |
Semester Eight | ||
MAA 4103 | Introduction to Real Analysis 2 ^{2} | 3 |
Mathematics elective (Critical Tracking) | 3 | |
Electives (3000 level or higher, not in major) | 6 | |
Elective | 3 | |
Credits | 15 | |
Total Credits | 120 |
- ^{ 1 }
One General Education option taken this term must be a Quest 2 course.
- ^{ 2 }
See other options on the overview tab.
Code | Title | Credits |
---|---|---|
MAA 4226 | Introduction to Modern Analysis 1 | 3 |
MAA 4227 | Introduction to Modern Analysis 2 | 3 |
MAA 4402 | Functions of a Complex Variable | 3 |
MAD 3107 | Discrete Mathematics | 3 |
MAD 4203 | Introduction to Combinatorics 1 | 3 |
MAD 4204 | Introduction to Combinatorics 2 | 3 |
MAD 4301 | Graph Theory | 3 |
MAD 4401 | Introduction to Numerical Analysis | 3 |
MAP 4305 | Differential Equations for Engineers and Physical Scientists | 3 |
MAP 4341 | Elements of Partial Differential Equations | 3 |
MAP 4413 | Fourier Analysis | 3 |
MAP 4484 | Modeling in Mathematical Biology | 3 |
MAP 4102 | Probability Theory and Stochastic Processes 2 | 3 |
MAS 4115 | Linear Algebra for Data Science | 3 |
MAS 4203 | Introduction to Number Theory | 3 |
MAS 4302 | Abstract Algebra 2 | 3 |
MAT 4930 | Special Topics in Mathematics (only if approved by undergraduate coordinator) | 1-3 |
MHF 4102 | Elements of Set Theory | 3 |
MHF 4203 | Foundations of Mathematics | 3 |
MTG 3212 | Geometry | 3 |
MTG 4302 | Elements of Topology 1 | 3 |
MTG 4303 | Elements of Topology 2 | 3 |
Any course offered by the mathematics department at the 5000 level or above and any of the following courses offered outside the mathematics department: | ||
Introduction to Computer Organization | ||
Data Structures and Algorithm | ||
Operating Systems | ||
Circuits 2 | ||
Introduction to Signals and Systems | ||
Data Science for ECE | ||
Operations Research 1 | ||
Operations Research 2 | ||
Advanced Topics in Operations Research | ||
Enriched Modern Physics | ||
Mechanics 1 | ||
Electromagnetism 1 | ||
Thermal Physics 1 | ||
Mechanics 2 | ||
Electromagnetism 2 | ||
Optics 1 | ||
Statistical Physics | ||
Introductory Quantum Mechanics 1 | ||
Introductory Quantum Mechanics 2 | ||
Introduction to Biological Physics | ||
Regression Analysis | ||
Design of Experiments | ||
Statistical Learning in R | ||
Statistical Computing in R | ||
Introduction to Probability | ||
Introduction to Statistics Theory | ||
Introduction to Time Series and Forecasting |
The major in Mathematics enables students to develop proficiency in calculus, differential equations, advanced calculus, linear algebra and abstract algebra, and expose them to several other mathematical areas beyond these core fields. Students will learn to read and to construct mathematical proofs, to reason in abstract mathematical systems, and to use mathematical models. Students will also acquire the ability to read new mathematics and to formulate mathematical models and arguments.
Before Graduating Students Must
- Be evaluated on their responses to certain examination questions in upper-division courses that are required for their degree.
- Complete requirements for the baccalaureate degree, as determined by faculty.
Students in the Major Will Learn to
Student Learning Outcomes | SLOs
Content
- Bachelor of Arts: Explain conceptual and computational competency in core mathematics: calculus, differential equations, real analysis, linear algebra and abstract algebra.
Bachelor of Science: Explain conceptual and computational competency in core mathematics: calculus, differential equations, advanced calculus, linear algebra and abstract algebra.
Critical Thinking
- Identify correct mathematical arguments in abstract mathematical systems.
- Develop and analyze mathematical models of scientific problems.
Communication
- Develop and write correct mathematical arguments.
Curriculum Map
I = Introduced; R = Reinforced; A = Assessed
Courses | SLO 1 | SLO 2 | SLO 3 | SLO 4 |
---|---|---|---|---|
Bachelor of Arts | ||||
MAA 4102 | I, R, A | I, R, A | I, R, A | I, R, A |
MAA 4103 | I, R, A | I, R, A | I, R, A | I, R, A |
MAS 4105 | I, R, A | I, R, A | I, R, A | I, R, A |
MAS 4301 | I, R, A | I, R, A | I, R, A | I, R, A |
Bachelor of Science | ||||
MAS 4105 | I, R, A | I, R, A | I, R, A | I, R, A |
MAA 4211 | I, R, A | I, R, A | I, R, A | I, R, A |
MAA 4212 | I, R, A | I, R, A | I, R, A | I, R, A |
MAS 4301 | I, R, A | I, R, A | I, R, A | I, R, A |
Assessment Types
- Exams