Bachelor of Science

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, Mathematics majors find themselves in demand by employers for careers in a wide spectrum of fields.

About this Program

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

The Department of Mathematics offers two undergraduate degree programs in mathematics:

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. 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.

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, with the exception of MAS 4105 for students in the B.S. specialization, which requires a minimum grade of B.

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. 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 B.A. or B.S. 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 Science

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.

Coursework

Required Coursework for Both Degrees
Select one:4
Analytic Geometry and Calculus 2
Calculus 2 for Advanced Placement Students
Honors Calculus 2
MAC 2313Analytic Geometry and Calculus 34
or MAC 3474 Honors Calculus 3
MAP 2302Elementary Differential Equations3
MHF 3202Sets and Logic3
MAS 4105Linear Algebra 14
MAS 4301Abstract Algebra 13
Additional Required Coursework for B.S.
MAA 4211
MAA 4212
Real Analysis and Advanced Calculus 1
and Real Analysis and Advanced Calculus 2 1
6
Select four electives, 12 credits minimum, from the approved electives; at least three must be a course offered by the Department of Mathematics at the 4000 level or above12
Total Credits39
1

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, and either Advanced Calculus 1 and 2 or Advanced Calculus for Engineers and Physical Sciences 1 and 2. A combination of MAA 4211 and MAA 4103 is permissible for students in the B.A. track.

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 B.S.

Students who want to pursue graduate study in a Ph.D. program in mathematics should complete MAS 4301 and MAA 4211/MAA 4212 by the end of their junior year. They should include MAS 5311 and MAA 4226 among their electives, and they are encouraged to take more than four electives.

Graduate tuition fees will apply for MAS 5311.

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

Semester 2

Semester 3

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 minimum grade of B and 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 4211 or MAA 4226
  • 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.

Plan of Study Grid
Semester OneCredits
MAC 2311 Analytic Geometry and Calculus 1 (Critical Tracking; State Core Gen Ed Mathematics) 4
Quest 1 (Gen Ed Humanities) 3
State Core Gen Ed Biological or Physical Sciences 3
State Core Gen Ed Social and Behavioral Sciences 3
 Credits13
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
State Core Gen Ed Humanities 3
Elective 3
 Credits16
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
 Credits17
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
 Credits16
Semester Five
MAA 4211 Real Analysis and Advanced Calculus 1 (Critical Tracking) 3
MAS 4301 Abstract Algebra 1 3
Elective (3000 level or higher, not in major) 3
Foreign language 4-5
 Credits13-14
Semester Six
MAA 4212 Real Analysis and Advanced Calculus 2 3
Mathematics elective (Critical Tracking) 3
Foreign language 3-5
Elective (3000 level or higher, not in major) 3-4
Elective 3
 Credits15-18
Semester Seven
MAA 4226 Introduction to Modern Analysis 1 (or another math elective; Critical Tracking) 3
MAS 5311 Introductory Algebra I (or another math elective) 3
Elective or foreign language if 4-3-3 option 3
Electives (3000 level or higher, not in major) 6
 Credits15
Semester Eight
MAA 4227 Introduction to Modern Analysis 2 (or another math elective) 3
Mathematics elective (Critical Tracking) 3
Elective (inside or outside major) 3
Electives (3000 level or higher, not in major) 6
 Credits15
 Total Credits120
1

One General Education option taken this term must be a Quest 2 course.


MAA 4226Introduction to Modern Analysis 13
MAA 4227Introduction to Modern Analysis 23
MAA 4402Functions of a Complex Variable3
MAD 3107Discrete Mathematics3
MAD 4203Introduction to Combinatorics 13
MAD 4204Introduction to Combinatorics 23
MAD 4401Introduction to Numerical Analysis3
MAP 4305Differential Equations for Engineers and Physical Scientists3
MAP 4341Elements of Partial Differential Equations3
MAP 4413Fourier Analysis3
MAP 4484Modeling in Mathematical Biology3
MAP 4102Probability Theory and Stochastic Processes 23
MAS 4115Linear Algebra for Data Science3
MAS 4124Introduction to Numerical Linear Algebra3
MAS 4203Introduction to Number Theory3
MAS 4302Abstract Algebra 23
MAT 4930Special Topics in Mathematics (only if approved by undergraduate coordinator)1-3
MHF 4102Elements of Set Theory3
MHF 4203Foundations of Mathematics3
MTG 3212Geometry3
MTG 4302Elements of Topology 13
MTG 4303Elements of Topology 23
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
Operations Research 1
Operations Research 2
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
Regression Analysis
Design of Experiments
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 your responses to certain examination questions in upper-division courses that are required for your degree.
  • Complete requirements for the baccalaureate degree, as determined by faculty.

Students in the Major Will Learn to

Student Learning Outcomes (SLOs)

Content

  1. 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

  1. Identify correct mathematical arguments in abstract mathematical systems.
  2. Develop and analyze mathematical models of scientific problems.

Communication

  1. 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