mathematics

Mathematics is classified with both the humanities and the sciences. Its position among the humanities is based on the study of mathematics as one of the liberal arts for more than two thousand years. Still an expanding subject, mathematics offers more new and challenging frontiers than at any time in its long history—with many new fields, requiring new techniques and ideas for exploration.

The place of mathematics among the sciences is well founded. The natural sciences have invariably turned to mathematics for techniques needed to explore the consequences of scientific theories. In the last few decades social scientists have increasingly found higher mathematics of value in their training and research.

In recent years graduating math majors have obtained employment in a variety of jobs in business, industry, and governmental agencies and also have obtained teaching positions at the secondary school level (such teaching positions normally require teaching certification). Others have continued their education at the graduate level in mathematics and other fields. Departments in a variety of fields which use mathematics, including some in the social and biological sciences as well as in engineering and the physical sciences, are interested in attracting math majors into their graduate programs. Math Ph.D.'s obtain academic positions at the college and university level and nonacademic positions entailing consulting and research. The math major requirements are flexible enough to allow preparation for various goals.

Students interested in mathematics might also consider the related degree program in applied mathematics, engineering and physics.

DECLARATION

To declare a major in mathematics, a student must have completed MATH 221, MATH 222, and MATH 234  with a 2.500 GPA or better.  Major advisors may waive this requirement for students with alternative coursework and experiences.  Students should meet with a math advisor before declaring in order to discuss course selection and major plan. Majors are provided with math advisor information at the math advising page.

University General Education Requirements

All undergraduate students at the University of Wisconsin–Madison are required to fulfill a minimum set of common university general education requirements to ensure that every graduate acquires the essential core of an undergraduate education. This core establishes a foundation for living a productive life, being a citizen of the world, appreciating aesthetic values, and engaging in lifelong learning in a continually changing world. Various schools and colleges will have requirements in addition to the requirements listed below. Consult your advisor for assistance, as needed. For additional information, see the university Undergraduate General Education Requirements section of the Guide.

General Education
  • Breadth—Humanities/Literature/Arts: 6 credits
  • Breadth—Natural Science: 4 to 6 credits, consisting of one 4- or 5-credit course with a laboratory component; or two courses providing a total of 6 credits
  • Breadth—Social Studies: 3 credits
  • Communication Part A & Part B *
  • Ethnic Studies *
  • Quantitative Reasoning Part A & Part B *

* The mortarboard symbol appears before the title of any course that fulfills one of the Communication Part A or Part B, Ethnic Studies, or Quantitative Reasoning Part A or Part B requirements.

College of Letters & Science Breadth and Degree Requirements: Bachelor of Science (B.S.)

Students pursuing a bachelor of science degree in the College of Letters & Science must complete all of the requirements below. The College of Letters & Science allows this major to be paired with either a bachelor of arts or a bachelor of science curriculum. View a comparison of the degree requirements here.

Bachelor of Science DEGREE REQUIREMENTS

Mathematics Two (2) 3+ credits of intermediate/advanced level MATH, COMP SCI, STAT
Limit one each: COMP SCI, STAT
Foreign Language Complete the third unit of a foreign language
Note: A unit is one year of high school work or one semester/term of college work.
L&S Breadth
  • Humanities, 12 credits: 6 of the 12 credits must be in literature
  • Social Sciences, 12 credits
  • Natural Sciences, 12 credits: must include 6 credits in biological science; and must include 6 credits in physical science
Liberal Arts and Science Coursework 108 credits
Depth of Intermediate/Advanced work 60 intermediate or advanced credits
Major Declare and complete at least one (1) major
Total Credits 120 credits
UW-Madison Experience 30 credits in residence, overall
30 credits in residence after the 90th credit
Minimum GPAs 2.000 in all coursework at UW–Madison
2.000 in intermediate/advanced coursework at UW–Madison

Non–L&S Students PURSUING AN L&S MAJOR

Non–L&S students who have permission from their school/college to pursue an additional major within L&S only need to fulfill the major requirements and do not need to complete the L&S breadth and degree requirements above.  Please note that the following special degree programs are not considered majors so are not available to non-L&S-degree-seeking candidates:  

  • Applied Mathematics, Engineering and Physics (Bachelor of Science–Applied Mathematics, Engineering and Physics)
  • Journalism (Bachelor of Arts–Journalism; Bachelor of Science–Journalism)
  • Music (Bachelor of Music)
  • Social Work (Bachelor of Social Work)

TRADITIONAL & FOCUSED math

There are two ways to complete a Mathematics major:  the traditional or focused path.  The traditional path emphasizes breadth in the field by requiring students to explore at least two areas of advanced mathematics.  The focused path allows students to choose one area of mathematics (e.g., probability) or associated application field (e.g., bioinformatics) and choose a course plan which may combine courses offered by mathematics and other department.  Both programs are flexible by design and course selection should be done with the guidance of an advisor.  In particular, any focused major plan must be approved by an advisor prior to declaration.

REQUIREMENTS FOR THE MAJOR

traditional PATH

The traditional mathematics program requires exposure to at least two areas of mathematics at the advanced undergraduate level. This major is best for students who have a broad interest in many areas of mathematics. Students interested in honors in the major should also choose this option. 

Seven MATH courses are required, as follows:

Linear Algebra (complete one): 13
Linear Algebra (recommended)
Linear Algebra and Differential Equations
Elementary Matrix and Linear Algebra
Topics in Multi-Variable Calculus and Linear Algebra
Analysis, Topology, Algebra (complete two):6
Analysis I
Modern Algebra
Elementary Topology
Math 500-699 (complete one): 23
Numerical Linear Algebra
Numerical Analysis
Ordinary Differential Equations
Analysis I
Analysis II
Linear Optimization
Probability Theory
Mathematical Methods in Data Science
Linear Algebra II
Modern Algebra
Modern Algebra
Elementary Topology
Elementary Geometric and Algebraic Topology
Differential Geometry
Modern Number Theory
Fundamentals of Set Theory
Mathematical Logic
Stochastic Methods for Biology
Mathematical Methods for Structural Biology
Topics in Mathematics Study Abroad
Mathematical Methods for Continuum Modeling in Biology
Mathematical Methods for Systems Biology
Analysis of Partial Differential Equations
Analysis III
Complex Analysis
Introduction to Fourier Analysis
Introduction to Measure and Integration
Introduction to Stochastic Processes
Queuing Theory and Stochastic Modeling
An Introduction to Brownian Motion and Stochastic Calculus
Introduction to Error-Correcting Codes
Senior Honors Thesis
Senior Honors Thesis
Undergraduate Thesis
Undergraduate Thesis
Directed Study
Directed Study
Additional Math above 306 to achieve 7 courses in the major 29
Introduction to Probability and Mathematical Statistics I 3
An Introduction to Probability and Markov Chain Models
Introduction to the Theory of Probability
Introduction to Probability and Mathematical Statistics II
Techniques in Ordinary Differential Equations 4
Linear Algebra and Differential Equations
Topics in Multi-Variable Calculus and Differential Equations
Applied Mathematical Analysis
Applied Mathematical Analysis
Topics in Mathematics Study Abroad
Applied Dynamical Systems, Chaos and Modeling
The Theory of Single Variable Calculus
Introduction to Combinatorial Optimization
Introduction to Cryptography
Introduction to Modern Algebra
Applied Linear Algebra
College Geometry I
Introduction to Number Theory
History of Mathematics
Introduction to Combinatorics
Undergraduate Seminar
Topics in Undergraduate Mathematics
Numerical Linear Algebra
Numerical Analysis
Ordinary Differential Equations
Analysis I
Analysis II
Linear Optimization
Probability Theory
Mathematical Methods in Data Science
Linear Algebra II
Modern Algebra
Modern Algebra
Elementary Topology
Elementary Geometric and Algebraic Topology
Differential Geometry
Modern Number Theory
Fundamentals of Set Theory
Mathematical Logic
Stochastic Methods for Biology
Mathematical Methods for Structural Biology
Topics in Mathematics Study Abroad
Mathematical Methods for Continuum Modeling in Biology
Mathematical Methods for Systems Biology
Analysis of Partial Differential Equations
Analysis III
Complex Analysis
Introduction to Fourier Analysis
Introduction to Measure and Integration
Introduction to Stochastic Processes
Queuing Theory and Stochastic Modeling
An Introduction to Brownian Motion and Stochastic Calculus
Introduction to Error-Correcting Codes
Senior Honors Thesis
Senior Honors Thesis
Undergraduate Thesis
Undergraduate Thesis
Directed Study
Directed Study
Total Credits21

focused path

This program allows students to focus on mathematics associated to one specific area or application. Students interested in a focused mathematics program (e.g., actuarial mathematics, cryptography, etc.) or a dual major program often choose this path.  A mathematics advisor must approve the collection of courses used to complete major requirements prior to major declaration.  

Mathematics requirements:  Six courses required

Linear Algebra (complete one): 13
Linear Algebra
Linear Algebra and Differential Equations
Elementary Matrix and Linear Algebra
Topics in Multi-Variable Calculus and Linear Algebra
Math 500-699 (complete two): 23
Numerical Linear Algebra
Numerical Analysis
Ordinary Differential Equations
Analysis I
Analysis II
Linear Optimization
Probability Theory
Mathematical Methods in Data Science
Linear Algebra II
Modern Algebra
Modern Algebra
Elementary Topology
Elementary Geometric and Algebraic Topology
Differential Geometry
Modern Number Theory
Fundamentals of Set Theory
Mathematical Logic
Stochastic Methods for Biology
Mathematical Methods for Structural Biology
Topics in Mathematics Study Abroad
Mathematical Methods for Continuum Modeling in Biology
Mathematical Methods for Systems Biology
Analysis of Partial Differential Equations
Analysis III
Complex Analysis
Introduction to Fourier Analysis
Introduction to Measure and Integration
Introduction to Stochastic Processes
Queuing Theory and Stochastic Modeling
An Introduction to Brownian Motion and Stochastic Calculus
Introduction to Error-Correcting Codes
Senior Honors Thesis
Senior Honors Thesis
Undergraduate Thesis
Undergraduate Thesis
Directed Study
Directed Study
Additional Math to achieve six MATH courses 29
Introduction to Probability and Mathematical Statistics I 3
An Introduction to Probability and Markov Chain Models
Introduction to the Theory of Probability
Introduction to Probability and Mathematical Statistics II
Techniques in Ordinary Differential Equations 4
Linear Algebra and Differential Equations
Topics in Multi-Variable Calculus and Differential Equations
Applied Mathematical Analysis
Applied Mathematical Analysis
Topics in Mathematics Study Abroad
Applied Dynamical Systems, Chaos and Modeling
The Theory of Single Variable Calculus
Introduction to Combinatorial Optimization
Introduction to Cryptography
Introduction to Modern Algebra
Applied Linear Algebra
College Geometry I
Introduction to Number Theory
History of Mathematics
Introduction to Combinatorics
Undergraduate Seminar
Topics in Undergraduate Mathematics
Numerical Linear Algebra
Numerical Analysis
Ordinary Differential Equations
Analysis I
Analysis II
Linear Optimization
Probability Theory
Mathematical Methods in Data Science
Linear Algebra II
Modern Algebra
Modern Algebra
Elementary Topology
Elementary Geometric and Algebraic Topology
Differential Geometry
Modern Number Theory
Fundamentals of Set Theory
Mathematical Logic
Stochastic Methods for Biology
Mathematical Methods for Structural Biology
Topics in Mathematics Study Abroad
Mathematical Methods for Continuum Modeling in Biology
Mathematical Methods for Systems Biology
Analysis of Partial Differential Equations
Analysis III
Complex Analysis
Introduction to Fourier Analysis
Introduction to Measure and Integration
Introduction to Stochastic Processes
Queuing Theory and Stochastic Modeling
An Introduction to Brownian Motion and Stochastic Calculus
Introduction to Error-Correcting Codes
Senior Honors Thesis
Senior Honors Thesis
Undergraduate Thesis
Undergraduate Thesis
Directed Study
Directed Study
Total Credits15

Applied Concentration Area

Four additional courses focused in an applied area.  

  • The following focus areas have been pre-approved and may be useful for planning purposes, though any collection of four courses approved by a mathematics advisor can be used to fulfill the focus area requirement.
  • Math courses may fulfill the requirements in the focus, but cannot also count for the six mathematics courses required. 
  • Course listed here may have prerequisites.  Students should plan for appropriate prerequisite coursework for approved courses.  Permission to enroll in courses taught outside of MATH is determined by the subject-area department.

Pre-Approved Focus areas:

Actuarial Mathematics
ACT SCI 303 Theory of Interest3
ACT SCI 650
ACT SCI 652
Actuarial Mathematics I
and Loss Models I
6
ACT SCI 651 Actuarial Mathematics II3
or ACT SCI 653 Loss Models II
Total Credits12

Astronomy

Select two from the following:12
Stellar Astrophysics
The Interstellar Medium
Cosmology
Any two 3-credit PHYSICS courses numbered 400 and above, excluding labs
Total Credits12

Atmospheric & Oceanic Studies

ATM OCN 310 Dynamics of the Atmosphere and Ocean I3
ATM OCN 311 Dynamics of the Atmosphere and Ocean II3
ATM OCN 330 Physics of the Atmosphere and Ocean I3
PHYSICS 208 General Physics5
or PHYSICS 248 A Modern Introduction to Physics
Total Credits14

Bio-Informatics

B M I/​COMP SCI  576 Introduction to Bioinformatics3
COMP SCI 300 Programming II3
COMP SCI 400 Programming III3
GENETICS 466 Principles of Genetics3
Total Credits12

Bio-Statistics

STAT 333 Applied Regression Analysis3
STAT/​M E  424 Statistical Experimental Design3
STAT 575 Statistical Methods for Spatial Data3
STAT/​B M I  641 Statistical Methods for Clinical Trials3
STAT/​B M I  642 Statistical Methods for Epidemiology3
Total Credits15

Business

MATH/​COMP SCI/​I SY E/​STAT  525 Linear Optimization3
OTM 410 Operations Research I3
And two from the following:6
Business Analytics I
Business Analytics II
Service Operations Management
Operations Research II
Queuing Theory and Stochastic Modeling
Production Planning and Control
Total Credits12

Chemical Engineering

CBE/​B M E  320 Introductory Transport Phenomena4
CBE 326 Momentum and Heat Transfer Operations3
CBE 426 Mass Transfer Operations3
CBE 470 Process Dynamics and Control3
Total Credits13

Chemistry

CHEM 327 Fundamentals of Analytical Science4
or CHEM 329 Fundamentals of Analytical Science
CHEM 561 Physical Chemistry3
CHEM 562 Physical Chemistry3
PHYSICS 208 General Physics5
or PHYSICS 248 A Modern Introduction to Physics
Total Credits15

Civil and Environmental Engineering

CIV ENGR 310 Fluid Mechanics3
CIV ENGR 311 Hydroscience3
CIV ENGR 340 Structural Analysis I3
And one of the following:3
Structural Analysis II
Wood Structures I
Steel Structures I
Concrete Structures I
Total Credits12

Computational Methods

Complete four courses from:12
Digital System Fundamentals
Programming III
Introduction to Numerical Methods
Introduction to Cryptography
Introduction to Combinatorics
Numerical Linear Algebra
Numerical Analysis
Linear Optimization
Image Processing
Introduction to Artificial Intelligence
Natural Language and Computing
Introduction to Computational Geometry
Computer Graphics
Total Credits12

Cryptography

COMP SCI 300 Programming II3
COMP SCI 400 Programming III3
And two of the following:6
Introduction to Operating Systems
Introduction to Information Security
Digital System Fundamentals
Introduction to Error-Correcting Codes
Total Credits12

Computer Sciences Theory

COMP SCI 520 Introduction to Theory of Computing3
COMP SCI 577 Introduction to Algorithms4
And two of the following:6
Digital System Fundamentals
Programming III
Introduction to Numerical Methods
Introduction to Cryptography
Introduction to Combinatorics
Numerical Linear Algebra
Numerical Analysis
Linear Optimization
Image Processing
Introduction to Artificial Intelligence
Natural Language and Computing
Introduction to Computational Geometry
Computer Graphics
Total Credits13

Ecology

COMP SCI 412 Introduction to Numerical Methods3
ENVIR ST/​A A E/​F&W ECOL  652 Decision Methods for Natural Resource Managers3-4
ZOOLOGY 504 Modeling Animal Landscapes3-5
ZOOLOGY/​BOTANY/​F&W ECOL  460 General Ecology4
ZOOLOGY/​ENTOM  540 Theoretical Ecology3
Total Credits16-19

Ecology, Forestry, Wildlife Ecology

MATH/​STAT  310 Introduction to Probability and Mathematical Statistics II3
COMP SCI 412 Introduction to Numerical Methods3
And two of the following:6
General Ecology
Modeling Animal Landscapes
Theoretical Ecology
Forest Biometry
Principles of Silviculture
General Ecology
Natural Resource Economics
Decision Methods for Natural Resource Managers
Animal Population Dynamics
Total Credits12

Economics

ECON 301 Intermediate Microeconomic Theory3-4
or ECON 311 Intermediate Microeconomic Theory - Advanced Treatment
ECON 302 Intermediate Macroeconomic Theory3-4
or ECON 312 Intermediate Macroeconomic Theory - Advanced Treatment
And two of the following:6-8
Introductory Econometrics
Economics of Growth
Markets with Frictions
Game Theory and Economic Analysis
Economics of Education: Theory and Measurement
Issues in International Finance
Applied Dynamical Systems, Chaos and Modeling
Introduction to Stochastic Processes
Introduction to Probability and Mathematical Statistics II
Total Credits12-16

Electrical and Computer Engineering

E C E 220 Electrodynamics I3
E C E 230 Circuit Analysis4
E C E/​COMP SCI  352 Digital System Fundamentals3
And one of the following:3
Introduction to Cryptography
Introduction to Plasmas
Image Processing
Total Credits13

Engineering Mechanics and Astronautics

E M A 201 Statics3
E M A 202 Dynamics3
E M A 303 Mechanics of Materials3
And one of the following:3
Aerodynamics
Advanced Dynamics
Mechanical Vibrations

Finance

ECON 410 Introductory Econometrics4
or MATH/​STAT  310 Introduction to Probability and Mathematical Statistics II
FINANCE/​ECON  300 Introduction to Finance3
FINANCE/​ECON  320 Investment Theory3
FINANCE 330 Derivative Securities3
Total Credits13

Forestry

F&W ECOL 300 Forest Biometry4
F&W ECOL 410 Principles of Silviculture3
F&W ECOL/​A A E/​ENVIR ST  652 Decision Methods for Natural Resource Managers3-4
F&W ECOL 635 Forest Stand Dynamics1-2
Total Credits11-13

Genetics

GENETICS 466 Principles of Genetics3
GENETICS 564 Genomics and Proteomics3
GENETICS/​MD GENET  565 Human Genetics3
GENETICS/​CHEM  626 Genomic Science2
Total Credits11

Industrial Engineering

I SY E 315 Production Planning and Control3
I SY E 320 Simulation and Probabilistic Modeling3
I SY E 323 Operations Research-Deterministic Modeling3
And one of the following:3
Introduction to Combinatorial Optimization
Introduction to Decision Analysis
Linear Optimization
Advanced Linear Programming
Introduction to Computational Geometry
Introduction to Quality Engineering
Production Systems Control
Simulation Modeling and Analysis
Stochastic Modeling Techniques
Tools and Environments for Optimization
Performance Analysis of Manufacturing Systems
Total Credits12

Mechanical Engineering

M E 340 Dynamic Systems3
M E 361 Thermodynamics3
M E 363 Fluid Dynamics3
M E 364 Elementary Heat Transfer3
Total Credits12

Materials Science

M S & E 330 Thermodynamics of Materials4
M S & E 331 Transport Phenomena in Materials3
M S & E 351 Materials Science-Structure and Property Relations in Solids3
And one of the following:3
Introduction to Chemical Process Modeling
Programming II
Problem Solving Using Computers
Circuit Analysis
Electrical and Electronic Circuits
Introduction to Real-Time Digital Signal Processing
Electric Circuits and Electronics
Statistical Experimental Design
Total Credits13

Nuclear Engineering

N E 305 Fundamentals of Nuclear Engineering3
N E 405 Nuclear Reactor Theory3
N E 408 Ionizing Radiation3
And one of the following:3
Nuclear Reactor Engineering
Electric Circuits and Electronics
Electromagnetic Fields
Electrical and Electronic Circuits
Radiological Physics and Dosimetry
Total Credits12

Physics

PHYSICS 311 Mechanics3
PHYSICS 322 Electromagnetic Fields3
And two from the following:6
Thermal Physics
Atomic and Quantum Physics
Atomic and Quantum Physics
Introduction to Plasmas
Introduction to Quantum Mechanics
Introduction to Particle Physics
Introduction to Atomic Structure
Solid State Physics
Total Credits12

Secondary Education

MATH/​CURRIC  471 Mathematics for Secondary School Teachers3
MATH/​HIST SCI  473 History of Mathematics3
And two from the following:6
Programming II
The Theory of Single Variable Calculus
Introduction to Combinatorics
Differential Geometry
Modern Number Theory
General Physics
Total Credits12

Statistics

STAT 333 Applied Regression Analysis3
STAT/​M E  424 Statistical Experimental Design3
And two from the following:6
Introduction to Probability and Mathematical Statistics I
Introduction to Probability and Mathematical Statistics II
Introduction to Time Series
Introductory Nonparametric Statistics
An Introduction to Sample Survey Theory and Methods
Applied Categorical Data Analysis
Applied Multivariate Analysis
Introduction to Computational Statistics
Introduction to Combinatorics
Special Topics in Statistics
Mathematical Statistics I
Introduction to Statistical Inference
Introduction to Stochastic Processes
Total Credits12

Structural Biology

MATH/​B M I/​BIOCHEM/​BMOLCHEM  606 Mathematical Methods for Structural Biology3
CHEM 327 Fundamentals of Analytical Science4
or CHEM 329 Fundamentals of Analytical Science
CHEM 561 Physical Chemistry3
CHEM 562 Physical Chemistry3
Total Credits13

Systems Biology

BIOCHEM 501 Introduction to Biochemistry3
CHEM 341 Elementary Organic Chemistry3
or CHEM 343 Introductory Organic Chemistry
MATH/​B M I/​BIOCHEM/​BMOLCHEM  609 Mathematical Methods for Systems Biology3
Any one BIOCHEM course numbered 600 and higher3
Total Credits12

Residence and quality of work

2.000 GPA in all MATH and major courses
2.000 GPA on 15 upper-level major credits, taken in residence 1
15 credits in MATH, taken on the UW–Madison campus

Honors in the Major

Students may declare Honors in the Major in consultation with the Mathematics Honors advisor; this should be done by the start of the junior year.

Honors in the Mathematics Major Requirements

To earn Honors in the Major, students must satisfy both the requirements for the major (above) and the following additional requirements:

  • Earn a 3.300 University GPA
  • Earn a 3.300 GPA for all MATH courses, and all courses accepted in the major
  • Complete the following courses, with individual grades of B or better:
Analysis I
and Analysis II (Taken for Honors) 1
Modern Algebra
and Modern Algebra (Taken for Honors) 1
Select at least two more courses from MATH 500 through MATH/​E C E  641, the following will usually be one of the courses: 2
Elementary Topology
Select one of these Capstone projects: 2
Senior Honors Thesis
and Senior Honors Thesis (For a total of 6 credits)
A sequence of two upper-level mathematics courses deemed acceptable by the Mathematics Honors advisor 2

University Degree Requirements 

Total Degree To receive a bachelor's degree from UW–Madison, students must earn a minimum of 120 degree credits. The requirements for some programs may exceed 120 degree credits. Students should consult with their college or department advisor for information on specific credit requirements.
Residency Degree candidates are required to earn a minimum of 30 credits in residence at UW–Madison. "In residence" means on the UW–Madison campus with an undergraduate degree classification. “In residence” credit also includes UW–Madison courses offered in distance or online formats and credits earned in UW–Madison Study Abroad/Study Away programs.
Quality of Work Undergraduate students must maintain the minimum grade point average specified by the school, college, or academic program to remain in good academic standing. Students whose academic performance drops below these minimum thresholds will be placed on academic probation.
  1. State, explain, and apply the principal results, definitions, and theorems of a wide collection of mathematical areas including at least one area of advanced undergraduate mathematics.
  2. Construct and evaluate mathematical proofs and arguments.
  3. Acquire a diverse set of skills and strategies in mathematical reasoning/problem solving.
  4. Use mathematics to model and analyze phenomena in other disciplines.
  5. Write, explain, and present mathematics to both experts and non-­experts.

The Sample Four-Year Plan is a tool to assist you and your advisor(s). Use it along with your DARS report and the Course Guide. You will make your own Four-Year Plan based on your placement scores, incoming credits, and individual interests. As you become involved in athletics, research, student organizations, study abroad, volunteer experiences, and/or work, you might adjust the order of your courses to make room for these experiences. You will likely revise your 4-year plan several times during college.

Traditional Mathematics Major - Bachelor of Arts/Science Degree

Freshman
FallCreditsSpringCredits
MATH 2211,2,35MATH 2222,34
Communication-A (must be completed in first year)3Ethnic Studies (must be completed in first 60 credits)3
Foreign Language if required4Foreign Language if required4
L&S Breadth3L&S Breadth3
 15 14
Sophomore
FallCreditsSpringCredits
MATH Prerequisite (234)2,34MATH Linear Algebra43
Communication-B3-5Intermediate MATH5,63
L&S Breadth3L&S Breadth3
L&S Breadth3L&S Breadth3
Elective3Elective3
 16-18 15
Junior
FallCreditsSpringCredits
Intermediate MATH63Intermediate MATH63
L&S Breadth3Advanced MATH73
L&S Breadth3L&S Breadth3
Elective3L&S Breadth3
Elective3Elective3
 15 15
Senior
FallCreditsSpringCredits
Advanced MATH73L&S Breadth3
L&S Breadth3Elective3
Elective3Elective3
Elective3Elective3
Elective3Advanced MATH73
 15 15
Total Credits 120-122

Focused Mathematics Major - Bachelor of Arts/Science Degree

Note:  approval of math and application courses required.

Freshman
FallCreditsSpringCredits
MATH 2211,2,35MATH 2222,34
MATH Option 2 Applied Concentration Area Course Prerequisite or L&S Bredth3MATH Major Option 2 Applied Concentration Area Course Prerequisite or L&S Breadth3
Communication-A (must be completed in first year)3Ethnic Studies (must be completed in first 60 credits)3
Foreign Language if required4Foreign Language if required for the BA4
 15 14
Sophomore
FallCreditsSpringCredits
MATH 2342,34MATH Linear Algebra43
MATH Option 2 Applied Concentration Area Course Prerequisite or L&S Breadth3Intermediate MATH5,63
Communication-B3-5MATH Major Option 2 Applied Concentration Area Course Prerequisite or L&S Breadth3
L&S Breadth3L&S Breadth3
Elective3L&S Breadth3
 16-18 15
Junior
FallCreditsSpringCredits
Intermediate MATH63Intermediate MATH63
MATH Major Option 2 Applied Concentration Area Course83MATH Major Option 2 Applied Concentration Area Course83
L&S Breadth3L&S Breadth3
L&S Breadth3L&S Breadth3
Elective3Elective3
 15 15
Senior
FallCreditsSpringCredits
Advanced MATH73Advanced MATH73
MATH Major Option 2 Applied Concentration Area Course83MATH Major Option 2 Applied Concentration Area Course83
L&S Breadth or Elective3L&S Breadth or Elective3
L&S Breadth or Elective3L&S Breadth or Elective3
Elective3Elective3
 15 15
Total Credits 120-122

L&S requires all students to complete at least 60 credits at the Intermediate or Advanced level.

Students must declare a major by the time they reach Senior standing (86 credits).

Please refer to the Requirements tab in Guide for additional College of Letters & Science Breadth and Degree Requirements as well as Residence and Quality of Work requirements for the major.

Advising

Students who are interested in the math major should visit a faculty advisor. During the fall and spring semesters several faculty advisors have regular drop-in office hours. The current list of advisors and the schedule of the office hours can be found at the Math advising page. During the winter break and the summer semester there is no drop-in advising, students should contact one of the advisors to set up an appointment. 

For advice on college algebra, pre-calculus, and calculus, see the placement advising pages of the department. 

Transition courses

Students are strongly recommended to include one of the following courses in their major program before moving into MATH 500 and higher.

Linear Algebra
Topics in Multi-Variable Calculus and Linear Algebra
The Theory of Single Variable Calculus

Graduate Study

Students preparing for graduate work in mathematics should take the following courses:

MATH 341 Linear Algebra3
or MATH 375 Topics in Multi-Variable Calculus and Linear Algebra
MATH 521 Analysis I3
MATH 522 Analysis II3
MATH 541 Modern Algebra3
MATH 542 Modern Algebra3
MATH 551 Elementary Topology3
or MATH 561 Differential Geometry
Select at least two other courses at the 500 level or higher

Students who plan to enter a mathematics Ph.D. program should acquire a reading knowledge of at least one foreign language as early as possible. For mathematics study, the most useful languages are French, German, and Russian.

Careers

In recent years graduating math majors have obtained employment in a variety of jobs in business, industry, and governmental agencies and also have obtained teaching positions at the secondary school level (such teaching positions normally require teaching certification). Others have continued their education at the graduate level in mathematics and other fields. Departments in a variety of fields which use mathematics, including the social and biological sciences as well as in engineering and the physical sciences, are interested in attracting math majors into their graduate programs. Math Ph.D.'s obtain academic positions at the college and university level and nonacademic positions entailing consulting and research. The math major requirements are flexible enough to allow preparation for various goals.

L&S career resources

SuccessWorks at the College of Letters & Science helps students leverage the academic skills learned in their major, certificates, and liberal arts degree; explore and try out different career paths; participate in internships; prepare for the job search and/or graduate school applications; and network with professionals in the field (alumni and employers). In short, SuccessWorks helps students in the College of Letters & Science discover themselves, find opportunities, and develop the skills they need for success after graduation.

SuccessWorks can also assist students in career advising, résumé and cover letter writing, networking opportunities, and interview skills, as well as course offerings for undergraduates to begin their career exploration early in their undergraduate career. 

Students should set up their profiles in Handshake to take care of everything they need to explore career events, manage their campus interviews, and apply to jobs and internships from 200,000+ employers around the country.

Faculty

Professors Angenent, Arinkin, Assadi, Bolotin, Boston, Caldararu, Craciun, Denissov, Ellenberg, Feldman, Gong, Jin, Lempp, Mari-Beffa, Maxim, Miller, Mitchell, Paul, Roch, Seeger, Seppalainen, Smith, Terwilliger, Thiffeault, Valko, Viaclovsky, Waleffe, Yang.

Associate Professors Anderson, Gurevich, Stechmann, Street, Kent.

Assistant Professors Andrews, Dymarz, Erman, Kim, Marshall, Sam, Spagnolie, Stovall, Tran, B. Wang, L. Wang, M. Matchett Wood, P. Matchett Wood, Li.

Academic staff

Anzaldo (Precalculus Coordinator), Benguria-Andrews (Calculus Coordinator), Hanhart (Associate Director of Undergraduate Studies), Kwon (Math 13X Coordinator), Malekpour (Director of the Instructional Excellence Program, WISCEL), Rivard (Placement and Enrollment Coordinator)