
Note: This document has been updated to reflect the Fall 2014 changes to the BA, BSMath, and minor programs in Mathematics. Students who entered the University before Fall 2014 should consult with their department and/or college advisers.
 The Mathematics Major
 Introduction
 General Information
 LowerDivision
 UpperDivision
 Additional BA requirements
 Additional BSMath requirements
 Programs
 The BA subplans
 No specialization
 Actuarial Science
 Computer Applications
 Mathematical Biology
 Mathematics Education
 The BSMath subplans
 No Specialization
 Actuarial Science
 Computer Applications
 Mathematical Biology
 Mathematics Education
 Preparation for graduate study in mathematics
 The Mathematics Minor
 The Mathematics Major
 Introduction
Mathematics is a subject with many facets and many applications. The School of Mathematics offers BA and BSMath degree programs that allow many choices. We offer specializations in actuarial mathematics, computer applications, mathematical biology, and mathematics education. However, many of our math majors do not choose a specialization, and, of course, some students make course choices that prepare them well for graduate study in pure and applied mathematics. We also offer courses in mathematics that apply to industry and courses that could lead to careers in business or finance.
Here are the main differences between the BA, offered through the College of Liberal Arts (CLA), and the BSMath, offered through the College of Science and Engineering (CSE) and the requirements to be admitted to the major:
 CLA students must take six upperdivision MATH courses, complete a senior project, and take a foreign language. To declare a Major in Mathematics, students must have successfully completed 3 courses:
 MATH 1271/1371/1571H Calculus I
 MATH 1272/1372/1572H Calculus II
 One 2xxx level Calculus course:
 2243/2373/2574H (Linear Algebra & Differential Equations) or
 2263/2374/2573H (Multivariable Calculus)
This document addresses only the major requirements; it does not discuss liberal education requirements or the CLA foreign language requirement.
All courses that are in the major or are prerequisite to courses in the major must be passed with a grade of C or better.
 General information
This section describes elements of the major that are common to the various subplans, which are detailed in the Programs section.
 Lowerdivision
All mathematics majors must complete one of the following two introductory sequences:
Sequence 1:
 MATH 1271/1371/1571H Calculus I
 MATH 1272/1372/1572H Calculus II
 MATH 2243/2373/2574H Linear algebra and differential equations
 MATH 2263/2374/2573H Multivariable calculus and vector analysis
 MATH 2283/3283W Sequences, series and foundations
Sequence 2 (Honors students only):
 Credit equivalent to Calculus I and II (typically Advanced Placement)
 MATH 3592H Honors Mathematics I
 MATH 3593H Honors Mathematics II
Note that MATH 3283W counts as an upperdivision writing intensive course toward the liberal education writing requirement but NOT as an upperdivision MATH course toward the major.
 Upperdivision
CLA math majors must take six upperdivision MATH courses, and CSE math majors must take eight. Among these, students must choose two algebra courses and two analysis courses from the following lists:
Algebra List
Of the two algebra courses, at least one must be chosen from the Theoretical Algebra list:
Theoretical Algebra
 MATH 4281 Introduction to Modern Algebra
 MATH 5248 Cryptology and Number Theory
 MATH 5251 Errorcorrecting Codes, Finite Fields, Algebraic Curves
 MATH 5285H Honors: Fundamental Structures of Algebra I
 MATH 5286H Honors: Fundamental Structures of Algebra II
 MATH 5385 Introduction to Computational Algebraic Geometry
Applied Algebra
 MATH 4242 Applied Linear Algebra
 MATH 5705 Enumerative Combinatorics
 MATH 5707 Graph Theory and Nonenumerative Combinatorics
 MATH 5711 Linear Programming and Combinatorial Optimization
 MATH 5485 Introduction to Numerical Methods I
Analysis List
 MATH 4567 Fourier Analysis
 MATH 4603 Advanced Calculus I
 MATH 4604 Advanced Calculus II
 MATH 5486 Introduction to Numerical Methods II
 MATH 5525 Introduction to Ordinary Differential Equations
 MATH 5535 Dynamical Systems and Chaos
 MATH 5583 Complex Analysis
 MATH 5587 Elementary Partial Differential Equations I
 MATH 5588 Elementary Partial Differential Equations II
 MATH 5615 Honors: Introduction to Analysis I
 MATH 5616 Honors: Introduction to Analysis II
 MATH 5651 Basic Theory of Probability and Statistics
 STAT 5101 (equivalent to MATH 5651)
 MATH 5652 Stochastic Processes
 MATH 5654 Prediction and Filtering
Note that MATH 3283W, 4067W, 49xx, and 59xx do not count toward the upperdivision MATH course requirement.
STAT 5102 can count toward the upperdivision MATH course requirement, but not the Analysis requirement.
 Additional BA requirements
CLA math majors must complete a Senior Project, either MATH 4995 or MATH 4997W. See a math faculty adviser well in advance of the senior year to formulate a plan for completing the project. An information sheet, application form, template, and timeline for the Senior Project can be found here: http://www.math.umn.edu/undergrad/forms.
 Additional BSMath requirements
 Programs
Each subplan below, including "no specialization," represents a specific route toward satisfying the general requirements described above.
 The BA subplans
 No specialization
 Actuarial Science
 One course from the Theoretical Algebra list
 MATH 4242 Applied Linear Algebra
 MATH 5651 Basic Theory of Probability and Statistics or STAT 5101
 MATH 5652 Stochastic Processes
 MATH 4065 Theory of Interest
 MATH 5067 Actuarial Mathematics I
 MATH 5068 Actuarial Mathematics II
 One CSCI course
 ECON 1101, 1102, 3101, 4261
 ACCT 2050, FINA 3001
 Two of INS 4100, 4101, 4200
 Recommended: MATH 4067W Actuarial Mathematics in Practice
 Computer Applications
 One course from the Theoretical Algebra list
 MATH 5485 Numerical Methods I
 MATH 5486 Numerical Methods II
 One course from the Analysis list
 MATH 5165 Mathematical Logic I
 One additional computingrelated MATH course (4242, 5166, 5248, 5251, 5285H, 5286H, 5385, 5705, 5707, 5711)
 Two 1xxxlevel CSCI courses (for example 11031913 or 11131913 or 11331933)
 CSCI 2011/2011H
 Two upperdivision CSCI courses (4011, 4041, 4107, 4511W, 5107, 5108, 5403, 5421, 5451, 5511, 5512, 5521)
 Mathematical Biology
 Mathematical Biology: Genomics
 MATH 4428 Mathematical Modeling
 One course from the Theoretical Algebra list
 MATH 4242 Applied Linear Algebra
 MATH 5525 Intro to Ordinary Differential Equations or MATH 5535 Dynamical Systems & Chaos
 MATH 5651 Basic Theory of Probabilty and Statistics or STAT 5101
 One additional upperdivision MATH course (for example: MATH 5445 Mathematical Analysis of Biological Networks)
 CSCI 5461 or 5481 (note the CSCI prerequisites for these courses)
 BIOL 1009/1009H General Biology (regular/Honors)
 GCD 3022 Genetics
 One of the following: (note the prerequisites for PBIO, EEB, GCD courses)
 PBIO 5301 Plant Genomics
 EEB 5042 Quantitative Genetics
 GCD 4143 Human Genetics
 GCD 4151 Molecular Biology of Cancer
 CSCI 5461/5481 (the one not taken above)
 MATH 5445 Mathematical Analysis of Biological Networks (recommended)
 Mathematical Biology: Physiology
 MATH 4428 Mathematical Modeling
 One course from the Theoretical Algebra list
 MATH 4242 Applied Linear Algebra
 MATH 5525 Intro to Ordinary Differential Equations or MATH 5535 Dynamical Systems & Chaos
 MATH 5651 Basic Theory of Probability and Statistics or STAT 5101
 MATH 5445 Mathematical Analysis of Biological Networks or MATH 5447 Theoretical Neuroscience
 BIOL 1009/1009H General Biology (regular/Honors)
 PHSL 3061 Principles of Physiology
 PHYS 1201W and PHYS 1202W
 CHEM 1061, 1065, 1062, 1066
 One of the following: (note the prerequisites for PHSL and NSC courses)
 PHSL 4700 (was BIOL 4700) Cell Physiology
 PHSL 5444 Muscle
 NSC 5202 Theoretical Neuroscience: Systems and Information Processing (note the prerequisites for this course)
 MATH 5445 or MATH 5447 (the one not taken above)
 Mathematics Education
 MATH 4281 or MATH 5248 or MATH 5251 or MATH 5285H
 MATH 4707 or MATH 5705 or MATH 5707 (Note: MATH 4707 Introduction to Combinatorics and Graph Theory satisfies the Algebra requirement only for the Math Ed specialization.)
 MATH 5335 Geometry I
 MATH 4653 Elementary Probability (MATH 5651 or STAT 5101 may be substituted.)
 Two courses from the Analysis list
 The BSMath subplans
 No specialization
 Actuarial Science
 One course from the Theoretical Algebra list
 MATH 4242 Applied Linear Algebra
 MATH 5651 Basic Theory of Probability and Statistics or STAT 5101
 MATH 5652 Stochastic Processes
 MATH 4065 Theory of Interest
 MATH 5067 Actuarial Mathematics I
 MATH 5068 Actuarial Mathematics II
 One additional upperdivision MATH course (recommended: MATH 4428, 5485, 5075, 5076)
 ECON 1101, 1102, 3101, 4261 (note: 3101 and 4261 satisfy the technical elective requirement)
 ACCT 2050, FINA 3001
 Two of INS 4100, 4101, 4200
 Recommended: MATH 4067W Actuarial Mathematics in Practice
 Computer Applications
 One course from the Theoretical Algebra list
 MATH 5485 Numerical Methods I
 MATH 5486 Numerical Methods II
 One course from the Analysis list
 MATH 5165 Mathematical Logic I
 One additional computingrelated MATH course (4242, 5166, 5248, 5251, 5285H, 5286H, 5385, 5705, 5707, 5711)
 Two additional upperdivision MATH courses
 Two 1xxxlevel CSCI courses (for example 11031913 or 11131913 or 11331933)
 CSCI 2011/2011H
 Two upperdivision CSCI courses (4011, 4041, 4107, 4511W, 5107, 5108, 5403, 5421, 5451, 5511, 5512, 5521), which satisfy the technical elective requirement
 Mathematical Biology
 Mathematical Biology: Genomics
 MATH 4428 Mathematical Modeling
 One course from the Theoretical Algebra list
 MATH 4242 Applied Linear Algebra
 MATH 5525 Intro to Ordinary Differential Equations or MATH 5535 Dynamical Systems & Chaos
 MATH 5651 Basic Theory of Probabilty and Statistics or STAT 5101
 Three additional upperdivision MATH courses (for example: MATH 5445 Mathematical Analysis of Biological Networks)
 CSCI 5461 or 5481 (note the CSCI prerequisites for these courses)
 BIOL 1009/1009H General Biology (regular/Honors)
 GCD 3022 Genetics
 One of the following: (note the prerequisites for PBIO, EEB, GCD courses)
 PBIO 5301 Plant Genomics
 EEB 5042 Quantitative Genetics
 GCD 4143 Human Genetics
 GCD 4151 Molecular Biology of Cancer
 CSCI 5461/5481 (the one not taken above)
 MATH 5445 Mathematical Analysis of Biological Networks (recommended)
 Mathematical Biology: Physiology
 MATH 4428 Mathematical Modeling
 One course from the Theoretical Algebra list
 MATH 4242 Applied Linear Algebra
 MATH 5525 Intro to Ordinary Differential Equations or MATH 5535 Dynamical Systems & Chaos
 MATH 5651 Basic Theory of Probability and Statistics or STAT 5101
 MATH 5445 Mathematical Analysis of Biological Networks or MATH 5447 Theoretical Neuroscience
 Two additional upperdivision MATH courses
 BIOL 1009/1009H General Biology (regular/Honors)
 PHSL 3061 Principles of Physiology
 CHEM 1061, 1065, 1062, 1066
 One of the following: (note the prerequisites for PHSL and NSC courses)
 PHSL 4700 (was BIOL 4700) Cell Physiology
 PHSL 5444 Muscle
 NSC 5202 Theoretical Neuroscience: Systems and Information Processing (note the prerequisites for this course)
 MATH 5445 or MATH 5447 (the one not taken above)
 Mathematics Education
 MATH 4281 or MATH 5248 or MATH 5251 or MATH 5285H
 MATH 4707 or MATH 5705 or MATH 5707 (Note: MATH 4707 Introduction to Combinatorics and Graph Theory satisfies the Algebra requirement only for the Math Ed specialization.)
 MATH 5335 Geometry I
 MATH 4653 Elementary Probability (MATH 5651 or STAT 5101 may be substituted.)
 Two courses from the Analysis list
 Two additional upperdivision MATH courses (recommended: MATH 5336, 4242, 5652, STAT 5102)
 Technical elective as described above
 Preparation for graduate study in mathematics
Here are course recommendations for students considering graduate study in mathematics:
 MATH 3592H/3593H or MATH 1571H/1572H/2573H/2574H/3283W
 MATH 5615H/5616H Honors: Introduction to Analysis I/II
 MATH 5285H/5286H Honors: Fundamental Structures of Algebra I/II
 MATH 5165/5166 Mathematical Logic I/II
 MATH 5345H Honors: Introduction to Topology
 MATH 5378 Differential Geometry
 MATH 5467 Introduction to the Mathematics of Image and Data Analysis
 MATH 5485/5486 Introduction to Numerical Methods I/II
 MATH 5587/5588 Elementary Partial Differential Equations I/II
 MATH 5583 Complex Analysis
 MATH 5651 Basic Theory of Probability and Statistics or STAT 5101
 MATH 8xxx  see registration procedure for 8xxx MATH courses
The Mathematics minor
The minor in Mathematics is offered through CLA. To apply for the Mathematics Minor, click here. The applications are reviewed and approved by the DUGS for Mathematics. Requirements:
As for the major, MATH 3283W, 4067W, 49xx, and 59xx do not count as upperdivision MATH courses, but STAT 5101 and STAT 5102 do.
Updated 7/5/16 by BDM (DUGS); 7/5/16 cmc.
