Campuses:
Twin Cities Campus
Mathematics B.S.Math.School of Mathematics
College of Science and Engineering
The mission of the program is to provide highquality mathematics instruction in a stimulating intellectual atmosphere. The goal is to educate students at all levels to provide cultural enrichment, to give them the analytic tools they need to become responsible citizens, and to prepare them for careers involving mathematics.
The School of Mathematics offers a program leading to the bachelor of science degree. The course of study is flexible and may be adapted to satisfy a wide variety of interests and needs. Students may prepare for graduate study in mathematics or emphasize various fields of interest, such as preparation for secondary school teaching, actuarial science, or programs in applied mathematics, including industrial mathematics, biology, mathematics applicable to computer science, and numerical analysis.
Program Delivery
This program is available:
Admission Requirements
Students must complete
5 courses
before admission to the program.
Freshman and transfer students are usually admitted to premajor status
before admission to this major.
Successful completion of five (5) courses is required for admission to upper division as a Math major: three (3) Calculus courses: Calculus I (1371/1271/1571H), Calculus II (1372/1272/1572H), and one 2xxx level Calculus course  either Linear Algebra & Differential Equations (2373/2243/2574H) or Multivariable Calculus (2374/2263/2573H)  plus two (2) Calculusbased Physics courses (see list below).
For information about University of Minnesota admission requirements, visit the
Office of Admissions
website.
Required prerequisites
Calculus Sequence
CSE Calculus Sequence
Either MATH 2373 Linear Algebra & Differential Equations (here) or MATH 2374 Multivariable Calculus (see program requirements) can be taken to meet the requirement for admission to upper division.
Calculus I
MATH 1371  CSE Calculus I
[MATH]
(4.0 cr)
or
MATH 1271  Calculus I
[MATH]
(4.0 cr)
or
MATH 1571H  Honors Calculus I
[MATH]
(4.0 cr)
Calculus II
MATH 1372  CSE Calculus II
(4.0 cr)
or
MATH 1272  Calculus II
(4.0 cr)
or
MATH 1572H  Honors Calculus II
(4.0 cr)
2xxx Level Calculus Course
MATH 2373  CSE Linear Algebra and Differential Equations
(4.0 cr)
or
MATH 2243  Linear Algebra and Differential Equations
(4.0 cr)
or
MATH 2574H  Honors Calculus IV
(4.0 cr)
Required prerequisites
Physics
PHYS 1301W  Introductory Physics for Science and Engineering I
[PHYS, WI]
(4.0 cr)
or
PHYS 1401V  Honors Physics I
[PHYS, WI]
(4.0 cr)
PHYS 1302W  Introductory Physics for Science and Engineering II
[PHYS, WI]
(4.0 cr)
or
PHYS 1402V  Honors Physics II
[PHYS, WI]
(4.0 cr)
General Requirements
All students in baccalaureate degree programs are required to complete general University and college requirements including writing and liberal education courses. For more information about Universitywide requirements, see the
liberal education requirements.
Required courses for the major, minor or certificate in which a student receives a D grade (with or without plus or minus) do not count toward the major, minor or certificate (including transfer courses).
Program Requirements
Students must complete eight (8) upper division math courses at 4xxx and above plus a Computer Science course (see list below) and two (2) technical elective courses at the 3xxx level or above with the prerequisite of Calculus I. The School of Mathematics will accept STAT 5101 and 5102 as part of the eightcourse upper division mathematics requirement. The content of STAT 5101 is the same as MATH 5651. No other courses from other departments may be used as part of the eightcourse math requirement, although other courses may be used as technical electives.
MATH 3113, 3116, 3118, 4113, 4116, 4118, 3283W, 4005, 4067W, 49xx and 59xx math courses neither satisfy upper division math course requirement nor the technical electives requirement.
In addition to the specializations described below, students who wish to pursue a pure mathematics track or are planning to go to graduate school in mathematics should consult their adviser about appropriate course choices.
Remaining Required Lower Division Calculus Courses
2xxx Level Calculus Course
MATH 2374  CSE Multivariable Calculus and Vector Analysis
(4.0 cr)
or
MATH 2263  Multivariable Calculus
(4.0 cr)
or
MATH 2573H  Honors Calculus III
(4.0 cr)
Sequences, Series, & Foundations
MATH 3283W  Sequences, Series, and Foundations: Writing Intensive
[WI]
(4.0 cr)
or
MATH 2283  Sequences, Series, and Foundations
(3.0 cr)
Specializations in Mathematics
Mathematics (No Specialization)
Students who do not choose one of the specializations must complete the basic Mathematics Major course requirements listed here.
For the technical electives requirement, students must take at least 6 credits of courses that meet the following criteria: prerequisite of calculus; 3xxx level or higher; courses form a coherent part of the student's program.
Algebra Requirement
Both courses can be from the Theoretical Algebra list.
Take 2 or more course(s) from the following:
Theoretical Algebra
Take 1 or more course(s) from the following:
·
MATH 4281  Introduction to Modern Algebra
(4.0 cr)
·
MATH 5248  Cryptology and Number Theory
(4.0 cr)
·
MATH 5251  ErrorCorrecting Codes, Finite Fields, Algebraic Curves
(4.0 cr)
·
MATH 5285H  Honors: Fundamental Structures of Algebra I
(4.0 cr)
·
MATH 5286H  Honors: Fundamental Structures of Algebra II
(4.0 cr)
·
MATH 5385  Introduction to Computational Algebraic Geometry
(4.0 cr)
·
Applied Algebra
Take 0 or more course(s) from the following:
·
MATH 4242  Applied Linear Algebra
(4.0 cr)
·
MATH 5705  Enumerative Combinatorics
(4.0 cr)
·
MATH 5707  Graph Theory and Nonenumerative Combinatorics
(4.0 cr)
·
MATH 5711  Linear Programming and Combinatorial Optimization
(4.0 cr)
·
MATH 5485  Introduction to Numerical Methods I
(4.0 cr)
Analysis Requirement
Take 2 or more course(s) from the following:
·
MATH 4567  Applied Fourier Analysis
(4.0 cr)
·
MATH 4603  Advanced Calculus I
(4.0 cr)
·
MATH 4604  Advanced Calculus II
(4.0 cr)
·
MATH 5486  Introduction To Numerical Methods II
(4.0 cr)
·
MATH 5525  Introduction to Ordinary Differential Equations
(4.0 cr)
·
MATH 5535  Dynamical Systems and Chaos
(4.0 cr)
·
MATH 5583  Complex Analysis
(4.0 cr)
·
MATH 5587  Elementary Partial Differential Equations I
(4.0 cr)
·
MATH 5588  Elementary Partial Differential Equations II
(4.0 cr)
·
MATH 5615H  Honors: Introduction to Analysis I
(4.0 cr)
·
MATH 5616H  Honors: Introduction to Analysis II
(4.0 cr)
·
MATH 5652  Introduction to Stochastic Processes
(4.0 cr)
·
MATH 5654  Prediction and Filtering
(4.0 cr)
·
MATH 5651  Basic Theory of Probability and Statistics
(4.0 cr)
or
STAT 5101  Theory of Statistics I
(4.0 cr)
Computer Science Requirement
CSCI 1103  Introduction to Computer Programming in Java
(4.0 cr)
or
CSCI 1113  Introduction to C/C++ Programming for Scientists and Engineers
(4.0 cr)
or
CSCI 1901 {Inactive}
(4.0 cr)
Third Semester Physics Requirement
PHYS 2303  Physics III: Physics of Matter
(4.0 cr)
or
PHYS 2311  Modern Physics
(4.0 cr)
or
PHYS 2503  Physics III: Intro to Waves, Optics, and Special Relativity
(4.0 cr)
Mathematics Electives Requirement
Courses from the Algebra and Analysis lists which have not already used to fulfill those requirements may be taken to fulfill the Mathematics Elective requirement.
4xxx/5xxx Level Mathematics Courses
Take 4 or more course(s) from the following:
·
MATH 4xxx
·
MATH 5xxx
Technical Electives Requirement
Complete 6 credits of technical elective courses at the 3xxx level or above which have Calculus I (1271/1371/1571H) as a prerequisite. Technical Electives are selected by consultation with and approval of the Math Faculty Adviser. Earliest semester: Y3 Fall; latest semester: Y4 Spring. Courses for this requirement must form a coherent part of a student's program.
Take 2 or more course(s) totaling 6 or more credit(s) from the following:
·
Technical Elective Courses
OR
Actuarial Specialization
Complete the requirements for the actuarial subplan.
OR
Mathematics Education Specialization
Complete the requirements for the mathematics education subplan.
OR
Computer Applications Specialization
Complete the requirements for the computer applications subplan.
OR
Mathematical Biology: Genomics
Complete the requirements for the genomics subplan.
OR
Mathematical Biology: Physiology
Complete the requirements for the physiology subplan.
Program Subplans
A subplan is not required for this program.
Actuarial Science
The BSMathematics with Actuarial Specialization requires a minimum of 8 upper division (4xxx level and above) Mathematics courses, as indicated in the lists below. Students pursuing the Actuarial Specialization may want to include MATH 4067W, which fulfills an upper division writing intensive requirement, although it does not fulfill any of the upper division Math course requirements. It is recommended for in this specialization to plan for a Summer Internship after the Junior Year.
For the Actuarial Specialization, students must complete specific courses in Economics, Accounting, Insurance, and Finance. Thus, these required courses in Economics and Finance take the place of a Technical Electives package for students who successfully complete the Actuarial Specialization.
For the Computer Science requirement, students with the Actuarial Specialization should only take either 1103 or 1113. A third semester of Physics is not required for the Actuarial Specialization.
Mathematics Course Requirements
Algebra Requirement
Theoretical Algebra
Take 1 or more course(s) from the following:
·
MATH 4281  Introduction to Modern Algebra
(4.0 cr)
·
MATH 5248  Cryptology and Number Theory
(4.0 cr)
·
MATH 5251  ErrorCorrecting Codes, Finite Fields, Algebraic Curves
(4.0 cr)
·
MATH 5285H  Honors: Fundamental Structures of Algebra I
(4.0 cr)
·
MATH 5286H  Honors: Fundamental Structures of Algebra II
(4.0 cr)
·
MATH 5385  Introduction to Computational Algebraic Geometry
(4.0 cr)
Applied Algebra
MATH 4242  Applied Linear Algebra
(4.0 cr)
Analysis Requirement
STAT 5102 does not fulfill the Analysis Requirement.
Theory of Probability & Statistics
MATH 5651  Basic Theory of Probability and Statistics
(4.0 cr)
or
STAT 5101  Theory of Statistics I
(4.0 cr)
Stochastic Processes
MATH 5652  Introduction to Stochastic Processes
(4.0 cr)
Actuarial Mathematics Requirement
MATH 4065  Theory of Interest
(4.0 cr)
MATH 5067  Actuarial Mathematics I
(4.0 cr)
MATH 5068  Actuarial Mathematics II
(4.0 cr)
Additional Math Requirements for Actuarial Specialization
Courses recommended for this Specialization are MATH 4428, 5485, 5075, 5076.
4xxx or 5xxx Level Math Courses
Take 1 or more course(s) from the following:
·
MATH 4xxx
·
MATH 5xxx
Economics and Business
Introductory Economics
Intro Economics
ECON 1101  Principles of Microeconomics
[SOCS, GP]
(4.0 cr)
ECON 1102  Principles of Macroeconomics
(4.0 cr)
Computer Applications
The upper division (4xxx level or above) Mathematics courses, a 3rd semester of physics, and a minimum 24 credits of math and computer science courses relating to computer applications (from the courses listed below) are needed to fulfill the requirements for the BSMathematics with Computer Applications Specialization. Students who complete the Computer Applications Specialization may meet the requirements for a Minor in Computer Science.
Mathematics Course Requirements for Computer Applications
Algebra Requirements
Theoretical Algebra
Take 1 or more course(s) from the following:
·
MATH 4281  Introduction to Modern Algebra
(4.0 cr)
·
MATH 5248  Cryptology and Number Theory
(4.0 cr)
·
MATH 5251  ErrorCorrecting Codes, Finite Fields, Algebraic Curves
(4.0 cr)
·
MATH 5285H  Honors: Fundamental Structures of Algebra I
(4.0 cr)
·
MATH 5286H  Honors: Fundamental Structures of Algebra II
(4.0 cr)
·
MATH 5385  Introduction to Computational Algebraic Geometry
(4.0 cr)
Applied Algebra
MATH 5485  Introduction to Numerical Methods I
(4.0 cr)
Analysis Requirements
Numerical Methods
MATH 5486  Introduction To Numerical Methods II
(4.0 cr)
Additional Analysis Course
Take 1 or more course(s) from the following:
·
MATH 4567  Applied Fourier Analysis
(4.0 cr)
·
MATH 4603  Advanced Calculus I
(4.0 cr)
·
MATH 4604  Advanced Calculus II
(4.0 cr)
·
MATH 5535  Dynamical Systems and Chaos
(4.0 cr)
·
MATH 5525  Introduction to Ordinary Differential Equations
(4.0 cr)
·
MATH 5583  Complex Analysis
(4.0 cr)
·
MATH 5587  Elementary Partial Differential Equations I
(4.0 cr)
·
MATH 5588  Elementary Partial Differential Equations II
(4.0 cr)
·
MATH 5652  Introduction to Stochastic Processes
(4.0 cr)
·
MATH 5654  Prediction and Filtering
(4.0 cr)
·
MATH 5615H  Honors: Introduction to Analysis I
(4.0 cr)
·
MATH 5616H  Honors: Introduction to Analysis II
(4.0 cr)
·
MATH 5651  Basic Theory of Probability and Statistics
(4.0 cr)
or
STAT 5101  Theory of Statistics I
(4.0 cr)
Mathematics Electives
Mathematics courses in the Algebra, Analysis, or ComputingRelated Mathematics lists which are not used to fulfill those requirements may be taken as Mathematics Elective courses.
Take 2 or more course(s) from the following:
·
MATH 4xxx
·
MATH 5xxx
ComputingRelated Mathematics
Mathematical Logic Requirement
MATH 5165  Mathematical Logic I
(4.0 cr)
ComputerRelated Mathematics Electives
Take 1 or more course(s) from the following:
·
MATH 4242  Applied Linear Algebra
(4.0 cr)
·
MATH 5166 {Inactive}
(4.0 cr)
·
MATH 5248  Cryptology and Number Theory
(4.0 cr)
·
MATH 5251  ErrorCorrecting Codes, Finite Fields, Algebraic Curves
(4.0 cr)
·
MATH 5285H  Honors: Fundamental Structures of Algebra I
(4.0 cr)
·
MATH 5286H  Honors: Fundamental Structures of Algebra II
(4.0 cr)
·
MATH 5385  Introduction to Computational Algebraic Geometry
(4.0 cr)
·
MATH 5705  Enumerative Combinatorics
(4.0 cr)
·
MATH 5707  Graph Theory and Nonenumerative Combinatorics
(4.0 cr)
·
MATH 5711  Linear Programming and Combinatorial Optimization
(4.0 cr)
Computer Applications Lower Division Requirements
Introduction to Computer Programming
CSCI 1901 {Inactive}
(4.0 cr)
Structure of Computer Programming
CSCI 1902 {Inactive}
(4.0 cr)
Discrete Structures
CSCI 2011  Discrete Structures of Computer Science
(4.0 cr)
Computer Science Courses & Technical Electives
Upper division computer science courses may be counted as technical electives.
Take 2 or more course(s) from the following:
·
CSCI 4011  Formal Languages and Automata Theory
(4.0 cr)
·
CSCI 4041  Algorithms and Data Structures
(4.0 cr)
·
CSCI 4107 {Inactive}
(3.0 cr)
·
CSCI 4511W  Introduction to Artificial Intelligence
[WI]
(4.0 cr)
·
CSCI 5607  Fundamentals of Computer Graphics 1
(3.0 cr)
·
CSCI 5608  Fundamentals of Computer Graphics II
(3.0 cr)
·
CSCI 5403 {Inactive}
(3.0 cr)
·
CSCI 5421  Advanced Algorithms and Data Structures
(3.0 cr)
·
CSCI 5451  Introduction to Parallel Computing: Architectures, Algorithms, and Programming
(3.0 cr)
·
CSCI 5511  Artificial Intelligence I
(3.0 cr)
·
CSCI 5512  Artificial Intelligence II
(3.0 cr)
·
CSCI 5521  Machine Learning Fundamentals
(3.0 cr)
Third Semester Physics Requirement
A physics course from the following list should be taken during the the second year to fulfill this requirement.
PHYS 2303  Physics III: Physics of Matter
(4.0 cr)
or
PHYS 2311  Modern Physics
(4.0 cr)
or
PHYS 2503  Physics III: Intro to Waves, Optics, and Special Relativity
(4.0 cr)
Mathematics Education
Preparation for teaching Mathematics in secondary education.
The eight (8) required upper division (4xxx level or above) Mathematics courses for the Mathematics Education Specialization include seven (7) Math courses, which meet admission requirements for the Secondary Teaching Licensure Program in Mathematics. Additional requirements for the BSMathematics with Mathematics Education Specialization include a 3rd semester of Physics, a minimum of one (1) Computer Science course, and a Technical Electives course package.
MATH 4653 is recommended to meet admission requirements for the Math Education Licensure Program, but it does not fulfill the analysis requirement for the major.
Courses that are recommended for this specialization (but not required) include MATH 5652 Stochastic Processes, STAT 5102 Theory of Statistics II, and MATH 5336 Geometry II.
Mathematics Education Specialization Requirements
Algebra Requirements
Theoretical Algebra
MATH 4281  Introduction to Modern Algebra
(4.0 cr)
or
MATH 5285H  Honors: Fundamental Structures of Algebra I
(4.0 cr)
Applied Algebra
Combinatorics
Take 1 or more course(s) from the following:
·
MATH 4707  Introduction to Combinatorics and Graph Theory
(4.0 cr)
·
MATH 5705  Enumerative Combinatorics
(4.0 cr)
·
MATH 5707  Graph Theory and Nonenumerative Combinatorics
(4.0 cr)
Geometry
MATH 5335  Geometry I
(4.0 cr)
Probability and Statistics
MATH 5651 or STAT 5101 may be used to fulfill this requirement.
MATH 4653  Elementary Probability
(4.0 cr)
Analysis Requirements
Take 2 or more course(s) from the following:
·
MATH 4567  Applied Fourier Analysis
(4.0 cr)
·
MATH 4603  Advanced Calculus I
(4.0 cr)
·
MATH 4604  Advanced Calculus II
(4.0 cr)
·
MATH 5651  Basic Theory of Probability and Statistics
(4.0 cr)
or
STAT 5101  Theory of Statistics I
(4.0 cr)
Mathematics Education Electives Requirement
Recommended Math Elective courses for this specialization are MATH 5336, MATH 4242, MATH 5652, STAT 5102. Courses from the Algebra or Analysis lists not used to fulfill those requirements may also be taken to fulfill this Math Electives requirement.
Take 2 or more course(s) from the following:
·
MATH 4xxx
·
MATH 5xxx
Third Semester Physics Requirement
Take one of the following physics courses in the third semester (fall semester of the second year).
PHYS 2303  Physics III: Physics of Matter
(4.0 cr)
or
PHYS 2311  Modern Physics
(4.0 cr)
or
PHYS 2503  Physics III: Intro to Waves, Optics, and Special Relativity
(4.0 cr)
Technical Electives
Students must complete 6 credits of courses at the 3xxx level or above which have Calculus I (1271, 1371, 1571H) as a prerequisite and which form a coherent part of student's program. Technical Electives are selected by consultation and approval of your Math adviser. Earliest semester: Y3 fall; latest semester: Y4 spring.
Honors UHP
This is an honors subplan.
Students admitted to the University Honors Program (UHP) must fulfill UHP requirements in addition to degree program requirements. For any course required in a degree program, UHP students must register for the honors version if one is offered. Honors courses used to fulfill degree program requirements will also fulfill UHP requirements.
Students must complete a minimum of eight (8) upper division (4xxx level and above) Mathematics courses to fulfill the requirements for the major. These requirements include at least one Theoretical Algebra, one Applied Algebra, and two Analysis courses plus four elective Math courses or the course requirements for any chosen specialization within the major. Only the Actuarial Specialization has a variant approach to the CSE Technical Elective package and omits the 3rd semester of Physics. 49xx and 59xx Mathematics courses cannot be used to fulfill the eightcourse Math requirement for the Major.
Current departmental honors course offerings are listed at: http://www.honors.umn.edu/academics/curriculum/dept_courses_current.html.
Honors students complete an honors thesis project in the final year, most often in conjunction with an honors thesis course, or with an honors directed studies, or honors directed research course. Students select honors courses and plan for a thesis project in consultation with their UHP adviser and their departmental faculty adviser.
Mathematical Biology: Genomics
Mathematics Requirements for MathBio: Genomics
Mathematical Modeling Requirement
MATH 4428  Mathematical Modeling
(4.0 cr)
Algebra Requirements
Theoretical Algebra
Take 1 or more course(s) from the following:
·
MATH 4281  Introduction to Modern Algebra
(4.0 cr)
·
MATH 5248  Cryptology and Number Theory
(4.0 cr)
·
MATH 5251  ErrorCorrecting Codes, Finite Fields, Algebraic Curves
(4.0 cr)
·
MATH 5285H  Honors: Fundamental Structures of Algebra I
(4.0 cr)
·
MATH 5286H  Honors: Fundamental Structures of Algebra II
(4.0 cr)
·
MATH 5385  Introduction to Computational Algebraic Geometry
(4.0 cr)
Applied Algebra
MATH 4242  Applied Linear Algebra
(4.0 cr)
Analysis Requirements
Genomics Analysis Requirement
Take 1 or more course(s) from the following:
·
MATH 5525  Introduction to Ordinary Differential Equations
(4.0 cr)
·
MATH 5535  Dynamical Systems and Chaos
(4.0 cr)
Theory of Probability & Statistics I
MATH 5651  Basic Theory of Probability and Statistics
(4.0 cr)
or
STAT 5101  Theory of Statistics I
(4.0 cr)
Mathematics Electives
Mathematics courses from the Algebra, Analysis, and Genomics Electives lists which were not used to fulfill those requirements may be taken as Mathematics Electives to meet the 8 course requirement for the major.
Take 3 or more course(s) from the following:
·
MATH 4xxx
·
MATH 5xxx
·
MATH 5445  Mathematical Analysis of Biological Networks
(4.0 cr)
Computer Science Requirements for Genomics
Computer Science Lower Division Requirement
CSCI 1901 {Inactive}
(4.0 cr)
CSCI 1902 {Inactive}
(4.0 cr)
5xxx Level CSCI Course Requirements
CSCI 2011 & CSCI 4041 may together serve as the substitute prerequisite courses for CSCI 5461.
Functional Genomics, Systems Biol., Bioinformatics
CSCI 5461  Functional Genomics, Systems Biology, and Bioinformatics
(3.0 cr)
CSCI 3003  Introduction to Computing in Biology
(3.0 cr)
Genomics, Biology Requirements; Chemistry Elective or Prerequisite
If the Genomics Elective Course chosen does not require a Chemistry sequence, then it is still recommended that one semester of Chemistry is taken (CHEM 1061 & CHEM 1065 Lab).
Genomics Course Requirement
GCD 3022  Genetics
(3.0 cr)
Genomics Elective Requirement
The 5xxx level CSCI course which was not taken to fulfill the Computer Science requirement may (with its prerequisites) be used to fulfill the Genomics Elective Requirement.
MATH 5445 may be used to fulfill this requirement.
Take 1 or more course(s) from the following:
·
EEB 5042  Quantitative Genetics
(3.0 cr)
·
GCD 4143  Human Genetics and Genomics
(3.0 cr)
·
MATH 5445  Mathematical Analysis of Biological Networks
(4.0 cr)
·
Plant Genomics
PBIO 5301 has additional prerequisite courses: CHEM 1061, CHEM 1065 (lab), CHEM 1062, CHEM 1066 (lab), CHEM 2301, BIOC 3021.
·
PMB 5301 {Inactive}
(3.0 cr)
·
Molecular Biology of Cancer
GCD 4151 has additional prerequisite courses: CHEM 1061, CHEM 1065 (lab), CHEM 1062, CHEM 1066 (lab), CHEM 2301, BIOC 3021, BIOL 4033.
·
GCD 4151  Molecular Biology of Cancer
(3.0 cr)
Mathematical Biology: Physiology
Mathematics Requirements for MathBio: Physiology
Mathematical Modeling Requirement
MATH 4428  Mathematical Modeling
(4.0 cr)
Biological Networks or Neuroscience
MATH 5445  Mathematical Analysis of Biological Networks
(4.0 cr)
or
MATH 5447  Theoretical Neuroscience
(4.0 cr)
Theoretical Algebra
Take 1 or more course(s) from the following:
·
MATH 4281  Introduction to Modern Algebra
(4.0 cr)
·
MATH 5248  Cryptology and Number Theory
(4.0 cr)
·
MATH 5251  ErrorCorrecting Codes, Finite Fields, Algebraic Curves
(4.0 cr)
·
MATH 5285H  Honors: Fundamental Structures of Algebra I
(4.0 cr)
·
MATH 5286H  Honors: Fundamental Structures of Algebra II
(4.0 cr)
·
MATH 5385  Introduction to Computational Algebraic Geometry
(4.0 cr)
Applied Algebra Requirement
MATH 4242  Applied Linear Algebra
(4.0 cr)
Analysis Requirements
Physiology Analysis Requirement
Take 1 or more course(s) from the following:
·
MATH 5525  Introduction to Ordinary Differential Equations
(4.0 cr)
·
MATH 5535  Dynamical Systems and Chaos
(4.0 cr)
Theory of Probability & Statistics
MATH 5651  Basic Theory of Probability and Statistics
(4.0 cr)
or
STAT 5101  Theory of Statistics I
(4.0 cr)
Mathematics Electives
Mathematics courses from the Algebra, Analysis or required Mathematics for Physiology lists which were not used to fulfill those requirements may be used to fulfill this requirement.
Take 2 or more course(s) from the following:
·
MATH 4xxx
·
MATH 5xxx
Physiology, Biology, Chemistry Requirements
Physiology Requirement
PHSL 3061  Principles of Physiology
(4.0 cr)
1xxx Level Biology Requirement
BIOL 1009H may be substituted.
BIOL 1009  General Biology
[BIOL]
(4.0 cr)
1xxx Level Chemistry Requirements
CHEM 1061  Chemical Principles I
[PHYS]
(3.0 cr)
CHEM 1065  Chemical Principles I Laboratory
[PHYS]
(1.0 cr)
CHEM 1062  Chemical Principles II
[PHYS]
(3.0 cr)
CHEM 1066  Chemical Principles II Laboratory
[PHYS]
(1.0 cr)
Physiology Electives
Whichever course  Math 5445 or Math 5447  was not taken to fulfill the Mathematics requirement can be taken to fulfill this Electives requirement.
Take 1 or more course(s) from the following:
·
BIOL 4700 {Inactive}
(3.0 cr)
·
PHSL 5444  Muscle
(3.0 cr)
·
NSC 5202 has additional prerequisite courses: CHEM 2301, BIOC 3021, NSCI 3101, NSCI 3102.
·
NSC 5202  Theoretical Neuroscience: Systems and Information Processing
(3.0 cr)


Credits:  4.0 [max 4.0] 
Course Equivalencies:  Math 1271/Math 1281/Math 1371/ 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  Math 1271/Math 1281/Math 1371/ 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  Math 1271/Math 1281/Math 1371/ 
Grading Basis:  AF only 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  Math 1272/Math 1282/Math 1372/ 
Typically offered:  Every Spring 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  Math 1272/Math 1282/Math 1372/ 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  Math 1272/Math 1282/Math 1372/ 
Grading Basis:  AF only 
Typically offered:  Every Spring 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  Math 2243/Math 2373/Math 2574H 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  Math 2243/Math 2373/Math 2574H 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  Math 2243/Math 2373/Math 2574H 
Grading Basis:  AF only 
Typically offered:  Every Spring 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  Phys 1201W/1301W/1401V/1501V 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  Phys 1201W/1301W/1401V/1501V 
Grading Basis:  AF only 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  Phys 1202W/1302W/1402V/1502V 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  Phys 1202W/1302W/1402V/1502V 
Grading Basis:  AF only 
Typically offered:  Every Spring 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  Math 2263/Math 2374/Math 2573H 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  Math 2263/Math 2374/Math 2573H 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  Math 2263/Math 2374/Math 2573H 
Grading Basis:  AF only 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  Math 2283/3283W 
Typically offered:  Every Fall & Spring 
Credits:  3.0 [max 3.0] 
Course Equivalencies:  Math 2283/3283W 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Typically offered:  Periodic Fall 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Spring 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  Math 4242/Math 4457 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  Math 4606/Math 5615/Math 5616 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  Math 4604/Math 5616 
Typically offered:  Every Spring 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Spring 
Credits:  4.0 [max 4.0] 
Typically offered:  Periodic Fall & Spring 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  Math 3574/Math 5583 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Grading Basis:  AF or Aud 
Typically offered:  Every Spring 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Spring 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Spring 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  Math 5651/Stat 5101 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  Phys 2303/2403H/2503/2503H 
Typically offered:  Every Spring 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  Phys 2303/2403H/2503/2503H 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Typically offered:  Periodic Fall 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Spring 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  Math 4242/Math 4457 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  Math 5651/Stat 5101 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Grading Basis:  AF only 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Spring 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  Econ 1101/1104/1111/ApEc 1101 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  ApEc 1102/Econ 1102/1105/1112 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  Acct 2050/ApEc 1251/Dbln 2051 
Grading Basis:  AF or Aud 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  Econ 3101/Econ 3101H/ApEc 3001 
Grading Basis:  AF only 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Grading Basis:  AF or Aud 
Typically offered:  Every Fall, Spring & Summer 
Credits:  3.0 [max 3.0] 
Course Equivalencies:  ApEc 3501/Fina 3001/Fina 3001H 
Grading Basis:  AF or Aud 
Typically offered:  Every Fall, Spring & Summer 
Credits:  2.0 [max 2.0] 
Typically offered:  Every Fall & Spring 
Credits:  2.0 [max 2.0] 
Typically offered:  Every Fall 
Credits:  2.0 [max 2.0] 
Typically offered:  Every Spring 
Credits:  4.0 [max 4.0] 
Typically offered:  Periodic Fall 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Spring 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Spring 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  Math 4606/Math 5615/Math 5616 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  Math 4604/Math 5616 
Typically offered:  Every Spring 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Typically offered:  Periodic Fall & Spring 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  Math 3574/Math 5583 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Grading Basis:  AF or Aud 
Typically offered:  Every Spring 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Spring 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Spring 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  Math 5651/Stat 5101 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  Math 4152/5165 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  Math 4242/Math 4457 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Spring 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  CSci 2011/CSci 2011H 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  CSci 4041/CSci 4041H 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  CSci 4511W/CSci 5511 
Prerequisites:  2041 or # 
Typically offered:  Every Spring 
Credits:  3.0 [max 3.0] 
Typically offered:  Every Fall 
Credits:  3.0 [max 3.0] 
Typically offered:  Periodic Spring 
Credits:  3.0 [max 3.0] 
Typically offered:  Every Fall & Spring 
Credits:  3.0 [max 3.0] 
Typically offered:  Every Spring 
Credits:  3.0 [max 3.0] 
Course Equivalencies:  CSci 4511W/CSci 5511 
Prerequisites:  [2041 or #], grad student 
Typically offered:  Every Fall 
Credits:  3.0 [max 3.0] 
Course Equivalencies:  CSci 5512W/CSci 5512 
Typically offered:  Every Spring 
Credits:  3.0 [max 3.0] 
Typically offered:  Periodic Fall 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  Phys 2303/2403H/2503/2503H 
Typically offered:  Every Spring 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  Phys 2303/2403H/2503/2503H 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Typically offered:  Periodic Fall 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  Math 4606/Math 5615/Math 5616 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  Math 4604/Math 5616 
Typically offered:  Every Spring 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  Math 5651/Stat 5101 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  Phys 2303/2403H/2503/2503H 
Typically offered:  Every Spring 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  Phys 2303/2403H/2503/2503H 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Spring 
Credits:  4.0 [max 4.0] 
Typically offered:  Periodic Fall 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Spring 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  Math 4242/Math 4457 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Typically offered:  Periodic Fall & Spring 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  Math 5651/Stat 5101 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Spring 
Credits:  3.0 [max 3.0] 
Typically offered:  Every Spring 
Credits:  3.0 [max 3.0] 
Course Equivalencies:  CSci 3003/CSci 5465 
Typically offered:  Fall Odd Year 
Credits:  3.0 [max 3.0] 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  CSci 4041/CSci 4041H 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  CSci 2011/CSci 2011H 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  Biol 1009/Biol 1009H 
Typically offered:  Every Fall, Spring & Summer 
Credits:  3.0 [max 3.0] 
Course Equivalencies:  Biol 4003/GCD 3022 
Typically offered:  Every Fall, Spring & Summer 
Credits:  3.0 [max 3.0] 
Grading Basis:  AF only 
Typically offered:  Every Fall 
Credits:  3.0 [max 3.0] 
Typically offered:  Every Spring 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Spring 
Credits:  3.0 [max 3.0] 
Grading Basis:  AF or Aud 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Spring 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Spring 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Typically offered:  Periodic Fall 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Spring 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  Math 4242/Math 4457 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Typically offered:  Periodic Fall & Spring 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  Math 5651/Stat 5101 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  Phsl 3063/Phsl 3071 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  Biol 1009/Biol 1009H 
Typically offered:  Every Fall, Spring & Summer 
Credits:  3.0 [max 3.0] 
Course Equivalencies:  Chem 1061/Chem 1071H/Chem 1081 
Typically offered:  Every Fall, Spring & Summer 
Credits:  1.0 [max 1.0] 
Course Equivalencies:  Chem 1065/Chem 1075H 
Grading Basis:  AF only 
Typically offered:  Every Fall, Spring & Summer 
Credits:  3.0 [max 3.0] 
Course Equivalencies:  Chem 1062/Chem 1072H 
Typically offered:  Every Fall, Spring & Summer 
Credits:  1.0 [max 1.0] 
Course Equivalencies:  Chem 1066/Chem 1076H 
Grading Basis:  AF only 
Typically offered:  Every Fall, Spring & Summer 
Credits:  3.0 [max 3.0] 
Course Equivalencies:  BioC 5444/Phsl 5444/BMEN 5444 
Typically offered:  Every Spring 
Credits:  3.0 [max 3.0] 
Course Equivalencies:  NSc 5202/Phsl 5202 
Typically offered:  Every Spring 