Campuses:
Twin Cities Campus
Mathematics B.A.School of Mathematics
College of Liberal Arts
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 in the College of Liberal Arts leading to a bachelor of arts 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 may emphasize various fields of interest, such as preparation for secondary school teaching, actuarial science, or programs in applied mathematics. This includes industrial mathematics, biology, mathematics applicable to computer science, and numerical analysis.
Program Delivery
This program is available:
Admission Requirements
Students must complete
3 courses
before admission to the program.
Successful completion of Calculus I (1271/1371/1571H) plus Calculus II (1272/1372/1572H) plus one 2xxx level Calculus course: (2243/2373/2574H/3592H) or (2263/2374/2573H/3593H). See equivalent course lists below.
For information about University of Minnesota admission requirements, visit the
Office of Admissions
website.
Required prerequisites
Required Calculus Courses
Both Calculus I & II plus one 2xxx (or 3xxx level Honors) Calculus course must be successfully completed in order to declare the Math major.
Calculus Sequence
Calculus I
MATH 1271  Calculus I
[MATH]
(4.0 cr)
or
MATH 1371  CSE Calculus I
[MATH]
(4.0 cr)
or
MATH 1571H  Honors Calculus I
[MATH]
(4.0 cr)
Calculus II
MATH 1272  Calculus II
(4.0 cr)
or
MATH 1372  CSE Calculus II
(4.0 cr)
or
MATH 1572H  Honors Calculus II
(4.0 cr)
2xxx Level Calculus Course
MATH 2243  Linear Algebra and Differential Equations
(4.0 cr)
or
MATH 2373  CSE Linear Algebra and Differential Equations
(4.0 cr)
or
2xxx or 3xxx Level Honors Calculus Course
MATH 2574H  Honors Calculus IV
(4.0 cr)
or
MATH 3592H  Honors Mathematics I
(5.0 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 are required to complete 4 semester(s) of
any second language.
with a grade of C, or better, or S, or demonstrate proficiency in the language(s) as defined by the department
or college.
Students must complete a minimum of 6 upper division math courses at 4xxx or above and a senior project (4995 or 4997W). Please note that MATH 3113, 3116, 3118, 4116, 4118, 3283W, 4005, 4067W, 49xx and 59xx math courses do not satisfy upper division mathematics course requirements.
The School of Mathematics will accept STAT 5101 and STAT 5102 as part of the upper division mathematics course requirements. The content of STAT 5101 is the same as MATH 5651. STAT 5102 does not fulfill the Analysis Requirement. No other courses from other departments may be used as part of the Mathematics Major course requirements.
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.
Beginning fall 2012, all incoming CLA freshman must complete the appropriate First Year Experience course sequence. Specific information about this collegiate requirement can be found at: http://class.umn.edu/degree_requirements/index.html
Remaining Required Lower Division Calculus Courses
Multivariable Calculus
MATH 2263  Multivariable Calculus
(4.0 cr)
or
MATH 2374  CSE Multivariable Calculus and Vector Analysis
(4.0 cr)
or
2xxx or 3xxx Level Honors Calculus Course
MATH 2573H  Honors Calculus III
(4.0 cr)
or
MATH 3593H  Honors Mathematics II
(5.0 cr)
Sequences, Series, and Foundations
MATH 3283W  Sequences, Series, and Foundations: Writing Intensive
[WI]
(4.0 cr)
or
MATH 2283  Sequences, Series, and Foundations
(3.0 cr)
Senior Project
Students should consult with a mathematics adviser prior to beginning the senior year to determine possible topic and possible faculty mentor for the senior project.
MATH 4997W  Senior project (Writing Intensive)
[WI]
(1.0 cr)
or
MATH 4995  Senior Project for CLA
(1.0 cr)
Mathematics Options
Mathematics (No Specialization)
Students who do not choose one of the specializations must complete the basic Mathematics course requirements listed here.
Take 6 or more course(s) including 3 or more subrequirements(s) from the following:
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 5651  Basic Theory of Probability and Statistics
(4.0 cr)
·
MATH 5652  Introduction to Stochastic Processes
(4.0 cr)
·
MATH 5654  Prediction and Filtering
(4.0 cr)
·
STAT 5101  Theory of Statistics I
(4.0 cr)
·
4xxx/5xxx Level Mathematics Electives Requirement
Courses from the Algebra and Analysis lists which have not already taken to fulfill those requirements may be taken to fulfill the Electives requirement.
Take 2 or more course(s) from the following:
·
MATH 4xxx
·
MATH 5xxx
OR
Actuarial Science Specialization
Complete the requirements for the Actuarial Science 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 BAMathematics with Actuarial Specialization requires a minimum of 7 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 Mathematics course requirements. It is recommended that students in this specialization should plan for a summer internship after junior year.
Mathematics Courses for the Actuarial Specialization
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 for Actuarial Specialization
Probability and Statistics
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)
MATH 5652  Introduction to Stochastic Processes
(4.0 cr)
Economics and Business Course Requirements
Introductory Economics
ECON 1101  Principles of Microeconomics
[SOCS, GP]
(4.0 cr)
ECON 1102  Principles of Macroeconomics
(4.0 cr)
Computer Applications
A minimum of six upper division (4xxx level and above) Mathematics courses and a minimum of two upper division Computer Science courses (plus lower division prerequisites) from the courses indicated below are needed to fulfill the requirements for the Computer Applications Specialization. Students who complete the Computer Applications Specialization also meet requirements for a minor in Computer Science.
Algebra Requirements
Theoretical Algebra
MATH 4281  Introduction to Modern Algebra
(4.0 cr)
or
MATH 5248  Cryptology and Number Theory
(4.0 cr)
or
MATH 5251  ErrorCorrecting Codes, Finite Fields, Algebraic Curves
(4.0 cr)
or
MATH 5285H  Honors: Fundamental Structures of Algebra I
(4.0 cr)
or
MATH 5286H  Honors: Fundamental Structures of Algebra II
(4.0 cr)
or
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
MATH 4567  Applied Fourier Analysis
(4.0 cr)
or
MATH 4603  Advanced Calculus I
(4.0 cr)
or
MATH 4604  Advanced Calculus II
(4.0 cr)
or
MATH 5535  Dynamical Systems and Chaos
(4.0 cr)
or
MATH 5525  Introduction to Ordinary Differential Equations
(4.0 cr)
or
MATH 5583  Complex Analysis
(4.0 cr)
or
MATH 5587  Elementary Partial Differential Equations I
(4.0 cr)
or
MATH 5588  Elementary Partial Differential Equations II
(4.0 cr)
or
MATH 5615H  Honors: Introduction to Analysis I
(4.0 cr)
or
MATH 5616H  Honors: Introduction to Analysis II
(4.0 cr)
or
MATH 5651  Basic Theory of Probability and Statistics
(4.0 cr)
or
MATH 5652  Introduction to Stochastic Processes
(4.0 cr)
or
MATH 5654  Prediction and Filtering
(4.0 cr)
or
STAT 5101  Theory of Statistics I
(4.0 cr)
Additional ComputingRelated Mathematics
Mathematical Logic
MATH 5165  Mathematical Logic I
(4.0 cr)
ComputerRelated Mathematics Electives
MATH 4242  Applied Linear Algebra
(4.0 cr)
or
MATH 5166  Mathematical Logic II
(4.0 cr)
or
MATH 5248  Cryptology and Number Theory
(4.0 cr)
or
MATH 5251  ErrorCorrecting Codes, Finite Fields, Algebraic Curves
(4.0 cr)
or
MATH 5285H  Honors: Fundamental Structures of Algebra I
(4.0 cr)
or
MATH 5286H  Honors: Fundamental Structures of Algebra II
(4.0 cr)
or
MATH 5385  Introduction to Computational Algebraic Geometry
(4.0 cr)
or
MATH 5705  Enumerative Combinatorics
(4.0 cr)
or
MATH 5707  Graph Theory and Nonenumerative Combinatorics
(4.0 cr)
or
MATH 5711  Linear Programming and Combinatorial Optimization
(4.0 cr)
Computer Applications Prerequisite Requirements
Introduction to Computing and Programming Concepts
CSCI 1133  Introduction to Computing and Programming Concepts
(4.0 cr)
CSCI 1933  Introduction to Algorithms and Data Structures
(4.0 cr)
or
Introduction to Computer Programming
CSCI 1913  Introduction to Algorithms, Data Structures, and Program Development
(4.0 cr)
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)
CSCI 2011  Discrete Structures of Computer Science
(4.0 cr)
Upper Division Computer Science Courses
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 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 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  Introduction to Machine Learning
(3.0 cr)
Mathematics Education
Six upper division (4xxx level and above) Mathematics courses are required for the Mathematics Education Specialization. These courses prepare students to meet admission requirements for the Secondary Teaching Licensure Program in Mathematics. The topics covered by these courses include Theoretical and Applied AlgebraCombinatorics, Probability, Mathematical Analysis, and Geometry.
Mathematics Education Specialization Requirements
Theoretical Algebra
MATH 4281  Introduction to Modern Algebra
(4.0 cr)
or
MATH 5248  Cryptology and Number Theory
(4.0 cr)
or
MATH 5251  ErrorCorrecting Codes, Finite Fields, Algebraic Curves
(4.0 cr)
or
MATH 5285H  Honors: Fundamental Structures of Algebra I
(4.0 cr)
Applied Algebra: Combinatorics
Note: MATH 4707 fulfills the Applied Algebra requirement only for the Mathematics Education Specialization.
MATH 4707  Introduction to Combinatorics and Graph Theory
(4.0 cr)
or
MATH 5705  Enumerative Combinatorics
(4.0 cr)
or
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 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 5651  Basic Theory of Probability and Statistics
(4.0 cr)
·
MATH 5652  Introduction to Stochastic Processes
(4.0 cr)
·
MATH 5654  Prediction and Filtering
(4.0 cr)
·
STAT 5101  Theory of Statistics I
(4.0 cr)
Mathematics Elective
If a sixth Mathematics course is needed after requirements for this specialization have been met, a course from either the Algebra or Analysis lists or another standard 4xxx or 5xxx level course may be taken.
Take 0 or more course(s) from the following:
Mathematical Biology: Genomics
A minimum of six upper division (4xxx level and above) Mathematics courses and a minimum of three upper division courses in related areas (plus lower division prerequisites) are needed to fulfill the requirements for the specialization in Mathematical Biology: Genomics. Note that some Genomics Elective choices have additional prerequisite courses.
Mathematics Requirements for MathBio  Genomics
Mathematical Modeling
MATH 4428  Mathematical Modeling
(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
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 Elective
If MATH 5445 not is chosen as the Genomics Elective course, then a sixth upper division Mathematics course is needed for this specialization. A course from either the Algebra or Analysis lists or another standard 4xxx or 5xxx level course may be taken to fulfill this requirement for the major.
Take 0 or more course(s) from the following:
·
MATH 5445  Mathematical Analysis of Biological Networks
(4.0 cr)
·
MATH 4xxx
·
MATH 5xxx
Genomics, Computer Science Requirements
Computer Science for Genomics
CSCI 1133, 1933, 2011 plus 4041 may serve as the substitute prerequisite for CSCI 5461.
CSCI 5461  Functional Genomics, Systems Biology, and Bioinformatics
(3.0 cr)
CSCI 3003  Introduction to Computing in Biology
(3.0 cr)
Genomics, Biology Requirements
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) which will also fulfill the Physical Sciences Liberal education degree requirement.
1xxx Level Biology Requirement
BIOL 1009H may be substituted.
BIOL 1009  General Biology
[BIOL]
(4.0 cr)
Genetics 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.
Take 1 or more course(s) from the following:
·
EEB 5042  Quantitative Genetics
(3.0 cr)
·
GCD 4143  Human Genetics
(3.0 cr)
·
MATH 5445  Mathematical Analysis of Biological Networks
(4.0 cr)
·
Plant Genomics
PBIO 5301 has these 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 these additional prerequisite courses: CHEM 1061, CHEM 1065 (lab), CHEM 1062, CHEM 1066 (lab), CHEM 2301; BIOC 3021; BIOL 4003.
·
GCD 4151  Molecular Biology of Cancer
(3.0 cr)
Mathematical Biology: Physiology
A minimum of six upper division (4xxx level and above) Mathematics courses and a minimum of three upper division courses in related areas (plus lower division prerequisites) are needed to fulfill the requirements for the specialization in Mathematical Biology: Physiology. Note that some Physiology Elective choices have additional prerequisite courses.
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
MATH 4242  Applied Linear Algebra
(4.0 cr)
Analysis Requirements
Physiology, Biology, Chemistry Requirements
1xxx Level Biology Requirement
BIOL 1009H may be substituted.
BIOL 1009  General Biology
[BIOL]
(4.0 cr)
Physiology Requirement
PHSL 3061  Principles of Physiology
(4.0 cr)
Physics Prerequisites
1xxx Level Physics
Phys 1301W & 1302W may be substituted.
PHYS 1201W  Introductory Physics for Biology and Premedicine I
[PHYS, WI]
(5.0 cr)
PHYS 1202W  Introductory Physics for Biology and Premedicine II
[PHYS, WI]
(5.0 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 Elective requirement.
Take 1 or more course(s) from the following:
·
PHSL 4700  Cell Physiology
(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:  00067  Math 1271/Math 1281/Math 1371/ 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  Math 1142/1271/1281/1371/1571H 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  00067  Math 1142/1271/1281/1371/1571H 
Grading Basis:  AF only 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  Math 1272/1282/1252/1372/1572 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  Math 1272/1282/1252/1372/1572 
Typically offered:  Every Spring 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  00068  Math 1272/1282/1252/1372/1572 
Grading Basis:  AF only 
Typically offered:  Every Spring 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  Math 2243/2373/2573 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  Math 2243/2373/2573 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  00561  Math 2243/Math 2373/Math 2573H 
Grading Basis:  AF only 
Typically offered:  Every Spring 
Credits:  5.0 [max 5.0] 
Grading Basis:  AF only 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  Math 2263/2373/2573H/3251 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  Math 2263/2373/2573H/3251 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  00069  Math 2263/2374/3251 
Grading Basis:  AF only 
Typically offered:  Every Fall 
Credits:  5.0 [max 5.0] 
Grading Basis:  AF or Aud 
Typically offered:  Every Spring 
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:  1.0 [max 2.0] 
Prerequisites:  2 sem upper div math, % 
Grading Basis:  AF or Aud 
Typically offered:  Every Fall, Spring & Summer 
Credits:  1.0 [max 1.0] 
Grading Basis:  AF or Aud 
Typically offered:  Every Fall, Spring & Summer 
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:  01212  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:  01072  Math 4606/Math 5615/Math 5616 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  01776 
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 3574/5583 
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] 
Course Equivalencies:  00259  MATH 4653/Math 5651/Stat 5101 
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 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:  01212  Math 4242/Math 4457 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  00259  MATH 4653/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:  02133  CSci 1133/CSci 1133H 
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:  00020  ApEc 1102/Econ 1102/1105/1112 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  00458  Acct 2050/ApEc 1251 
Grading Basis:  AF or Aud 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  00025  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:  00196 
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:  01072  Math 4606/Math 5615/Math 5616 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  01776 
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 3574/5583 
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] 
Course Equivalencies:  00259  MATH 4653/Math 5651/Stat 5101 
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 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:  01212  Math 4242/Math 4457 
Typically offered:  Every Fall, Spring & Summer 
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] 
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:  02133  CSci 1133/CSci 1133H 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  00008 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
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 Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  02004 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  02015 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  01666  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:  01666 
Prerequisites:  [2041 or #], grad student 
Typically offered:  Every Fall 
Credits:  3.0 [max 3.0] 
Course Equivalencies:  CSci 5512W/5512 
Typically offered:  Every Spring 
Credits:  3.0 [max 3.0] 
Typically offered:  Periodic 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 & 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:  01072  Math 4606/Math 5615/Math 5616 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  01776 
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 3574/5583 
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] 
Course Equivalencies:  00259  MATH 4653/Math 5651/Stat 5101 
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 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:  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:  01212  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:  00259  MATH 4653/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:  02621  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:  02015 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  02004 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  02133  CSci 1133/CSci 1133H 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  00008 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  01525  Biol 1009/Biol 1009H 
Typically offered:  Every Fall, Spring & Summer 
Credits:  3.0 [max 3.0] 
Course Equivalencies:  00052 
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:  01212  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:  00259  MATH 4653/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:  01525  Biol 1009/Biol 1009H 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  01354 
Typically offered:  Every Fall 
Credits:  5.0 [max 5.0] 
Course Equivalencies:  00078  Phys 1101W/1201W/1301W/1401V/1 
Typically offered:  Every Fall, Spring & Summer 
Credits:  5.0 [max 5.0] 
Course Equivalencies:  00079 
Typically offered:  Every Fall, Spring & Summer 
Credits:  3.0 [max 3.0] 
Course Equivalencies:  01884  Chem 1061/Chem 1071H 
Typically offered:  Every Fall, Spring & Summer 
Credits:  1.0 [max 1.0] 
Course Equivalencies:  01878  Chem 1065/Chem 1075H 
Grading Basis:  AF only 
Typically offered:  Every Fall, Spring & Summer 
Credits:  3.0 [max 3.0] 
Course Equivalencies:  01885  Chem 1062/Chem 1072H 
Typically offered:  Every Fall, Spring & Summer 
Credits:  1.0 [max 1.0] 
Course Equivalencies:  01879  Chem 1066/Chem 1076H 
Grading Basis:  AF only 
Typically offered:  Every Fall, Spring & Summer 
Credits:  3.0 [max 3.0] 
Grading Basis:  AF or Aud 
Typically offered:  Every Fall 
Credits:  3.0 [max 3.0] 
Course Equivalencies:  BioC/Phsl 5444 
Typically offered:  Every Spring 
Credits:  3.0 [max 3.0] 
Course Equivalencies:  NSc 5202/Phsl 5202 
Typically offered:  Every Spring 