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.
For information about University of Minnesota admission requirements, visit the
Office of Admissions
website.
Required prerequisites
Calculus I & II
Take exactly 2 course(s) totaling exactly 8 credit(s) including 2 or more subrequirements(s) from the following:
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)
Required prerequisites
2xxx/3xxxHLevel Calculus Course
Take exactly 1 course(s) totaling 4  5 credit(s) from the following:
Linear Algebra & Differential Equations
·
MATH 2243  Linear Algebra and Differential Equations
(4.0 cr)
or
MATH 2373  CSE Linear Algebra and Differential Equations
(4.0 cr)
or
MATH 2574H  Honors Calculus IV
(4.0 cr)
·
Multivariable Calculus
·
MATH 2263  Multivariable Calculus
(4.0 cr)
or
MATH 2374  CSE Multivariable Calculus and Vector Analysis
(4.0 cr)
or
MATH 2573H  Honors Calculus III
(4.0 cr)
·
Honors Mathematics
·
MATH 3592H  Honors Mathematics I
(5.0 cr)
or
MATH 3593H  Honors Mathematics II
(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.
CLA BA degrees require 18 upper division (3xxxlevel or higher) credits outside the major designator. These credits must be taken in designators different from the major designator and cannot include courses that are crosslisted with the major designator. The major designator for the Mathematics BA is MATH.
STAT 5101 and STAT 5102 are the only courses from different department that may count towards the mathematics BA. The content of STAT 5101 is the same as MATH 5651, and only one of these courses may be taken, not both.
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 advisor about appropriate course choices.
Students may earn no more than one undergraduate degree in mathematics: a BA, a BS, or a minor.
At least 13 upperdivision credits in the major must be taken at the University of Minnesota Twin Cities campus.
All incoming CLA freshmen must complete the FirstYear Experience course sequence.
Remaining 2xxx/3xxxHLevel Calculus Course
Courses that counted towards the Admissions requirement for the mathematics BA may not also count towards this requirement.
Take exactly 1 course(s) totaling 4  5 credit(s) from the following:
Linear Algebra & Differential Equations
MATH 2243  Linear Algebra and Differential Equations
(4.0 cr)
or
MATH 2373  CSE Linear Algebra and Differential Equations
(4.0 cr)
or
MATH 2574H  Honors Calculus IV
(4.0 cr)
or
Multivariable Calculus
MATH 2263  Multivariable Calculus
(4.0 cr)
or
MATH 2374  CSE Multivariable Calculus and Vector Analysis
(4.0 cr)
or
MATH 2573H  Honors Calculus III
(4.0 cr)
or
Honors Mathematics
MATH 3593H  Honors Mathematics II
(5.0 cr)
Sequences, Series, and Foundations
This course requirement will be waived for students who take MATH 3592H and 3593H.
Take exactly 1 course(s) totaling 3  4 credit(s) from the following:
·
MATH 2283  Sequences, Series, and Foundations
(3.0 cr)
or
MATH 3283W  Sequences, Series, and Foundations: Writing Intensive
[WI]
(4.0 cr)
Capstone
Students pursuing the BA mathematics major program will develop not only the ability to identify, define, and solve mathematical problems but also the ability to communicate effectively about those problems and solutions. Students should consult with a mathematics advisor prior to beginning the senior year to determine possible topic and possible faculty mentor for the capstone.
Take exactly 1 course(s) totaling exactly 1 credit(s) from the following:
Students who double major and choose to complete the capstone requirement in their other major may waive the mathematics BA capstone, and they do not need to replace the 1 credit.
MATH 4995
A student in MATH 4995 will complete a project on mathematical content that is new to the student and at the level of an upper division MATH course. The project can be a 510 page paper or other project such as a computer program or lesson plan, subject to the approval of the instructor.
MATH 4995  Senior Project for CLA
(1.0 cr)
or
MATH 4997W
A student in MATH 4997W will complete a paper of at least 10 pages that goes through at least one cycle of revisions.
MATH 4997W  Senior project (Writing Intensive)
[WI]
(1.0 cr)
Upper Division Writing Intensive within the major
Students are required to take one upper division writing intensive course within the major. If that requirement has not been satisfied within the core major requirements, students must choose one course from the following list. Some of these courses may also fulfill other major requirements.
Take 0  1 course(s) from the following:
·
MATH 3283W  Sequences, Series, and Foundations: Writing Intensive
[WI]
(4.0 cr)
·
MATH 4067W  Actuarial Mathematics in Practice
[WI]
(3.0 cr)
·
MATH 4997W  Senior project (Writing Intensive)
[WI]
(1.0 cr)
Mathematics Options
Mathematics (No Specialization)
Students who do not complete a subplan specialization must complete the following mathematics requirements.
The Mathematics BA with no specialization requires a minimum of six 4xxxlevel and above mathematics courses (includes STAT 5101 and 5102). This does not include the capstone, and the courses must be chosen from the courses listed in this specialization.
For the Mathematics BA with no specialization, at least 11 upperdivision credits in the major must be taken at the UMTC campus.
Take exactly 6 course(s) from the following:
Algebra
Both courses can be from the theoretical algebra list.
Take exactly 2 course(s) totaling exactly 8 credit(s) from the following:
Theoretical Algebra
Take 1  2 course(s) totaling 4  8 credit(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)
·
Further Discrete or Algebraic Math
Take 0  1 course(s) totaling 0  4 credit(s) from the following:
·
MATH 4242  Applied Linear Algebra
(4.0 cr)
·
MATH 5165  Mathematical Logic I
(4.0 cr)
·
MATH 5335  Geometry I
(4.0 cr)
·
MATH 5345H  Honors: Introduction to Topology
(4.0 cr)
·
MATH 5485  Introduction to Numerical Methods I
(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)
·
Analysis Electives
STAT 5102 does not count towards the Analysis requirement.
Take exactly 2 course(s) totaling exactly 8 credit(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 5378  Differential Geometry
(4.0 cr)
·
MATH 5445  Mathematical Analysis of Biological Networks
(4.0 cr)
·
MATH 5447  Theoretical Neuroscience
(4.0 cr)
·
MATH 5467  Introduction to the Mathematics of Image and Data Analysis
(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)
·
Mathematics Electives
Take exactly 2 course(s) totaling 6  8 credit(s) from the following:
·
MATH 4065  Theory of Interest
(4.0 cr)
·
MATH 4151  Elementary Set Theory
(3.0 cr)
·
MATH 4152  Elementary Mathematical Logic
(3.0 cr)
·
MATH 4242  Applied Linear Algebra
(4.0 cr)
·
MATH 4281  Introduction to Modern Algebra
(4.0 cr)
·
MATH 4428  Mathematical Modeling
(4.0 cr)
·
MATH 4512  Differential Equations with Applications
(3.0 cr)
·
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 4653  Elementary Probability
(4.0 cr)
·
MATH 4707  Introduction to Combinatorics and Graph Theory
(4.0 cr)
·
MATH 5067  Actuarial Mathematics I
(4.0 cr)
·
MATH 5068  Actuarial Mathematics II
(4.0 cr)
·
MATH 5075  Mathematics of Options, Futures, and Derivative Securities I
(4.0 cr)
·
MATH 5076  Mathematics of Options, Futures, and Derivative Securities II
(4.0 cr)
·
MATH 5165  Mathematical Logic I
(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 5335  Geometry I
(4.0 cr)
·
MATH 5345H  Honors: Introduction to Topology
(4.0 cr)
·
MATH 5378  Differential Geometry
(4.0 cr)
·
MATH 5385  Introduction to Computational Algebraic Geometry
(4.0 cr)
·
MATH 5445  Mathematical Analysis of Biological Networks
(4.0 cr)
·
MATH 5447  Theoretical Neuroscience
(4.0 cr)
·
MATH 5467  Introduction to the Mathematics of Image and Data Analysis
(4.0 cr)
·
MATH 5485  Introduction to Numerical Methods I
(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 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 5651  Basic Theory of Probability and Statistics
(4.0 cr)
or
STAT 5101  Theory of Statistics I
(4.0 cr)
·
STAT 5102  Theory of Statistics II
(4.0 cr)
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 Specialization
Complete the requirements for the mathematical biology: genomics subplan.
OR
Mathematical Biology: Physiology Specialization
Complete the requirements for the mathematical biology: physiology subplan.
Program Subplans
A subplan is not required for this program.
Actuarial Science
The mathematics BA with a specialization in actuarial science requires a minimum of seven 4xxxlevel and above mathematics courses (includes STAT 5101 and 5102). This does not include the capstone, and the courses must be chosen from the courses listed in this subplan.
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.
For the mathematics BA with a specialization in actuarial science, at least 22 upper division credits in the major must be taken at the University of Minnesota Twin Cities campus.
Algebra
Theoretical Algebra
Take exactly 1 course(s) totaling exactly 4 credit(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 exactly 1 course(s) totaling exactly 4 credit(s) from the following:
·
MATH 4242  Applied Linear Algebra
(4.0 cr)
Analysis
Probability and Statistics
Take exactly 1 course(s) totaling exactly 4 credit(s) from the following:
·
MATH 5651  Basic Theory of Probability and Statistics
(4.0 cr)
or
STAT 5101  Theory of Statistics I
(4.0 cr)
Stochastic Processes
Take exactly 1 course(s) totaling exactly 4 credit(s) from the following:
·
MATH 5652  Introduction to Stochastic Processes
(4.0 cr)
Computer Science
Take exactly 1 course(s) totaling exactly 4 credit(s) from the following:
Introductory Economics and Business
Take exactly 4 course(s) totaling exactly 15 credit(s) from the following:
·
ECON 1101  Principles of Microeconomics
[SOCS, GP]
(4.0 cr)
·
ECON 1102  Principles of Macroeconomics
(4.0 cr)
·
ACCT 2050  Introduction to Financial Reporting
(4.0 cr)
·
FINA 3001  Finance Fundamentals
(3.0 cr)
Computer Applications
The mathematics BA with a specialization in computer applications requires a minimum of six 4xxxlevel and above mathematics courses (includes STAT 5101 and 5102). This does not include the capstone, and the courses must be chosen from the courses listed in this subplan.
Students who complete the computer applications specialization also meet requirements for a minor in computer science.
For the mathematics BA with a specialization in computer applications, at least 15 upper division credits in the major must be taken at the University of Minnesota Twin Cities campus.
Algebra
Theoretical Algebra
Take exactly 1 course(s) totaling exactly 4 credit(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 exactly 1 course(s) totaling exactly 4 credit(s) from the following:
·
MATH 5485  Introduction to Numerical Methods I
(4.0 cr)
Analysis
STAT 5102 does not count towards the analysis requirement.
Numerical Methods
Take exactly 1 course(s) totaling exactly 4 credit(s) from the following:
·
MATH 5486  Introduction To Numerical Methods II
(4.0 cr)
Analysis Elective
Take exactly 1 course(s) totaling exactly 4 credit(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 5378  Differential Geometry
(4.0 cr)
·
MATH 5445  Mathematical Analysis of Biological Networks
(4.0 cr)
·
MATH 5447  Theoretical Neuroscience
(4.0 cr)
·
MATH 5467  Introduction to the Mathematics of Image and Data Analysis
(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)
ComputingRelated Mathematics
Mathematical Logic
Take exactly 1 course(s) totaling exactly 4 credit(s) from the following:
·
MATH 5165  Mathematical Logic I
(4.0 cr)
ComputerRelated Mathematics Electives
Take exactly 1 course(s) totaling exactly 4 credit(s) from the following:
·
MATH 4242  Applied Linear 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)
·
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)
Introductory Computer Science
Introduction to Computing and Programming Concepts
Take exactly 2 course(s) totaling exactly 8 credit(s) from the following:
·
CSCI 1133  Introduction to Computing and Programming Concepts
(4.0 cr)
or
CSCI 1133H  Honors 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
Take exactly 2 course(s) totaling exactly 8 credit(s) from the following:
·
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)
Discrete Structures
Take exactly 1 course(s) totaling exactly 4 credit(s) from the following:
·
CSCI 2011  Discrete Structures of Computer Science
(4.0 cr)
or
CSCI 2011H  Honors Discrete Structures of Computer Science
(4.0 cr)
UpperDivision Computer Science Electives
Take exactly 2 course(s) totaling 6  8 credit(s) from the following:
·
CSCI 4011  Formal Languages and Automata Theory
(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  Machine Learning Fundamentals
(3.0 cr)
·
CSCI 4041  Algorithms and Data Structures
(4.0 cr)
Mathematics Education
The mathematics BA with a specialization in mathematics education requires a minimum of six 4xxxlevel and above mathematics courses (includes STAT 5101 and 5102). This does not include the capstone, and the courses must be chosen from the courses listed in this subplan.
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.
For the mathematics BA with a specialization in mathematics education, at least 12 upper division credits in the major must be taken at the University of Minnesota Twin Cities campus.
Algebra
Theoretical Algebra
Take exactly 1 course(s) totaling exactly 4 credit(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)
Applied Algebra: Combinatorics
Note: MATH 4707 fulfills the applied algebra requirement only for the mathematics education specialization.
Take exactly 1 course(s) totaling exactly 4 credit(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
Take exactly 1 course(s) totaling exactly 4 credit(s) from the following:
·
MATH 5335  Geometry I
(4.0 cr)
Probability and Statistics
MATH 5651/STAT 5101 can count towards the the probability and statistics and the analysis electives requirement.
Take exactly 1 course(s) totaling exactly 4 credit(s) from the following:
·
MATH 4653  Elementary Probability
(4.0 cr)
Analysis Electives
MATH 5651/STAT 5101 can count towards the the probability and statistics and the analysis electives requirement. STAT 5102 does not count towards the analysis requirement.
Take exactly 2 course(s) totaling exactly 8 credit(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 5378  Differential Geometry
(4.0 cr)
·
MATH 5445  Mathematical Analysis of Biological Networks
(4.0 cr)
·
MATH 5447  Theoretical Neuroscience
(4.0 cr)
·
MATH 5467  Introduction to the Mathematics of Image and Data Analysis
(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)
Mathematics Elective
If a sixth mathematics course is needed after requirements for this specialization have been met, a course this list may be taken. Any course listed below that is not already counting towards another major requirement may count as a mathematics elective.
Take 0  1 course(s) totaling 0  4 credit(s) from the following:
·
MATH 4065  Theory of Interest
(4.0 cr)
·
MATH 4151  Elementary Set Theory
(3.0 cr)
·
MATH 4152  Elementary Mathematical Logic
(3.0 cr)
·
MATH 4242  Applied Linear Algebra
(4.0 cr)
·
MATH 4281  Introduction to Modern Algebra
(4.0 cr)
·
MATH 4428  Mathematical Modeling
(4.0 cr)
·
MATH 4512  Differential Equations with Applications
(3.0 cr)
·
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 4653  Elementary Probability
(4.0 cr)
·
MATH 4707  Introduction to Combinatorics and Graph Theory
(4.0 cr)
·
MATH 5067  Actuarial Mathematics I
(4.0 cr)
·
MATH 5068  Actuarial Mathematics II
(4.0 cr)
·
MATH 5075  Mathematics of Options, Futures, and Derivative Securities I
(4.0 cr)
·
MATH 5076  Mathematics of Options, Futures, and Derivative Securities II
(4.0 cr)
·
MATH 5165  Mathematical Logic I
(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 5345H  Honors: Introduction to Topology
(4.0 cr)
·
MATH 5378  Differential Geometry
(4.0 cr)
·
MATH 5385  Introduction to Computational Algebraic Geometry
(4.0 cr)
·
MATH 5445  Mathematical Analysis of Biological Networks
(4.0 cr)
·
MATH 5447  Theoretical Neuroscience
(4.0 cr)
·
MATH 5467  Introduction to the Mathematics of Image and Data Analysis
(4.0 cr)
·
MATH 5485  Introduction to Numerical Methods I
(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)
·
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)
·
STAT 5102  Theory of Statistics II
(4.0 cr)
Mathematical Biology: Genomics
The mathematics BA with a specialization in mathematical biology: Genomics requires a minimum of six 4xxxlevel and above mathematics courses (includes STAT 5101 and 5102). This does not include the capstone, and the courses must be chosen from the courses listed in this subplan.
For the mathematics BA with a specialization in mathematical biology: genomics, at least 16 upper division credits in the major must be taken at the University of Minnesota Twin Cities campus.
Mathematical Modeling
Take exactly 1 course(s) totaling exactly 4 credit(s) from the following:
·
MATH 4428  Mathematical Modeling
(4.0 cr)
Algebra
Theoretical Algebra
Take exactly 1 course(s) totaling exactly 4 credit(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 exactly 1 course(s) totaling exactly 4 credit(s) from the following:
·
MATH 4242  Applied Linear Algebra
(4.0 cr)
Analysis
STAT 5102 does not count towards the analysis requirement.
Genomics Analysis
Take exactly 1 course(s) totaling exactly 4 credit(s) from the following:
·
MATH 5525  Introduction to Ordinary Differential Equations
(4.0 cr)
·
MATH 5535  Dynamical Systems and Chaos
(4.0 cr)
Probability and Statistics
Take exactly 1 course(s) totaling exactly 4 credit(s) from the following:
Biology
Take exactly 1 course(s) totaling exactly 4 credit(s) from the following:
General Biology
·
BIOL 1009  General Biology
[BIOL]
(4.0 cr)
or
BIOL 1009H  Honors: General Biology
[BIOL]
(4.0 cr)
Genetics
Take exactly 1 course(s) totaling exactly 3 credit(s) from the following:
·
GCD 3022  Genetics
(3.0 cr)
Genomics Elective
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. Some of these courses many have additional prerequisites.
The 5xxxlevel CSCI course which was not taken to fulfill the computer science requirement may (with its prerequisites) be used to fulfill the genomics elective requirement. GCD 4151 has these additional prerequisite courses: CHEM 1061, CHEM 1065 (lab), CHEM 1062, CHEM 1066 (lab), CHEM 2301; BIOC 3021; BIOL 4003.
Take 1 or more course(s) totaling 3 or more credit(s) from the following:
·
EEB 5042  Quantitative Genetics
(3.0 cr)
·
GCD 4143  Human Genetics and Genomics
(3.0 cr)
·
GCD 4151  Molecular Biology of Cancer
(3.0 cr)
·
MATH 5445  Mathematical Analysis of Biological Networks
(4.0 cr)
Computer Science Prerequisites
Option 1: Fulfills prerequisites for CSCI 5461 only
Take exactly 1 course(s) totaling exactly 3 credit(s) from the following:
CSCI 3003
·
CSCI 3003  Introduction to Computing in Biology
(3.0 cr)
or
Option 2: Fulfills prerequisites for CSCI 5461 and 5481
Take exactly 4 course(s) totaling exactly 16 credit(s) from the following:
CSCI 1103 or 1113
·
CSCI 1103  Introduction to Computer Programming in Java
(4.0 cr)
or
CSCI 1133  Introduction to Computing and Programming Concepts
(4.0 cr)
·
CSCI 1913
·
CSCI 1933  Introduction to Algorithms and Data Structures
(4.0 cr)
·
CSCI 2011/H and 4041/H
CSCI 2011  Discrete Structures of Computer Science
(4.0 cr)
or
CSCI 2011H  Honors Discrete Structures of Computer Science
(4.0 cr)
CSCI 4041  Algorithms and Data Structures
(4.0 cr)
or
Option 3: Fulfills prerequisites for CSCI 5461 and 5481
Take exactly 4 course(s) totaling exactly 16 credit(s) from the following:
CSCI 1133/H
·
CSCI 1133  Introduction to Computing and Programming Concepts
(4.0 cr)
or
CSCI 1133H  Honors Introduction to Computing and Programming Concepts
(4.0 cr)
·
CSCI 1933
·
CSCI 1933  Introduction to Algorithms and Data Structures
(4.0 cr)
·
CSCI 2011/H and 4041/H
CSCI 2011  Discrete Structures of Computer Science
(4.0 cr)
or
CSCI 2011H  Honors Discrete Structures of Computer Science
(4.0 cr)
CSCI 4041  Algorithms and Data Structures
(4.0 cr)
Computer Science
Take exactly 1 course(s) totaling exactly 3 credit(s) from the following:
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. Any course listed below that is not already counting towards another major requirement may count as a mathematics elective.
Take 0  1 course(s) totaling 0  4 credit(s) from the following:
·
MATH 4065  Theory of Interest
(4.0 cr)
·
MATH 4151  Elementary Set Theory
(3.0 cr)
·
MATH 4152  Elementary Mathematical Logic
(3.0 cr)
·
MATH 4242  Applied Linear Algebra
(4.0 cr)
·
MATH 4281  Introduction to Modern Algebra
(4.0 cr)
·
MATH 4428  Mathematical Modeling
(4.0 cr)
·
MATH 4512  Differential Equations with Applications
(3.0 cr)
·
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 4653  Elementary Probability
(4.0 cr)
·
MATH 4707  Introduction to Combinatorics and Graph Theory
(4.0 cr)
·
MATH 5067  Actuarial Mathematics I
(4.0 cr)
·
MATH 5068  Actuarial Mathematics II
(4.0 cr)
·
MATH 5075  Mathematics of Options, Futures, and Derivative Securities I
(4.0 cr)
·
MATH 5076  Mathematics of Options, Futures, and Derivative Securities II
(4.0 cr)
·
MATH 5165  Mathematical Logic I
(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 5335  Geometry I
(4.0 cr)
·
MATH 5345H  Honors: Introduction to Topology
(4.0 cr)
·
MATH 5378  Differential Geometry
(4.0 cr)
·
MATH 5385  Introduction to Computational Algebraic Geometry
(4.0 cr)
·
MATH 5445  Mathematical Analysis of Biological Networks
(4.0 cr)
·
MATH 5447  Theoretical Neuroscience
(4.0 cr)
·
MATH 5467  Introduction to the Mathematics of Image and Data Analysis
(4.0 cr)
·
MATH 5485  Introduction to Numerical Methods I
(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 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)
·
STAT 5102  Theory of Statistics II
(4.0 cr)
Mathematical Biology: Physiology
The mathematics BA with a specialization in mathematical biology: physiology requires a minimum of six 4xxxlevel and above mathematics courses (includes STAT 5101 and 5102). This does not include the capstone, and the courses must be chosen from the courses listed in this subplan.
For the mathematics BA with a specialization in mathematical biology: physiology, at least 16 upper division credits in the major must be taken at the University of Minnesota Twin Cities campus.
Mathematical Modeling
Take exactly 1 course(s) totaling exactly 4 credit(s) from the following:
·
MATH 4428  Mathematical Modeling
(4.0 cr)
Algebra
Theoretical Algebra
Take exactly 1 course(s) totaling exactly 4 credit(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 exactly 1 course(s) totaling exactly 4 credit(s) from the following:
·
MATH 4242  Applied Linear Algebra
(4.0 cr)
Analysis
STAT 5102 does not count towards the analysis requirement.
Physiology Analysis
Take exactly 1 course(s) totaling exactly 4 credit(s) from the following:
·
MATH 5525  Introduction to Ordinary Differential Equations
(4.0 cr)
·
MATH 5535  Dynamical Systems and Chaos
(4.0 cr)
Probability & Statistics
Take exactly 1 course(s) totaling exactly 4 credit(s) from the following:
Biology
Take exactly 1 course(s) totaling exactly 4 credit(s) from the following:
General Biology
·
BIOL 1009  General Biology
[BIOL]
(4.0 cr)
or
BIOL 1009H  Honors: General Biology
[BIOL]
(4.0 cr)
Physics
Introductory Physics I
Take exactly 1 course(s) totaling 4  5 credit(s) from the following:
·
PHYS 1201W  Introductory Physics for Biology and Premedicine I
[PHYS, WI]
(5.0 cr)
or
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)
Introductory Physics II
Take exactly 1 course(s) totaling 4  5 credit(s) from the following:
·
PHYS 1202W  Introductory Physics for Biology and Premedicine II
[PHYS, WI]
(5.0 cr)
or
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)
Chemistry
Take exactly 4 course(s) totaling exactly 8 credit(s) from the following:
Chemical Principles I
CHEM 1061  Chemical Principles I
[PHYS]
(3.0 cr)
with
CHEM 1065  Chemical Principles I Laboratory
[PHYS]
(1.0 cr)
or
CHEM 1071H  Honors Chemistry I
[PHYS]
(3.0 cr)
with
CHEM 1075H  Honors Chemistry I Laboratory
[PHYS]
(1.0 cr)
·
Chemical Principles II
CHEM 1062  Chemical Principles II
[PHYS]
(3.0 cr)
with
CHEM 1066  Chemical Principles II Laboratory
[PHYS]
(1.0 cr)
or
CHEM 1072H  Honors Chemistry II
[PHYS]
(3.0 cr)
with
CHEM 1076H  Honors Chemistry II Laboratory
[PHYS]
(1.0 cr)
Physiology
Principles of Physiology
Take exactly 1 course(s) totaling exactly 4 credit(s) from the following:
·
PHSL 3061  Principles of Physiology
(4.0 cr)
Physiology Electives
MATH 5445/5447 may only count if it is not counting towards another subplan requirement. Some of these courses many have additional prerequisites. NSC 5202 has the following prerequisites: CHEM 2301, BIOC 3021, NSCI 3101, NSCI 3102.
Take exactly 1 course(s) totaling 3  4 credit(s) from the following:
·
MATH 5445  Mathematical Analysis of Biological Networks
(4.0 cr)
·
MATH 5447  Theoretical Neuroscience
(4.0 cr)
·
NSC 5202  Theoretical Neuroscience: Systems and Information Processing
(3.0 cr)
·
PHSL 4702  Cell Physiology
(3.0 cr)
·
PHSL 5444  Muscle
(3.0 cr)


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/ 
Typically offered:  Every Fall & Spring 
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 Fall, Spring & Summer 
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/ 
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 & Summer 
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 
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 & Summer 
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 
Grading Basis:  AF only 
Typically offered:  Every Fall 
Credits:  5.0 [max 5.0] 
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 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 
Typically offered:  Every Fall & Spring 
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:  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 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  Math 2263/Math 2374/Math 2573H 
Grading Basis:  AF only 
Typically offered:  Every Fall 
Credits:  5.0 [max 5.0] 
Grading Basis:  AF or Aud 
Typically offered:  Every Spring 
Credits:  3.0 [max 3.0] 
Course Equivalencies:  Math 2283/3283W 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  Math 2283/3283W 
Typically offered:  Every Fall & Spring 
Credits:  1.0 [max 1.0] 
Grading Basis:  AF or Aud 
Typically offered:  Every Fall, Spring & Summer 
Credits:  1.0 [max 2.0] 
Prerequisites:  2 sem upper div math, % 
Grading Basis:  AF or Aud 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  Math 2283/3283W 
Typically offered:  Every Fall & Spring 
Credits:  3.0 [max 3.0] 
Grading Basis:  AF only 
Typically offered:  Every 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:  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 4152/5165 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Grading Basis:  AF only 
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 
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:  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:  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 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] 
Grading Basis:  AF only 
Typically offered:  Every Fall & Spring 
Credits:  3.0 [max 3.0] 
Typically offered:  Every Fall 
Credits:  3.0 [max 3.0] 
Course Equivalencies:  Math 4152/5165 
Typically offered:  Every Spring 
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 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Spring 
Credits:  3.0 [max 3.0] 
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] 
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 Spring 
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] 
Course Equivalencies:  Math 4152/5165 
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 
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] 
Grading Basis:  AF only 
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 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 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] 
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:  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] 
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:  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:  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:  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:  3.0 [max 3.0] 
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:  2.0 [max 2.0] 
Typically offered:  Every Fall & Spring 
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 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 & 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] 
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 1133/CSci 1133H 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  CSci 1133/CSci 1133H 
Grading Basis:  AF only 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  CSci 1902/CSci 1933/CSci 1933H 
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:  CSci 2011/CSci 2011H 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  CSci 2011/CSci 2011H 
Grading Basis:  AF only 
Typically offered:  Every Spring 
Credits:  4.0 [max 4.0] 
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:  CSci 4041/CSci 4041H 
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 & 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 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] 
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:  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 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] 
Grading Basis:  AF only 
Typically offered:  Every Fall & Spring 
Credits:  3.0 [max 3.0] 
Typically offered:  Every Fall 
Credits:  3.0 [max 3.0] 
Course Equivalencies:  Math 4152/5165 
Typically offered:  Every Spring 
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 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Spring 
Credits:  3.0 [max 3.0] 
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] 
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 Spring 
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] 
Course Equivalencies:  Math 4152/5165 
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 
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 
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 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 & 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] 
Course Equivalencies:  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 & 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 & Spring 
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] 
Course Equivalencies:  Biol 1009/Biol 1009H 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  Biol 1009/Biol 1009H 
Grading Basis:  AF only 
Typically offered:  Every Spring 
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:  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:  3.0 [max 3.0] 
Course Equivalencies:  CSci 3003/CSci 5465 
Typically offered:  Fall Odd Year 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  CSci 1133/CSci 1133H 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  CSci 1902/CSci 1933/CSci 1933H 
Typically offered:  Every Fall, Spring & Summer 
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:  CSci 2011/CSci 2011H 
Grading Basis:  AF only 
Typically offered:  Every 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 1133/CSci 1133H 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  CSci 1133/CSci 1133H 
Grading Basis:  AF only 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  CSci 1902/CSci 1933/CSci 1933H 
Typically offered:  Every Fall, Spring & Summer 
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:  CSci 2011/CSci 2011H 
Grading Basis:  AF only 
Typically offered:  Every Spring 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  CSci 4041/CSci 4041H 
Typically offered:  Every Fall & Spring 
Credits:  3.0 [max 3.0] 
Typically offered:  Every Spring 
Credits:  3.0 [max 3.0] 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Grading Basis:  AF only 
Typically offered:  Every Fall & Spring 
Credits:  3.0 [max 3.0] 
Typically offered:  Every Fall 
Credits:  3.0 [max 3.0] 
Course Equivalencies:  Math 4152/5165 
Typically offered:  Every Spring 
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 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Spring 
Credits:  3.0 [max 3.0] 
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] 
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 Spring 
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] 
Course Equivalencies:  Math 4152/5165 
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 
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] 
Grading Basis:  AF only 
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 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 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] 
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 & Spring 
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] 
Course Equivalencies:  Biol 1009/Biol 1009H 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  Biol 1009/Biol 1009H 
Grading Basis:  AF only 
Typically offered:  Every Spring 
Credits:  5.0 [max 5.0] 
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 
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:  5.0 [max 5.0] 
Course Equivalencies:  Phys 1202W/1302W/1402V/1502V 
Typically offered:  Every Fall, Spring & Summer 
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:  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 1061/Chem 1071H/Chem 1081 
Grading Basis:  AF only 
Typically offered:  Every Fall 
Credits:  1.0 [max 1.0] 
Course Equivalencies:  Chem 1065/Chem 1075H 
Grading Basis:  AF only 
Typically offered:  Every Fall 
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:  Chem 1062/Chem 1072H 
Grading Basis:  AF only 
Typically offered:  Every Spring 
Credits:  1.0 [max 1.0] 
Course Equivalencies:  Chem 1066/Chem 1076H 
Grading Basis:  AF only 
Typically offered:  Every Spring 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  Phsl 3063/Phsl 3071 
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:  3.0 [max 3.0] 
Course Equivalencies:  NSc 5202/Phsl 5202 
Typically offered:  Every Spring 
Credits:  3.0 [max 3.0] 
Course Equivalencies:  AnSc 5702/Phsl 4702/Phsl 5702 
Grading Basis:  AF or Aud 
Typically offered:  Every Fall 
Credits:  3.0 [max 3.0] 
Course Equivalencies:  BioC 5444/Phsl 5444/BMEN 5444 
Typically offered:  Every Spring 