Campuses:
Twin Cities campus
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Twin Cities Campus
Mathematics B.S.Math.School of Mathematics
College of Science and Engineering
The mission of the program is to provide high-quality mathematics instruction in a stimulating intellectual atmosphere. The goal is to educate students at all levels to provide cultural enrichment, to give them the analytic tools they need to become responsible citizens, and to prepare them for careers involving mathematics.
The School of Mathematics offers a program leading to the bachelor of science degree. The course of study is flexible and may be adapted to satisfy a wide variety of interests and needs. Students may prepare for graduate study in mathematics or emphasize various fields of interest, such as preparation for secondary school teaching, actuarial science, or programs in applied mathematics, including industrial mathematics, biology, mathematics applicable to computer science, and numerical analysis.
Program Delivery
This program is available:
Admission Requirements
Students must complete
5 courses
before admission to the program.
Freshman and transfer students are usually admitted to pre-major status
before admission to this major.
Successful completion of five (5) courses is required for admission to upper division as a math major: three (3) calculus courses: Calculus I (1371/1271/1571H), Calculus II (1372/1272/1572H), and one 2xxx level Calculus course - either Linear Algebra & Differential Equations (2373/2243/2574H/3592H) or Multivariable Calculus (2374/2263/2573H/3593H) - plus two (2) Calculus-based Physics courses (see list below).
For information about University of Minnesota admission requirements, visit the
Office of Admissions
website.
Required prerequisites
Calculus Sequence
CSE Calculus Sequence
Either MATH 2373 Linear Algebra & Differential Equations (here) or MATH 2374 Multivariable Calculus (see program requirements) can be taken to meet the requirement for admission to upper division.
Calculus I
MATH 1371 - CSE Calculus I
[MATH]
(4.0 cr)
or
MATH 1271 - Calculus I
[MATH]
(4.0 cr)
or
MATH 1571H - Honors Calculus I
[MATH]
(4.0 cr)
Calculus II
MATH 1372 - CSE Calculus II
(4.0 cr)
or
MATH 1272 - Calculus II
(4.0 cr)
or
MATH 1572H - Honors Calculus II
(4.0 cr)
2xxx Level Calculus Course
MATH 2373 - CSE Linear Algebra and Differential Equations
(4.0 cr)
or
MATH 2243 - Linear Algebra and Differential Equations
(4.0 cr)
or
MATH 2374 - CSE Multivariable Calculus and Vector Analysis
(4.0 cr)
or
MATH 2263 - Multivariable Calculus
(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)
Required prerequisites
Physics
PHYS 1301W - Introductory Physics for Science and Engineering I
[PHYS, WI]
(4.0 cr)
or
PHYS 1401V - Honors Physics I
[PHYS, WI]
(4.0 cr)
or
PHYS 1501V {Inactive}
[PHYS, WI]
(4.0 cr)
PHYS 1302W - Introductory Physics for Science and Engineering II
[PHYS, WI]
(4.0 cr)
or
PHYS 1402V - Honors Physics II
[PHYS, WI]
(4.0 cr)
or
PHYS 1502V {Inactive}
[PHYS, WI]
(4.0 cr)
General Requirements
All students in baccalaureate degree programs are required to complete general University and college requirements including writing and liberal education courses. For more information about University-wide requirements, see the
liberal education requirements.
Required courses for the major, minor or certificate in which a student receives a D grade (with or without plus or minus) do not count toward the major, minor or certificate (including transfer courses).
Program Requirements
Students must complete eight (8) upper division math courses at 4xxx and above plus a computer science course (see list below) and two (2) technical elective courses at the 3xxx level or above with the prerequisite of Calculus I. The School of Mathematics will accept STAT 5101 and 5102 as part of the eight-course upper division mathematics requirement. 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 eight-course math requirement, although other courses may be used as technical electives.
MATH 3113, 3116, 3118, 4113, 4116, 4118, 3283W, 4005, 4067W, 49xx and 59xx math courses neither satisfy upper division math course requirement nor the technical electives requirement.
In addition to the specializations described below, students who wish to pursue a pure mathematics track or are planning to go to graduate school in mathematics should consult their advisor about appropriate course choices.
All freshmen in the College of Science and Engineering must complete CSE 1001: First-Year Experience.
Remaining Required Lower Division Calculus Courses
2xxx Level Calculus Course
MATH 2374 - CSE Multivariable Calculus and Vector Analysis
(4.0 cr)
or
MATH 2263 - Multivariable Calculus
(4.0 cr)
or
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, & Foundations
MATH 3283W - Sequences, Series, and Foundations: Writing Intensive
[WI]
(4.0 cr)
or
MATH 2283 {Inactive}
(3.0 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)
Specializations in Mathematics
Mathematics (No Specialization)
Students who do not choose one of the specializations must complete the basic mathematics major course requirements listed here.
For the technical electives requirement, students must take at least 6 credits of courses that meet the following criteria: prerequisite of calculus; 3xxx level or higher; courses form a coherent part of the student's program.
Algebra Requirement
Both courses can be from the theoretical algebra list.
Take 2 or more course(s) from the following:
Theoretical Algebra
Take 1 or more course(s) from the following:
·
MATH 4281 - Introduction to Modern Algebra
(4.0 cr)
·
MATH 5248 - Cryptology and Number Theory
(4.0 cr)
·
MATH 5251 - Error-Correcting 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 Courses
Take 0 or more course(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 Non-enumerative Combinatorics
(4.0 cr)
·
MATH 5711 - Linear Programming and Combinatorial Optimization
(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 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 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)
Upper Division Math or Math-Related Courses
Take 4 or more course(s) totaling 14 or more credit(s) from the following:
·
MATH 4065 - Theory of Interest
(4.0 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 - Error-Correcting 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 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 Non-enumerative Combinatorics
(4.0 cr)
·
MATH 5711 - Linear Programming and Combinatorial Optimization
(4.0 cr)
·
STAT 5101 - Theory of Statistics I
(4.0 cr)
·
STAT 5102 - Theory of Statistics II
(4.0 cr)
Computer Science Requirement
CSCI 1103 - Introduction to Computer Programming in Java
(4.0 cr)
or
CSCI 1113 - Introduction to C/C++ Programming for Scientists and Engineers
(4.0 cr)
or
CSCI 1133 - Introduction to Computing and Programming Concepts
(4.0 cr)
Third Semester Physics Requirement
PHYS 2303 - Physics III: Physics of Matter
(4.0 cr)
or
PHYS 2311 {Inactive}
(4.0 cr)
or
PHYS 2503 - Physics III: Intro to Waves, Optics, and Special Relativity
(4.0 cr)
Technical Electives Requirement
Any mathematics, science, or engineering course of technical nature that is not listed below and is not already used to fulfill specific BS mathematics requirements may be used as a technical elective course by permission. Contact the MATH director of undergraduate studies.
Chemistry Technical Electives
Take 2 or more course(s) totaling 6 or more credit(s) from the following:
·
CHEM 4501 - Introduction to Thermodynamics, Kinetics, and Statistical Mechanics
(3.0 cr)
·
CHEM 4502 - Introduction to Quantum Mechanics and Spectroscopy
(3.0 cr)
or
Chemical Engineering/Material Science Technical Elec.
Take 2 or more course(s) totaling 6 or more credit(s) from the following:
·
CHEN 3101 - Chemical Engineering Thermodynamics
(4.0 cr)
·
CHEN 3102 - Reaction Kinetics and Reactor Engineering
(4.0 cr)
or
Computer Science Technical Electives
Take 2 or more course(s) totaling 6 or more credit(s) from the following:
·
CSCI 4011 - Formal Languages and Automata Theory
(4.0 cr)
·
CSCI 4041 - Algorithms and Data Structures
(4.0 cr)
·
CSCI 4061 - Introduction to Operating Systems
(4.0 cr)
·
CSCI 4611 - Programming Interactive Computer Graphics and Games
(3.0 cr)
·
CSCI 5106 - Programming Languages
(3.0 cr)
·
CSCI 5304 - Computational Aspects of Matrix Theory
(3.0 cr)
·
CSCI 5403 {Inactive}
(3.0 cr)
·
CSCI 5421 - Advanced Algorithms and Data Structures
(3.0 cr)
·
CSCI 5451 - Introduction to Parallel Computing: Architectures, Algorithms, and Programming
(3.0 cr)
·
CSCI 5511 - Artificial Intelligence I
(3.0 cr)
·
CSCI 5512 - Artificial Intelligence II
(3.0 cr)
·
CSCI 5521 - Machine Learning Fundamentals
(3.0 cr)
·
CSCI 5523 - Introduction to Data Mining
(3.0 cr)
·
CSCI 5607 - Fundamentals of Computer Graphics 1
(3.0 cr)
·
CSCI 5608 - Fundamentals of Computer Graphics II
(3.0 cr)
or
Physics Technical Electives
Take 2 or more course(s) totaling 6 or more credit(s) from the following:
·
PHYS 4001 - Analytical Mechanics
(4.0 cr)
·
PHYS 4002 - Electricity and Magnetism
(4.0 cr)
·
PHYS 4051 - Methods of Experimental Physics I
(5.0 cr)
·
PHYS 4101 - Quantum Mechanics
(4.0 cr)
·
PHYS 4201 - Statistical and Thermal Physics
(3.0 cr)
·
PHYS 4511 - Introduction to Nuclear and Particle Physics
(3.0 cr)
·
PHYS 5001 - Quantum Mechanics I
(4.0 cr)
or
Economics Technical Electives
ECON 3101 - Intermediate Microeconomics
(4.0 cr)
Additional Economics Technical Elective Course
Take 1 or more course(s) totaling 3 or more credit(s) from the following:
·
ECON 3102 - Intermediate Macroeconomics
(4.0 cr)
·
ECON 4261 - Introduction to Econometrics
(4.0 cr)
·
ECON 4751 - Financial Economics
(3.0 cr)
or
Statistics Technical Electives
Take 2 or more course(s) totaling 6 or more credit(s) from the following:
·
STAT 3021 - Introduction to Probability and Statistics
(3.0 cr)
·
STAT 3022 - Data Analysis
(4.0 cr)
·
STAT 3701 - Introduction to Statistical Computing
(4.0 cr)
·
STAT 5021 - Statistical Analysis
(4.0 cr)
·
STAT 5031 {Inactive}
(4.0 cr)
·
STAT 5302 - Applied Regression Analysis
(4.0 cr)
·
STAT 5303 - Designing Experiments
(4.0 cr)
·
STAT 5421 - Analysis of Categorical Data
(3.0 cr)
or
Mathematics Technical Electives
Courses from the algebra, analysis, and mathematics electives lists which have not already used to fulfill those requirements may be taken to fulfill the technical elective requirement.
Take 2 or more course(s) totaling 6 or more credit(s) from the following:
·
MATH 4xxx
·
MATH 5xxx
·
STAT 5101 - Theory of Statistics I
(4.0 cr)
·
STAT 5102 - Theory of Statistics II
(4.0 cr)
-OR-
Actuarial Specialization
Complete the requirements for the actuarial sub-plan.
-OR-
Mathematics Education Specialization
Complete the requirements for the mathematics education sub-plan.
-OR-
Computer Applications Specialization
Complete the requirements for the computer applications sub-plan.
-OR-
Mathematical Biology: Genomics
Complete the requirements for the genomics sub-plan.
-OR-
Mathematical Biology: Physiology
Complete the requirements for the physiology sub-plan.
Program Sub-plans
A sub-plan is not required for this program.
Actuarial Science
The BS mathematics with actuarial specialization requires a minimum of 8 upper division (4xxx level and above) mathematics courses, as indicated in the lists below. Students pursuing the actuarial specialization may want to include MATH 4067W, which fulfills an upper division writing intensive requirement, although it does not fulfill any of the upper division math course requirements. It is recommended in this specialization to plan for a summer internship after the junior year.
For the actuarial specialization, students must complete specific courses in economics, accounting, finance, insurance, and statistics. Thus, the required courses in these disciplines take the place of a technical electives package for students who successfully complete the actuarial specialization.
A third semester of physics is not required for the actuarial specialization.
Mathematics Course Requirements
Algebra
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 - Error-Correcting 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 for Actuarial Specialization
Theory of Probability & Statistics
MATH 5651 - Basic Theory of Probability and Statistics
(4.0 cr)
or
STAT 5101 - Theory of Statistics I
(4.0 cr)
Stochastic Processes
MATH 5652 - Introduction to Stochastic Processes
(4.0 cr)
Actuarial Mathematics
MATH 4065 - Theory of Interest
(4.0 cr)
MATH 5067 - Actuarial Mathematics I
(4.0 cr)
MATH 5068 - Actuarial Mathematics II
(4.0 cr)
Upper Division Math Elective for Actuarial
Courses recommended for this specialization are MATH 5075, 4428, 5485, 5076.
4xxx or 5xxx Level Math Courses offered in Fall
Take 1 or more course(s) from the following:
·
MATH 5075 - Mathematics of Options, Futures, and Derivative Securities I
(4.0 cr)
·
MATH 5485 - Introduction to Numerical Methods I
(4.0 cr)
·
MATH 4xxx
·
MATH 5xxx
or
4xxx or 5xxx Level Math Courses offered in Spring
Take 1 or more course(s) from the following:
·
MATH 4428 - Mathematical Modeling
(4.0 cr)
·
MATH 4xxx
·
MATH 5xxx
Introductory Economics & Business
Introductory Economics and Business courses are the same for both the Statistics & Insurance and the Economics & Insurance tracks.
ECON 1101 - Principles of Microeconomics
[SOCS, GP]
(4.0 cr)
ECON 1102 - Principles of Macroeconomics
(4.0 cr)
ACCT 2051 - Introduction to Financial Reporting
(4.0 cr)
FINA 3001 - Finance Fundamentals
(3.0 cr)
Statistics & Insurance or Economics & Insurance
Choose an emphasis in Statistics & Insurance or in Economics and Insurance.
Statistics and Insurance
STAT 3021 - Introduction to Probability and Statistics
(3.0 cr)
STAT 3032 - Regression and Correlated Data
(4.0 cr)
STAT 5102 - Theory of Statistics II
(4.0 cr)
Insurance
Take 1 or more courses.
Take 1 or more course(s) from the following:
·
INS 4105 - Corporate Risk Management
(2.0 cr)
·
INS 4101 - Employee Benefits
(2.0 cr)
·
INS 4205 - Insurance Theory and Practice
(2.0 cr)
Computer Applications
The upper division (4xxx level or above) mathematics courses, a 3rd semester of physics, and a minimum 24 credits of math and computer science courses relating to computer applications (from the courses listed below) are needed to fulfill the requirements for the BS mathematics with computer applications specialization. Students who complete the computer applications specialization may meet the requirements for a minor in computer science.
Mathematics Course Requirements for Computer Applications
Algebra Requirements
Theoretical Algebra
Take 1 or more course(s) from the following:
·
MATH 4281 - Introduction to Modern Algebra
(4.0 cr)
·
MATH 5248 - Cryptology and Number Theory
(4.0 cr)
·
MATH 5251 - Error-Correcting Codes, Finite Fields, Algebraic Curves
(4.0 cr)
·
MATH 5285H - Honors: Fundamental Structures of Algebra I
(4.0 cr)
·
MATH 5286H - Honors: Fundamental Structures of Algebra II
(4.0 cr)
·
MATH 5385 - Introduction to Computational Algebraic Geometry
(4.0 cr)
Applied Algebra
MATH 5485 - Introduction to Numerical Methods I
(4.0 cr)
Analysis Requirements
Numerical Methods
MATH 5486 - Introduction To Numerical Methods II
(4.0 cr)
Additional Analysis Course
Take 1 or more course(s) from the following:
·
MATH 4567 - Applied Fourier Analysis
(4.0 cr)
·
MATH 4603 - Advanced Calculus I
(4.0 cr)
·
MATH 4604 - Advanced Calculus II
(4.0 cr)
·
MATH 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 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 Electives
Mathematics courses in the algebra, analysis, or computing-related mathematics lists which are not used to fulfill those requirements may be taken as mathematics elective courses.
Take 2 or more course(s) from the following:
·
MATH 4xxx
·
MATH 5xxx
Computing-Related Mathematics
Mathematical Logic
Take 1 or more course(s) totaling 4 or more credit(s) from the following:
·
MATH 5165 - Mathematical Logic I
(4.0 cr)
Computer-Related Mathematics Electives
Take 1 or more course(s) from the following:
·
MATH 4242 - Applied Linear Algebra
(4.0 cr)
·
MATH 5166 {Inactive}
(4.0 cr)
·
MATH 5248 - Cryptology and Number Theory
(4.0 cr)
·
MATH 5251 - Error-Correcting 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 Non-enumerative Combinatorics
(4.0 cr)
·
MATH 5711 - Linear Programming and Combinatorial Optimization
(4.0 cr)
Introductory Computer Science
Computing and Programming Concepts
Take 1 or more course(s) from the following:
·
CSCI 1133 - Introduction to Computing and Programming Concepts
(4.0 cr)
·
CSCI 1133H - Honors Introduction to Computing and Programming Concepts
(4.0 cr)
Take 1 or more course(s) from the following:
·
CSCI 1933 - Introduction to Algorithms and Data Structures
(4.0 cr)
·
CSCI 1933H - Honors Introduction to Algorithms and Data Structures
(4.0 cr)
or
Computer Programming
CSCI 1913 - Introduction to Algorithms, Data Structures, and Program Development
(4.0 cr)
Introduction to Programming in Java or C/C++
Take 1 or more course(s) from the following:
·
CSCI 1103 - Introduction to Computer Programming in Java
(4.0 cr)
·
CSCI 1113 - Introduction to C/C++ Programming for Scientists and Engineers
(4.0 cr)
Discrete Structures
CSCI 2011 - Discrete Structures of Computer Science
(4.0 cr)
Computer Science Courses & Technical Electives
Upper division computer science courses may be counted as technical electives.
Take 2 or more course(s) from the following:
·
CSCI 4011 - Formal Languages and Automata Theory
(4.0 cr)
·
CSCI 4041 - Algorithms and Data Structures
(4.0 cr)
·
CSCI 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)
Third Semester Physics Requirement
A physics course from the following list should be taken during the the second year to fulfill this requirement.
PHYS 2303 - Physics III: Physics of Matter
(4.0 cr)
or
PHYS 2311 {Inactive}
(4.0 cr)
or
PHYS 2503 - Physics III: Intro to Waves, Optics, and Special Relativity
(4.0 cr)
Mathematics Education
Preparation for teaching mathematics in secondary education.
The eight (8) required upper division (4xxx level or above) mathematics courses for the mathematics education specialization include courses that meet admission requirements for the secondary teaching licensure program in mathematics. Additional requirements for the BS mathematics with mathematics education specialization include a 3rd semester of physics, a minimum of one (1) computer science course, and a technical electives course package.
MATH 4653 is recommended to meet admission requirements for the Math Education Licensure Program, but it does not fulfill the analysis requirement for the major.
Courses that are recommended for this specialization (but not required) include MATH 5652 Stochastic Processes, STAT 5102 Theory of Statistics II, and MATH 5336 Geometry II.
Mathematics Education Specialization Requirements
Algebra Requirements
Theoretical Algebra
MATH 4281 - Introduction to Modern Algebra
(4.0 cr)
or
MATH 5248 - Cryptology and Number Theory
(4.0 cr)
or
MATH 5251 - Error-Correcting 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 requirements 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 Non-enumerative Combinatorics
(4.0 cr)
Geometry
MATH 5335 - Geometry I
(4.0 cr)
Probability and Statistics
MATH 4653 - Elementary Probability
(4.0 cr)
or
MATH 5651 - Basic Theory of Probability and Statistics
(4.0 cr)
or
STAT 5101 - Theory of Statistics I
(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 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 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 Education Electives Requirement
Recommended math elective courses for this specialization are MATH 5336, MATH 4242, MATH 5652, STAT 5102. Courses from the algebra or analysis lists not used to fulfill those requirements may also be taken to fulfill this math electives requirement.
Take 2 or more course(s) from the following:
·
MATH 4xxx
·
MATH 5xxx
·
STAT 5102 - Theory of Statistics II
(4.0 cr)
·
MATH 5336 {Inactive}
(4.0 cr)
·
MATH 5652 - Introduction to Stochastic Processes
(4.0 cr)
Third Semester Physics Requirement
Take one of the following physics courses in the third semester (fall semester of the second year).
PHYS 2303 - Physics III: Physics of Matter
(4.0 cr)
or
PHYS 2311 {Inactive}
(4.0 cr)
or
PHYS 2503 - Physics III: Intro to Waves, Optics, and Special Relativity
(4.0 cr)
Technical Electives Courses
Students must complete 6 credits of courses at the 3xxx level or above which have Calculus I (1271, 1371, 1571H) as a prerequisite and which form a coherent part of student's program. Technical electives are selected by consultation and approval of your math advisor. Earliest semester: Y3 fall; latest semester: Y4 spring.
Chemistry
Take 2 or more course(s) totaling 6 or more credit(s) from the following:
·
CHEM 4501 - Introduction to Thermodynamics, Kinetics, and Statistical Mechanics
(3.0 cr)
·
CHEM 4502 - Introduction to Quantum Mechanics and Spectroscopy
(3.0 cr)
or
Chemical Engineering
Take 2 or more course(s) totaling 6 or more credit(s) from the following:
·
CHEN 3101 - Chemical Engineering Thermodynamics
(4.0 cr)
·
CHEN 3102 - Reaction Kinetics and Reactor Engineering
(4.0 cr)
or
Computer Science Technical Elective Courses
Take 2 or more course(s) totaling 6 or more credit(s) from the following:
·
CSCI 4011 - Formal Languages and Automata Theory
(4.0 cr)
·
CSCI 4041 - Algorithms and Data Structures
(4.0 cr)
·
CSCI 4061 - Introduction to Operating Systems
(4.0 cr)
·
CSCI 4611 - Programming Interactive Computer Graphics and Games
(3.0 cr)
·
CSCI 5106 - Programming Languages
(3.0 cr)
·
CSCI 5304 - Computational Aspects of Matrix Theory
(3.0 cr)
·
CSCI 5403 {Inactive}
(3.0 cr)
·
CSCI 5421 - Advanced Algorithms and Data Structures
(3.0 cr)
·
CSCI 5451 - Introduction to Parallel Computing: Architectures, Algorithms, and Programming
(3.0 cr)
·
CSCI 5511 - Artificial Intelligence I
(3.0 cr)
·
CSCI 5512 - Artificial Intelligence II
(3.0 cr)
·
CSCI 5521 - Machine Learning Fundamentals
(3.0 cr)
·
CSCI 5523 - Introduction to Data Mining
(3.0 cr)
·
CSCI 5607 - Fundamentals of Computer Graphics 1
(3.0 cr)
·
CSCI 5608 - Fundamentals of Computer Graphics II
(3.0 cr)
or
Physics Technical Elective Courses
Take 2 or more course(s) totaling 6 or more credit(s) from the following:
·
PHYS 4001 - Analytical Mechanics
(4.0 cr)
·
PHYS 4002 - Electricity and Magnetism
(4.0 cr)
·
PHYS 4051 - Methods of Experimental Physics I
(5.0 cr)
·
PHYS 4101 - Quantum Mechanics
(4.0 cr)
·
PHYS 4201 - Statistical and Thermal Physics
(3.0 cr)
·
PHYS 4511 - Introduction to Nuclear and Particle Physics
(3.0 cr)
·
PHYS 5001 - Quantum Mechanics I
(4.0 cr)
or
Economics Technical Electives Courses
ECON 3101 - Intermediate Microeconomics
(4.0 cr)
Take 1 or more course(s) totaling 3 or more credit(s) from the following:
·
ECON 3102 - Intermediate Macroeconomics
(4.0 cr)
·
ECON 4261 - Introduction to Econometrics
(4.0 cr)
·
ECON 4751 - Financial Economics
(3.0 cr)
or
Statistics Technical Electives Courses
Take 2 or more course(s) totaling 6 or more credit(s) from the following:
·
STAT 3021 - Introduction to Probability and Statistics
(3.0 cr)
·
STAT 3022 - Data Analysis
(4.0 cr)
·
STAT 3701 - Introduction to Statistical Computing
(4.0 cr)
·
STAT 5021 - Statistical Analysis
(4.0 cr)
·
STAT 5031 {Inactive}
(4.0 cr)
·
STAT 5302 - Applied Regression Analysis
(4.0 cr)
·
STAT 5303 - Designing Experiments
(4.0 cr)
·
STAT 5421 - Analysis of Categorical Data
(3.0 cr)
or
Mathematics Courses for Technical Electives
Take 2 or more course(s) totaling 6 or more credit(s) from the following:
·
MATH 4xxx
·
MATH 5xxx
Mathematical Biology: Genomics
Note that some genomics elective choices have additional prerequisite courses. A third semester of physics is not required for the mathematical biology: genomics specialization.
Mathematics Requirements for MathBio: Genomics
Mathematical Modeling Requirement
MATH 4428 - Mathematical Modeling
(4.0 cr)
Algebra Requirements
Theoretical Algebra
Take 1 or more course(s) from the following:
·
MATH 4281 - Introduction to Modern Algebra
(4.0 cr)
·
MATH 5248 - Cryptology and Number Theory
(4.0 cr)
·
MATH 5251 - Error-Correcting Codes, Finite Fields, Algebraic Curves
(4.0 cr)
·
MATH 5285H - Honors: Fundamental Structures of Algebra I
(4.0 cr)
·
MATH 5286H - Honors: Fundamental Structures of Algebra II
(4.0 cr)
·
MATH 5385 - Introduction to Computational Algebraic Geometry
(4.0 cr)
Applied Algebra
MATH 4242 - Applied Linear Algebra
(4.0 cr)
Analysis Requirements
Genomics Analysis Requirement
Take 1 or more course(s) from the following:
·
MATH 5525 - Introduction to Ordinary Differential Equations
(4.0 cr)
·
MATH 5535 - Dynamical Systems and Chaos
(4.0 cr)
Theory of Probability & Statistics I
MATH 5651 - Basic Theory of Probability and Statistics
(4.0 cr)
or
STAT 5101 - Theory of Statistics I
(4.0 cr)
Mathematics Electives
Mathematics courses from the algebra, analysis, and genomics electives lists which were not used to fulfill those requirements may be taken as mathematics electives to meet the 8 course requirement for the major.
Take 3 or more course(s) from the following:
·
MATH 4xxx
·
MATH 5xxx
Computer Science Requirements for Genomics
Introduction to Computing and Programming Concepts
Take 1 or more course(s) from the following:
·
CSCI 1133 - Introduction to Computing and Programming Concepts
(4.0 cr)
·
CSCI 1133H - Honors Introduction to Computing and Programming Concepts
(4.0 cr)
Take 1 or more course(s) from the following:
·
CSCI 1933 - Introduction to Algorithms and Data Structures
(4.0 cr)
·
CSCI 1933H - Honors 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)
5xxx Level CSCI Course Requirements
CSCI 2011 & CSCI 4041 may together serve as the substitute prerequisite courses for CSCI 5461.
Functional Genomics, Systems Biol., Bioinformatics
CSCI 5461 - Functional Genomics, Systems Biology, and Bioinformatics
(3.0 cr)
CSCI 3003 - Introduction to Computing in Biology
(3.0 cr)
Genomics Genetics, Biology Requirements
MATH 5445 may only count if it is not counting towards another sub-plan requirement.
General Biology
BIOL 1009 - General Biology
[BIOL]
(4.0 cr)
or
BIOL 1009H - Honors: General Biology
[BIOL]
(4.0 cr)
Genetics
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). 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. GCD 4151 has these prerequisite courses: CHEM 1061, CHEM 1065 (lab), CHEM 1062, CHEM 1066 (lab), CHEM 2301; BIOC 3021; BIOL 4003.
Take 1 or more course(s) from the following:
·
EEB 5042 - Quantitative Genetics
(3.0 cr)
·
GCD 4143 - Human Genetics and Genomics
(3.0 cr)
·
GCD 4151 - Molecular Biology of Cancer
(3.0 cr)
·
MATH 5445 - Mathematical Analysis of Biological Networks
(4.0 cr)
Mathematical Biology: Physiology
Note that some physiology elective choices have additional prerequisite courses. A third semester of physics is not required for the mathematical biology: physiology specialization.
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 - Error-Correcting Codes, Finite Fields, Algebraic Curves
(4.0 cr)
·
MATH 5285H - Honors: Fundamental Structures of Algebra I
(4.0 cr)
·
MATH 5286H - Honors: Fundamental Structures of Algebra II
(4.0 cr)
·
MATH 5385 - Introduction to Computational Algebraic Geometry
(4.0 cr)
Applied Algebra Requirement
MATH 4242 - Applied Linear Algebra
(4.0 cr)
Analysis Requirements
Physiology Analysis Requirement
Take 1 or more course(s) from the following:
·
MATH 5525 - Introduction to Ordinary Differential Equations
(4.0 cr)
·
MATH 5535 - Dynamical Systems and Chaos
(4.0 cr)
Theory of Probability & Statistics
MATH 5651 - Basic Theory of Probability and Statistics
(4.0 cr)
or
STAT 5101 - Theory of Statistics I
(4.0 cr)
Mathematics Electives
Mathematics courses from the algebra, analysis or required mathematics for physiology lists which were not used to fulfill those requirements may be used to fulfill this requirement.
Take 2 or more course(s) from the following:
·
MATH 4xxx
·
MATH 5xxx
Physiology, Biology, Chemistry Requirements
Biology
BIOL 1009 - General Biology
[BIOL]
(4.0 cr)
or
BIOL 1009H - Honors: General Biology
[BIOL]
(4.0 cr)
Chemistry
Chemical Principles I
CHEM 1061 - Chemical Principles I
[PHYS]
(3.0 cr)
CHEM 1065 - Chemical Principles I Laboratory
[PHYS]
(1.0 cr)
or
CHEM 1071H - Honors Chemistry I
[PHYS]
(3.0 cr)
CHEM 1075H - Honors Chemistry I Laboratory
[PHYS]
(1.0 cr)
Chemical Principles II
CHEM 1062 - Chemical Principles II
[PHYS]
(3.0 cr)
CHEM 1066 - Chemical Principles II Laboratory
[PHYS]
(1.0 cr)
or
CHEM 1072H - Honors Chemistry II
[PHYS]
(3.0 cr)
CHEM 1076H - Honors Chemistry II Laboratory
[PHYS]
(1.0 cr)
Physiology Requirement
PHSL 3061 - Principles of Physiology
(4.0 cr)
Physiology Electives
MATH 5445 or MATH 5447 may only count if it is not already counting towards another sub-plan requirement. Some of these courses may have additional prerequisites. NSC 5202 has the following prerequisites: CHEM 2301, BIOC 3021, NSCI 3101, NSCI 3102.
Take 1 or more course(s) from the following:
·
PHSL 4702 - Cell Physiology
(3.0 cr)
·
PHSL 5444 - Muscle
(3.0 cr)
·
NSC 5202 - Theoretical Neuroscience: Systems and Information Processing
(3.0 cr)
·
MATH 5445 - Mathematical Analysis of Biological Networks
(4.0 cr)
·
MATH 5447 - Theoretical Neuroscience
(4.0 cr)
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