The Study Program of the Department of Mathematics
Syllabi for the courses may be obtained by Ctrl-Click on the links
A summary is given here of the courses each track requires, the full information is given in the Tables.
It is useful to divide the undergraduate courses into a number of subsets:
A Basics (44 semester hours)
132 / 133 / 230 / 236 Infinitesimal Calculus 1,2,3,4
211 Abstract Algebra 1 (Group Theory)
231 Complex Variables
A' Accelerated Basics (12 semester hours)
134 Calculus
117 Introduction to Linear Algebra and Applications
B Other Basics (8 semester hours)
195 Discrete Math
151 Computers in Mathematics
C Differential Equations (14 semester hours)
240 ODE
241 PDE
235 Fourier Analysis
D Mathematics for Teaching (12 semester hours)
537 Euclidean Geometry
599 Breakthroughs in Math
601 / 602 High School Math from an Advanced Viewpoint 1,2
E Computers (13 semester hours)
170 Programming (C)
280 Data Structures and Algorithms
630 Image Processing
G Applications (9 semester hours)
320 Physics for Mathematicians
385 Applied Math Project
H Advanced Basics (24 semester hours)
202 Set Theory
212 Abstract Algebra 2 (rings.(
222 Topology
234 Introduction to Differential Equations
265 Introduction to Probability and Statistics
S Statistics (48 semester hours.)
161 /162 Intro to Prob and Stat 1,2
260 Regression
266 Queuing Theory
268 Statistical Software Packages
360/ 361 Applications of Statistics 1,2
367 Simulation
369 Operations Research
572 Markov Chains
Other courses not listed above:
311 Abstract Algebra 3 (Galois theory)
315 Integral Transforms
341 Modern Analysis 1
374 Applied Algebra
376 Numerical Methods 1
Requirements for the different tracks
Extended
1) Pure Math: A,B,C,H (except 234),341,376 (96 semester hours) + 24 hours Electives
2) Applied Math
Option 1: A,B,C,E,G,222,265,315,376 (105 semester hours) + 15 hours Electives
Option 2: A,B,C,E,212,222,265,311,374,376 (106 semester hours) + 14 hours Electives
3) Mathematics and Statistics
Option 1: A,B,H (replacing 265 by 373),S,376 (126 semester hours)
Option 2: A,B,C,S,315,373,376 (125 semester hours)
Major
1) Pure Math: A,B,H,341 (81 semester hours) + 6 hours electives
2) Applied Math: A,B,C,265,315,376 (78 semester hours) + 9 hours electives
3) Mathematics for Teachers: A,B,D,H (88 semester hours.(
4) Statistics: A',B,S,234,376 (76 semester hours) + 12 hours electives
5) Double major with CS: same as 1) or 2) without elective hours
6) Double major with physics: same as 1) without 234 and without electives
Minor
37 semester hours of courses
Master's Degree with Thesis
Students are obliged to take 29 semester hours of courses including 7 3-hour courses from the list of core courses below, 1 2-hour seminar, and 6 hours of optional courses (which may include one course at an undergraduate level).
Core courses
813 Commutative Algebra
815 Noncommutative Algebra
854 Lie Groups and Algebras
831 Complex Analysis
833 Modern Analysis 2
821 Algebraic Topology 2 (520 Algebraic Topology 1 is an undergraduate elective)
825 Algebraic Geometry 2 (525 Algebraic Geometry 1 is an undergraduate elective)
826 Differential Geometry 2 (525 Differential Geometry 1 is an undergraduate elective)
900 Methods for Differential Equations
901 Applied Differential Equations
809 Dynamical Systems
902 Numerical Analysis and Scientific Programming
962 Probability and Stochastic Processes
Master's Degree in Financial Mathematics without Thesis
Background courses for economics and business majors
804 Optimatization
234 Differential Equations
Background courses for science majors
795 Introduction to Finance
788 Introduction to Economics
Background courses in Mathematics and Statistics
720 Introduction to Game Theory for Finance
962 / 963 Probability and Stochastic Processes I, II
793 Analysis of Statistical Data
Core courses in derivative pricing and risk management
902 Numerical Methods for Finance
974 / 976 Financial Mathematics I, II
924 Options Pricing
723 Investment Portfolio Management
724 Pricing Theory
983 Actuarial Science and Risk Management
725 Financial Instruments
Seminars and electives
726 Seminar: Topics in Financial Mathematics
721 Seminar: Risk Management
722 Seminar: Game Theory
727 Analyzing Annual Reports and Estimating the Value of a Firm
728 Banking Theory
729 Regulation of the Financial Markets