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College of Science

Mathematics

Core Mathematics

This option provides preparation for graduate study in pure mathematics or for advanced work in theoretical sciences and in other fields where strong mathematical backgrounds are valuable, such as business administration, economics, computer science, statistics, educational research, psychology, law and medicine.

Core Mathematics Option Course Requirements 21 credits
MA 35300 (Linear Algebra II) 3 cr.
MA 36200 (Vector Calculus), MA 51000 (Vector Calculus) or MA 44200 (Multivariate Analysis I Honors) (3 cr.) 3 cr.
MA 34100 (Foundations of Analysis) (3 cr.) or MA 44000 (Real Analysis: Honors) (3 cr.) 3 cr.
MA 45300 (Elements of Algebra) (3 cr.) or MA 45000 (Algebra: Honors) (3 cr.) 3 cr.
Any three courses from among the following (but no more than two from each group):
a. CS 24000 (Programming Laboratory C) (3 cr.); CS 25100 (Data Structures) (3 cr.)
b. CS 31400 (Numerical Methods) (3 cr.); CS 51400 (Numerical Analysis) (3 cr.); CS 51500 (Numerical Analysis of Linear Systems) (3 cr.); CS 52000 (Computational Methods in Analysis) (3 cr.)
c. MA 45400 (Galois Theory) (3 cr.)
d. MA 52000 (Boundary Value Problems) (3 cr.); MA 52300 (Introduction to PDEs) (3 cr.); MA 54300 (Introduction to the Theory of Differential Equations) (3 cr.)
e. MA 37500 (Introduction to Discrete Mathematics) (3 cr.); MA 38500 (Introduction to Logic) (3 cr.); CS 38100 (Introduction to the Analysis of Algorithms) (3 cr.); MA 38700 (Set Theory of Computation) (3 cr.); CS 48300 (Introduction to the Theory of Computation) (3 cr.)
f. MA 42500 (Complex Analysis) (3 cr.); MA 42800 (Introduction to Fourier Analysis) (3 cr.); MA 44000 (Real Analysis) (3 cr.); MA 44200 (Multivariate Analysis I) (3 cr.); MA 52100 (Introduction to Optimization Problems) (3 cr.); MA 52500 (Introduction to Complex Analysis) (3 cr.)
g. MA 46200 (Elementary Differential Geometry) (3 cr.); MA 57100 (Elementary Topology) (3 cr.)
h. MA 41600 or STAT 41600 (Probability) (3 cr.); STAT 51600 (Basic Probability and Applications) (3 cr.); STAT 41700 (Statistical Theory) (3 cr.); STAT 51700 (Statistical Inference) (3 cr.)

 

 

 

 

 

 

 

 

 

 

 

9 cr.