MATHEMATICS COURSES

MA–411G INTRODUCTION TO ABSTRACT ALGEBRA I

SPRING ONLY/EVEN YEARS

3 credit hours

This course offers a study of modern algebra with topics from group theory and ring theory. Prerequisites: Grades of C or better in both MA205, MA302, and MA341. (EFFECTIVE 11/SP, STUDENTS ARE NOT PERMITTED TO ENROLL IN 300- OR 400-LEVEL COURSES UNTIL THEY HAVE COMPLETED MA085 LEVEL II OR MA 084B OR ANY HIGHER LEVEL MATH COURSE)

 

MA–412G INTRODUCTION TO ABSTRACT ALGEBRA II

SPRING ONLY/ALL YEARS

3 credit hours

This is the second course in a two-semester sequence of introductory courses in abstract algeb ra. Topics covered include field theory, Sylow theorems, introductory Galois theory, and some of advanced group theory, module and ring theory. Prerequisites: Grades of C or better in MA341 and MA411. STUDENTS ARE NOT PERMITTED TO ENROLL IN 300- OR 400- LEVEL COURSES UNTIL THEY HAVE COMPLETED EN111 WITH A GRADE OF "C" OR BETTER AND MA085 LEVEL II OR MA084B OR ANY HIGHER-LEVEL MATH COURSE.

 

MA–421G INTRODUCTION TO ANALYSIS I

FALL ONLY/EVEN YEARS

3 credit hours

This is the first course in a two-semester sequence designed to provide an introduction to the rigorous study of the foundations of calculus. Topics covered include the completeness of the real numbers, elementary topology, continuous functions, and numerical sequences and series. Prerequisites: Grades of C or better in MA205 and MA302. STUDENTS ARE NOT PERMITTED TO ENROLL IN 300- OR 400- LEVEL COURSES UNTIL THEY HAVE COMPLETED EN111 WITH A GRADE OF "C" OR BETTER AND MA085 LEVEL II OR MA084B OR ANY HIGHER-LEVEL MATH COURSE.

 

MA–422G INTRODUCTION TO ANALYSIS II

SPRING ONLY/ODD YEARS

3 credit hours

This is the second course in a two-semester sequence designed to provide an introduction to the rigorous study of the foundations of calculus. Topics covered include differentiation, integration, sequences and series of functions. Prerequisite: A grade of C or better in MA421G. (EFFECTIVE 11/SP, STUDENTS ARE NOT PERMITTED TO ENROLL IN 300- OR 400-LEVEL COURSES UNTIL THEY HAVE COMPLETED MA085 LEVEL II OR MA 084B OR ANY HIGHER LEVEL MATH COURSE)

 

MA–431G TOPICS IN ADVANCED MATHEMATICS

SPRING ONLY/EVEN YEARS

3 credit hours

This course offers selected topics in advanced mathematics such as topology, mathematical induction, non-Euclidean geometries. With different subject matter may be repeated for credit. Prerequisite: Grades of C or above in MA205 and MA302. STUDENTS ARE NOT PERMITTED TO ENROLL IN 300- OR 400- LEVEL COURSES UNTIL THEY HAVE COMPLETED EN111 WITH A GRADE OF "C" OR BETTER AND MA085 LEVEL II OR MA084B OR ANY HIGHER-LEVEL MATH COURSE.

 

MA–441G MODERN GEOMETRY

SPRING ONLY/ODD YEARS

3 credit hours

This course treats non-Euclidean and advanced Euclidean geometry. Prerequisites: Grades of C or better in both MA205 and MA302. STUDENTS ARE NOT PERMITTED TO ENROLL IN 300- OR 400- LEVEL COURSES UNTIL THEY HAVE COMPLETED EN111 WITH A GRADE OF "C" OR BETTER AND MA085 LEVEL II OR MA084B OR ANY HIGHER-LEVEL MATH COURSE.

 

MA–451G PROBABILITY AND STATISTICS

FALL ONLY/EVEN YEARS

3 credit hours

This course covers probability models and distributions, including univariate and multivariate distributions, and provides an introduction to parametric and nonparametric decision theory. Prerequisites: MA151 or equivalent and grade of C or better in MA302. Corequisite: MA205. STUDENTS ARE NOT PERMITTED TO ENROLL IN 300- OR 400- LEVEL COURSES UNTIL THEY HAVE COMPLETED EN111 WITH A GRADE OF "C" OR BETTER AND MA085 LEVEL II OR MA084B OR ANY HIGHER-LEVEL MATH COURSE.

 

MA–453 OPERATIONS RESEARCH MODELS

AS REQUIRED/AS REQUIRED

3 credit hours

Operations research models are designed to optimize, maximize, or minimize real world processes. Computer methods and packages are included for linear and dynamic programming, life and death processes, P.E.R.T.-C.P.M., trend analysis and queuing theory. Prerequisites: MA341and either MA385 or MA387 and MA387L. (EFFECTIVE 11/SP, STUDENTS ARE NOT PERMITTED TO ENROLL IN 300- OR 400-LEVEL COURSES UNTIL THEY HAVE COMPLETED MA085 LEVEL II OR MA 084B OR ANY HIGHER LEVEL MATH COURSE)

 

MA–460G NUMERICAL LINEAR ALGEBRA

SPRING ONLY/ODD YEARS

3 credit hours

This course covers topics such as numerical solutions to systems of linear equations; linear least squares problems; eigenvalue and eigenvector problems. Methods include Gauss-Jordan elimination, Siedel iterating, the QR algorithm and linear optimization. It includes the use of numerical software libraries. Prerequisites: Grades of C or better in MA205, MA302, and MA341. STUDENTS ARE NOT PERMITTED TO ENROLL IN 300- OR 400- LEVEL COURSES UNTIL THEY HAVE COMPLETED EN111 WITH A GRADE OF "C" OR BETTER AND MA085 LEVEL II OR MA084B OR ANY HIGHER-LEVEL MATH COURSE.

 

MA–461G NUMERICAL ANALYSIS

FALL ONLY/ODD YEARS

3 credit hours

This course covers: root finding for non-linear equations, numerical integration, numerical methods for ordinary differential equations, interpolation theory, and approximation functions. The course makes use of numerical software libraries. Prerequisites: Grade of C or better in MA205 and MA302. STUDENTS ARE NOT PERMITTED TO ENROLL IN 300- OR 400- LEVEL COURSES UNTIL THEY HAVE COMPLETED EN111 WITH A GRADE OF "C" OR BETTER AND MA085 LEVEL II OR MA084B OR ANY HIGHER-LEVEL MATH COURSE.