credit-hours-3
480. Mathematical Logic 2.
Credit Hours:
3
Course Level:
400
Prerequisites:
MATH 280 or PHIL 360.
Catalog Description:
N/A
520. Solution of Nonlinear Systems. II.
Credit Hours:
3
Course Level:
500
Prerequisites:
MATH 420 or MATH 441.
Catalog Description:
Solution of nonlinear systems of equations. Newton and Secant Methods. Unconstrained optimization. Nonlinear over relaxation techniques. Nonlinear least squares problems.
521. Numerical Analysis. I.
Credit Hours:
3
Course Level:
500
Prerequisites:
MATH 261 and computer language.
Catalog Description:
Number systems and errors, interpolation by polynomials, linear systems, scalar algebraic equations and systems, optimization, approximation theory, integration initial, and boundary value problems.
Semester Offered:
Comments From Graduate Director:
This is a standard graduate course covering fundamentals of numerical analysis. A previous numerical analysis course is not required but computer programming is necessary (see instructor if you have questions about prerequisites). If you’re interested in applied mathematics, this is a fundamental course to take. It follows in the spring with Math 522, a course in numerical methods for partial differential equations.
522. Numerical Solution of PDE.
Credit Hours:
3
Course Level:
500
Prerequisites:
MATH 261 and computer language.
Catalog Description:
Finite difference and finite element methods for elliptic, parabolic, and hyperbolic problems. Study of properties such as consistency, convergence, stability, conservation, and discrete maximum principles.
Semester Offered:
Instructor E-mail:
Comments From Graduate Director:
This is an excellent course for students interested in applied mathematics and computation. Some background in fundamentals of numerical analysis and basic partial differential equations is helpful, although Math 261 is the official prerequisite. Programming is part of the course.
533. Modern Algebra for Teachers 1.
Credit Hours:
3
Course Level:
500
Prerequisites:
MATH 251. (Designed especially for secondary school mathematics teachers. Others admitted with departmental approval obtained prior to registration.)
Catalog Description:
Introduction to algebraic structures; groups, rings, integral domains, and fields. Development and properties of the rational and real number systems.