Courses View
557. Calculus of Variations.
Credit Hours:
3
Course Level:
500
Prerequisites:
(MATH 261 and MATH 452) or MATH 568.
Catalog Description:
Necessary conditions and sufficient conditions for weak and strong relative minimums of an integral, Euler-Lagrange equation. Legendre condition, field construction, Weierstrass excess function, and the Jacobi equation.
561. Geometric Modeling-Curves/Surf.
Credit Hours:
3
Course Level:
500
Prerequisites:
MATH 261 and linear algebra.
Catalog Description:
Mathematical techniques used in CAD/CAM environments, including conics, cubic splines, Bezier splines, B-splines rational Bezier and B-splines, interpolation, geometric continuity, and data exchange.
563. Mathematics Modeling.
Credit Hours:
3
Course Level:
500
Prerequisites:
MATH 261 and MATH 465.
Catalog Description:
This course is concerned with construction, analysis, and interpretation of mathematical models that shed light on important problems in the sciences. Emphasis is on the simplification, dimensional analysis, and scaling of mathematical models.
Syllabus:
Semester Offered:
Instructor E-mail:
Comments From Graduate Director:
This course will give the student some exposure to how mathematics is used to analyze problems arising in real-world applications in industry and science. It is a required course in Option B of the M.S. program. It has been run on a yearly basis, concurrently with Math 464. Students will need a basic undergraduate background in the areas of differential equations and probability and statistics.
564. Intermediate Differential Equations.
Credit Hours:
3
Course Level:
500
Prerequisites:
MATH 261.
Catalog Description:
A rigorous study of ordinary differential equations including linear and nonlinear systems, self-adjoint eigenvalue problems, non-self-adjoint boundary-value problems, pertutbation theory of autonomous systems, Poincare-theorem.
Semester Offered:
Instructor E-mail:
Comments From Graduate Director:
While the official prerequisite is Math 261, some background in introductory real analysis (Math 451) is very helpful. This is an essential course for any student in applied mathematics and provides a basic framework for the analysis of linear systems, and nonlinear differential equations. Along with Math 261, this course will largely prepare a student for the subject area exam in Differential Equations.
565. Wave Propagation.
Credit Hours:
3
Course Level:
500
Prerequisites:
MATH 465 or MATH 567 or consent.
Catalog Description:
Study of waves in applied mathematics. The wave equation and geometrical optics, water waves, exact solutions, and interacting solitary waves. Basic concepts of hyperbolic and dispersive waves, conservation laws and scalar PDE‚s shock waves, Bateman Burgers equation, and hyperbolic systems.