# LAS Supportive Courses

## Math

**MTH 501 - Topics in Applied Mathematics I**
*(3 hours)*

Theory, applications, and algorithms for basic problems of modern applied mathematics. Symmetric linear systems, minimum principles, equilibrium equations, calculus of variations, orthogonal expansions, and complex variables. Prerequisite: MTH 224 or 345.

**MTH 502 - Topics in Applied Mathematics II**
*(3 hours)*

Continuation of MTH 501. Selected numerical algorithms: Fast Fourier transform, initial value problems, stability, z-transforms, and linear programming. Prerequisite: MTH 501 or consent of instructor.

**MTH 510 - Numerical Methods I**
*(3 hours)*

Introduction to numerical and computational aspects of various mathematical topics: finite precision, solutions of non-linear equations, interpolation, approximation, linear systems of equations, and integration. Cross listed as CS 510. Prerequisite: CS 101; MTH 207 and 223.

**MTH 511 - Numerical Methods II**
*(3 hours)*

Continuation of CS/MTH 510: further techniques of integration, ordinary differential equations, numerical linear algebra, nonlinear systems of equations, boundary value problems, and optimization. Cross listed as CS 511. Prerequisite: MTH 224 or 345; CS/MTH 510.

**MTH 514 - Partial Differential Equations**
*(3 hours)*

Fourier series and applications to solutions of partial differential equations. Separation of variables, eigenfunction expansions, Bessel functions, Green's functions, Fourier and Laplace transforms. Prerequisite: MTH 224 or 345.

## Philosophy

**PHL 551 - Reading in Philosophy**
*(1-3 hours)*

Directed individual study. Prerequisite: 6 hours in philosophy; senior or graduate standing; consent of department chair.

**PHL 552 - Reading in Philosophy**
*(1-3 hours)*

Directed individual study. Prerequisite: 6 hours in philosophy; senior or graduate standing; consent of department chair.

## Physics

**PHY 501 - Quantum Mechanics I**
*(3 hours)*

Inadequacies of classical physics when applied to problems in atomic and nuclear physics. Development of mathematical formalism used in basic quantum theory, with applications to simple models of physical systems. Prerequisite: PHY 301; PHY 202 or 303, 306 or consent of instructor. MTH 207 recommended.

**PHY 502 - Quantum Mechanics II**
*(3 hours)*

The mathematical formalism of quantum mechanics with applications to problems of electron spin and many-particle systems will be studied along with the development of approximation techniques with applications to complex physical systems. Prerequisite: PHY 501.

**PHY 539 - Topics in Theoretical Physics**
*(3 hours)*

Topics of special interest which may vary each time course is offered. Topic stated in current Schedule of Classes. Prerequisite: PHY 301, 305, 501; consent of instructor.

**PHY 541 - Physics Basics**
*(2 hours)*

Numerical and graphical analysis of data; basic mechanics including Newton's laws and gas laws; hydrostatics and hydrodynamics; energy conservation principles; thermal physics; electricity and magnetism; and solubility and transport processes. Only students in the Nurse Administered Anesthesia Program may register.

**PHY 555 - Independent Readings**
*(1-3 hours)*

Individually assigned reading assignments of relevant topics in physics or astronomy. Prerequisite: senior or graduate standing; background appropriate to the study; consent of instructor.

**PHY 563 - Special Problems in Physics**
*(1-3 hours)*

Qualified students work on an individually assigned problem and prepare oral and written reports on the problem solution. Approved for off-campus programs when required. May be repeated for a maximum of 6 hours credit. Prerequisite: physics preparation sufficient for the problem; consent of instructor and Department Chair.

**PHY 568 - Condensed Matter Physics**
*(3 hours)*

Introduction to the physics of the solid state and other condensed matter especially for students of physics, materials science, and engineering; structure of crystals; molecular binding in solids, thermal properties, introduction to energy band structure and its relation to charge transport in solids, semiconductors, superconductivity. Prerequisite: Physics majors: PHY 301, 202 or 303; PHY 305. Other majors need instructor consent.