**Courses for Fall 2015**

- MATH 4460/5460
*Partial Differential Equations*, MW, 6:30PM-7:45PM, EMCS 232 - MATH 5900
*Special Project in Mathematics* - MATH 5997
*Individual Studies*

**Office Hours for Fall 2015**

**Time:** MW 2:00PM-3:30PM (others by appointment or chance)

**Location:** EMCS 418A

**Phone:** (423) 425-4036

**Upcoming Courses for Spring 2016**

#### MATH 5470 Applied Mathematics for Science and Engineering I

Undergraduate students may take this course by registering for MATH 4999 or by registering to take the course at the graduate level (please consult with the instructor if you are an undergraduate student interested in pursuing these options).

**Course Text:** Fourier Series, Transforms, and Boundary Value Problems, 2nd ed. (Dover) by J. R. Hannah and J. H. Rowland

**Prerequisites:** Per the UTC course catalog: MATH 4550 with a grade of C or consent of the instructor.
A basic understanding of differential equations at the level of MATH 2450 and a good
command of integration and infinite series is essential. Familiarity with the rigorous
definitions of convergence and continuity at the level of MATH 3510 is a plus.

**Course Topics:**

- Series solutions to differential equations and the method of Frobenius
- Orthogonal functions
- Elements of Sturm--Liouville theory
- Bessel functions
- Legendre polynomials
- Separation of variables
- Fourier integrals, the Fourier transform, and the convolution
- Hypergeometric functions (time permitting)
- Other topics, as time permits

#### MATH 1950 Calculus with Analytic Geometry I

**Catalog Description:** The calculus of functions of one real variable. Precise definitions of limits,
derivatives, and integrals, including Riemann sums; applications of these concepts
and the Fundamental Theorem of Calculus.

**Prerequisites:** MATH 1720 or MATH 1730 with a minimum grade of C or Math ACT 28 or above, or department
head approval.