# Math 4512: Partial Differential Equations for Science and Engineering (Instructor: Sergei Chmutov)

## Summer 2015. Tentative Daily Schedule

 06/15 (Mo) Homogeneous Eq's with Const. Coeff's. (sec. 3.1) 06/16 (Tu) Complex Roots of the Characteristic Eq'n. (sec. 3.3) 06/17 (We) Definition of the Laplace Transform. (sec. 6.1) 06/18 (Th) Solution of Initial Value Problems. (sec. 6.2) 06/19 (Fr) Step Functions. (sec. 6.3) 06/22 (Mo) Differential Eq's with Discont. Forcing Functions. (sec. 6.4) 06/23 (Tu) Impulse Functions. (sec. 6.5) 06/24 (We) Convolution Integral. (sec. 6.6) 06/25 (Th) Series Solution Near an Ordinary Point. (sec. 5.2, 5.3) 06/26 (Fr) Euler's Equation; Regular Singular Points. (sec. 5.4) 06/29 (Mo) Review for midterm. 06/30 (Tu) MIDTERM 1. 07/01 (We) Series Solution Near a Regular Singular Point. I. (sec. 5.5) 07/02 (Th) Series Solution Near a Regular Singular Point. II. (sec. 5.6) 07/03 (Fr) NO CLASSES 07/06 (Mo) Bessel's Equation. (sec. 5.7) 07/07 (Tu) The Two-Point Boundary Value Problem. (sec. 10.1) 07/08 (We) Fourier Series. (sec. 10.2) 07/09 (Th) Fourier Convergence Theorem. (sec. 10.3) 07/10 (Fr) Review for midterm. 07/13 (Mo) MIDTERM 2. 07/14 (Tu) Even and Odd Functions. (sec. 10.4) 07/15 (We) Derivation of the Heat Equation. (sec. 10.8A) 07/16 (Th) Separation of Variables; Heat Conduction in a Rod. (sec. 10.5) 07/17 (Fr) Other Heat Prob's: Nonhomogeneous, Neuman, Mixed Boundary Cond'ns. (sec. 10.6) 07/20 (Mo) Vibrations of an Elastic String. (sec. 10.7) 07/21 (Tu) Derivation of the Wave Equation. (sec. 10.8B) 07/22 (We) Laplace's Equation. (sec. 10.8) 07/23 (Th) Two-point Boundary Value Problems. (sec. 11.1) 07/24 (Fr) Sturm-Liouville Boundary Value Prob's. (sec. 11.2) 07/27 (Mo) Sturm-Liouville Boundary Value Prob's. (sec. 11.2) 07/28 (Tu) Nonhomogeneous Boundary Value Problems. (sec. 11.3) 07/29 (We) Singular Sturm-Liouville Problems. (sec. 11.4) 07/30 (Th) Bessel Series Expansion. (sec. 11.5) 07/31 (Fr) Review for final.