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.