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

Summer 2012. Tentative Daily Schedule

06/18 (Mo)
Homogeneous Equations with Constant Coefficients.
(sec. 3.1)
06/19 (Tu)
Complex Roots of the Characteristic Equation.
(sec. 3.4)
06/20 (We)
Definition of the Laplace Transform.
(sec. 6.1)
06/21 (Th)
Solution of Initial Value Problems.
(sec. 6.2)
06/22 (Fr)
Step Functions.
(sec. 6.3)
06/25 (Mo)
Differential Equations with Discontinuous Forcing Functions.
(sec. 6.4)
06/26 (Tu)
Impulse Functions.
(sec. 6.5)
06/27 (We)
Convolution Integral.
(sec. 6.6)
06/28 (Th)
Euler's Equation; Regular Singular Points. (sec. 5.5)
06/29 (Fr)
Series Solution Near a Singular Point. I.
(sec. 5.6)
07/02 (Mo)
Series Solution Near a Singular Point. II.
(sec. 5.7)
07/03 (Tu)
Bessel's Equation.
(sec. 5.8)
07/04 (We)
NO CLASSES
07/05 (Th)
Review for midterm.
07/06 (Fr)
MIDTERM 1.
07/09 (Mo)
The Two-Point Boundary Value Problem.
(sec. 10.1)
07/10 (Tu)
Fourier Series.
(sec. 10.2)
07/11 (We)
Fourier Convergence Theorem.
(sec. 10.3)
07/12 (Th)
Even and Odd Functions. Separation of Variables.
(sec. 10.4, 10.5)
07/13 (Fr)
Separation of Variables; Heat Conduction in a Rod.
(sec. 10.5)
07/16 (Mo)
Heat Conduction Eq'n: Motivation via Derivation .
(sec. 10.8A)
07/17 (Tu)
Other Heat Conduction Prob's: Nonhomogeneous, Neuman, Mixed Boundary Cond'ns.
(sec. 10.6)
07/18 (We)
Wave Equation: Motivation via Derivation; Vibrations of an Elastic String.
(sec. 10.8B,10.7)
07/19 (Th)
Vibrations of an Elastic String.
(sec. 10.7)
07/20 (Fr)
Laplace's Equation: Separation in Cartesian Coordsinates Dirichelet vs Neuman Boundary Conditions.
(sec. 10.8)
07/23 (Mo)
Separation and Solution in Polar and Cylindrical Coordinates.
(sec. 10.8)
07/24 (Tu)
Review for midterm.
07/25 (We)
MIDTERM 2.
07/26 (Th)
Two-point Boundary Value Problems.
(sec. 11.1)
07/27 (Fr)
Sturm-Liouville Boundary Value Problems I.
(sec. 11.2)
07/30 (Mo)
Sturm-Liouville Boundary Value Problems II.
(sec. 11.2)
07/31 (Tu)
Nonhomogeneous Boundary Value Problems .
(sec. 11.3)
08/01 (We)
Singular Sturm-Liouville Problems.
(sec. 11.4)
08/02 (Th)
Bessel Series Expansion: Vibrating Drum.
(sec. 11.5)
08/03 (Fr)
Review for final.