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

Summer 2025. Tentative Daily Schedule

In-person classes.
06/02 (Mo) Class 1.
Homogeneous Eq's with Const. Coeff's. (sec. 3.1, 3.3)
06/04 (We) Class 2.
Laplace Transform.
(sec. 6.1, 6.2)
06/06 (Fr) Class 3.
Step Functions.
(sec. 6.3, 6.4)
06/09 (Mo) Class 4.
Impulse Functions and convolution.
(sec. 6.5, 6.6)
06/11 (We) Class 5.
Euler's Equation; Regular Singular Points. (sec. 5.4)
06/13 (We) Class 6.
Series Solution Near a Regular Singular Point. I. (sec. 5.5)

Online classes.
06/16 (Mo) Class 7.
Review for midterm.
06/18 (We) Class 8.
MIDTERM 1.
06/20 (Fr) Class 9.
Series Solution Near a Regular Singular Point. II. (sec. 5.6)
06/23 (Mo) Class 10.
Series Solution Near a Regular Singular Point. II. (sec. 5.6)
06/25 (We) Class 11.
Bessel's Equation.
(sec. 5.7)
06/27 (Fr) Class 12.
The Two-Point Boundary Value Problem. (sec. 10.1)
06/30 (Mo) Class 13.
Fourier Series.
(sec. 10.2)
07/02 (We) Class 14.
Fourier Series.
(sec. 10.2)
07/04 (Fr)
NO CLASSES. Independence Day.
07/07 (Mo) Class 15.
Fourier Convergence Theorem.
(sec. 10.3, 10.4)
07/09 (We) Class 16.
Review for midterm.
07/11 (Fr) Class 17.
MIDTERM 2.
07/14 (Mo) Class 18.
Separation of Variables; Heat Conduction in a Rod.
(sec. 10.5)
07/16 (We) Class 19.
Other boundary conditions. (sec. 10.6)
07/18 (Fr) Class 20.
Vibrations of an Elastic String.
(sec. 10.7)
07/21 (Mo) Class 21.
Laplace's Equation.
(sec. 10.8)
07/23 (We) Class 22.
Sturm-Liouville Boundary Value Prob's. (sec. 11.1, 11.2)
07/25 (Fr) Class 23.
Review for final.
07/28 (Mon)
FINAL, 12:00 - 1:45 pm