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Jincheng Yang

The University of Chicago

Teaching

Math 18500/31 Mathematical Methods in the Physical Sciences III

Syllabus: See Canvas.

  • Regular Class: MWF 10:30-11:20 am @ Pick Hall 022
  • Office Hour: T 9:30-11:00 am, Th 3:30-5:00 pm @ Eckhart 318

Calendar

Week Monday Tuesday Wednesday Thursday Friday
1 3/20 Introduction & Separable ODE 3/21 3/22 First order linear ODE 3/23 3/24 Series solution
2 3/27 Homogeneous second order ODE 3/28 HW 1 due 3/29 Linearity 3/30 3/31 Operators
3 4/3 Systems with simple roots 4/4 HW 2 due 4/5 Systems with repeated roots 4/6 4/7 Phase portrait of 2D linear systems
4 4/10 Introduction to PDE 4/11 4/12 Exam 1 (up to 4/7) 4/13 HW 3 due 4/14 Separation of variables
5 4/17 Boundary conditions 4/18 4/19 Fourier series 4/20 HW 4 due 4/21 Fourier series (cont’d)
6 4/24 Extensions 4/25 4/26 Heat equations 4/27 HW 5 due 4/28 Wave equations
7 5/1 Fourier transform 5/2 5/3 Inhomogeneity 5/4 5/5 Exam 2 (up to 5/1)
8 5/8 Inhomogeneous second order ODE 5/9 HW 6 due 5/10 Laplace transform 5/11 5/12 Laplace transform (cont’d)
9 5/15 Convolution 5/16 HW 7 due 5/17 Dirac and Heaviside 5/18 5/19 Review Session
Final 5/22 Reading Period 5/23 5/24 5/25 5/26