Differential Equations, Fall 2019 (Course Outline)

Lecture Notes

01. Introduction to Differential Equations
02. First-Order Differential Equations
03. High-Order Differential Equations
04. Modeling with High-Order Differential Equations
05. The Laplace Transform

   Midterm Exam: 11/04/2019

06. Linear Systems of Differential Equations
07. Power Series Methods
08. Fourier Series Method
09. Partial Differential Equations and Boundary Value Problems

   Final Exam: 01/06/2020

The original PowerPoint files of the slides can be downloaded here.

Homework Assignments

   Homework #01 (hints):
    - Sec 1.1 Problems 12, 18, 30, 45, 58, 60
    - Sec 1.2 Problems 7, 22, 30, 46, 49

   Homework #02 (hints):
    - Sec 2.2 Problems 8, 11, 24, 29, 46, 55
    - Sec 2.3 Problems 6, 24, 34, 49, 53
    - Sec 2.4 Problems 4, 14, 26, 35, 40, 43

   Homework #03 (hints):
    - Sec 2.5 Problems 6, 14, 22, 24, 31, 36
    - Sec 4.1 Problems 14, 18, 35, 39

   Homework #04 (hints):
    - Sec 4.2 Problems 2, 11, 24
    - Sec 4.3 Problems 12, 22, 30, 59
    - Sec 4.4 Problems 2, 34, 38

   Homework #05 (hints):
    - Sec 4.6 Problems 1, 12, 27, 34
    - Sec 4.7 Problems 21, 41
    - Sec 4.10 Problems 8, 16

   Homework #06 (hints):
    - Sec 5.1 Problems 5, 24, 29
    - Sec 5.2 Problems 8, 14, 16, 19, 24, 28
    - Sec 5.3 Problems 17, 24, 35, 41
    - Sec 5.4 Problems 19, 24, 41
    - Sec 5.6 Problems 8, 11, 24, 25
    - Sec 5.7 Problems 4, 12, 34
    - Sec 5.8 Problems 5, 17, 30

   Homework #07 (hints):
    - Sec 7.1 Problems 16, 31, 40, 50
    - Sec 7.2 Problems 24, 38, 51
    - Sec 7.3 Problems 16, 29, 48, 56, 82

   Homework #08 (hints):
    - Sec 7.4 Problems 10, 17, 34, 44
    - Sec 7.5 Problems 4, 10, 17
    - Sec 8.2 Problems 2, 24, 32

   Homework #09 (hints):
    - Sec 6.1 Problems 30, 37
    - Sec 6.2 Problems 10, 22, 24
    - Sec 6.3 Problems 16, 32
    - Sec 6.4 Problems 11, 35

   Homework #10 (hints):
    - Sec 11.1 Problems 8, 25
    - Sec 11.2 Problems 7, 10, 21
    - Sec 11.3 Problems 16, 27, 44

   Homework #11 (hints):
    - Sec 12.1 Problems 4, 9
    - Sec 12.2 Problems 2, 11
    - Sec 12.3 Problems 5
    - Sec 12.4 Problems 4
    - Sec 12.5 Problems 8

Exams

   Midterm solutions and grade distribution.
   Final solutions.

Office Hours

Instructor: Prof. Chun-Jen Tsai
Office: EC718, Extension: 31628.
Time: Mon. 9:00 - 10:00 and Wed. 10:00 - 12:00.
Note: you can always email me for an appointment beyond regular hours.