Week

Prerequisites

Lecture Notes (Sections)
 Common Mistakes

Q&A

Homeworks

1
(Jan. 9 13)


01 Separable Equations (2.1, 2.2)
02 Linear Equations (2.3)
03 Exact Equations (2.4)
 Separable, Linear, Exact

QA01: Linear Equations

HW1 (Sol) (Covers Chap. 2)

2
(Jan. 16  20)


04 Homogeneous and G(ax+by) (2.6)
05 Bernoulli and Linear Coefficients (2.6)
06 Constantcoefficient, Homogeneous, 2nd Order Equations (4.2)
 Homogeneous, Bernoulli, Constant Coefficient 2nd Order Linear

QA02: Constant Coefficient 2nd Order Linear

HW2 (Sol Updated Feb. 29)
(Covers 4.2  4.5)

3
(Jan. 23  27)


07 Higher Order Equations (4.3)
08 Undetermined Coefficients (4.4)
09 Undetermined Coefficients (Cont.) (4.5)
 Constant Coefficient, Undetermined Coefficients

No Question This Week

HW3 (Sol Updated Feb. 23)
(Covers 4.6,4.7,8.5)

4
(Jan. 30  Feb. 3)

Nothing new is needed.

10 Variation of Parameters (4.6)
11 General 2nd Order Linear Equations (4.7)
12 CauchyEuler Equations (8.5)
 Variation of Parameters; CauchyEuler

QA03: General 2nd Order Linear Equations

HW4 (Sol)
(Covers 7.2  7.5)

5
(Feb. 6  10)


13 Laplace Transform (7.2)
14 Solving Equations (7.3)
15 More Equations (7.4)
 Laplace Transform Method

QA04: Partial Fraction;

HW5 (Sol)
Updated Feb. 10, Added one Prob on Periodic Functions.
(Covers 7.6  7.9)

6
(Feb. 13  17)

Nothing New is Needed.

16 More Equations (7.5, 7.9)
17 Discontinuous and Periodic Functions (7.6)
18 Convolution (7.7)




7
(Feb. 27  Mar. 2)

Nothing New is Needed.

19 Impulse Function (7.8)
Midterm Review (All Sections)
Mid Rev Sol 1
Mid Rev Sol 2
20 Review: Chapter 4 & 8.5
21 Review: Chapter 2
(Updated 3pm, Mar 2)




8
(Mar. 5  9)


22 Power Series Method (8.2)
23 Radius of Convergence; Examples (8.3)
24 More Examples (8.4)



HW6 (Sol)
Updated Mar. 7, added 3 new problems
Updated Mar. 22, a typo in (59) fixed
(Covers 8.2  8.4)

9
(Mar. 12  16)


25 Partial Differential Equations: Introduction and Overview of Chapter 10(10.1)
26 Boundary Value Problems (10.2)
27 Separation of Variables: Simple Cases (10.2)



HW7 (Sol)
(Covers 10.1  10.4)

10
(Mar. 19  23)


28 SturmLiouville Theory (10.3)
29 Fourier Series (10.3)
30 Fourier Sine and Cosine Series (10.4)



HW8 (Sol)
Updated Apr. 4, Sol to 1st problem corrected
(Covers 10.3  10.5)

11
(Mar. 26  30)


31 Heat Equation with Dirichlet Boundary Conditions (10.5)
32 Heat Equation with Neumann Boundary Conditions (10.5)
33 Heat Equation with Nonhomogeneous Boundary Conditions (10.5)




12
(Apr. 2  4)


34 Nonhomogeneous Heat Equations (10.5)
35 Heat Equations with Other Boundary Conditions (10.5)



HW9 (Sol)
Updated Apr. 19. Typos in Prob3 Corrected
(Covers 10.5)

13
(Apr. 11  13)


36 Review of Chapter 8 (Power Series)
37 Review of 7.77.9 (Laplace Transform)



