| Date |
Reading |
Topics |
Homework |
Handout |
| Mar. 25 Mon |
Ch. 1.1-1.3
|
Introduction, y'=f(x), separable
equation, falling object
|
|
Overview
|
| Mar. 26 Tue (x-hour) |
Linear Algebra
|
Matrix representation
|
|
Matrix
|
| Mar. 27 Wed |
Ch. 1.4-1.5 |
Classification, initial value problem,
integral curves, and directional fields
|
|
1st
order - part 1 |
| Mar. 29 Fri |
Ch. 1.6-1.7 |
Integrating factor and exact equations
|
HW
1
|
1st
order - part 2 |
| Apr. 1 Mon |
Ch. 2.1-2.2
|
2nd order linear differential
equation, undamped harmonic oscillator
|
HW1
Solution |
2nd
order - part 1
|
| Apr. 2 Tue (x-hour) |
Appendix A
|
Complex numbers
|
|
|
| Apr. 3 Wed |
Ch. 2.3-2.4 |
Constant coefficient, linear
independence, Wronskian, reduction of order
|
|
|
| Apr. 5 Fri |
Ch. 2.3-2.4
|
Constant coefficient
|
HW
2
|
|
Apr. 8 Mon
|
Ch. 2.4-2.5
|
Constant coefficient: Repeated roots
& complex roots
|
HW2
Solution |
2nd
order - part 2
|
Apr. 9 Tue (x-hour)
|
|
|
|
|
| Apr. 10 Wed |
Ch. 2.6-2.7 |
Inhomogeneous equation: method of
undetermined coefficients, Mechanical vibrations |
|
|
Apr. 12 Fri
|
Ch. 2.8 |
Mechanical vibrations, variation of
parameters
|
HW
3
|
|
| Apr. 15 Mon |
Linear Algebra
|
System of linear equations : matrix
inversion
|
HW3
Solution |
Linear
Algebra
|
| Apr. 16 Tue (x-hour) |
Ch. 3.1-3.2 |
Intro to systems of differential
equations and autonomous systems |
|
System
of ODE -part 1
|
| Apr. 17 Wed |
Ch. 3.2 |
Systems of differential equations |
|
|
Apr. 17 Wed
|
|
Exam
I (Location : Carpenter 013 and Time : 4:00-6:00PM)
|
Exam
I solution
|
Practice
Exam I
|
Apr. 19 Fri
|
Ch. 3.3-3.4
|
Linear system : elimination method,
eigenvalues and eigenvectors
|
HW
4
|
Practice
Exam I Solution
|
| Apr. 22 Mon |
Ch. 3.4
|
Eigenvalues, eigenvectors, and
diagonalization
|
HW
4 Solution |
System
of ODE -part 2 |
| Apr. 23 Tue (x-hour) |
Linear Algebra
|
Determinants
|
|
|
| Apr. 24 Wed |
|
Class cancelled
|
|
|
| Apr. 26 Fri |
Ch. 3.5 |
Repeated and complex eigenvalues |
HW
5
|
|
| Apr. 29 Mon |
Ch. 4.1 |
Intro. Higher-order differential
equations |
HW
5 Solution
|
|
| Apr. 30 Tue (x-hour) |
Ch. 4.2 |
Homogeneous higher-order differential
equations |
|
|
| May 1 Wed |
Ch. 4.3 |
Homogeneous higher-order differential
equations : distinct eigenvalues |
|
|
| May 3 Fri |
Ch. 4.3-4.4 |
Homogeneous higher-order differential
equations : distinct eigenvalues |
HW
6
|
|
| May 6 Mon |
Ch. 4.5 |
Matrix exponential |
HW
6 Solution |
|
| May 7 Tue (x-hour) |
Ch. 5.1-5.2 |
Power series |
|
Power
series |
| May 8 Wed |
Ch. 5.3
|
Ordinary points
|
|
|
May 10 Fri
|
Ch. 5.4
|
Singular points
|
HW
7
|
|
May 13 Mon
|
Ch. 5.6-5.7
|
Bessel's equations
|
HW
7 Solution |
|
| May 14 Tue (x-hour) |
|
|
|
|
May 15 Wed
|
PDE
|
Boundary value problem and Eigenvalue
problem
|
|
|
May 15 Wed
|
|
Exam
II (Location : Carpenter 013 and Time : 4:00-6:00PM) |
Exam
II solution |
|
May 17 Fri
|
PDE 4.1
|
Boundary value problem and Eigenvalue
problem |
HW
8
|
|
May 20 Mon
|
PDE 4.2-4.3
|
Fourier series
|
HW
8 Solution |
|
| May 21 Tue (x-hour) |
PDE 4.3-4.4
|
Fourier series |
|
|
| May 22 Wed |
PDE 4.4 & 4.6
|
Heat equation : Separation of
variables |
|
|
| May 24 Fri |
PDE 4.7
|
Heat and wave equation : Separation of
variables
|
HW
9
|
|
| May 27 Mon |
|
Memorial Day (No class) |
HW
9 Solution
|
|
| May 28 Tue (x-hour) |
PDE 4.8
|
Wave equation : Separation of
variables |
|
|
| May 29 Wed |
|
Review
|
|
|
| Jun. 1 Sat |
|
Final
exam (11:30AM and Location: Wilder 104) |
|
|