Lectures

Textbook Sections

Course Topics

Day 1,  Monday 3/29/21

1.1, 1.2

What are differential equations

Day 2, Wednesday  3/31/21

1.3, 2.1

Classification and linear first-order ODEs

Day 3, Friday 4/2/21

2.2, 2.4

          Separable equations and existence-uniqueness theorems.

Day 4, Monday 4/5/21

2.3

Modeling with differential equations

Day 5, Wednesday 4/7/21

2.5

Autonomous equations and population dynamics

Day 6, Friday 4/9/21

2.6

Exact equations

Day 7, Monday 4/12/21

3.1

Second order constant coefficient equations
with distinct roots; the Wronskian

Day 8, Wednesday 4/14/21

3.2, 3.3

Complex conjugate roots

Day 9, Friday 4/16/21

3.4

Repeated roots and reduction of order

Day 10, Monday 4/19/21

3.5, 3.6

  Method of undetermined coefficients; Variation of parameters       

Tuesday 4/20/21 First 2-hour Midterm Exam

Day 11, Wednesday 4/21/21

7.1, 7.2

Review of matrices.

Day 12, Friday 4/23/20

7.3, 7.4

Systems of ODEs; Existence and uniqueness of solutions of systems of ODEs.

Day 13, Monday 4/26/21

7.5

Constant coefficients systems with distinct real eigenvalues

Day 14, Wednesday 4/28/21

7.6

Constant coefficient systems with complex conjugate eigenvalues

Day 15, Friday 4/30/21

7.8

Repeated Eigenvalues

Day 16, Monday 5/3/21

7.8, 9.1

Repeated eigenvalues; Phase plane; linear systems

Day 17, Tuesday 5/4/21

 X-hour class instead of the Memorial Day

9.1 and begin 7.9

Phase Plane; Linear Systems

Day 18 Wednesday 5/5/21

9.2

Autonomous Systems and Stability

Locally Linear Systems

Day 19, Friday 5/7/21

9.3, 9.4

Locally Linear Models

Day 20, Monday 5/10/21

9.4, 9.5 

Competing Species and Predator-Prey Equations

Second 2-hour Midterm Exam

Tuesday May 11

Day 21, Wednesday 5/12/21

6.1. 6.2

Laplace Transform and the IVP

Day 22, Friday 5/14/21

6.3

IVPs and Step function

Day 23 Monday 5/17/21

6.4

Discontinuous forcing functions,

Day 25, Wednesday 5/19/22

6.5

Impulse Functions

Day 26, Friday 5/22/21

6.6

The convolution integral

Day 27, Monday 5/25/21

10.1

Two-point boundary value problems

Day 28,  Wednesday 5/26/21

10.2

Fourier Series

Day 29, Friday 5/28/21

10.3

The Fourier Convergence Theorem

Monday 5/31/21

Memorial Day, No Class

Day 30, Wednesday 6/2/21

Course Wrap Up

3 Hour Final Exam 8-11 AM on Sunday June 6