Tentative Course Syllabus for Math 23
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 firstorder ODEs 
Day 3, Friday 4/2/21 
2.2, 2.4 
Separable equations and existenceuniqueness 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 
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 2hour 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 Xhour 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 PredatorPrey Equations 
Second 2hour 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 
Twopoint 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 811 AM on Sunday June 6 

