Math 23
Differential Equations
Tentative Lecture plan
This lecture plan is tentative and it will not be updated. The homework page will be updated on the regular basis
Lectures 
Sections in Text 
Brief Description 
Monday January 5 
1.1, 1.2 and start 1.3 
Differential equations, solution, direction fields 
Wednesday January 7 
1.3, 2.1 
Classification of differential equations, Linear and Separable equations, integrating factors 
Friday January 9 
2.2, 2.4 
Nonlinear equations, and more about 
Monday January 12 
2.3 
Modeling with differential equations 
Wednesday January 14 
2.5, 2.6 
Autonomous equations and population dynamics. Start Exact equations. 
Friday January 16 
2.6 
Exact equations integrating factors 
Monday January 19 MLK day classes moved to xhour 
3.1, 3.2 
Homogeneous equations with constant coefficients, their solutions, Wronskian 
Wednesday January 21 
3.3, 3.4 
Complex roots, repeated roots 
Friday January 23 
3.4 
Reduction of order 
Monday January 26 
3.5 
Nonhomogeneous equations, method of undetermined coefficients 
Wednesday January 28 First Midterm Exam is 68 PM Thursday January 29 in Silsby 028 
3.6 
Variation of parameter 
Friday January 30 
3.7, 3.8 
Mechanical and Electrical vibrations, forced vibrations 
Monday February 2 
4.1, 4.2 
Nth order linear differential equations, homogeneous equations with constant coefficients 
Wednesday February 4 
4.3 
Method of undetermined coefficients 
Friday February 6 Carnival Holiday classes moved to xperiods 
4.4 
Variation of parameter 
Monday February 9 
5.1, 5.2 
Powers series and series solutions near an ordinary point 
Wednesday February 11 
5.3, 5.4 
Series solutions near an ordinary and near a regular singular point 
Friday February 13 
7.1, 7.2 
Introduction to systems of first order linear differential equations, review of matricies 
Monday February 16 
7.3 
Linear independence, eigen values and eigen vectors 
Wednesday February 18 Second Midterm Exam is 68 PM Thursday February 19 in Silsby 028 
7.4, 7.5 

Friday February 20 
7.6 
Complex Eigen Values 
Monday February 23 
7.8 
Repeated eigen values 
Wednesday February 25 
10.1 
Two point boundary value problem 
Friday February 27 
10.2 
Fourier Series 
Monday March 2 
10.3, 10.4 
Fourier Convergence Theorem, Even and odd functions and their fourier series 
Wednesday March 4 
10.5 
Separation of variables heat conduction in a rod 
Friday March 6 
10.6 
Other heat conduction problems 
Monday March 9 
10.7 
Wave Equation 
Wednesday March 11 Thursday March 12 PreExamination Break 


Math 23 Final Exam is 36 PM on Monday March 16 in Wilder 111 

