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 September 10 
1.1, 1.2 and start 1.3 
Differential equations, solution, direction fields 
Wednesday September 12 
1.3, 2.1 
Classification of differential equations, Linear and Separable equations, integrating factors 
Friday September 14 
2.2, 2.4 
Nonlinear equations, and more about 
Monday September 17 
2.3 
Modeling with differential equations 
Wednesday September 19 
2.5, 2.6 
Autonomous equations and population dynamics. Start Exact equations. 
Thursday September 20 xhour 
2.6 
Exact equations integrating factors 
Friday September 21 
3.1, 3.2 
Homogeneous equations with constant coefficients, their solutions, Wronskian 
Monday September 24 
3.3, 3.4 
Complex roots, repeated roots 
Wednesday September 26 
3.4 
Reduction of order 
Friday September 28 
3.5 
Nonhomogeneous equations, method of undetermined coefficients 
Monday October 1 First Midterm Exam is 68 PM Tuesday October 2 in Carpenter 013 
3.6 
Variation of parameter 
Wednesday October 3 
3.7, 3.8 
Mechanical and Electrical vibrations, forced vibrations 
Thursday October 4 xhour for Chernov’s section 
4.1, 4.2 
Nth order linear differential equations, homogeneous equations with constant coefficients 
Friday October 5 No class for Chernov’s section, instead this section has an xhour on October 4. Melikhov’ section meets on this day 


Monday October 8 
4.3 
Method of undetermined coefficients 
Wednesday October 10 
4.4 
Variation of parameter 
Friday October 12 
5.1, 5.2 
Powers series and series solutions near an ordinary point 
Monday October 15 
5.3, 5.4 
Series solutions near an ordinary and near a regular singular point 
Wednesday October 17 
7.1, 7.2 
Introduction to systems of first order linear differential equations, review of matricies 
Friday October 19 
7.3 
Linear independence, eigen values and eigen vectors 
Monday October 22 Second Midterm Exam is 68 PM on Tuesday October 23 in Carpenter 013 
7.4, 7.5 

Wednesday October 24 
7.6 
Complex Eigen Values 
Thursday October 25 xhour 
7.8 
Repeated eigen values 
Friday October 26 Homecoming weekend No class, instead we have an xhour on Thursday October 25 


Monday October 29 
10.1 
Two point boundary value problem 
Wednesday October 31 
10.2 
Fourier Series 
Friday November 2 
10.3, 10.4 
Fourier Convergence Theorem, Even and odd functions and their fourier series 
Monday November 5 
10.5 
Separation of variables heat conduction in a rod 
Wednesday November 7 
10.6 
Other heat conduction problems 
Friday November 9 
10.7 
Wave equation 
Monday November 12 
Wrap up 
Wrap up 
Wednesday November 14  Thursday November 15 PreExamination Break 


Math 23 Final Exam is 11:302:30 PM on Friday November 16 in Kemeny 008 


Final Examinations begin on Saturday November 16 and end on Tuesday November 20 

