Lecture Plan
The following is a tentative schedule for the course. Please check back regularly for updates as the term progresses.
Lectures  Sections in Text  Description  Practice Problems 

Monday
March 26 
1.1, 1.2 
What are differential equations?
DirectionFields.nb 
§1.1: #1, 2, 26
§1.2: # 1(a), 2(a) KA  Differential equations intro KA  Slope fields & equations 
Wednesday
March 28 
1.3, 2.1 
Classification and linear firstorder ODEs
DirectionFields2.nb 
§2.1: #1, 9, 12 
Friday
March 30 
2.2, 2.4 
Separable equations and existenceuniqueness theorems
DirectionFields3.nb 
§2.2: #9, 11
§2.4: #3, 7, 11 KA  Separable equations KA  Exponential model equations 


Monday
April 02 
2.3 
Modeling with differential equations
MixingPlot.nb , WorksheetSlopeFields.nb 
§2.3: Solve the IVPs in Examples 2 and 3
§2.3: #9, 10 KAWrite differential equations 
Wednesday
April 04 
2.5  Autonomous equations and population dynamics 
§2.5: #9, 23
Review multivariable chain rule KA  Slope fields & solutions 
Friday
April 06 
2.6 
Exact equations
LastExamplePlot.nb 
§2.6: #23, 26, 30, 31 


Monday
April 9 
2.6 cont'd 3.1 
Second order constant coefficient with distinct real roots; 
§3.1: #2, 4

Wednesday
April 11 
3.2, 3.3 
the Wronskian, Complex conjugate roots SolutionPlots.nb 
§3.2: #2, 4, 14, 25
§3.3: #8, 27 
Friday
April 13 
3.4  Repeated roots and reduction of order  §3.4: #2, 16, 24 


Monday
April 16 
3.5  Method of undetermined coefficients  §3.5: #5, 19 
Wednesday
April 18 
3.6  Variation of parameters  §3.6: #9, 13 
Friday
April 20 
6.1, 6.2  Laplace Transform and the IVP  KA: Laplace transform intro
KA: Properties of the Laplace transform KA: Laplace transform to solve a differential equation 


Monday
April 23 
6.3, 6.4  IVPs with discontinuous forcing functions  KA: Laplace/step function differential equation 
Wednesday
April 25 
6.5, 6.6  Impulse Functions and the convolution integral  KA: The convolution integral 
Friday
April 27 
7.1, 7.2  Review of matrices
Demo 
§7.1: #10, 14 


Monday
April 30 
Review 
Review / Catch up 

Wednesday May 02 
Midterm 
Midterm 4:00 PM  6:00 PM Murdough A02 Cook Auditorium. (from all covered sections before Chap 7) 
Past exams 
Wednesday
May 02 
7.3  Review of matrices and systems of ODEs.  §7.3: #17, 18 
Friday
May 04 
7.4  Existence and uniqueness of solutions of systems of ODEs 



Monday
May 07 
7.5 
Constant coefficients systems with distinct real eigenvalues Example2Plots.nb, Example3Plots.nb, EigenManipulate.nb 
§7.5: #3, 12 
Wednesday
May 9 
7.6 
Constant coefficient systems with complex conjugate eigenvalues ComplexEigenPlot.nb 
§7.6: #2, 6 
Friday
May 11 
7.6 cont'd + Linear Alg. 
Review of some facts from Linear Algebra 



Monday
May 14 
7.7 (part of) 7.8 
Defective matrix case  §7.8: #1, 18 
Wednesday
May 16 
7.8 cont'd 
Defective matrix case 
§7.8: # 19, 20, 21, 22 
Friday
May 18 
10.1, 10.2 
Boundary value problems; eigenfunctions, Fourier series 
§10.1: # 1, 5, 7, 11, 14, 15, 16 §10.2: # 7, 9, 10 


Monday
May 21 
10.3 10.4 
Fourier convergence theorem FourierPlots.nb Even and odd functions 
§10.3: # 1, 2, 5 §10.4: # 7, 17 
Wednesday
May 23 
10.5 
The heat equation HeatEqnPlot.nb 
§10.5: # 7, 9, 12 
Friday
May 25 
10.7 
Wave Equation 
§10.7: # 2a, 5a, 8a 


Monday
May 28 
No class!  Memorial day 

Monday
May 30  Review / Catch up 
 
Friday, June 1, 
Final Exam 
Time: 11:30 AM Location: Carson L01 (from all covered sections) 
Past exams 