# 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 first-order ODEs
DirectionFields2.nb
§2.1: #1, 9, 12
Friday
March 30
2.2, 2.4 Separable equations and existence-uniqueness 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
KA-Write 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