# 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 27
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 29
1.3, 2.1 Classification and linear first-order ODEs
DirectionFields2.nb
§2.1: #1, 9, 12
Friday
March 31
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 03
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 05
2.5 Autonomous equations and population dynamics §2.5: #9, 23
Review multivariable chain rule
KA - Slope fields & solutions
Friday
April 07
2.6 Exact equations
LastExamplePlot.nb
§2.6: #23, 26, 30, 31
Monday
April 10
3.1, 3.2 Second order constant coefficient with distinct real roots; the Wronskian §3.1: #2, 4
§3.2: #2, 4, 14
Wednesday
April 12
3.3 Complex conjugate roots
SolutionPlots.nb
§3.2: #25
§3.3: #8, 27
Friday
April 14
3.4 Repeated roots and reduction of order §3.4: #2, 16, 24
Monday
April 17
3.5 Method of undetermined coefficients §3.5: #5, 19
Wednesday
April 19
3.6 Variation of parameters §3.6: #9, 13
Friday
April 21
3.7, 3.8 Modeling of vibrations
Demos: 1 , 2 , 3 , 4
ForcedVibrationsPlot.nb
§3.7: #19
§3.8: #17
Monday
April 24
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
Wednesday
April 26
6.3, 6.4 IVPs with discontinuous forcing functions KA: Laplace/step function differential equation
Friday
April 28
6.5, 6.6 Impulse Functions and the convolution integral KA: The convolution integral
Monday
May 01
7.1, 7.2 Review of matrices
Demo
§7.1: #10, 14
Wednesday May 03
4 - 6 pm, Silsby 028
Midterm Midterm
Coverage: from the beginning to the end of 6.4
Past exams
Wednesday
May 03
7.3 Review of matrices and systems of ODEs. §7.3: #17, 18
Friday
May 05
7.4 Existence and uniqueness of solutions of systems of ODEs
Monday
May 08
7.5 Constant coefficients systems with distinct real eigenvalues
Example2Plots.nb, Example3Plots.nb, EigenManipulate.nb
§7.5: #3, 12
Wednesday
May 10
7.6 Constant coefficient systems with complex conjugate eigenvalues
ComplexEigenPlot.nb
§7.6: #2, 6
Friday
May 12
7.8 Repeated eigenvalues §7.8: #1, 18
Monday
May 15
7.9 Variation of parameters §7.9: # 1, 3, 15
Wednesday
May 17
9.1 The Phase Plane: Linear Systems §9.1: # 1, 13
Friday
May 19
9.2 Autonomous Systems and Stability §9.2: # 1, 3, 5
Plotting slope fields and trajectories
Monday
May 22
9.3 Locally Linear Systems §9.3: # 1, 3, 5
Wednesday
May 24
9.4 Competing-Species equations §9.4: # 1
Friday
May 26
9.5 Predator-Prey equations §9.5: # 1, 3
Monday
May 29
No class! Memorial day
Thursday
June 01
Kemeny 008
11:30 am Final: covers TBA Past exams