# 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
September 11
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
Plotting slope fields and trajectories
Wednesday
September 13
1.3, 2.1 Classification and linear first-order ODEs
DirectionFields2.nb
§2.1: #1, 9, 12
Friday
September 15
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
September 18
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
September 20
2.5 Autonomous equations and population dynamics §2.5: #9, 23
Review multivariable chain rule
KA - Slope fields & solutions
Friday
September 22
2.6 Exact equations
LastExamplePlot.nb
§2.6: #23, 26, 30, 31
Monday
September 25
3.1, 3.2 Second order constant coefficient with distinct real roots; the Wronskian §3.1: #2, 4
§3.2: #2, 4, 14
Wednesday
September 27
3.3 Complex conjugate roots
SolutionPlots.nb
§3.2: #25
§3.3: #8, 27
Friday
September 29
3.4 Repeated roots and reduction of order §3.4: #2, 16, 24
Monday
October 2
3.5 Method of undetermined coefficients §3.5: #5, 19
Wednesday
October 4
3.6 Variation of parameters §3.6: #9, 13
Thursday
October 5 4 - 6 pm, Carpenter 013 Herb West Lecture Hall
1st Midterm 1st Midterm
Coverage: from the beginning to the end of 3.4
Past exams
Friday
October 6
3.7, 3.8 Modeling of vibrations
Demos: 1 , 2 , 3 , 4
ForcedVibrationsPlot.nb
§3.7: #19
§3.8: #17
Monday
October 9
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
October 11
6.3, 6.4 IVPs with discontinuous forcing functions KA: Laplace/step function differential equation
Friday
October 13
6.5, 6.6 Impulse Functions and the convolution integral KA: The convolution integral
Monday
October 16
7.1, 7.2 Review of matrices
Demo
§7.1: #10, 14
Wednesday
October 18
7.3 Review of matrices and systems of ODEs. §7.3: #17, 18
Friday
October 20
7.4 Existence and uniqueness of solutions of systems of ODEs
Monday
October 23
7.5 Constant coefficients systems with distinct real eigenvalues
Example2Plots.nb, Example3Plots.nb, EigenManipulate.nb
§7.5: #3, 12
Wednesday
October 25
7.6 Constant coefficient systems with complex conjugate eigenvalues
ComplexEigenPlot.nb
§7.6: #2, 6
Thursday
October 26 4 - 6 pm, Carpenter 013 Herb West Lecture Hall
2nd Midterm 2nd Midterm
Coverage: from the beginning to the end of 7.4
Past exams
Friday
October 27
7.8 Repeated eigenvalues §7.8: #1, 18
Monday
October 30
7.9 Variation of parameters §7.9: # 1, 3, 15
Wednesday
November 1
9.1 The Phase Plane: Linear Systems §9.1: # 1, 13
Friday
November 3
9.2 Autonomous Systems and Stability §9.2: # 1, 3, 5
Plotting slope fields and trajectories
Monday
November 6
9.3 Locally Linear Systems §9.3: # 1, 3, 5
Wednesday
November 8
9.4 Competing-Species equations §9.4: # 1
Friday
November 10
9.5 Predator-Prey equations §9.5: # 1, 3
Monday
November 13
Friday
November 17
Kemeny 008
3:00 pm Final
Coverage: from the beginning to the end of 9.5
Past exams