# 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
Friday
January 4
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
Monday
January 7
1.3, 2.1 Classification and linear first-order ODEs
DirectionFields2.nb
§2.1: #1, 9, 12
Wednesday
January 9
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
Friday January 11 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
Monday
January 14
2.5 Autonomous equations and population dynamics §2.5: #9, 23
Review multivariable chain rule
KA - Slope fields & solutions
Wednesday
January 16
2.6 Exact equations
LastExamplePlot.nb
§2.6: #23, 26, 30, 31
Friday
January 18
3.1, 3.2 Second order constant coefficient equations
with distinct roots; the Wronskian
§3.1: #2, 4
§3.2: #2, 4, 14
Tuesday (X Hour)
January 22
3.3 Complex conjugate roots
SolutionPlots.nb
§3.2: # 25
§3.3: # 2, 16, 24
Tuesday January 22
4:30 - 6:30, Carpenter 013 7:00 - 9:00, Kemeny 105 (alternative time)
1st Midterm 1st Midterm:material through 3.1. Past exams
Wednesday
January 23
3.4 Repeated roots and reduction of order §3.4: # 2, 16, 24
Friday
January 25
3.5, 3.6 Method of undetermined coefficients; Variation of parameters §3.5: #5, 19
§3.6: #9, 13
Monday
January 28
7.1, 7.2 Review of matrices.
Demo
§7.1: #10, 14
Wednesday
January 30
7.3, 7.4 Systems of ODEs; Existence and uniqueness of solutions of systems of ODEs. §7.3: #17, 18
§7.4: #6
Friday
February 1
7.5 Constant coefficients systems with distinct real eigenvalues
Example2Plots.nb, Example3Plots.nb, EigenManipulate.nb
§7.5: #3, 12
Monday
February 4
7.6 Constant coefficient systems with complex conjugate eigenvalues
ComplexEigenPlot.nb
§7.6: #2, 6
Wednesday
February 6
7.8 Repeated Eigenvalues §7.8: #1, 18
Friday
February 8
7.8 & 9.1 Repeated eigenvalues; Phase plane; linear systems §9.1: #1, 8
Monday
February 11
9.1; begin 7.9. Phase Plane; Linear Systems §9.1: # 1, 8
Tuesday February 12
4:30 - 6:30, Carpenter 013 7:00 - 9:00 (ALTERNATIVE TIME CANCELED)
2nd Midterm 2nd Midterm
Material from 3.3 through 7.8.
Past exams
Wednesday
February 13
7.9 Nonhomogeneous Linear Systems §7.9: # 1, 3, 15
Friday
February 15
9.2 Autonomous Systems and Stability §9.2: # 1, 3, 5
Plotting slope fields and trajectories
Direction field plotter
Monday
February 18
9.3 9.4 Locally Linear Systems §9.3: # 1, 3, 5
Wednesday
February 20
9.4 and 9.5 Competing Species and Predator-Prey Equations §9.4: # 1, 8 §9.5: # 1, 3, 11
Friday
February 22
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
February 25
6.3 IVPs and Step functions KA: Laplace/step function differential equation
Wednesday
February 27
6.4, 6.5 Discontinuous forcing functions, Impulse Functions KA: The convolution integral
Friday
March 1
6.6 The convolution integral §6.6: # 9, 13 KA: The convolution integral
Monday March 4 Course Wrap Up
Wednesday
March 6
Course wrap up Course instruction ends.
Sunday
March 10
Room Kemeny 008
3:00 pm Final
The exam is cumulative and covers material from the whole term.
Past exams