# 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
Wednesday
September 12
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
Friday
September 14
1.3, 2.1 Classification and linear first-order ODEs
DirectionFields2.nb
§2.1: #1, 9, 12
Monday
September 17
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
Thursday X hour September 20 (Section 1 Gelb) OR
Wednesday September 19 (Section 2 Lin)
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
Friday
September 21
2.5 Autonomous equations and population dynamics §2.5: #9, 23
Review multivariable chain rule
KA - Slope fields & solutions
Monday
September 24
2.6 Exact equations
LastExamplePlot.nb
§2.6: #23, 26, 30, 31
Wednesday
September 26
3.1, 3.2 Second order constant coefficient equations
with distinct roots; the Wronskian
§3.1: #2, 4
§3.2: #2, 4, 14
Friday
September 28
3.3 Complex conjugate roots; Runge-Kutta Method
SolutionPlots.nb
§3.2: 
§3.3: , 16, 24
Monday
October 1
3.4 Repeated roots and reduction of order §3.4: , 16, 24
Tuesday
October 2: 4:30 - 6:30 pm, Location Kemeny 008
1st Midterm 1st Midterm:material through 3.2. Past exams
Wednesday
October 3
3.5, 3.6 Method of undetermined coefficients; Variation of parameters §3.5: #5, 19
§3.6: #9, 13
Friday
October 5
7.1, 7.2 Review of matrices.
Demo
§7.1: #10, 14
Monday
October 8
7.3, 7.4 Systems of ODEs; Existence and uniqueness of solutions of systems of ODEs. §7.3: #17, 18
§7.4: #6
Wednesday
October 10
7.5 Constant coefficients systems with distinct real eigenvalues
Example2Plots.nb, Example3Plots.nb, EigenManipulate.nb
§7.5: #3, 12
Friday
October 12
7.6 Constant coefficient systems with complex conjugate eigenvalues
ComplexEigenPlot.nb
§7.6: #2, 6
Monday
October 15
7.7 Fundamental Matrices §7.7: #2, 12
Wednesday
October 17
7.8 Repeated eigenvalues §7.8: #1, 18
Friday
October 19
9.1 Phase Plane: Linear Systems §9.1: # 1, 8
Monday
October 22
7.9 Nonhomogeneous Linear Systems §7.9: # 1, 3, 15
Wednesday
October 24
9.2 Autonomous Systems and Stability §9.2: # 1, 3, 5
Plotting slope fields and trajectories
Direction field plotter
Friday
October 26
9.3 9.4 Locally Linear Systems §9.3: # 1, 3, 5
Monday
October 29
9.4 and 9.5 Competing Species and Predator-Prey Equations §9.4: # 1, 8 §9.5: # 1, 3, 11
Tuesday
October 30: 4:30 - 6:30 pm, Kemeny 008.
2nd Midterm 2nd Midterm
Material from 3.5 through 9.3.
Past exams
Wednesday
October 31
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
Friday
November 2
6.3 IVPs and Step functions KA: Laplace/step function differential equation
Monday
November 5
6.4, 6.5 Discontinuous forcing functions, Impulse Functions KA: The convolution integral
Wedensday
November 7
6.6 The convolution integral §6.6: # 9, 13 KA: The convolution integral
Thursday X hour November 8 (Section 2 Lin) OR
Friday November 9 (Section 1 Gelb)
Course Wrap Up
Monday
November 12
Course wrap up
Tuesday
November 13
Course instruction ends.
Friday
November 16
Room Kemeny 008
11:30 am Final
The exam is cumulative and covers material from the whole term.
Past exams