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
January 3 
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
January 5 
1.3, 2.1 
Classification and linear firstorder ODEs
DirectionFields2.nb 
§2.1: #1, 9, 12 
Sunday
January 7 
There will be MATLAB demonstration during tutorial on direction fields.  
Monday
January 8 
2.2, 2.4 
Separable equations and existenceuniqueness theorems.
DirectionFields3.nb 
§2.2: #9, 11
§2.4: #3, 7, 11 KA  Separable equations KA  Exponential model equations 
Wednesday
January 10 
2.3 
Modeling with differential equations
MixingPlot.nb , WorksheetSlopeFields.nb 
§2.3: Solve the IVPs in Examples 2 and 3
§2.3: #9, 10 KAWrite differential equations 
Friday
January 12 
2.5  Autonomous equations and population dynamics 
§2.5: #9, 23
Review multivariable chain rule KA  Slope fields & solutions 
Monday
January 15 (class moved to xhour) 
2.6 
Exact equations
LastExamplePlot.nb 
§2.6: #23, 26, 30, 31 
Wednesday
January 17 
2.7, 8.1  Numerical Approximations: Euler's Method 
§2.7: #4, 9, 16
§8.1: #10, 19 
Thursday
January 18 
There will be a MATLAB demonstration in tutorial on the Euler Method.  
Friday
January 19 
8.2, 8.3  Improvements on Euler's Method; RungeKutta Method 
§8.2: #10
§8.3: # 10 
Sunday
January 21 
There will be a MATLAB demonstration in tutorial on the Runge Kutta method.  
Monday
January 22 
3.1, 3.2  Second order constant coefficient with distinct real roots; the Wronskian 
§3.1: #2, 4
§3.2: #2, 4, 14 
Wednesday
January 24 
3.3 
Complex conjugate roots
SolutionPlots.nb 
§3.2: #25
§3.3: #8, 27 
Thursday
January 25 4  6 pm, Location Silsby 028 
1st Midterm  1st Midterm:material through 8.3.  Past exams 
Friday
January 26 
3.4  Repeated roots and reduction of order  §3.4: #2, 16, 24 
Monday
January 29 
3.5, 3.6  Method of undetermined coefficients; Variation of parameters 
§3.5: #5, 19
§3.6: #9, 13 
Wednesday
January 31 
7.1, 7.2 
Review of matrices.
Demo 
§7.1: #10, 14 
Thursday
Feruary 1 
Matrices will be reviewed in tutorial.  
Friday
February 2 
7.3, 7.4  Systems of ODEs; Existence and uniqueness of solutions of systems of ODEs. 
§7.3: #17, 18
§7.4: #6 
Monday
February 5 
7.5 
Constant coefficients systems with distinct real eigenvalues Example2Plots.nb, Example3Plots.nb, EigenManipulate.nb 
§7.5: #3, 12 
Wednesday
February 7 
7.6 
Constant coefficient systems with complex conjugate eigenvalues ComplexEigenPlot.nb 
§7.6: #2, 6 
Friday
February 9 
7.8  Repeated eigenvalues  §7.8: #1, 18 
Monday
February 12 
7.9  Nonhomogeneous Linear Systems  §7.9: # 1, 3, 15 
Wednesday
February 14 
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 
Thursday
February 15 4  6 pm, Room Silsby 028 
2nd Midterm 
2nd Midterm
Topics TBD 
Past exams 
Friday
February 16 
6.3  IVPs and Step functions  KA: Laplace/step function differential equation 
Sunday
February 18 
There will be a review on integration methods using partial fractions during tutorial.  
Monday
February 19 
6.4, 6.5  Discontinuous forcing functions, Impulse Functions  KA: The convolution integral 
Wednesday
February 21 
6.6  The convolution integral,  
Friday
February 23 
9.1  Phase Plane: Linear Systems  §9.1: # 1, 13 
Monday
February 26 
9.2  Autonomous Systems and Stability  §9.2: # 1, 3, 5 Plotting slope fields and trajectories 
Wedensday
February 28 
9.3 
Locally Linear Systems

§9.3: # 1, 3, 5

Friday
March 2 
Course Wrap Up 


Monday
March 5 
Course wrap up  
Tuesday
March 6 
Course instruction ends.  
Friday March 9 Room TBD 
3:00 pm 
Final
Exam topics TBD 
Past exams 