The following is a tentative schedule for the course. Please check back regularly for updates as the term progresses.
Date  Sections in Text  Description  Homework  Practice Problems 

(M) Sep 12  1.1, 1.2 
What are differential equations? DirectionFields.nb 
Part A: §1.1: #7, 9, 12, 23 §1.2: #1, 5, 12 Hint: do (b) first 
§1.1: #1, 2, 26 §1.2: #1(a), 2(a) 
(W) Sep 14  1.3, 2.1 
Classification and linear firstorder ODEs DirectionFields2.nb 
§1.3: #3, 5, 11 Part B: §2.1: #16, 19 
§2.1: #1, 9, 12 
(Th) Sep 15 xhour 
Computing session Mathematica, Maple, Matlab 

(F) Sep 16  2.2, 2.4 
Separable equations and existenceuniqueness theorems DirectionFields3.nb 
§2.2: #6, 7, 22 §2.4: #4, 23 
§2.2: #9, 11 §2.4: #5, 11 
(M) Sep 19  2.3 
Modeling with differential equations MixingPlot.nb, WorksheetSlopeFields.nb 
Part A: §2.3: #2, 8, 13 
§2.3: Solve the IVPs in Examples 2 and 3 §2.3: #9, 10 
(W) Sep 21  2.5  Autonomous equations and population dynamics  Part B: §2.5: #7, 17, 24 
§2.5: #9, 23 Review multivariable chain rule 
(Th) Sep 22 xhour 
2by2 matrix review Worksheet 

(F) Sep 23  2.6 
Exact equations LastExamplePlot.nb HW 1 due 3:30pm 
Part A: §2.6: #16, 27, 28 
§2.6: #23, 26, 30 
(M) Sep 26  3.1, 3.2  Second order constant coefficient with distinct real roots; the Wronskian  Part A: §3.1: #12, 14, 22, 26 §3.2: #9, 10, 28, 38, 39 
§3.1: #2, 4 §3.2: #2, 4, 14 
(W) Sep 28  3.3 
Complex conjugate roots SolutionPlots.nb 
Part B: §3.3: #15, 19, 26 
§3.2: #25 §3.3: #8, 27 
(Th) Sep 29 xhour 
Exam 1 review Review packet, Solutions 

(F) Sep 30  3.4 
Repeated roots and reduction of order HW 2 due 3:30pm 
§3.4: #12, 15, 30  §3.4: #2, 16, 24 
(M) Oct 3  3.5  Method of undetermined coefficients 
Part A: §3.5: #2, 4, 17, 37 
§3.5: #5, 19 
(Tu) Oct 4  Exam 1: 4  6 pm Kemeny 008 
Review packet Solutions 
Past exams  
(W) Oct 5  3.6  Variation of parameters  §3.6: #8, 10 Part B: §3.6: #28, 32 
§3.6: #9, 13 
(F) Oct 7  3.7, 3.8  Modeling of vibrations Demos: 1, 2, 3, 4 ForcedVibrationsPlot.nb HW 3 due 3:30pm 
§3.7: #14, 28 §3.8: #6, 8 
§3.7: #19 §3.8: #17 
(M) Oct 10  7.2  Review of matrices, part 1 
Part A: §7.2: #9, 13, 18, 21, 25 

(W) Oct 12  4.1, 4.2  Order n homogeneous linear equations with constant coefficients 
§4.1: #9, 10, 16 Part B: §4.2: #13, 22, 37 
§4.1: #7, 8, 19(c) §4.2: #14, 17 
(F) Oct 14  4.3, 4.4 
Undetermined coefficients and variation of parameters for order n equations HW 4 due 3:30pm 
§4.3: #12, 15 §4.4: #3, 10 
§4.3: #2, 4 §4.4: #2 
(M) Oct 17  7.1, 7.3 
Review of matrices, part 2. Systems of ODEs. Demo 
Part A: §7.1: #5, 7, 23 §7.3: #20, 23, 33 
§7.1: #10, 14 §7.3: #17, 18 
(W) Oct 19  7.4  Existence and uniqueness of solutions of systems of ODEs  §7.4: #2, 6, 7  Make a list of topics to review for the exam 
(Th) Oct 20 xhour 
Exam 2 review Review packet, Solutions 

(F) Oct 21  7.5 
Constant coefficients systems with distinct real eigenvalues Example2Plots.nb, Example3Plots.nb, EigenManipulate.nb HW 5 due 3:30pm 
Part B: §7.5: #2, 4, 8, 18, 28, 29 
§7.5: #3, 12 
(M) Oct 24  7.6 
Constant coefficient systems with complex conjugate eigenvalues ComplexEigenPlot.nb 
Part A: §7.6: #3, 8, 13, 19, 28 
§7.6: #2, 6 
(Tu) Oct 25  Exam 2: 4:30  6:30 pm, Kemeny 008 
Review packet Solutions 
Past exams  
(W) Oct 26  7.8  Repeated eigenvalues  §7.8: #2, 4, 16  §7.8: #1, 18 
(Th) Oct 27 xhour 
5.1, 5.2  Power series review and solution near an ordinary point 
Part B: §5.1: #6, 8, 11, 16, 24 §5.2: #1, 7, 11, 17, 25 
§5.2: #10, 12, 20 
(F) Oct 28 
No class: Homecoming HW 6 due 3:30pm 

(M) Oct 31  5.3, 5.4 
Convergence of power series solutions; the Euler equation TaylorConvergencePlots.nb 
Part A: §5.3: #5, 8, 12, 14 Part B: §5.4: #1, 5, 14 
§5.3: #17 §5.4: #3, 8 
(W) Nov 2  10.1  Boundary value problems; eigenfunctions 
Part A: §10.1: #1, 3, 4, 11, 12, 14, 20 
§10.1: #5, 8 
(Th) Oct 27 xhour 
Computing session xhour2.nb 

(F) Nov 4  10.2 
Fourier series HW 7 due 3:30pm 
Part B: §10.2: #13, 16, 18, 21, 22 
§10.2: #14, 15 
(M) Nov 7  10.3, 10.4 
Fourier convergence theorem; even and odd functions FourierPlots.nb 
Part A: §10.3: #8, 10 §10.4: #21, 24a,b (not part c) 
§10.3: #11 §10.4: #17 
(W) Nov 9  10.5 
The heat equation HeatEqnPlot.nb 
Part B: §10.5: #1, 5 
§10.5: #7, 10 
(F) Nov 11  10.6 
Other heat conduction problems NonHomogHeatPlot.nb HW 8 due 3:30pm 
§10.6: #3, 8, 12a,b,d  §10.6: #11 
(M) Nov 14 
Review Review problems 

(Tu) Nov 15 
Last day of classes HW 9 due 3:30pm 

(F) Nov 18  Final Exam: 11:30 am, Kemeny 008  Review problems  Past exams 