## Daily Schedule

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 first-order ODEs
DirectionFields2.nb
§1.3: #3, 5, 11
Part B:
§2.1: #16, 19
§2.1: #1, 9, 12
(Th) Sep 15
x-hour
Computing session
Mathematica, Maple, Matlab
(F) Sep 16 2.2, 2.4 Separable equations and existence-uniqueness 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
x-hour
2-by-2 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
x-hour
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
x-hour
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
x-hour
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
x-hour
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