## Daily Schedule

The following is a tentative schedule for the course. Please check back regularly for updates as the term progresses.

Day Date Sections in Text Description Practice Problems
1 (W) Jan 4 1.1, 1.2 What are differential equations?
DirectionFields.nb
§1.1: #1, 2, 26
§1.2: # 1(a), 2(a)
2 (F) Jan 6 1.3, 2.1 Classification and linear first-order ODEs
DirectionFields2.nb
§2.1: #1, 9, 12
3 (M) Jan 9 2.2, 2.4 Separable equations and existence-uniqueness theorems
DirectionFields3.nb
§2.2: #9, 11
§2.4: #5, 11
4 (W) Jan 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
5 (F) Jan 13 2.5 Autonomous equations and population dynamics §2.5: #9, 23
Review multivariable chain rule
6 sec1 (T) X-hour
sec2 (W) Jan 18
2.6 Exact equations
LastExamplePlot.nb
§2.6: #23, 26, 30, 31
7 sec1 (W) Jan 18
sec2 (Th) X-hour
3.1, 3.2 Second order constant coefficient with distinct real roots; the Wronskian §3.1: #2, 4
§3.2: #2, 4, 14
8 (F) Jan 20 3.3 Complex conjugate roots
SolutionPlots.nb
§3.2: #25
§3.3: #8, 27
9 (M) Jan 23 3.4 Repeated roots and reduction of order §3.4: #2, 16, 24
10 (W) Jan 25 3.5 Method of undetermined coefficients §3.5: #5, 19
11 (F) Jan 27 3.6 Variation of parameters §3.6: #9, 13
12 (M) Jan 30 3.7, 3.8 Modeling of vibrations
Demos: 1, 2, 3, 4
ForcedVibrationsPlot.nb
§3.7: #19
§3.8: #17
13 (W) Feb 1 7.2 Review of matrices, part 1
14 (F) Feb 3 4.1, 4.2 Order n homogeneous linear equations with constant coefficients §4.1: #7, 8, 19(c)
§4.2: #14, 17
15 (M) Feb 6 4.3, 4.4 Undetermined coefficients and variation of parameters for order n equations §4.3: #2, 4
§4.4: #2
(W) Feb 8 Midterm: covers 1.1-4.2 Past exams
Practice Problems
Mid-Term Solutions
16 (W) Feb 8 7.1, 7.3 Review of matrices, part 2. Systems of ODEs.
Demo
§7.1: #10, 14
§7.3: #17, 18
17 (F) Feb 10 7.4 Existence and uniqueness of solutions of systems of ODEs
18 (M) Feb 13 7.5 Constant coefficients systems with distinct real eigenvalues
Example2Plots.nb, Example3Plots.nb, EigenManipulate.nb
§7.5: #3, 12
19 (W) Feb 15 7.6 Constant coefficient systems with complex conjugate eigenvalues
ComplexEigenPlot.nb
§7.6: #2, 6
20 (F) Feb 17 7.8 Repeated eigenvalues §7.8: #1, 18
21 (M) Feb 20 5.1, 5.2 Power series review and solution near an ordinary point
Some frequently seen Taylor series
§5.2: #10, 12, 20
22 (W) Feb 22 5.3, 5.4 Convergence of power series solutions; the Euler equation
TaylorConvergencePlots.nb
§5.3: #17
§5.4: #3, 8
23 (F) Feb 24 10.1 Boundary value problems; eigenfunctions §10.1: #5, 8
24 (M) Feb 27 10.2 Fourier series §10.2: #14, 15
25 (W) Mar 1 10.3 Fourier convergence theorem
FourierPlots.nb
§10.3: #11
26 (F) Mar 3 10.4 Even and odd functions §10.4: #17
27 (M) Mar 6 10.5 The heat equation
HeatEqnPlot.nb
§10.5: #7, 10
28 (W) Mar 8 Wrap up
(Sat) Mar 11 Final Exam: comprehensive Past exams
Practice Problems