Kevin Milans : Teaching : Fall 2018 Math261: Elementary Differential Equations

Kevin Milans (milans@math.wvu.edu)
Office: Armstrong Hall 408H
Office Hours: MW 2:30pm-3:20pm, Thurs 11:30am-12:30pm, and by appointment
Class Meetings: MTWF 1:30pm-2:20pm in Armstrong Hall 121
Home | Course Syllabus (PDF) | Additional Resources | Homework

Course Schedule

No. Date Class Summary Sections(s) Quiz/Workshop Solution Comments
1 Aug 15 Introduction; falling object: gravity and drag 1.1 - - HW1 assigned.
2 Aug 17 Solving a differential equation 1.2 Q0 Q0-Soln Quiz 0 (on prerequisite material) in class.
3 Aug 20 Solving a diff. eq. II 1.2 WS1 WS1-Soln Worksheet 1
4 Aug 21 Classifing diff. eq.; Linear ODEs, order 1 1.3,2.1 - - HW1 due; HW2 assigned.
5 Aug 22 Integration Factors 2.1 Q1 Q1-soln Quiz 1 in class.
6 Aug 24 Separable Eqns 2.2 - - -
7 Aug 27 Separable Eqns; Homogeneous Eqns 2.2 WS2 WS2-Soln Worksheet 2
8 Aug 28 Modeling First Order Diff Eqns 2.3 - - HW2 due; HW3 assigned.
9 Aug 29 Existence and Uniqueness Theorems 2.4 Q2 Q2-soln Quiz 2 in class.
10 Aug 31 Existence and Uniqueness, II 2.4 - - -
11 Sep 4 Bernoulli Eqns; Automonmous Eqns 2.4,2.5 WS3 WS3-Soln Worksheet 3 in class.
12 Sep 5 Logistic Equation 2.5 Q3 Q3-soln HW3 due. Quiz 3 in class. HW4 assigned.
13 Sep 7 Exact Equations 2.6 - - -
14 Sep 10 Exact Equations II 2.6 WS4 WS4-Soln Worksheet 4 in class.
15 Sep 11 Test 1 Review; Complex Numbers - - - HW 4 due.
16 Sep 12 Test 1: 1.1--1.3, 2.1--2.6 - T1 T1-soln -
17 Sep 14 Numerical Approximations; Complex Numbers 2.7, 3.3 - - HW5 assigned.
18 Sep 17 Complex Numbers; Second Order Homogeneous Equations 3.1,3.3 WS5 WS5-soln Worksheet 5 in class.
19 Sep 18 Solutions of Linear Homogeneous Eqns, real and complex roots 3.1,3.3 - - HW 5 due.
20 Sep 19 Wronskian 3.2 Q5 Q5-soln Quiz 5 in class.
21 Sep 21 Complex conjugate roots, repeated roots 3.3,3.4 - - HW6 assigned.
22 Sep 24 Reduction of order 3.4 WS6 WS6-soln Worksheet 6 in class.
23 Sep 25 Higher order linear eqns. with constant coefficients 4.2 - - HW 6 due. HW7 assigned.
24 Sep 26 Higher order eqns, II 3.5 Q6 Q6-soln Quiz 6 in class.
25 Sep 28 Non-homogeneous eqns: Method of Undetermined Coefficients I 3.5 - - -
26 Oct 1 Non-homogeneous eqns: Method of Undetermined Coefficients II 3.5 WS7 WS7-soln Worksheet 7 in class.
27 Oct 2 Non-homogeneous eqns: Variation of Parameters I 3.6 - - HW 7 due.
28 Oct 3 Non-homogeneous eqns: Variation of Parameters II 3.6 Q7 Q7-soln Quiz 7 in class. HW8 assigned.
29 Oct 5 Application: mass on a spring 3.7 - - -
30 Oct 8 Mass on a spring: free motion 3.7 WS8 WS8-soln Worksheet 8 in class.
31 Oct 9 Mass on a spring: external forces; review Test 2 3.8 - - HW 8 due.
32 Oct 10 Test 2: 2.7, 3.1--3.7, 4.2 - T2 T2-soln HW9 assigned.
- Oct 12 Fall Break: no class - - - -
33 Oct 15 Mass on spring: forced vibration II 3.8 WS9 WS9-soln Worksheet 9 in class.
34 Oct 16 Mass on spring: undamped forced vibration; Laplace transform 3.8,6.1 - - HW 9 due.
35 Oct 17 Laplace transform II 6.1 Q9 Q9-soln HW10 assigned.
36 Oct 19 Laplace transform and IVPs 6.2 - - -
37 Oct 22 Laplace and IVPs; Inverting the Laplace Transform 6.2 WS10 WS10-soln Worksheet 10 in class.
38 Oct 23 Laplace and Step Functions 6.3 - - HW 10 due.
39 Oct 24 Piecewise continuous forcing functions 6.4 Q10 Q10-soln HW11 assigned.
40 Oct 26 Piecewise continuous forcing; Matrix Systems I 6.4, 7.2 - - -
41 Oct 29 Matrix Systems II 7.2 WS11 WS11-soln Worksheet 11 in class.
42 Oct 30 Eigenvalue/Eigenvector pairs 7.3 - - -
43 Oct 31 Eigenvalue/Eigenvectors II; Systems of Diff Eqns 7.3,7.5 Q11 Q11-soln HW11 due.
44 Nov 2 Systems of Diff Eqns II 7.5 - - HW12 assigned.
45 Nov 5 Systems of Diff Eqns III 7.5 WS12 WS12-soln Worksheet 12 in class.
- Nov 6 Election Day: No Class - - - -
46 Nov 7 Systems of Diff Eqns IV 7.5 Q12 Q12-soln HW12 due
47 Nov 9 Skills: Complex Numbers; Review Test 3 7.6 - - -
48 Nov 12 Test 3: 3.8, 6.1-6.4, 7.2, 7.3, 7.5 - T3 T3-soln -
49 Nov 13 Complex Eigenvalues 7.6 - - -
50 Nov 14 Repeated Eigenvalues; application 7.8 - - HW13 assigned.
51 Nov 16 Application: multiple spring/mass system; Fourier Series I 7.6, 10.2 - - -
52 Nov 26 Fourier Series II 10.2 WS13 WS13-soln Worksheet 13 in class.
53 Nov 27 Fourier Series: Even and Odd Functions 10.4 - - HW13 due.
54 Nov 28 Heat Conduction I 10.5 Q13 Q13-soln HW14 assigned.
55 Nov 30 Heat Conduction II: Separation of Variables 10.5 - - -
56 Dec 3 Heat Conduction III 10.5 - -
57 Dec 4 Worksheet 14 in class - WS14 WS14-soln -
58 Dec 5 Review Final Exam - - - HW14 due.
- Dec 11 Final Exam: Tues. December 11, 2018: 11:00am to 1:00pm. - - - -
milans@math.wvu.edu