Kevin Milans : Teaching : Fall 2014 Math261

Kevin Milans (milans@math.wvu.edu)
Office: Armstrong Hall 408H
Office Hours: MW 1:30pm-2:30pm, Tues 11:30am-12:30pm, and by appointment
Class Meetings: MTWF 10:30am-11:20am in Hodges Hall 309
Texts: Elementary Differential Equations and Boundary Value Problems, Tenth Edition, by W.E. Boyce and R.C. DiPrima; Linear Algebra Notes by J. Moseley.
Home | Course Syllabus (PDF) | Homework (via WileyPLUS)

Course Schedule

No. Date Class Summary Section(s) Doc Soln Comments
1 Aug 18 Introduction; Simple model of a falling object 1.1 - - HW1 available; due Wed. Aug 27
2 Aug 19 Direction fields; simple population model 1.1 pdf pdf WS0 in class
3 Aug 20 Solving an equation 1.1 - - -
4 Aug 22 Solving dy/dt = ay - b 1.2 pdf pdf -
5 Aug 25 Classification of Diff. Eqs 1.3 - - -
6 Aug 26 Integrating Factors 2.1 pdf pdf WS1 in class
7 Aug 27 Integrating Factors; Seperable Equations 2.1, 2.2 - - -
8 Aug 29 Seperable Equations with Initial Conditions 2.2 pdf pdf Quiz 1: 1.1-1.3, 2.1; HW2 available
9 Sep 2 Interval of Validity; Homogeneous Eqns 2.2 pdf pdf WS2 in class
10 Sep 3 Review; More Homogeneous Eqns 2.2 - - HW2 due
11 Sep 5 Existence and uniqueness theorems 2.4 pdf pdf Quiz 2: 2.2; HW3 available
12 Sep 8 Existence and uniqueness II; Bernoulli Equations 2.4 - - -
13 Sep 9 Bernoulli Equations 2.4 pdf pdf WS3 in class
14 Sep 10 Autonomous Equations and Population Dynamics 2.5 - - HW3 due
15 Sep 12 Review for Test 1 - - - 1.1-1.3, 2.1, 2.2, 2.4
16 Sep 15 Test 1: 1.1-1.3, 2.1, 2.2, 2.4 - pdf pdf HW4 assigned.
17 Sep 16 Exact Equations 2.6 pdf pdf WS4 in class
18 Sep 17 Exact Equations and Integrating Factors 2.6 - - HW4 due Thurs (auto-extn. to Fri)
19 Sep 19 Euler's method 2.7 pdf pdf Quiz 4 in class; HW5 assigned
20 Sep 22 Complex Numbers - - - -
21 Sep 23 Homogeneous second-order eqns with const. coeff. 3.1 pdf pdf WS5 in class
22 Sep 24 Complex roots of the char. eqn; Matrices and determinants 3.3 - - -
23 Sep 26 Superposition proof; the Wronskian 3.2 pdf pdf Quiz 5 in class; HW6 assigned
24 Sep 29 Repeated Roots 3.4 - - -
25 Sep 30 Reduction of Order 3.4 pdf pdf WS6 in class
26 Oct 1 Higher order homogeneous eqns 4.2 - - -
27 Oct 3 Higher order homogeneous eqns II 4.2 pdf pdf Quiz 6 in class; HW7 assigned
28 Oct 6 Non-homogeneous equations: Undetermined Coeffs. 3.5 - - -
28 Oct 7 Non-homogeneous equations: Undetermined Coeffs. II 3.5 pdf pdf WS7 in class
30 Oct 8 Non-homogeneous equations: Variation of Params. 3.6 - - -
31 Oct 10 Spring Vibrations 3.7 pdf pdf Quiz 7 in class
32 Oct 15 Spring Vibrations II 3.7 - - Informal feedback in class
33 Oct 17 Review for Test 2: 2.5-2.7, 3.1-3.6, 4.2 - - - -
34 Oct 20 Test 2: 2.5-2.7, 3.1-3.6, 4.2 - pdf pdf HW8 assigned.
35 Oct 21 Spring Mass Systems 3.7 - - -
36 Oct 22 Spring Mass Systems: Example 3.7 pdf pdf WS8 in class
37 Oct 24 Forced Vibrations: Example 3.8 pdf pdf Quiz 8 in class; HW9 assigned
38 Oct 27 Forced Vibrations: Resonance 3.8 - - -
39 Oct 28 Forced Vibrations; Laplace Transform 3.8, 6.1 pdf pdf WS9 in class
40 Oct 29 Laplace Transform 6.1 - - -
41 Oct 31 Laplace Transform 6.2 pdf pdf Quiz 9 in class; HW10 assigned
42 Nov 3 Inverse Laplace Transform 6.2 - - -
43 Nov 5 Laplace Transform: Step Functions 6.3 pdf pdf WS10 in class
44 Nov 7 IVPs with Discontinuous Forcing Functions 6.3,6.4 pdf pdf Quiz 10 in class; HW11 assigned
45 Nov 10 Discontinuous Forcing Functions 6.4 - - -
46 Nov 11 Class canceled - - - -
47 Nov 12 Systems of Diff Eqn. 6.4,7.1 pdf pdf HW11 extension until Monday
48 Nov 14 Review: Test 3 - - - -
49 Nov 17 Test 3 - pdf pdf -
50 Nov 18 Gauss--Jordan Elimination, Matrices 7.2,7.3 - - -
51 Nov 19 Matrix operations: addition, multiplication, complex conjugation 7.2,7.3 pdf pdf -
52 Nov 21 Eigenvectors and Eigenvalues 7.3 - - -
53 Dec 1 Systems of Diff. Equations I 7.5 - - HW13 assigned
54 Dec 2 Systems of Diff. Equations II 7.5 pdf pdf WS13 available.
55 Dec 3 Systems of Diff. Equations III 7.5 - - WS13 in class.
56 Dec 5 Complex Eigenvalues I 7.6 pdf pdf Quiz 13 in class
57 Dec 8 Repeated Eigenvalues 7.8 - - -
58 Dec 9 Review Day - pdf pdf WS14 available.
- Dec 15 Final Exam: Mon. Dec 15, 11am-1pm. - - - -
milans@math.wvu.edu