Kevin Milans : Teaching : Fall 2022 Math343

Kevin Milans (milans@math.wvu.edu)
Office: Armstrong Hall 408H
Office Hours: MW 3:10pm-4:00pm, Th 12:00pm-1:00pm and by appointment
Class Meetings: MWF 11:30am-12:20pm in Hodges Hall
Home | Course Syllabus (PDF) | Homework

Course Schedule

No. Date Class Summary Section(s) Quiz Quiz Soln Comments
1 Aug 17 Introduction; Linear Systems 1.1 - - HW1 assigned.
2 Aug 19 Elementary Row Operations 1.1 - - -
3 Aug 22 Row Reduction, Echelon Forms 1.1,1.2 - - -
4 Aug 24 Row Reduction Algorithm 1.2 - - HW2 posted.
5 Aug 26 Solutions to Linear Systems 1.2 quiz1.pdf quiz1-soln.pdf Quiz 1 in class.
6 Aug 29 Vector Equations 1.3 - - -
7 Aug 31 Linear combinations; span; matrix equations 1.3,1.4 - - HW2 due. HW3 posted.
8 Sep 2 A challenge problem: recovering vertex weights from edge weights - quiz2.pdf quiz2-soln.pdf Quiz 2 in class.
- Sep 5 Labor Day: no class - - - -
9 Sep 7 Algebraic properties; homogeneous systems 1.4,1.5 - - HW3 due. HW4 posted.
10 Sep 9 Parametric forms; nonhomogeneous systems 1.5 quiz3.pdf quiz3-soln.pdf Quiz 3 in class.
11 Sep 12 Nonhomogeneous systems; applications 1.5,1.6 - - -
12 Sep 14 Applications; linear independence defn 1.6,1.7 - - HW4 due.
13 Sep 16 Test 1: 1.1 through 1.5; Lectures 1 - 11 - test1.pdf test1-soln.pdf -
14 Sep 19 Linear independence; one or two vectors 1.7 - - -
15 Sep 21 Transformations 1.8 - - HW5 due Sep 22.
16 Sep 23 Matrix transformations; geometric interpretation 1.8 quiz5.pdf quiz5-soln.pdf Quiz 5 in class. HW6 posted.
17 Sep 26 Linear transformations; standard matrix of a linear transform; rotation 1.8,1.9 - - -
18 Sep 28 Onto and one-to-one linear transformations; population dynamics 1.9,1.10 - - HW6 due. HW7 posted.
19 Sep 30 Matrix operations 2.1 quiz6.pdf quiz6-soln.pdf Quiz 6 in class.
20 Oct 3 Matrix multiplication 2.1 - - -
21 Oct 5 Matrix inverses; elementary matrices 2.2 - - HW7 due. HW8 posted.
22 Oct 10 Characterizations of invertible matrices 2.3 - - -
23 Oct 12 Subspaces 2.8 - - -
24 Oct 14 Subspaces: null space, bases - quiz8.pdf quiz8-soln.pdf HW8 due. Quiz 8 in class.
25 Oct 17 Finding bases; Dimension and rank 2.8,2.9 - - -
26 Oct 19 Rank Theorem, Basis Theorem, Determinants 2.9,3.1 - - -
27 Oct 21 Test 2: 1.6-1.10, 2.1-2.3, 2.8 - test2.pdf test2-soln.pdf Test 2 in class.
28 Oct 24 Determinants, cont 3.1,3.2 - - HW9 posted.
29 Oct 26 Eigenvalues and Eigenvectors 5.1 - - HW10 posted.
30 Oct 28 Eigenvalue theorems 5.1,5.2 quiz9.pdf quiz9-soln.pdf HW9 due.
31 Oct 31 The characteristic equation 5.2 -
32 Nov 2 Similar matrices; population dynamics revisited 5.2 - - HW11 posted.
33 Nov 4 Diagonalization 5.3 quiz10.pdf quiz10-soln.pdf Quiz 10 in class today.
34 Nov 7 Iterative estimates: the power method 5.8 - - -
35 Nov 9 Power method; Markov chains 5.8,5.9 - - HW11 due.
36 Nov 11 Markov chains II 5.9 quiz11.pdf quiz11-soln.pdf Quiz 11 in class. HW12 posted.
37 Nov 14 Length and Orthogonality 6.1 - - -
38 Nov 16 Orthogonal subspaces 6.1 - - HW12 due.
39 Nov 18 Test 3: 2.9, 3.1,3.2, 5.1-5.3,5.8,5.9, 6.1 - test3.pdf test3-soln.pdf -
40 Nov 28 Orthogonal bases; orthogonal projections 6.2,6.3 - - HW13 posted.
41 Nov 30 Best approximation theorem 6.3 - - -
42 Dec 2 Gram-Schmidt process 6.4 - - HW13 due.
43 Dec 5 Least-squares solutions 6.5 quiz13.pdf quiz13-soln.pdf Quiz 13 in class.
44 Dec 7 Review class; ? - - - -
- Dec 15 Final Exam: Thurs Dec 15, 11:00am-1:00pm - - - -
milans@math.wvu.edu