## Fall 2008 Math 343

# What, When, and Where:

### Course Description:

Elementary Linear Algebra. See course Minimal Learning Outcomes.

### Text:

Leon, S., Linear Algebra with Applications, 7th Edition

### Lectures:

MWF 11:00-11:50 C215 ESC

### Teaching Assistants:

Blake Barker (Moodle) math343ta@gmail.com

Brent Kerby bkerby@math.byu.edu

### Office Hours:

MWF 09:00-09:50a 306 TMCB (Humpherys)

Daily 02:00-02:50p Math Lab (Kerby)

TuTh 05:00-07:30p Math Lab (Barker)

Other help available at the Math Lab (website)

### Grading Scheme:

Exams are proctored in the testing center.

10% Reading Quizzes (online)

20% Homework Assignments (see schedule below)

15% Exam I (Sep 26 through Sept 30 at 1:00pm)

15% Exam II (Oct 24 through Oct 28 at 1:00pm)

15% Exam III (Nov 14 through Nov 18 at 1:00pm)

25% Exam IV (Final's Week)

### Instructions for Moodle:

- Go to http://mathcourses.byu.edu
- Log in using Route Y username and password.
- Click on the link "Math 343 Section 3 Fall 07 (MWF 11:00, Humpherys)"
- Type in the enrollment key: sassy

# Course Schedule: (subject to change)

Part I

Sep 03 Introduction, Linear Systems

Sep 05 Linear Systems (Section 1.1)

Sep 08 Row Echelon Form (Section 1.2)

Sep 10 Applications (Section 1.2 applications)

Sep 12 Matrix Algebra (Section 1.3)

Sep 15 Applications (Section 1.3 applications)

Sep 17 Elementary Matrices (Section 1.4)

Sep 19 Partitioned Matrices (Section 1.5)

Sep 22 Determinants I (Section 2.1)

Sep 24 Determinants II (Section 2.2)

Sep 26 Cramer's Rule (Section 2.3)

Part II

Sep 29 Vector Spaces (Section 3.1)

Oct 01 Subspaces (Section 3.2, first half)

Oct 03 Spans (Section 3.2, second half)

Oct 06 Linear Independence (Section 3.3)

Oct 08 Basis and Dimension (Section 3.4)

Oct 10 Change of Basis (Section 3.5)

Oct 12 Row and Column Space (Section 3.6)

Oct 15 Linear Transformations (Section 4.1)

Oct 17 Matrix Representations I (Section 4.2, first half)

Oct 20 Matrix Representations II (Section 4.2, second half)

Oct 22 Similarity (Section 4.3)

Oct 23 Review Session: 5:30 PM - 7:00 PM JFSB B002

Part III

Oct 24 Inner Products I (Section 5.1)

Oct 27 Inner Products II (Section 5.4)

Oct 29 Inner Products III (Section 5.4)

Oct 31 Orthogonal Subspaces I (Section 5.2)

Nov 03 Orthogonal Subspaces II (Section 5.5, first half)

Nov 05 Least Squares I (Section 5.3)

Nov 07 Least Squares II (Sections 5.3 and 5.5, second half)

Nov 10 Gram Schmidt (Section 5.6)

Nov 12 Orthogonal Polynomials (Section 5.7)

Part IV

Nov 14 Eigenvalues and Eigenvectors (Section 6.1)

Nov 17 Diagonalization (Section 6.3, first half)

Nov 19 Pep talk, Diagonalization (Section 6.3, second half)

Nov 21 Schur's Lemma (Section 6.4, first half)

Nov 24 Spectral Theorem (Section 6.4, second half)

Dec 01 Positive Definite Matrices (Section 6.7)

Dec 03 Quadratic Forms (Section 6.6)

Dec 05 SVD I (Section 6.5, first half)

Dec 08 SVD II (Section 6.5, second half)

Dec 10 Review

# Assignments:

### Reading Quizzes:

A short online quiz over each day's reading is due before class. Reading assignments are given in the Course Schedule above.

Log on to Moodle to take Online Quizzes

### Homework Assignments:

Section 1.1: 1-7,9-11

Section 1.2: 1-3,5-11

Section 1.2: 13,17,19,20

Section 1.3: 1-4,9,10,12-18,20-23,25-29

Section 1.3: 31-33

Section 1.4: 1,2,5,7-10,13-16,18,19,21,22

Section 1.5: 1-3,5-7,9-12,16,19,20

Section 2.1: 1-9,11,12

Section 2.2: 1-7,10,11,13,14,16

Section 2.3: 1,2,5,6,8,10-12,14

Section 3.1: 3-13,15

Section 3.2: 1-8 (except 5a)

Section 3.2: 9-11,13,14,18-20

Section 3.3: 1-7,10,11,13-17

Section 3.4: 2-5,7,11,13,14,17,18

Section 3.5: 1-11

Section 3.6: 1,4,7,8,11,16,19,21; 3 on pg. 173

Section 4.1: 1,3,5-11,13,14,16-21

Section 4.2: 2-6,8

Section 4.2: 10,11,13,15,16,19,20

Section 4.3: 2,4-7,11,12,14,15

Section 5.1: 1-4,8,11-16

Section 5.2: 1-4,8,9,12,15

Section 5.3: 1-6,9-13

Section 5.4: 1-8,10-16

Section 5.4: 19-21,23-28

Section 5.5: 1-4,6,8

Section 5.5: 11,14-17,19,21-25,27,28

Section 5.6: 1-5,8,9,11,13

Section 5.7: No assignment.

Section 6.1: 1,3,4,9-11,13,18,22

Section 6.3: 1-5

Section 6.3: 7,8,17,18

Section 6.4: 1-10

Section 6.4: 12,13,17,19,22

Section 6.5: 1-7

Section 6.6: 1,3,6,8-10

Section 6.7: 1,6,9,12

### Webwork Assignments:

Webwork assignments have been discontinued due to technical difficulties.

### Extra Credit Computer Labs:

Lab #1 Intro Matlab, RREF, Matrix Mult

Lab #2 Applications, Markov Chains

Lab #3 Spatial and Temporal Complexity

Lab #4 Sparse Matrices

Lab #5 Integration by Parts

Lab #6 Correlation

Lab #7 Line and Curve Fitting

Lab #8 Eigenvalues

Lab #9 Singular Value Decomposition