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Fall 2007 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

Cover of "Linear Alegbra with Applications" by Leon

Lectures:

MWF 11:00-11:50 2107 JKB

Teaching Assistants:

Jeremy West
236 TMCB
422-7787
byu.math.343.ta@gmail.com

Amanda Ellis
318 TMCB

Tom Roderick (Labs Only)
byu.math.343.lab.ta@gmail.com

Office Hours:

MWF 10:00-10:50 306 TMCB (Humpherys)
MWF 10:00-10:50 318 TMCB (Ellis)
MWF 12:00-12:50 Math Lab (Ellis)
M 04:00-04:50 236 TMCB (West)
F 02:00-02:50 236 TMCB (West)

Computer Lab Help Only
TuTh 04:00-05:50 149 TMCB (Roderick)

Grading Scheme:

Exams and weekly quizzes are proctored in the testing center.

15% Exam I (Sep 28-Oct 02)
15% Exam II (Oct 26-Oct 30)
15% Exam III (Nov 16-Nov 27)
15% Exam IV (Final Exam)
20% Weekly Quizzes (see schedule below)
10% Computer Labs (see schedule below)
10% Daily Quizzes (online)

Additional Resources for Help:

The Math Lab (website)
Online Forum in Moodle

Instructions for Moodle:

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

Course Schedule: (subject to change)

Part I

Sep 05 Introduction, Linear Systems
Sep 07 Linear Systems (Section 1.1)
Sep 10 Row Echelon Form (Section 1.2)
Sep 12 Applications (Section 1.2 applications)
Sep 14 Matrix Algebra (Section 1.3)
Sep 17 Applications (Section 1.3 applications)
Sep 19 Elementary Matrices (Section 1.4)
Sep 21 Partitioned Matrices (Section 1.5)
Sep 24 Determinants I (Section 2.1)
Sep 26 Determinants II (Section 2.2)
Sep 28 Cramer's Rule (Section 2.3)

Part II

Oct 01 Vector Spaces (Section 3.1)
Oct 03 Subspaces (Section 3.2, first half)
Oct 05 Spans (Section 3.2, second half)
Oct 08 Linear Independence (Section 3.3)
Oct 10 Basis and Dimension (Section 3.4)
Oct 12 Change of Basis (Section 3.5)
Oct 15 Row and Column Space (Section 3.6)
Oct 17 Linear Transformations (Section 4.1)
Oct 19 Matrix Representations I (Section 4.2, first half)
Oct 22 Matrix Representations II (Section 4.2, second half)
Oct 24 Similarity (Section 4.3)

Part III

Oct 26 Inner Products I (Section 5.1)
Oct 29 Inner Products II (Section 5.4)
Oct 31 Review
Nov 02 Orthogonal Subspaces I (Section 5.2)
Nov 05 Orthogonal Subspaces II (Section 5.5, first half)
Nov 07 Least Squares I (Section 5.3)
Nov 09 Least Squares II (Sections 5.3 and 5.5, second half)
Nov 12 Gram Schmidt (Section 5.6)
Nov 14 Orthogonal Polynomials (Section 5.7)

Part IV

Nov 16 Eigenvalues and Eigenvectors (Section 6.1)
Nov 19 Diagonalization (Section 6.3)
Nov 26 Schur's Lemma (Section 6.4, first half)
Nov 28 Spectral Theorem (Section 6.4, second half)
Nov 30 Positive Definite Matrices (Section 6.7)
Dec 03 Quadratic Forms (Section 6.6)
Dec 05 SVD I (Section 6.5, first half)
Dec 07 SVD II (Section 6.5, second half)
Dec 10 Applications (handout)
Dec 12 Review

Assignments:

Homework Problems:

Section 1.1: 1-7,9-11
Section 1.2: 1-3,5-11,13,17,19,20
Section 1.3: 1-4,9,10,12-18,20-23,25-29,31-33
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: 1-11,13,14,18-20
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: 2-6,8,10,11,13,15,16,19,20
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: 1-8,10-16,19-21,23-28
Section 5.5: 1-4,6,8,11,14-17,19,21-25,27,28
Section 5.6: 1-5,8,9,11,13

Section 6.1: 1,3,4,9-11,13,18,22
Section 6.3: 1-5,7,8,17,18
Section 6.4: 1-10,12,13,17,19,22
Section 6.5: 1-7
Section 6.6: 1,3,6,8-10
Section 6.7: 1,6,9,12

Weekly Quizzes:

Sep 07-Sep 11: Quiz #1
Sep 14-Sep 18: Quiz #2
Sep 21-Sep 25: Quiz #3
Oct 05-Oct 09: Quiz #4
Oct 12-Oct 16: Quiz #5
Oct 19-Oct 23: Quiz #6
Nov 02-Nov 06: Quiz #7
Nov 09-Nov 13: Quiz #8
Nov 30-Dec 04: Quiz #9
Dec 07-Dec 11: Quiz #10

Daily 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

Computer Labs:

Hand in labs in class, office hours, or email to:
byu.math.343.lab.ta@gmail.com

Due Dates:

Sep 13 Lab #1 Intro Matlab, RREF, Matrix Mult
Sep 25 Lab #2 Applications, Markov Chains
Oct 04 Lab #3 Spatial and Temporal Complexity
Oct 16 Lab #4 Sparse Matrices
Oct 25 Lab #5 Integration by Parts
Nov 06 Lab #6 Correlation
Nov 15 Lab #7 Line and Curve Fitting
Nov 29 Lab #8 Eigenvalues
Dec 11 Lab #9 Singular Value Decomposition
Dec 15 Lab #10 Mystery Lab