Martin Flashman's Courses
Math 241 Elements of Linear Algebra
Spring, '07
MWF 10:00- 10:50 SH 128


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Last updated: 1/15/2007

Assignments and recommended problems: Spring 2007
Tentative until a Due Date is designated.
*Early or Just in time:
When two due dates are given,
the first date is for preparation and/or starting problems,
the second date is for completion of problem work
.

HW #

Due Date

Read Section

Assigned Problems

Additional Suggested Problems

HW #1


1-22/24

A Note to Students
§1.1

p. 11-12

#1, 4, 7, 10, 13, 14, 15, 20, 24

#2, 3, 8, 9, 11, 12, 16-19, 21-23

HW #2
1/26

§1.2
Check out
Row operation calculator,
 
Transforming a matrix to reduced row echelon form, and Solving a linear system of equations

p. 25-27

#1, 2, 8, 12, 13, 16, 21, 24, 25

#4, 7, 9-11, 14-15, 20, 22, 23

HW #3
1/29*31

§1.3

p. 37-39

#1, 5, 8, 10, 11, 14, 17, 20, 27

#2-4, 6, 7, 9, 12, 13, 15, 16, 18, 19, 21-26

HW #4
1/31* 2/2

§1.4 Study Guide 

p. 47-49

#1, 6, 7, 10, 12, 14, 19, 22, 23

#2-5, 8, 9, 11, 13, 15-18, 20, 21, 24-26

HW #5
2/5*2/7

§1.5  Study Guide

p. 55-56

#2, 3, 6, 9, 12, 14, 15, 18, 24

#1, 4, 5, 7, 8, 10, 11, 13, 16, 17, 19, 20-23, 33, 34

HW #6
2/7*2/9

§1.6  Study Guide

p. 63-64

#1, 4, 5, 7, 8, 11, 12, 14
[Note for 3rd edition: Correction for Problem 11 - made in the updated version: 80 -->C instead of   80 <---C.

#2, 3, 13

HW #7
2/9*2/12

§1.7  studyGuide

p. 71-72

#2, 5, 8, 10, 13, 16, 18, 21, 28, 33

#1, 3, 4, 6, 7, 9, 11, 12, 14, 15, 17, 19, 20, 22-27, 34-38

HW #8
2/14/*16
 §1.8  StudyGuide    p. 79-81   #2, 3, 6, 10, 11, 17, 18, 20, 21, 34  
   # 1, 4, 5, 9, 12-16, 19, 22
HW #9
2/19*21

§1.9  StudyGuide 

p. 90-91

#1, 2, 4, 5, 10, 11, 17, 24, 35
Submit in writing:1.8 #34

#3, 6-9, 13-16, 18-23, 31, 32

HW #10
2/23*26

§2.1

p. 116-117

#2, 3, 5, 7, 10, 12, 16, 17, 22, 27

#1, 4, 6, 8, 9, 11, 13, 15, 28   

  HW #11
2/26*28
 §2.2 and start 2.3  p. 126-127  #4, 7, 11, 14, 18, 19, 22, 24, 31, 35   #1-3, 5, 6, 8-10, 13, 15-17, 20, 21, 23, 29, 30, 32
HW #12
3/5

§2.3

p. 132-133

# 3, 7, 8, 11, 14, 15, 16, 19, 27

#1, 2, 4-7, 12, 13, 17, 18

HW #12.5
3/7
§1.10 pp97-99
Study Guide
p. 101 #9, 11, 12 On-Line Markov System Material
HW # 13
3/9*19
§2.8
p. 173-175 #2, 3, 5, 6, 7, 10, 18, 21, 25 #1, 4, 8, 9, 11-17, 19, 20, 22-24, 26
HW #13.5
3/19 §1.10 pp93-96 p99
#1, 2, 4, 5, 8, 3, 6, 7, 10
HW #14
3/19*21

§2.9

p. 180-182

#1, 4, 6, 8, 9, 12, 14, 18, 19

#2, 3, 5, 10, 11, 13, 17

HW #15 3/23 §3.1   p. 190-191 #1, 4, 8, 9, 11, 17, 37, 38 #2, 3, 5-7, 10, 12-16, 18-30, 39, 40
HW #16
3/26*28

§3.2

p. 199-200

#5, 7, 10, 12, 18, 19, 23, 26, 29, 34

#1-4, 6, 8, 9, 11, 13-17, 20-22, 24, 25, 27, 28, 31-33, 35, 36

HW #17 3/28*30! §3.3
Determinant
summary
Proof ot Thrm 6 on BB
p. 209-210 #2, 5, 8, 19, 24, 25, 28, 29 #1, 3, 4, 6, 7, 9, 10, 20-23, 27, 30
HW #18 4/4 §4.1
More v.s. examples on BB
p. 223-225 #2, 3, 5, 6, 8, 10, 11, 19, 20, 21, 24, 32 #1, 4, 7, 9, 12-18, 22, 23, 33
HW #19
4/4*6*9
§4.2
especially pp 232-234
p.   234-236  # 7-9, 25,31, 34 #35, 36
HW #20
4/11
§4.3 p. 342- 345 # 22, 25, 26, 31,33,37 #32
HW #21
4/13*16
§5.1 p. 308-309 #1, 4, 8, 10, 13, 22, 25, 26, 27 #2, 3, 5-9, 11, 12, 14-21, 23, 24
HW #22
4/18
§5.2

p. 317-318
#2, 3, 9, 11, 16, 21, 23, 24 #1, 4-8, 10, 12-15, 17, 19, 20, 22
HW # 23
4/20*23
§5.3 , Optional 5.4
p. 325-326 #1, 4, 7, 12, 18, 22, 27, 33 #2, 3, 5, 6, 8-11, 13-17, 19-21
HW #24
4/25
§6.1 p. 382-383 #1, 4, 5, 8, 10, 13, 15, 18, 19
Submit in writing #24
#2, 3, 5-7, 9, 11, 12, 14, 16, 17, 20, 22
HW #25
4/27*30

§6.2

p. 392-393

#2, 5, 7, 10, 12, 14, 20, 21, 23

#1, 3, 4, 6, 8, 9, 11, 13, 15-19, 22, 24

HW #26
5/2?

§6.3

§6.4

p. 400-401 #1, 4, 7, 10, 12, 13, 15, 18, 22 #2, 3, 5, 6, 8, 9, 11, 14-17, 21
Backlog of possible assignments. For use in the future! :)


























§2.4

p. 139-141

#1, 4, 6, 10, 13, 21, 22, 25

#2, 3, 5, 7-9, 11, 12, 14



§2.5

p. 149-151

#2, 5, 9, 16, 21, 24, 25, 26

#1, 3, 4, 6-8, 10-15



§2.6[2.7?]

p. 156-157

#2, 3, 6, 7, 9, 10, 12, 13

#1, 4, 5, 14









4.4,     4.5

error correcting codes.pdf





























#2, 3, 5-7, 9, 11, 12, 14, 16, 17, 20, 22



§6.2

p. 392-393

#2, 5, 7, 10, 12, 14, 20, 21, 23

#1, 3, 4, 6, 8, 9, 11, 13, 15-19, 22, 24









§6.4

p. 407-408

#2, 5, 7, 8, 9

#1, 3, 4, 6, 10-12


Tentative  Work in progress!! Schedule of Topics  (Subject to change) 1-15-07
The grey area is still uncertain!
 
Monday Wednesday
Friday
Week 1
1.1-1.2
1-15 MLK DAY No Class
Introduction and Motivation
Solving 2 by 2  systems.
Continuation: Solving Systems of linear equations.
Week 2
1.2-1.4?
1-22 Introduction to matrices.


Being Systematic.
Gauss-Jordan Method using row operations
Vector Equations and Linear combinations

Begin Vector-Matrix Arithmetic and equations.
Week 3
1.4, 1.5
1- 29 Discussion of proofs.
Application to polynomial curve fitting?
Vector-Matrix Arithmetic and equations
Solutions AND Linear combinations
"Inner product."
Homogeneous and Non-homogeneous systems
Week 4
1.6-1.8

2-5 Applications
Spanning and Linear dependence Linear Independence
Week 5
1.8, 1.9
2-12 Linear Transformations

Matrices and LT's More on LT's [Abstract definition]
Connection with matrices.
Week 6
2.1-2.3 
2-19 More on LT's
1:1 and onto.
Properties of Matrix algebra. More Matrix algebra-Matrix Inverse.
Week 7
Midterm Exam #1
Self-Scheduled March 1
Covers weeks 1-6.
2.2,2.3
2-26 More Matrix Algebra- Inverse More on Matrix Inverse Invertibility and Independence, Spanning, etc.
 Invertible Linear Transformations
Week 8
2.8, 2.9, 2.3, (2.6, 2.7?)
3-5 Applications(Linear Difference- Migration-Markov)


Begin Subspaces.
Null Space and Column Spaces of a matrix.
BASES

Week 9
3-12 ... Spring Break   NO Classes!
Week 10
3.1,3.2
3-19  Dimension
Rank of a matrix.
Bases and Linear Transformations
Rank and nullity
More Inverse results.
 Begin Determinants
 Calculating determinants by cofactor expansion
Properties of determinants
 Products and Inverses
Week 11
3.3,
3-26 Applicatons of Determinants
Cramer's Rule, geometry of determinants. 
Determinants, Linear Transformations and Areas
Proof of Product Property
[Permutations and determinants?]
3-30CC Day  No classes
Week 12
4.1, 4.2, 4.3,
 (4.4,4.5,4.6)?
4-2 Begin Abstract Vector Spaces
Linear Transformations
Kernel(Null Space) and range
More VS examples.
Subspaces and spanning Rank and Nullity. 
More Linear transformations: T+aU, TU
Geometry of LT's
Week 13
Exam II
5.1, 5.2
4-9 More on Linear  Transformations, Null Space, Range, Independence, Basis, and Differential equations. Eigenvalue/vector of a matrix, Linear transformation
More eigenstuff.
Week 14
5.2,5.3, 4.9
4-16 Diagonalizable Matrices/transformations. Applications of  diagonalization.
Stochastic Matrices.
Comments on diagonalizable matrices.
Inner products and more on transformations
Week 15
6.1, 6.2
4-23 Inner products
Orthogonal and orthonormal bases Finish Orthonormal bases,
Orthogonal transformations and distance.
Week 16
6.3, 6.4
4-30 Gram- Schmidt - orthonormal bases.
General inner product spaces.
Geometry and Lin. Operators, Transformations
Breath! :) Symmetric Matrices, Transpose,Trace?
Week 17
Review Session:
Sunday 4-6pm
Lib 56
Final Exam Week
Final Exam Sign-up!
Sign up for your self-scheduled FINAL EXAM
You can sign up by responding to the sign-up in the Reality Quizzes Folder.
Self Schedule for Final Examinations
Tues. May 8 10:20-12:10 FH 125
Wed. May 9 10:20-12:10 SH 128
* (as per Exam Schedule)
Wed. May 9 12:30-14:20 SH 116
Fri. May 11 10:20-12:10 FH 125
OR
Special Appointment

Final Exam Week




Back to Martin Flashman's Home Page :) Back to HSU Math. Department :}


Spring, 2007                                  COURSE INFORMATION          M.FLASHMAN
                                                             MATH 241  Elements of Linear Algebra                                        
OFFICE: Library 1                                                                                     PHONE:826-4950

Office Hours: M-F 12:30-13:30 AND BY APPOINTMENT or chance!

E-Mail: flashman@humboldt.edu         WWW: http://www.humboldt.edu/~mef2/
***Prerequisite:MATH 205 or 210 (Allowed for Concurrent enrollment) (Permission given for three completed semesters or 4 quarters of Calculus)





Back to Martin Flashman's Home Page :)

Back to HSU Math. Department :}