Martin Flashman's Courses
Math 241 Elements of Linear Algebra
Spring, '08
MWF 13:00- 13:50
NR 201 (changed 1-23-08)


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Last updated: 1/15/2007

Assignments and recommended problems: Spring 2008
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
and Reading

HW #1

1-28/30*

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 1-30/2-1*

§1.2
Check out

p. 25-27

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

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

HW #3
2-1/4*

§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

§1.4 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

§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

§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

§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

 §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

§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

§2.1

p. 116-117

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

#1, 4, 6, 8, 9, 11, 13, 15, 28   

  HW #11

 §2.2 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

§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

§1.10 pp97-99
Study Guide
p. 101 #9, 11, 12 On-Line Markov System Material
HW # 13

§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

§1.10 pp93-96 p99
#1, 2, 4, 5, 8, 3, 6, 7, 10
HW #14

§2.9

p. 180-182

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

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

HW #15
§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

§3.2

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
§3.3
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
§4.1
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

§4.2
especially pp 232-234
p.   234-236  # 7-9, 25,31, 34 #35, 36
HW #20

§4.3 p. 342- 345 # 22, 25, 26, 31,33,37 #32
HW #21

§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

§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

§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

§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

§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

§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) 1-12-08
The grey area is still uncertain!
 
Monday Wednesday
Friday
Week 1
1.1-1.2
1-21 MLK DAY No Class
Introduction and Motivation
Solving 2 by 2  systems.
Continuation: Solving Systems of linear equations.
Week 2
1.2-1.3
1-28 Solving Systems of linear equations.
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
2-4  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

2-11 Applications
Spanning and Linear dependence Linear Independence
Week 5
1.8, 1.9
2-18 Linear Transformations

Matrices and LT's More on LT's [Abstract definition]
Connection with matrices.
Week 6
2.1-2.3 
2-25 More on LT's
1:1 and onto.
Properties of Matrix algebra. More Matrix algebra-Matrix Inverse.
Week 7
Midterm Exam #1
Self-Scheduled TBA
Covers weeks 1-6.
2.2,2.3
3-3 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?)
3-10 Applications(Linear Difference- Migration-Markov)


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

Week 9
3-17 ... Spring Break   NO Classes!
Week 10
3.1,3.2
3-24  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,
3-31 CC Day  No classes Applicatons of Determinants
Cramer's Rule, geometry of determinants.
3-30Determinants, Linear Transformations and Areas
Proof of Product Property
[Permutations and determinants?]
Week 12
4.1, 4.2, 4.3,
 (4.4,4.5,4.6)?
4-7 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 TBA?
5.1, 5.2
4-14 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
4-21 Diagonalizable Matrices/transformations. Applications of  diagonalization.
Stochastic Matrices.
Comments on diagonalizable matrices.
Inner products and more on transformations
Week 15
6.1, 6.2
4-28 Inner products
Orthogonal and orthonormal bases Finish Orthonormal bases,
Orthogonal transformations and distance.
Week 16
6.3, 6.4
5-5 Gram- Schmidt - orthonormal bases.
General inner product spaces.
Geometry and Lin. Operators, Transformations
Breath! :) Symmetric Matrices, Transpose,Trace?
Week 17
Review Session:
Sunday 
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
TBA
OR
Special Appointment

Final Exam Week




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


Spring, 2008                                 COURSE INFORMATION          M.FLASHMAN
                                                             MATH 241  Elements of Linear Algebra                                        
OFFICE: BSS 356                                                                                     PHONE:826-4950

Office Hours: MWF 10:30- 12:00 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 :}