Martin Flashman's Courses
Math 241 Elements of Linear Algebra
Fall, '09
TR 14:00- 15:20
Art 27


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Last updated: 8/24/2009

Assignments and recommended problems: Fall 2009
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

8/27-9/1

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 9/1-3

§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 9/8

§1.3   study guide

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
9/10

§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
9/15

§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


Quiz #1
Covers 1.1,1.2 and 1.3
HW #1, #2, and #3




HW #6
9/22

§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


Quiz #2

Covers 1.3 and 1.4
HW #3 and #4




HW #7
9/22-24

§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
9/29 - 10/1
 §1.8  StudyGuide    p. 79-81    #2, 3, 6, 10, 11, 17, 18, 20, 21, 34  
   # 1, 4, 5, 9, 12-16, 19, 22
Quiz #3

Covers 1.5 and 1.6
HW #5 and #6




HW #9
9/29- 10/1

§1.9  StudyGuide
Extra thrms of 1.9

p. 90-91

#1, 2, 4, 5, 10, 11, 17, 24, 35
Submit in writing:1.8 p 81: #34

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


Quiz #4

Covers 1.7 and 1.8
HW #7 and #8




HW #10
10/6

§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
10/6-8
 §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
10/13-15

§2.3

p. 132-133

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

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


Midterm Exam #1 Self-Scheduled Tuesday evening 10/13 and Wednesday 10/14
Try to come 5 minutes before your starting time

Covers Material from HW # 11 and related sections. see Sample Exam on Moodle.

HW #15 10/15-20
§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 10/22
§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 10/22-27
§3.3
Determinant
summary
Proof of Thrm 6 on Moodle
p. 209-210 #2, 5, 8, 19, 24, 25, 28, 29 #1, 3, 4, 6, 7, 9, 10, 20-23, 27, 30
HW #18 10/29-11/3
§4.1
More v.s. examples on Moodle
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 11/5 -12
Changed 11/10
§4.2
especially pp 232-234
p.   234-236  # 7-9, 25,31, 34 #35, 36
HW #12.5 11/12
§1.10 pp97-99
Study Guide
p. 101 #9, 11, 12 On-Line Markov System Material
HW #20 11/12-17
§4.3 p. 342- 345 # 22, 25, 26, 31,33,37 #32
Midterm Exam #2 Self-Scheduled 11/17 evening- 11/18
Try to come 5 minutes before your starting time:

Covers Material from HW # 12 to 20 ( and related sections). see Sample Exams on Moodle.


HW #21 12/1-3
§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 12/3
§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 12/8-10
§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 12/10
§6.1 p. 382-383 #1, 4, 5, 8, 10, 13, 15, 18, 19
#2, 3, 5-7, 9, 11, 12, 14, 16, 17, 20, 22
HW #25 12/10
§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 12/10???

§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 previous course assignments. Not assigned in Fall, 2009 :)

HW #13.5

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

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 #14

§2.9

p. 180-182

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

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






§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) Revised 9-8-09
The grey area is still uncertain!
 
Tuesday
Thursday
Week 1
1.1-1.2
8/25Introduction and Motivation
Solving 2 by 2  systems.
Continuation: Solving Systems of linear equations.
Week 2
1.2-1.3
9/1 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
1.3, 1.4, 1.5
 9/8
Solutions AND Linear combinations
Vector-Matrix Arithmetic and equations
"Matrix Inner product."
[Discussion of proofs.]

Proof of  Theorem 4 ("equivalences")
Start Homogeneous and Non-homogeneous systems
Week 4
1.5-1.8
9/15 Homogeneous and Non-homogeneous systems
Applications
Application to polynomial curve fitting
Spanning and Linear dependence
Linear Independence
Week 5
1.8, 1.9
9-22 Linear Transformations
Matrices and LT's
More on LT's [Abstract definition]
Connection with matrices.
Week 6
2.1-2.2 
9-29 More on LT's
1:1 and onto.
Properties of Matrix algebra.
Week 7
2.2,2.3
10-6 -Matrix Inverse. More Matrix Algebra- Inverse
 Invertibility and Independence, Spanning, etc
Week 8
Midterm Exam #1
Self-Scheduled 10/13 evening+10/14
Covers weeks 1-7.
2.8, 2.9, 2.3, (2.6, 2.7?)
10-13 The Big theorems: Invertibility and Independence, Spanning, etc.
 Invertible Linear Transformations
Begin Determinants
Calculating determinants by cofactor expansion
Properties of determinants
Products and Inverses
Permutations and determinants?
Week 9
3.1,3.2
10-20 More Properties and Applicatons of Determinants
Cramer's Rule 
Proof of Product Property
Geometry of determinants.
Determinants and Areas

10-22
Finish determinants
Linear Transformations and Area

Week 10
3.3, 4.1, 4.2
10/27  Integration?
More Inverse results.
10/29Begin Abstract Vector Spaces
Linear Transformations
Week 11
4.1-4.3
11/3More VS examples.
Begin Subspaces.
Linear Transformations
Kernel(Null Space) and range
Null Space and Column Spaces of a matrix.
Week 12  2.8, 2.9
 (4.4,4.5,4.6)? 5.1, 5.2
11/10 Reading: Applications(Linear Difference- Migration-Markov)
More on Linear  Transformations, Null Space, Range,
Subspaces and spanning
BASES
Dimension
Rank of a matrix.
Bases and Linear Transformations
Rank and nullity Independence, Basis, 
Eigenvalue/vector of a matrix, Linear transformation?
Week 13
Exam II 11-17/18 Self-scheduled!
11/17 review for exam.
Stochastic Matrices.

Bases and coordinates.

Week 14
Thanksgiving Break
Week 15
5.2, 5.3
12/1 Coordinates, linear transformations and matrices.
Eigenstuff and Differential equations.
Diagonalizable Matrices/transformations.

Eigenvalues and  Complex numbers.
Comments on diagonalizable matrices.
Week 16
4.9
6.1, 6.2, 6.3, 6.4
12/8 Applications of  diagonalization.
Inner products
Orthogonal vectors and complements.
Orthogonal and  Orthonormal bases,
Orthogonal transformations and distance.
Gram- Schmidt - orthonormal bases.
General inner product spaces.
Geometry and Lin. Operators, Transformations
More Linear transformations: T+aU, TU?
Geometry of LT's
Breath! :) Symmetric Matrices, Transpose,Trace?
Week 17
Review Session:
Sunday 4:00- 6:00 PM
Come to BSS 308.
Sample Final Exam Questions will be available on Moodle by Dec 10.
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 on Moodle
Self Schedule for Final Examinations

Final Exam Week

17 Final Examination Self scheduled choices:
Mon: 12/14
10:20 SH 128

Tues: 12/15
15:00 Art 27

Thurs.: 12/17
10:20 SH 128


Fri: 12/18
10:20 SH 128

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


Fall, 2009                                 COURSE INFORMATION          M.FLASHMAN
                                                             MATH 241  Elements of Linear Algebra                                        
OFFICE: BSS 356                                                                                     PHONE:826-4950

Office Hours (Tent.): MTRF 12:30-1:30 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)



Students with Disabilities: Persons who wish to request disability-related accommodations should contact the Student Disability Resource Center in House 71, 826-4678 (voice) or 826-5392 (TDD). Some accommodations may take up to several weeks to arrange. http://www.humboldt.edu/~sdrc/
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Back to Martin Flashman's Home Page :)

Back to HSU Math. Department :}