Martin Flashman's Courses
Math 241 Elements of Linear Algebra
Fall, '04
TR 13:00- 14:20 SCIA 564
Self Schedule for Final Examinations


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Last updated: 08/17/2004
Assignments and recommended problems: Fall 2004
Tentative until a Due Date is designated.

HW #

Due Date

Read Section

Assigned Problems

Additional Suggested Problems

HW #1

8-31

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

 9-2

§1.2

p. 25-27

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

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

HW #3

 9-7

§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

 9-9

§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

9-14

§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

9-16

§1.6  Study Guide

p. 63-64

#1, 4, 5, 7, 8, 11, 12, 14
Note: Correction for Problem 11.
80 -->C instead of   80 <---C.
 

#2, 3, 13

HW #7

9-21 

§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 9-23
 §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

 9-28

§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

9-30

§1.10 pp97-99
Study Guide

p. 101

#9, 11, 12

#1, 2, 4, 5, 8, 3, 6, 7, 10
On-Line Markov System Materials

HW #11

9-30 

§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 #12

10-5 

§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 #13

 10-12

§2.3

p. 132-133

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

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

HW #14

 

§2.4

p. 139-141

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

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

HW #15

 

§2.5

p. 149-151

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

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

HW #16

 

§2.6[2.7?]

p. 156-157

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

#1, 4, 5, 14

HW #17.1

11-2 

§4.1

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 # 17.2

§4.2
especially pp 232-234

 p.   234-236
 # 7-9, 25,31, 34,
#35, 36
HW  #17.3

§4.3
p. 342- 345
# 22, 25, 26, 31,33,38
#32


4.4,     4.5

error correcting codes.pdf

HW #18

10-14 

§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 #19

10-19 

§2.9

p. 180-182

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

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

HW #20

 10-21

§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 #21

10-26

§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 #22

 10-28

§3.3
Determinant
summary

p. 209-210

#2, 5, 8, 19, 24, 25, 28, 29

#1, 3, 4, 6, 7, 9, 10, 20-23, 27, 30

HW #23

11-16 

§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 #24

11-18 

§5.2

p. 317-318

#2, 3, 9, 11, 16, 21, 23, 24

#1, 4-8, 10, 12-15, 17, 19, 20, 22

HW #25

 11-30

§5.3

p. 325-326

#1, 4, 7, 12, 18, 22, 27, 33

#2, 3, 5, 6, 8-11, 13-17, 19-21

HW #26

 12-2

§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 #27

12- 7

§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 #28

 

§6.3

p. 400-401

#1, 4, 7, 10, 12, 13, 15, 18, 22

#2, 3, 5, 6, 8, 9, 11, 14-17, 21

HW #29

 

§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) 11-15-04
The grey area is still uncertain!
 
Tuesday Thursday
Week 1
1.1-1.2
9-24 Introduction and Motivation
Solving 2 by 2  systems.
Continuation: Introduction to matrices.Being Systematic.
Gauss-Jordan Method using row operations
Week 2
1.3-1.4
8-31 Gauss-Jordan Method using row operations
Vector Equations and Linear combinations
Application to polynomial curve fitting?
Discussion of proofs.
Begin Vector-Matrix Arithmetic and equations.
Week 3
1.4, 1.5
9-7 Vector-Matrix Arithmetic and equations Solutions AND Linear combinations
"Inner product."
Applications
Week 4
1.6-1.8

9-14 More applications
 
[Spanning and Linear dependence.]
Linear Independence
Week 5
1.8, 1.9
9-21 Linear Transformations
Matrices and LT's
More on LT's
1:1 and onto.
Week 6
2.1-2.3 
9-28 Applications(Linear Difference- Migration-Markov)
Properties of Matrix algebra.
Matrix Inverse.
Applications
More on Matrix Inverse.


Week 7
Midterm Exam #1 Self-Scheduled
Wednesday 10-6
8:00- 12:30 Room 102
5:00 - 8:30pm Lib 56

Covers weeks 1-6.

2.3, 2.8
10-5 Invertibility and Independence, Spanning, etc. 10-7 Invertible Linear Transformations
Begin Subspaces.
Null Space and Column Spaces of a matrix.
Week 8
2.8, 2.9, 2.3, (2.6, 2.7?)
10-12 BASES

Dimension
Rank of a matrix.
Bases and Linear Transformations
Rank and nullity
Week 9
3.1,3.2
 
10-19 More Inverse results.
 Begin Determinants
Calculating determinants by cofactor expansion
Properties of determinants
Products and Inverses
[Permutations and determinants?]
 
Week 10
3.3,4.1, 4.2, 4.3
10-26Applicatons of Determinants
Cramer's Rule Subspaces and Linear Transformations
 
Begin Abstract Vector Spaces
Subspaces and spanning
Linear Transformations 
Kernel(Null Space) and range
More VS examples.
Week 11
4.4,4.5,4.6
11-2 Rank and Nullity. 
Finish Rank
More Linear transformations: T+aU, TU
Geometry of LT's
Week 12 Exam II
5.1, 5.2
11-9 Eigenvalue/vector of a matrix 1:1 the Nullspace, and inverse functions
Week 13
5.2,5.3, 4.9
11- 16 More eigenstuff.
Diagonalizable Matrices/transformations.

Applications of  diagonalization.
Stochastic Matrices.
BREAK 11-23 No class  No Class
Week 14
6.1, 6.2, 6.3, 6.4
11-30 Comments on diagonalizable matrices.
Inner products and more on transformations
Orthonormal bases
Finish Orthonormal bases,
Orthogonal transformations,
distance and Isometries
General inner product spaces.
Week 15 12-7 Geometry and Lin. Operators, Transformations
Symmetric Matrices, Transpose,Trace
Breath & Review for Final
Week 16
12-13 to 12-17
Final Exam Week


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


Fall, 2004                                  COURSE INFORMATION          M.FLASHMAN
MATH 241                                           
OFFICE: Library 48                                                                                     PHONE:826-4950
Hours (Tent.):  MTRF: 14:30-15:20 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 :}