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

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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 2-1/6*

§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
2-4/8*

§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
2-8/14*

§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
Quiz #1 2/12 Covers 1.1,1.2 and 1.3
HW #1, #2, and #3



HW #6
2-14/17*

§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
 2/19(?)
 Covers 1.3 and 1.4
HW #3 and #4



HW #7
2-18/20*

§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
2-20/22*
 §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
2/21(?)
Covers 1.5 and 1.6
HW #5 and #6
HW #9
2-25/29*

§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
 2/28
 Covers 1.7 and 1.8
HW #7 and #8



HW #10
2-29/3-3*

§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
3-3/ 7*
 §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
3-7/10*

§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
Try to come 5 minutes before your starting time: 
Tuesday 3-11 evening 5:30-9:00 pm BSS 302
Wednesday 3-12 morning 8:30-11:50 am come to BSS 356.
Covers Material from HW # 1-12 and related sections. see Sample Exam on Moodle.
HW #15 3-21/26*
 §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 3-28/4-2*
 §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 #12.5
 		4-2*
 		§1.10 pp97-99
Study Guide		 p. 101 #9, 11, 12 On-Line Markov System Material
HW #13.5
4-4/7*
 §1.10 pp93-96 p99
 #1, 2, 4, 5, 8, 3, 6, 7, 10

HW #18 4-4/7*
 §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
 4-9/11*
 §4.2
especially pp 232-234		 p.   234-236  # 7-9, 25,31, 34 #35, 36
HW #20
 4-14/16*
 §4.3 p. 342- 345 # 22, 25, 26, 31,33,37 #32
HW # 13
 4-16/18*
 §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
4-16/18*

§2.9

p. 180-182

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

#2, 3, 5, 10, 11, 13, 17
Midterm Exam #2 Self-Scheduled
Try to come 5 minutes before your starting time:
Tuesday 4-22 evening 5:30-9:00 pm BSS 302
Wednesday 4-23 morning 8:30-11:50 am come to BSS 356.
Covers Material from HW # 13-20 ( and related sections). see Sample Exams on Moodle.
HW #21

 4-21/23*
 §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
4-23/25*
 §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
 4-25/28*
 §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
 4-30/5-2*
 §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 #25
 		4-30/5-5*

§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
 5-5/7*

§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) Revised 3-12-08
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
1.3, 1.4, 1.5		 2-4  [Discussion of proofs.]
Solutions AND Linear combinations
Vector-Matrix Arithmetic and equations		 "Matrix Inner product."
Application to polynomial curve fitting
Proof of  Theorem 4 ("equivalences")
Start Homogeneous and Non-homogeneous systems
Week 4
1.5-1.8		 2-11 Homogeneous and Non-homogeneous systems
 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
2.1-2.2  		2-25 More on LT's
1:1 and onto.		 More on LT's
 Properties of Matrix algebra.-Matrix Inverse.
Week 7
2.2,2.3 		3-3 More Matrix Algebra- Inverse More on Matrix Inverse Invertibility and Independence, Spanning, etc
Week 8
Midterm Exam #1
Self-Scheduled TBA Covers weeks 1-6.
2.8, 2.9, 2.3, (2.6, 2.7?)		 3-10 The Big theorems: Invertibility and Independence, Spanning, etc.
 Invertible Linear Transformations		 Begin Determinants
Calculating determinants by cofactor expansion		 Properties of determinants
Products and Inverses
Week 9
3-17 ... Spring Break   NO Classes!
Week 10
3.1,3.2		 3-24 Applicatons of Determinants
Cramer's Rule 
Proof of Product Property		  3-30 Geometry of determinants.
Determinants and Areas

Finish determinants
Linear Transformations and Areas
Integration?
[Permutations and determinants?]
More Inverse results.
Reading: Applications(Linear Difference- Migration-Markov)
Week 11
3.3,		 3-31 CC Day  No classes Begin Abstract Vector Spaces
Linear Transformations		 Begin Subspaces.
Week 12
4.1, 4.2, 4.3
 4-7  More VS examples. Linear Transformations
Kernel(Null Space) and range
Null Space and Column Spaces of a matrix.		 Subspaces and spanning
 BASES
Week 13  2.8, 2.9
 (4.4,4.5,4.6)? 5.1, 5.2		 4-14 More on Linear  Transformations, Null Space, Range, Dimension
Rank of a matrix.
Bases and Linear Transformations
Rank and nullity 		Independence, Basis, 
Eigenvalue/vector of a matrix, Linear transformation		 More eigenstuff and Differential equations.
 More Linear transformations: T+aU, TU? Geometry of LT's?
Week 14
Exam II 4-22/23 Self-scheduled!
5.2,5.3, 4.9		 4-21 More eigenstuff
 Diagonalizable Matrices/transformations.
Applications of  diagonalization.
 Stochastic Matrices.
Comments on diagonalizable matrices.
Begin inner products and more on transformations?
Week 15
6.1, 6.2		 4-28 More on Eignevalues and  Complex numbers.
Inner products		 Orthogonal vectors and complements. Orthogonal and  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 May 11
2:00- 3:50 PM
Come to BSS 356 for room #.
Sample Final Exam Questions wil be available on Moodle by May 9th.
 		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
Mon. May 12 15:00-16:50 TBA come to BSS 356
Wed. May 14 15:00-16:50 SH 128
Wed. May 14 12:40-14:30 NR 201* (as per Exam Schedule)
Thur. May 15 15:00-16:50 SH 128 OR
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 :}