Syllabus WWU 204

8/10/2019 Syllabus WWU 204

1/6

Math 204 SYLLABUS Fall, 2011

INSTRUCTOR: Millie JohnsonOFFICE: BH 212

OFFICE HOURS: 12:00 noon daily or by appointment.PHONE: W: 360-650-3459 H: 360-671-3204

email:[email protected]: Linear Algebra and Its Applications Third Edition, by David Lay.

We will attempt to uncovermuch of chapters 1-5, with some sections

omitted. A calculator with matrix capabilities equivalent to the TI-89 (the TI-Nspire CX CAS is nice) is required and classroom support will be available for

TI machines. Their use will be encouraged throughout all facets of the course.[Ask me if you are uncertain about your calculator. The TI-83 is notrecommended for this course.]

ATTENDANCE:Students are responsible for the material discussed in class as well as for announcements concerning the

course.HOMEWORK:Homework problems will be assigned and collected according to a stated schedule. Late assignments areNOT ACCEPTED. Students may work together on homework or obtain help from tutors; however it isrecommended that the students make sure that they can solve all problems independently when work is

turned in. Your best 20 assignment scores will be totaled after which the top student total in the class willbe considered 100%. The homework grade will only be used if it improves your overall grade. Workedsolutions to the homework problems will be on reserve in the library after each assignment is turned in.

QUIZZES:Weekly quizzes will be given tentativelyon September 30, October 7, 21, November 4, and 14. The four

best quiz scores will be counted.EXAMS:

Three in-class exams will be given tentativelyon October 14, 28, and November 22. The exams must betaken at the scheduled times. Only a medical excuse validated by a doctor or the University HealthService, or a personal emergency validated by the Office of Student Affairs, or the consent of the

instructor at least one week PRIOR to the exam will be reason for missing an exam. Only in thesesituations will a make-up exam be given.FINAL EXAM:The comprehensive final exam is scheduled for: Monday, December 5, 8:00-10:00 a.m.Students must take the final at the designated time. NO FINAL EXAMS MAY BE TAKEN EARLY.

Make your job and travel plans accordingly.ACADEMIC DISHONESTY:Guidelines laid out in Appendix D of the 2011-2012 WWU Catalog will be followed. click: About WWU; click: Appendices

GRADING:The final grade will be computed using the following weighting system:Homework-1(optional); Quizzes-1; Three exams-3; Final-1.5. Letter grades will be based upon the

following scale. Cut-offs: 90%-A; 80%-B; 70%-C and P; 60%-D; Below 60%-F. The scale may besubject to a change downward. + and - grades will also be given.IMPORTANT DATES:

Sept. 30 - last day to drop w/out using drop privilege or receiving WNov. 4 - last day for late course withdraw (receive W & need privilege)


2/6

Math 204 Johnson

Handout Exercises for Assignments3, 4, 5, 13(see assignment schedule)

1. Mark each statement True or False. Justify each answer. If true, cite appropriate facts or theorems. If

false, explain why or give a counterexample that shows the statement is false.

(a) If a matrix B is obtained from A by elementary row operations, then A can be obtained from B byelementary row operations. (T)

(b) One elementary row operation is multiplication of all entries in a row by a constant. (F)

(c) If two augmented matrices are row equivalent, then the associated systems of linearequations have the same solution set. (T)

(d) An underconstrained linear system (with fewer equations then variables) cannot have a uniquesolution. (T)

(e) An overconstrained system (with more equations than variables) cannot have a unique solution. (F)

(f) If the coefficient matrix of a consistent system of linear equations has a pivot position in everycolumn, then the solution must be unique. (T)

(g) A system of linear equations has infinitely many solutions if and only if at least one column in the

coefficient matrix does not contain a pivot position. (F)

(h) A consistent system of linear equations has infinitely many solutions if and only if at least onecolumn in the coefficient matrix does not contain a pivot position. (T)

(i) An inconsistent system of linear equations sometimes has a unique solution. (F)

(j) A 5 x 7 matrix cannot have a pivot position in every row. (F)

(k) A 6 x 5 matrix cannot have a pivot position in every row. (T)

2. Determine if each system is consistent for all possible h and k. Justify answers.

(a) 2x1 - x2= h (consistent for (b) 2x1 - x2= h (not consistent for all-6x1+ 2x2= k all h and k) -6x1+ 3x2= k h and k, only if

k + 3h = 0.)

3. True or False. Justify!

(a) If A is a 3 x 2 matrix, the equation Ax= 0 necessarily has a nontrivial solution. (F)

(b) If the system Ax= 0 has a solution, so does the system Ax= b. (F)


3/6

Math 204 Johnson Fall, 2011Assignments

Directions:1. Please write the following heading on your papers in the upper right corner:

NameMath 204

Assignment # [This will help in terms of reference.]2. Show all reasoning necessary to support your solutions.3. Proper notation is important. Points may be deducted if you mean one thing yet write another.4. Please staple your papers together.

****ALL ASSIGNMENTS ARE SUBJECT TO CHANGE!****

AssignmentNumber

DateDue

ReadSection(s)

Problems

1 9/26

rrbh*

1.1 1.1 pp.11,12:#1,2,5,6,8,9,16,19,20,31

*rrbh=row reduction by hand, labeled as shown in class.

2 9/27

rrbh

1.2 1.1 pp.11,12:#15,17,21,22,25,32

1.2 pp.25-27:#1*,2*,3,7,8,11*For #1,2 change directions to include neither.

3 9/29

rrbh

1.2 1.2 pp.25-27:#4,6,10,12,15,17,18,20*,29,31Sup1 pp.102,103:#1abcd

Handout(see attached):#1abc*replace choose w/ determine all.

4 9/30

rrbh

1.3 1.2 pp.25-27:#13,14,16,19*,23,24Handout(see attached):#1defg1.3 pp.37-40:#1,2,3,4,10*replace choose w/ determine all.

Quiz #1 9/30 Tentatively covers through section 1.3.

5 10/4

rref:hence-

forth.

1.4 Handout(see attached):#1hijk,2

1.3 pp.37-40:#6,8,11*,12*,13,14,15**,17,19,261.4 pp.47-49:#1,2,3,4

Sup1 pp.102,103:#5*Directions for #11,12 at bottom right of pg. 37.

**list three instead of five.

6 10/6 1.4 1.3 pp.37-40:#18,21,25,27

1.4 pp.47-49:#6,8,10,12,13,14,17,19,20

7 10/7 1.5 1.4 pp.47-49:#15,16,18,21,22,25.261.5 pp.55,56:#2,3,4,19,20,21,22



4/6

AssignmentNumber

DateDue

ReadSection(s)

Problems

8 10/10 1.5 1.4 pp.47-49:#31,321.5 pp.55,56:#5,6,12,13,14,15,16,29,34

9 10/11 1.7 1.5 pp.55,56:#18,27,28,30,31,32

1.7 pp.71,72:#1,2,3,7,9,10,11,12,16,19

10 10/13 1.7 1.7 pp.71,72:#5,6,14,17,18,29,30,31,33,34,35,38,39

EXAM I 10/14 Tentatively covers through section 1.7.

11 10/18 1.8 1.7 pp.71,72:#27,36,37,401.8 pp.79-82:#1,4,5,7,8,9,10,11,12

12 10/20 1.9 1.8 pp.79-82:#13,14,15,16,18

1.9 pp.90-92:#1,2,4,15,16,18,26

13 10/21 1.10 1.8 pp.79-82:#17,19,32,331.9 pp.90-92:#3,5,8,10,13,14,20,22,281.10 p. 101 :#9,12

Sup1 pp.102,103:#1efghjk (omit i)Handout(see attached):#3


14 10/24 2.1 1.9 pp.90-92:#19,27,32Sup1 pp.102,103:#1-lnqrsuvwxyz (omit m,o,p,t)

2.1 pp.116,117:#1cd,2cd,4,8,10,12,18

15 10/25 2.2 1.9 pp.90-92:#352.1 pp.116,117:#7,9,17,20,21

2.2 pp.126-128:#1,2,5,27*,28 [*see eq (1) at bottom p.112]

16 10/27 2.3 2.2 pp.126-128:#17,18,31,322.3 pp.132,133:#2,3,6,16,18,19,20,[21,22]*,23,24Sup2 pp.183,184:#1a-l,p (all letters between a and l, inclusive, & p)

*See directions, matrices are n x n.

EXAM II 10/28 Tentatively covers through section 2.3.

10/31 Happy Halloween!

17 11/1 3.1 2.2 pp.126-128:#7,37Sup2 pp.183,184:#7,83.1 pp.190-192:#1,7,12,14


5/6

AssignmentNumber

DateDue

ReadSection(s)

Problems

18 11/3 3.2,4.1 3.1 pp.190-192:#19,20,21,25,27,29,333.2 pp.199,200:#1,2,16,17,20,24

4.1 pp.223-225:#1,9,13,15,17

19 11/4 4.2 3.1 pp.190-192:#35,37,383.2 pp.199,200:#3,5,15,18,21,26,29,31

4.1 pp.223-225:#2,11,14,16,184.2 pp.234-236:#2,7,9,13


20 11/7 4.3 3.2 pp.199,200:#19,33,40* [*Note: det ABC means det(ABC)]Sup3 pp.211,212:#1a-k,n*,o,p,5 [*Note: A=0 means zero matrix.]

4.1 pp.223-225:#12,21

4.2 pp.234-236:#3,8,15,17,21,224.3 pp.243-245:#2,5

21 11/8 4.4 4.2 pp.234-236:#10,12,18,23,24,27,284.3 pp.243-245:#1,4,7,9,12,13,14,15,204.4 pp.253-255:#1,3,6,7

22 11/10 4.4 4.3 pp.243-245:#6,11,16,24,25,29,30

4.4 pp.253-255:#2,4,5,9,10,11,12,17

23 11/14 4.5,4.6 4.4 pp.253-255:#21,35,37,384.5 pp.260-262:#1,2,3,10,11,13,16

4.6 pp.269,270:#1,2,5,6,7,9,13


24 11/17 4.7 4.5 pp.260-262:#5,7,8,9,12,14,184.6 pp.269,270:#4,8,10,14,264.7 pp.276,277:#1,2,5,7,8

25 11/18 4.7 4.5 pp.260-262:#29,30

4.6 pp.269,270:#12,194.7 pp.276,277:#3,4,6,9,10

Sup4 pp.298,299:#1a-o,q,r,t, 2

EXAM III 11/22 Tentatively covers through section 4.7.


6/6

AssignmentNumber

DateDue

ReadSection(s)

Problems

26 11/29 5.1,5.2 Sup4 pp.298,299:#3,7,85.1 pp.308,309:#2,3,5,8,11,15,17,35

5.2 pp.317,318:#1,3,6,9,15,20

27 12/1 5.3 5.1 pp.308,309:#4,7,9,13,20,23,24,255.2 pp.317,318:#10,12,16,18,24

5.3 pp.325,326:#1,11,13,17,18

28 12/2 5.4 5.3 pp.325,326:#23,255.4 pp.333,334:#1,2,11,12,13,15

FINALEXAM

8:00-10:00

(extra timeavailable)

12/5 COMPREHENSIVE

Have a safe and wonderful winter break!

Documents

Syllabus WWU 204