Math 309 SPRING 2017

1. Section Information

Section

Time

Location

Instructor

email

Office Hours

MWF 10 - 11 AM

Brown 100

Jack Shapiro

jshapiro@wustl.edu

M, W : 3 – 4pm

T, Th : 9:30 – 10: 30am

Cupples I , 107B

Webworks must be completed by 11:59 pm on their due date.

Homeworks will be handed on crowdmark.com on their due date. They will be returned the following week.

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HOMEWORKS :

HW #1: section 1.1, problems 48, 50; section 2.1, problems 20, 22

HW #2: sec. 2.2, problems 22, 42; sec. 2.4, problems 14, 40

HW #3: sec. 3.3, problems 44, 56; sec. 3.4, problems 4, 28

HW #4: sec 4.3: 12, 48; sec 4.4 problem 54; sec 4.5, problem 42

HW #5: sec. 5.2, problems 24, 30; sec. 5.3: problem 34; sec 5.4: problem 12

HW #6: sec 6.1, problem 24; sec 6.2, problem 18; sec 6.3, problem 30, 40

HW #7: sec 6.4, problem 20; sec 7.1, problem 46; sec 7.2, problems 20 and 30

HW #8: sec 8.1, problem54; sec 8.2, problem 32 ; sec 8.3, problem 56 ; sec 8.4, problem 18

HW #9: sec 8.5, problems 20, 30, 32, 40

2. Grading Information

There will be two evening exams during the semester, E1, E2, and a Final Exam.

.

Exam	Date	Location	Time
E1	February 22^nd	Check here on exam day.	6:30 – 8:30 PM
E2	April 3^rd	Check here on exam day.	6:30 - 8:30 PM
Final Exam	May 8^th	Check here on exam day.	10:30am – 12:30pm

GRADES : Each of the Exams, 1, 2 and the final, will count 23% toward the final course grade while the HW will count 16% , and the remaining 15% will come from the WW. The formula T for the total average will be:

T = .23(E1 + E2 + F ) + .16 HW + .15 WW

Then your letter grade for the course will not be lower than it would be if it were based on the scale appearing in the following table .

Numerical Range	Letter Grade
90 - 100	A
75 – 89.99	B
60 - 74.99	C
50 - 59.99	D
0 - 49.99	F or NC

Missed Exams :

Rules for Exams :

You should always bring your Washington University Photo ID to exams.

You can bring a scientific calculator to the exam for calculations. The exams will be multiple choice.
The following are examples of calculators that are acceptable:

Casio FX-250, Casio FX-260, FX-270, Casio FX-300
Sharp EL-501, Sharp EL-506, Sharp EL-520, Sharp EL-531, Sharp EL-546
TI-30, TI-34, TI-36

Just before each exam I will let you know about room assignments by email . You will be allowed to enter the exam room a few minutes before the starting time to find a seat and get ready for the start of the exam. Make sure you put your correct 6 digit ID number on your answer card. You can take your exam booklet with you after you hand in your card.

3. Text

Elementary Linear Algebra, Seventh Edition, Ron Larson

4. Syllabus

Week

Sections

Suggested Problems (Only odd problems)

#1 W 1/18

F 1/20

1.1: Linear Equations
2.1: Matrices

1.1: 37 - 51
2.1: 5, 7, 9, 19,21

#2 M 1/23
W 1/25
F 1/27

2.1: Matrices
2.2: Matrix Operations
2.4: Elementary Matrices

2.1: 39, 45, 47, 49, 51, 55
2.2: 1 – 33, 37 – 41, 51, 55 HW # 1 Due
2.4: 1 – 15, 39

#3 M 1/30
W 2/1
F 2/3

2.3: Inverse of Matrix
3.1: Determinant
3.1: Determinant
3.2: Operations on Determinants
3.3, 3.4: Determinants & Cramer’s Rule

2.3: 13, 15, 17, 25, 31, 33, 35, 41 - 47 WW # 1 Due
3.1: 13 – 27, 39, 41
3.1: 45 – 51       HW #2 Due
3.2: 25, 27, 29,31, 33

3.3: 3,15, 19, 27, 33, 39

3.4: 1, 3, 5, 21, 23, 25, 27

#4 M 2/6
W 2/8

F 2/10

4.2: Vector Spaces
4.3: Sub Vector Spaces
4.4: Spanning Sets
4.5: Basis and Dimensions

4.2: 29, 31, 33
4.3: 21, 23, 29, 31, 37, 39, 41, 43

4.4: 5, 7, 35, 37, 53 WW #2 Due, HW # 3 Due (Wed)

4.5: 35, 37, 41, 43, 45

#5 M 2/13

W 2/15
F 2/17

4.6: Rank of Matrix

4.7: Change of Basis

4.6: 11, 13,21, 23, 31, 33, 39, 43
4.7: 7, 9, 13, 15 HW # 4 Due and WW # 3 Due(Wed)
4.7: 19, 21, 23, 43, 45

#6 M 2/20

        T   2/21
   W 2/22

F 2/24

No class on Monday

REVIEW FOR EXAM (Wed)

EXAM 1 6:30 – 8:30 PM (Wed)

5.2: Inner Product Spaces

All covered material up until and including 4.7

WW # 4 Due (Thursday)

5.2: 5, 7, 9, 11, 21, 23,29, 31

#7 M 2/27

W 2/28

F 3/3

5.3: Gram-Schmidt Process

5.4: Orthogonal Complement

6.1: Linear Transformations

5.3: 31, 33, 35, 59, 61

5.4: 5, 7, 9, 11

6.1: 11, 13, 15, 17, 19, 21, 67

#8 M 3/6

W 3/8

F 3/10

6.3: Matrices for Lin. Trans.

6.3: Matrices for Lin. Trans

6.2: Kernel and Range

6.3: 1 – 9   WW # 5 Due   HW # 5 Due    (Mon)

6.3 : 27 - 45

6.2 :  1 - 23

3/12 - 3/18

     SPRING   BREAK

#9 M 3/20

W 3/22
Fri 3/24

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6.4: Transition Matrix
6.4: Similarity

7.1: Eigenvalues and Eigenvectors

6.4: 1 – 9
6.4: 11, 13, 15, 17, 19 WW # 6 Due, and HW # 6 Due (Wed)

7.1 : 11 – 27

#10 M 3/27
W 3/29

Th 3/30
F 3/31

7.1: Eigenvalues and Eigenvectors

7.2: Diagonalization

7.3: Symmetric Matrices

7.3: Orthogonal diagonalization

7.1 : 39 – 47
7.2: 1 – 19

7.2: 27, 29 WW # 7 Due HW # 7 Due (Fri)

7.3: 1 – 19

7.3: 23, 25, 39, 41, 45, 47, 49

#11 M 4/3

W 4/5
Fri 4/7

REVIEW FOR EXAM II EXAM II 6:30 - 8:30 PM

8.1: Complex Numbers

8.2, 8.3: Division of Complex Numbers

All covered material between 5.2 and 7.2

8.1: 27 – 39, 45 – 53
8.2: 1, 3, 7, 9, 15, 17, 31, 33, 35 ; 8.3: 1, 3, 5, 17, 19, 27, 31, 35, 37, 53, 55

#12

M 4/10

W 4/12

F 4/14

8.4: Complex Vector Spaces

No Class (Wed)

8.4: Complex vector spaces

8.4: 5, 7, 17, 19, 21, 29, 31

8.4: 53, 65, 67, 69

#13 M 4/17

W 4/19

F 4/21

No class on Monday

7.4: Application of eigenvectors (W)

8.5: Hermitian Matrices (F)

7.4: 17, 19, 25, 27, 29,31, 33 WW & HW # 8 Due ( Wed)

8.5: 1, 3, 31, 23, 25, 27

#14 M 4/24

W 4/26

TH 4/27

F 4/28

M 5/1, W 5/3

8.5: Hermitian Matrices

8.5: Unitary Matrices

NO CLASS

REVIEW SESSIONS

8.5: 33, 35, 37, 39, 41

8.5 : 7, 9, 11, 13, 15

HW # 9 & WW # 9 Due (Th)

M 5/8

FINAL EXAM 10:30am - 12:30pm