# Math 309 SPRING 2017

## 1. Section Information

Section

Time

Location

Instructor

email

Office Hours

1

MWF 10 - 11  AM

Brown  100

Jack Shapiro

M, W : 3 – 4pm

T, Th : 9:30 – 10: 30am

Cupples I ,  107B

## 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

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

.

 Exam Date Location Time E1 February 22nd 6:30 – 8:30 PM E2 April  3rd 6:30 - 8:30 PM Final Exam May 8th 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 4.7:  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 . 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 7.2:  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