NJIT HONOR CODE

All Students should be aware that the Department of Mathematical Sciences takes the NJIT Honor code very seriously and enforces it strictly.  This means there must not be any forms of plagiarism, i.e., copying of homework, class projects, or lab assignments, or any form of cheating in quizzes and exams.  Under the Honor Code, students are obligated to report any such activities to the Instructor.

 

Mathematics 337-006:

Linear Algebra

SPRING 2008

Course Schedule Link

 

 

     Instructor:  Prof. Jiang

     Textbook:  Introduction to Linear Algebra (3rd Ed.), by Gilbert Strang, Publisher: Wellesley-Cambridge Press, ISBN: 0-9614088-9-8.

     Grading Policy:  The final grade in this course will be determined as follows:

      Homework +Quizzes:

 

22%

      Two Common Exams:

 

22% each

      Final Exam:

 

34%

Please note that the University Drop Date March 31, 2008 deadline will be strictly enforced.

 

     Homework & Quiz Policy:  Working problems is fundamental to learning mathematics.   Assignments will be collected frequently—generally at the beginning of each lecture.  Work submitted must be presented orderly and checked carefully.  Homework and quiz grades will be normalized at the end of the semester to assure fairness among the various sections of the course.

     MATLAB: MATLAB is popular mathematical software that is used throughout the science and engineering curriculum. It is available at NJIT PC Labs as well as other sources. There will be several assignments using MATLAB to help you learn how to use this software and understand the course material better. These assignments must be done independently according to the instructions included in the assignment and in accordance with the NJIT Honor Code.

     Computation:  Problem solving in linear algebra often requires the application of complex algorithms that involve a significant amount of arithmetic.   To be successful in this course you will need to balance your study efforts between understanding the theory and practicing the algorithms.  Understanding and checking computations is a basic theme of this course.  Partial credit will generally be awarded when it is earned.  However, arithmetic errors that should have been caught by checking your work will generally result in a substantial deduction.  Checking your work is part of doing a problem--especially on exams.

     Exams:  All sections of Math 337 will take two common midterm exams during the semester and one common final exam during the final exam week. Midterm exams are held on Wednesdays on the following days:

Exam 1

February 20, 2008

Exam 2

March 26, 2008

The time of the midterm exams is 4:15-5:40 pm for daytime students and 5:45-7:10 pm for evening students. The final exam will test your knowledge of all the course material taught in the entire course. The final exam will be scheduled during the exam period. Make sure you read and fully understand the department's Examination Policy. This policy will be strictly enforced.

     Makeup Exam Policy:  There will be no makeup exams during the semester. In the event the Final Exam is not taken, under rare circumstances where the student has a legitimate reason for missing the final exam, a makeup exam will be administered by the math department. In any case the student must notify the Math Department Office and the Instructor that the exam will be missed and present written verifiable proof of the reason for missing the exam, e.g., a doctors note, police report, court notice, etc., clearly stating the date and time of the mitigating problem.

     Further Assistance:  For further questions, students should contact their instructor. All instructors have regular office hours during the week. These office hours are listed at the link above by clicking on the Instructor’s name. Teaching Assistants are also available in the math learning center.

     Cellular Phones:  All cellular phones and beepers must be switched off during all class times.

 

 

 

 

 

 

MATH DEPARTMENT CLASS POLICIES LINK

All DMS students must familiarize themselves with and adhere to the Department of Mathematical Sciences Course Policies, in addition to official university-wide policies. DMS takes these policies very seriously and enforces them strictly. For DMS Course Policies, please click here.

 

January 21, 2008

M

Dr. Martin Luther King Jr. Holiday ~ University Closed

March 17-21, 2008

M-F

SPRING RECESS ~ No Classes Scheduled

March 21, 2008

F

Good Friday ~ University Closed

March 31, 2008

M

Last Day to WITHDRAW from this Course

 

Course Outline and Homework Assignments:

 

Week
Dates

Section & Topic

Homework Assignments

 

 

 

 

 

 

1
 1/22 - 1/25

1.1:

1.2:

Vectors and Linear Combinations

Lengths and Dot Products

1

p.7:

p.17:

1,3,7,11,16-19,26;

1,2,4,5,8,10,11,20,25,29

2.1:

Vectors and Linear Equations

2

p.30:

1,2,10,11,15,16

2
 1/28 – 2/1

2.2:

The Idea of Elimination

3

p.41:

1,3,4,5,6,7,8,9,11,13,18,21

2.3:

Elimination Using Matrices

4

p.53:

3,4,12,14,18,24,25,26,27

3
 2/4 – 2/8

2.4:

Rules for Matrix Operations

5

p.65:

1,2,3,4,5,6,12,13,17,23,,30,36

2.5:

Inverse Matrices

6

p.78:

1,4,6,7,10,11,12,13,18,25,27,28,29

4
 2/11 – 2/15

2.6:

Elimination = Factorization: A=LU

7

p.91:

1,2,3,4,5,6,7,8,10,11,12,,15,16

2.7:

Transposes and Permutations

8

p.104:

1,2,4,5,9,11,15,17,19,20,22,23

5
 2/18 – 2/22

       

Review for Exam I

9

       

Study for EXAM I

Ü

MIDTERM Exam 1:

Wednesday ~ FEBRUARY 20, 2008

3.1:

Spaces of Vectors

10

p.118:

1,2,3,4,11,14,19,20,22,23

þ

GO OVER EXAM I

 

 

 

6
 2/25 – 2/29

3.2:

The Nullspace of A: Solving Ax=0

11

p.130:

1,2,3,4,9,14,17,18,21,23,24,30ab

3.3:

The Rank and the Row Reduced Form

12

p.141:

1,3,6,7,8,9,12,15,21,26

7
 3/3 – 3/7

3.4:

The Complete Solution to Ax=b

13

p.152:

1,3,4,5,7,8,10,18,22,23,24,31,32

3.5:

Independence, Basis and Dimension

14

p.167:

1,2,3,4,5,9,10,13,17abc,27

8
 3/10 – 3/14

3.6:

Dimensions of the Four Spaces

15

p.180:

1,2,3,5,6,7,13,14,18,20,27

4.1:

Orthogonality of the Four Spaces

16

p.191:

3,4,5,11,17,19,20,22,25,29

 

 

 

 

 

 

9
 3/17 – 3/21

       

MARCH 17-21, 2008:   (M-F)   SPRING RECESS: NO CLASSES SCHEDULED

 

 

 

 

 

 

10
 3/24 – 3/28

       

Review for Exam II

17

       

Study for EXAM II

Ü

MIDTERM Exam 2:

Wednesday ~ March 26, 2008

4.2:

Projections

18

p.202:

1,3,5,11,13,16,19,21,22

þ

GO OVER EXAM II

 

 

 

11
 3/31 – 4/4

       

MARCH 31, 2008:    (M)    LAST DAY TO WITHDRAW FROM THIS COURSE

4.3:

Least Squares Approximation

19

p.215:

1,2,3,5,6,7,17,18,19,20,22

4.4:

Orthogonal Bases and Gram-Schmidt

20

p.228:

1,2,3,5,11,15,16,17,21,22,24,31,32

12
 4/7 – 4/11

5.1:

The Properties of Determinants

21

p.240:

1,2,3,7,13,14,15,16,22,27,34

       

Notes: Complex Numbers

22

       

From Handout

13
 4/14 – 4/18

6.1:

Introduction to Eigenvalues

23

p.283:

2,3,4,5,6,7,8,9,14,18,20,21,22,24,30

6.2:

Diagonalizing a Matrix

24

p.298:

1,2,3,4,5,15,16,17,18

14
 4/21 – 4/25

6.3:

Applications of Diagonalization

25

p.299:

9,10,11,12,13,19,20,24,25,26

6.4:

Symmetric Matrices

26

p.326:

2,3,4,5,6,11,19,25

15
 4/28 – 5/2

16
 5/5

6.5:

Positive Definite Matrices

27

p.339:

1,2,3,6,7,8,15,16,20

       

Review for Final Exam

28

       

Study for FINAL EXAM

 

 

 

 

 

 

Finals

FINAL EXAM WEEK:  MAY 8 - 14, 2008

 

Prepared By:  Prof. Shidong Jiang

Last revised:  January 7, 2008