MATH 337 HONORS Course Syllabus - SPRING 2012

NJIT Academic Integrity CODE:  All Students should be aware that the Department of Mathematical Sciences takes the University Code on Academic Integrity at NJIT very seriously and enforces it strictly.  This means that 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 University Code on Academic Integrity, students are obligated to report any such activities to the Instructor.

 

Math 337 H:  Honors Linear Algebra

 

Number of Credits:  3

 

Course Description:  Matrices, determinants, systems of linear equations, vector spaces, linear transformations, eigenvalues, eigenvectors, and related topics.

Prerequisites:  Grade of "B" or better in Math 112H or grade of "A" in Math 112.

 

Textbook:  Linear Algebra and Its Applications (4rd Updated Ed.), by David C. Lay; 2012, Addison-Wesley, ISBN: 9780321385178 

Instructor:   Prof. Petropoulos

 

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

Quizzes & Projects:

14%

2 Common Midterm Exams:

25% each

Final Exam:

36%


Your final letter grade will be based on the following tentative curve. This curve may be adjusted slightly at the end of the semester.  NOTE:  This course needs to be passed with a grade of C or better in order to proceed to Math 373, Math 391, Math 450H, Math 473, Math 475 or Math 477.

A

90-100

C

60-69

B+

85-89

D

50-59

B

75-84

F

0-49

C+

70-74

 

 

 

Drop Date:  Please note that the University Drop Date March 20, 2012 deadline will be strictly enforced.

Projects:  It is vital that you complete the required assignments by the specified dates.

Quiz Policy:  A short quiz based on the homework problems will be given.

Attendance: Students must attend all classes and recitations. Absences from class will inhibit your ability to fully participate in class discussions and problem solving sessions. Tardiness to class is very disruptive to the instructor and students and will not be tolerated. Students might be withdrawn from the class or receive an "F" because of absences. Attendance at all classes will be recorded and is mandatory. Please make sure you read and fully understand the Department’s Attendance Policy. This policy will be strictly enforced.

MATLAB:  MATLAB is a mathematical software program that is used throughout the science and engineering curricula. Several MATLAB assignments will be given out. These assignments have been designed to help you learn how to use this software in order to visualize many of the concepts taught in class.

Exams:  There will be two common midterm exams during the semester and one common final exam during the final exam week. Exams are held on the following days:

Exam 1:

February 15, 2012

Exam 2:

March 21, 2012

Final Exam Week:

May 3-9, 2012


Day sections will have common examinations on the above listed dates from 4:15pm to 5:40pm and evening sections from 5:45pm to 7:10pm. A comprehensive final examination will be given at the end of the semester. The date for this final examination will be announced at the end of the semester. Make sure you read and fully understand the department's Examination Policy. This policy will be strictly enforced. Please note that calculators, cellular phones, beepers, and all other electronic devices may not be used during any exam.

Makeup Exam Policy:  There will be No make-up 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 16, 2012

M

Dr. Martin Luther King, Jr. Day ~ University Closed

March 11-18, 2012

Su-Su

Spring Recess ~ No Classes Scheduled ~ University Open

March 20, 2012

T

Last Day to Withdraw from this course

April 6, 2012

F

Good Friday ~ University Closed

May 1, 2012

T

Classes follow a Friday Schedule, Last Day of Classes

May 2, 2012

W

Reading Day

May 3-9, 2012

R-W

Final Exams


 

Course Outline and Homework Assignments:

Lecture

Sections

Topic

Assignment

 

  1

1.1

Systems of Linear Equations

2, 4, 10, 15, 18, 24, 29

 

2

1.2

Row Reduction and Echelon Forms

2, 4, 8, 11, 13, 18, 20

 

3

1.3

1.4

Vector Equations

Matrix Equations

2, 5, 9, 11, 13, 17, 24

2,4,5,9,17

 

4

1.5

Solutions of Linear Systems

1,4,6,8,11,15,23

 

5

1.6

1.7

Application to Chemistry

Linear Independence

7,9

1,4,6,7,14,16,31

 

6

1.8

Introduction to Linear Transformations

2,4,7,9,13,15

 

7

1.9

Matrix of a Linear Transformation

5,7,10,15,18,22

 

8

2.1

Matrix Operations

4,7,9,16,23

 

9

2.2

Inverse of a Matrix

3,6,9,26,29,32

 

10

2.3

Invertible Matrices

2,6,9,11,13,14,41

 

11

2.5

LU Factorization

2,4,5,8,11,15,17

 

12

 

REVIEW FOR COMMON EXAM #1

STUDY FOR EXAM

 

MIDTERM EXAM 1:WEDNESDAY~ FABRUARY 15, 2012

 

13

2.7

3.1

Applications to Computer Graphics

Introduction to Determinants

1,2,5

3,8,9,12,22,24,25,28

 

14

3.2

3.3

Properties of Determinants

Cramer’s Rule

1,4,6,9,21,22,25,26

2,5,8,11,16

 

15

4.1

Vector Spaces and Subspaces

8,24,30,38

 

16

4.2

Null and Column Spaces, Linear Maps

2,4,14,20,24

 

17

4.3

Linear Independent Sets and Bases

4,5,10,14,15,21

 

18

4.5

Dimension of a Vector Space

2,4,6,9,13,15,18

 

LAST DAY TO WITHDRAW: MARCH 20, 2012

 

19

4.6

Rank

1,2,5,9,13,17,18

 

20

5.1

Eigenvalues and Eigenvectors

3,7,9,13,15,17,20

 

21

 

REVIEW FOR COMMON EXAM #2

STUDY FOR EXAM

 

MIDTERM EXAM II ~WEDNESDAY, MARCH 21, 2012

 

22

5.2

The Characteristic Equation

4,7,9,13,15,16,20,21

 

23

5.3

Diagonalization

Complex Eigenvalues

2,4,6,7,8,12,17,21

4,5,13,14

 

24

6.1

Inner Product, Length, and Othogonality

1,8,10,12,14,15,16,20

 

25

6.2

6.4

Orthogonal Sets

Gram-Schmidt Process

1,4,8,12,16,1720,23

1,4,8,9,12

 

26

6.7

Inner Product Space

1,2,4,6,8

 

27

7.1

Diagonalization of Symmetric Matrices

1-6,7-10,14,17,22,26

 

28

7.2

Quadratic Forms

2,5,7,10,13,21

 

29

 

REVIEW FOR FINAL EXAM

STUDY FOR FINAL EXAM

 

 

READING DAY

 

 

FINAL EXAM WEEK: MAY 3-9, 2012

 

 

 

Prepared By:  Prof. Peter Petropoulos

Last revised:  January 11, 2012  

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