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Math 630: Linear Algebra and Applications
Spring 2018 Graduate Course Syllabus

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.

Course Information

Course Description: (This course is not intended for students in the Master's in Applied Mathematics program or in the doctoral program in Mathematical Sciences.) Development of the concepts needed to study applications of linear algebra and matrix theory to science and engineering. Topics include linear systems of equations, matrix algebra, orthogonality, eigenvalues and eigenvectors, diagonalization, and matrix decomposition.

Number of Credits: 3

Prerequisites: MATH 211 or MATH 213, and MATH 222.

Course-Section and Instructors

Course-Section Instructor
Math 630-102 Professor E. Ammicht

Office Hours for All Math Instructors: Spring 2018 Office Hours and Emails

Required Textbooks:

Title Linear Algebra and Its Applications
Author Strang
Edition 4th
Publisher Brooks Cole
ISBN # 0-030105676
ExtraInfo

University-wide Withdrawal Date:The last day to withdraw with a w is Monday, April 2, 2018. It will be strictly enforced.

Policies

DMS Course Policies: 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.

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

Homework and Quizzes 20%
Projects 20%
Midterm Exam 25%
Final Exam 35%

Your final letter grade will be based on the following tentative curve.

A 86 - 100 C+ 64 - 69
B+ 80 - 85 C 50 - 63
B 70 - 79 F 0 - 49

Attendance Policy: Attendance at all classes will be recorded and is mandatory. Please make sure you read and fully understand the Math Department’s Attendance Policy. This policy will be strictly enforced.

Homework and Projects Policy: Short homework will be assigned each week. Homework, projects and other take-home assignments should represent your individual effort; no collective group work is allowed. Under the Honor Code, students are obligated to report any instances of plagiarism (for instance, copying of homework), to the Instructor.

Exams: There will be one midterm exam held in class during the semester and one comprehensive final exam. Exams are held on the following days:

Midterm Exam February 26, 2018
Final Exam Period May 4 - 10, 2018

The final exam will test your knowledge of all the course material taught in the entire course. Make sure you read and fully understand the Math Department's Examination Policy. This policy will be strictly enforced.

Makeup Exam Policy: To properly report your absence from a midterm or final exam, please review and follow the required steps under the DMS Examination Policy found here:

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

Additional Resources

Accommodation of Disabilities: Disability Support Services (DSS) offers long term and temporary accommodations for undergraduate, graduate and visiting students at NJIT.

If you are in need of accommodations due to a disability please contact Chantonette Lyles, Associate Director of Disability Support Services at 973-596-5417 or via email at lyles@njit.edu. The office is located in Fenster Hall, Room 260.  A Letter of Accommodation Eligibility from the Disability Support Services office authorizing your accommodations will be required.

For further information regarding self identification, the submission of medical documentation and additional support services provided please visit the Disability Support Services (DSS) website at:

Important Dates (See: Spring 2018 Academic Calendar, Registrar)

Date Day Event
January 16, 2018 T First Day of Classes
January 22, 2018 M Last Day to Add/Drop Classes
March 11 - 18, 2018 Su - Su Spring Recess - No Classes/ University Closed
March 30, 2018 F Good Friday - No Classes/ University Closed
April 2, 2018 M Last Day to Withdraw
May 1, 2018 T Friday Classes Meet - Last Day of Classes
May 2 - 3, 2018 W - R Reading Days
May 4 - 10, 2018 F - R Final Exam Period

Course Outline

Dates Lecture + Sections Chapter + Pages Topic & Assignment
1/22/2018 1 & 2 SECTIONS CHAPTER 1 Matrices and Gaussian  Elimination
1/29/2018   1.1: Page: 1-3
1.2: Page: 3-11 Problems: 1, 3, 5, 8, 9
1.3: Page: 11-19 Problems: 13, 25, 30
1.4: Page: 19-32 Problems: 1, 3, 5, 7, 12-15, 18, 21
1.5: Page: 32-45 Problems: 4-6, 15, 18, 19
1.6: Page: 45-58 Problems: 1, 3, 6, 8, 13, 15, 19
1.7: Page: 58-64 Problems: 3-5, 10
R1: Page: 65-67 Problems: 1, 4, 10, 13, 17, 19, 28
2/5/2018 3 & 4 SECTIONS CHAPTER 2 Vector Spaces
2/12/2018   2.1: Page: 69-77 Problems: 1-3, 5-9
2.2: Page: 77-91 Problems: 1-7
2.3: Page: 92-102 Problems: 1-3, 11, 27, 30, 33, 37
2.4: Page: 102-114 Problems: 2-4, 10, 13, 15, 18
2.5: Page: 114-124 Problems: 1-5
2.6: Page: 125-137 Problems: 1-3, 7-9
R2: Page: 137-140 Problems: 1, 4-7, 9, 11, 14, 21, 28, 29, 32, 33
2/19/2018 5 └► REVIEW FOR  MIDTERM EXAM
2/26/2018 6 └► MIDTERM EXAMINATION
2/26/2018 6 & 7 SECTIONS CHAPTER 3 Orthogonality
3/5/2018   3.1: Page: 141-152 Problems: 1-6, 8-10, 12, 14
3.2: Page: 152-160 Problems: 3-5, 7, 8, 11
3.3: Page: 160-174 Problems: 1, 3, 7, 12, 13, 17
3.4: Page: 174-188 Problems: 1-6, 8, 13, 16, 17
R3: Page: 198-200 Problems: 1, 3, 4, 14, 20, 28, 33
3/19/2018 8 SECTIONS CHAPTER 4 Determinants
4.1: Page: 201-203
4.2: Page: 203-210 Problems: 1, 4, 7, 10, 12, 13, 16-18
4.3: Page: 210-220 Problems: 1, 2, 17, 20
4.4: Page: 220-229 Problems: 2, 3, 5, 6, 9, 10
R4: Page: 230-231 Problems: 1, 2, 6, 11, 15
3/26/2018 9 & 10 SECTIONS CHAPTER 5 Eigenvalues and Eigenvectors
4/2/2018   5.1: Page: 233-244 Problems: 1, 2, 5, 7, 8, 10, 14
5.2: Page: 245-254 Problems: 1-3, 5-8, 10, 13
5.3: Page: 254-266 Problems: 3, 8, 9, 12
5.4: Page: 266-280 Problems: 1-3, 8-10, 15, 20
5.5: Page: 280-292 Problems: 1-2, 6-8, 11, 20-22
5.6: Page: 293-306 Problems: 1, 2, 5, 8, 13, 16, 25
R5:   Page: 307-309   Problems: 1, 3, 8, 20
4/9/2018 11 & 12 SECTIONS CHAPTER 6 Positive Definite Matrices
4/16/2018   6.1: Page: 311-317 Problems: 1, 2, 4, 5, 7, 9
6.2: Page: 318-330 Problems: 2, 4-6, 8, 10-14
6.3: Page: 331-338 Problems: 1, 3, 15, 17
4/23/2018 13 SECTIONS CHAPTER 7 Computations with Matrices
7.1: Page: 351-357
7.2: Page: 357-359 Problems: 1, 4, 11
7.3: Page: 359-367 Problems: 1, 7, 9, 11
7.4: Page: 367-375 Problems: 1, 2, 7
4/30/2018 14 REVIEW FOR FINAL EXAM
5/8/2018   FINAL EXAM WEEK:  MAY 4 - 10, 2018

Updated by Professor E. Ammicht - 1/18/2018
Department of Mathematical Sciences Course Syllabus, Spring 2018