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.
Number of Credits: 3
Course Description: This course provides an introduction to computational linear algebra. Topics include direct solution of linear systems, iterative methods for linear systems, fast Fourier transforms, least squares problems, singular value decomposition and eigenvalue/eigenvector problems
Prerequisites: Math 337 with a grade of C or better and CS 113 with a grade of C or better or CS 115 with a grade of C or better or CS 101 with a grade of C or better.
Textbook: Numerical Linear Algebra and Applications, 2nd Edition, B. N. Datta
Instructor: (for specific course-related information, follow the link below)
Math 391-001 |
Grading Policy: The final grade in this course will be determined as follows:
▪ Homework: |
20% |
▪ 2 Common Midterm Exams: |
25% each |
▪ Final Exam: |
30% |
Your final letter grade will be based on the
following tentative curve. This curve may be adjusted slightly at the end of the semester.
A |
90-100 |
C |
73-63 |
B+ |
85-89 |
D |
55-64 |
B |
80-84 |
F |
0-54 |
C+ |
75-79 |
|
|
Drop Date: Please note that the University Drop Date November 6, 2012 deadline will be strictly enforced.
Homework: Homework assignments will be posted ON moodle. There will be regular homework assignments from the text and computing assignments using MATLAB. It is advisable that students familiarize themselves with MATLAB as early as possible. Several MATLAB resources are listed on p. 78 of the text. There will be MATLAB TAs who can assist with assignments. Times for MATLAB help will be announced shortly after the beginning of the semester
Examinations:
Before of the nature of the course, exams may partially or
fully consist of computational assignments.
Exam 1: |
October 12, 2012 |
Exam 2: |
November 16, 2012 |
Final Exam Week: |
December 14-20, 2012 |
Makeup Exam Policy: There will be No make-up QUIZZES OR 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.
M |
Labor Day ~ No classes |
|
T |
Last Day to Withdraw from this course |
|
T |
Classes follow a Thursday Schedule |
|
W |
Classes follow a Friday Schedule |
|
R-Su |
Thanksgiving Recess |
|
R |
Reading Day |
|
F- R |
Final Exams |
Course Outline and Homework Assignments:
Lecture |
Sections |
Topic |
Assignment |
1-2 |
2.1-2.5 |
Linear Algebra Review |
To
be posted on the web weekly. |
3-4 |
3.1-3.8 |
Floating Point Numbers –
Computation Errors |
|
5-6 |
4.1-4.3, 4.6-4.7 |
Efficiency; Stability –
Perturbation Analysis for Linear Systems |
|
7-9 |
5.1-5.4 |
Solving Linear Systems with
Gaussian Elimination; LU Factorization |
|
10-11 |
|
Review
and Midterm Exam I |
|
12-15 |
6.1-6.8, 6.11-6.12 |
Linear Systems – numerical
solutions |
|
16-19 |
7.1-7.8 |
Decompositions: QR, SVD;
Projections |
|
20-21 |
|
Review
and Midterm Exam I |
|
22-24 |
8.2-8.8 |
Solving Systems with Least
Squares |
|
25-27 |
9.1-9.2, 9.4-9.6 |
Calculating Eigenvalues and
Eignvectors |
|
28 |
|
Review |
|
Prepared By: Prof. Eliza Michalopoulou
Last revised: June 21, 2012