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MATH 614 Course Syllabus
- spring 2013
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 614-002: Numerical Methods I
Textbook: An Introduction to Numerical Analysis, Second Edition by Kendall E. Atkinson, John Wiley & Sons; ISBN: 0-471-62489-6.
References:
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Numerical Recipes in Fortran 77: The Art of Scientific Computing By William H. Press, Brian P. Flannery, Saul A. Teukolsky, and William T. Vetterling;
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Numerical Linear Algebra By Lloyd N. Trefethen and David Bau III;
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Applied Numerical Linear Algebra By James W. Demmel;
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Matrix Computations By Gene H. Golub and Charles F. Van Loan;
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Introduction to Numerical Analysis By J. Stoer, R. Bulirsch, R. Bartels, and W. Gautschi;
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A First Course in the Numerical Analysis of Differential Equations By Arieh Iserles;
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Analysis of Numerical Methods By Eugene Isaacson and Herbert Bishop Keller.
Prerequisites: Math 222, Math 337, Math 340, and proficiency in a computer language (FORTRAN, MATLAB, C, or C++), or departmental approval.
Grading Policy: The final grade in this course will be determined as follows:
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▪ Homework & Projects: |
40% |
|
▪ Midterm Exam: |
30% |
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▪ Final Exam: |
30% |
Drop Date: Please note that the University Drop Date March 26, 2013 deadline will be strictly enforced.
Homework Policy: Homework assignments/projects will be given frequently; some will involve writing computer programs in a computer language such as C, FORTRAN, or Matlab. Each assignment must be handed in at the beginning of class. Late assignments are NOT accepted. As a standing assignment, you should always read the relevant sections of the textbook prior to lecture..
Examinations: There will be a midterm examination and a final examination. The midterm examination will occur before the "drop'' deadline. The final examination date, time, and location will be determined by the university.
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Midterm Exam I: |
March 2013 |
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Final Exam Week: |
May 9-15, 2013 |
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 |
Dr. Martin Luther King, Jr. Day ~ University Closed |
|
| Su-Su |
Spring Recess ~ No Classes Scheduled ~ University Open |
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| T |
Last Day to Withdraw from this course |
|
| F |
Good Friday ~ University Closed |
|
| T |
Classes follow a Friday Schedule, Last Day of Classes |
|
| W |
Reading Day |
|
| T-W |
Final Exams |
Course Outline:
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Week |
Chapter |
Topic of the Class |
|
|
||
|
Week 1 |
Chapter
1:
|
Taylor
Theorem and Errors |
|
Week 2 |
Chapter
2:
|
Rootfinding
for Nonlinear Equations |
|
Week 3 |
Chapters
|
Interpolation
Theory and Approximation of Functions |
|
Week 4 |
Chapters
|
Interpolation
Theory and Approximation of Functions (cont.) |
|
Week 5 |
Chapters
|
Interpolation
Theory and Approximation of Functions (cont.) |
|
Week 6 |
Chapter
5:
|
Numerical
Integration |
|
Week 7 |
Chapter
5:
|
Numerical
Integration (cont.) |
|
Week 8 |
└► |
REVIEW FOR Midterm EXAM |
|
└► |
MIDTERM EXAM: March 2013 |
|
|
Week 9 |
└► |
SPRING RECESS: MARCH 17-24, 2013 |
|
|
└► |
Last Day to
Withdraw from this course
3/26 |
|
Week 10 |
Chapter
6:
|
Numerical ODE |
|
Week 11 |
Chapter
6:
|
Numerical ODE
(cont.) |
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Week 12 |
Chapter
6:
|
Numerical ODE
(cont.) |
|
Week 13 |
Chapters
|
Numerical
Linear Algebra |
|
Week 14 |
Chapters
|
Numerical
Linear Algebra (cont.) |
|
Week 15 |
Chapters
|
Numerical
Linear Algebra (cont.) |
|
Week 16 |
└► |
REVIEW FOR Midterm EXAM |
|
└► |
TUES.
MAY 7 FOLLOWS A FRIDAY SCHEDULE |
|
|
└► |
5/8 READING DAY
|
|
|
|
||
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Finals |
Final EXAM WEEK: May 9-15, 2013 |
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Prepared By: Prof. Catalin Turk
Last revised: January 8 2013