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MATH 340 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 340: Applied Numerical Methods
Number of Credits: 3
Course Description: An iIntroduction to numerical methods with emphasis on mathematical models. Implements and investigates numerical techniques for the solution of linear and nonlinear systems of equations, eigenvalue problems, interpolation and approximation, techniques of optimization, Monte Carlo methods, and applications to ordinary differential equations and integration. Effective From: Spring 2009
Textbook: Elementary Numerical Analysis (3rd ed.), Kendall Atkinson & Weimin Han (John Wiley & Sons)..
Prerequisites: Math 211 with a grade of C or better or Math 213 with a grade of C or better, and CS 101 with a grade of C or better or CS 113 with a grade of C or better or CS 115 with a grade of C or better or Math 240 with a grade of C or better
Instructor: (for specific course-related information, follow the link below)
|
Math 340-002 |
Grading Policy: The final grade in this course will be determined as follows:
|
▪ Quizzes, Homework & Labwork: |
30% |
|
▪ 2 Midterm Exams: |
20% each |
|
▪ Final Exam: |
30% |
Drop Date:
PPlease note that the University Drop Date
March 26, 2013
deadline will be strictly enforced./p>
Homework Policy:
It is vital that you complete and turn in all the homework assignments on time. The homework assignments will be
assigned in class.
Attendance:
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.
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.
Dr. Martin Luther King, Jr. Day
~
University Closed
Spring Recess
~
No Classes Scheduled ~ University Open
Last Day to Withdraw
from
this course
Good Friday
~ University Closed
Classes follow a
Friday
Schedule,
Last Day
of Classes
Reading Day
Final Exams
M
Su-Su
T
F
T
W
T-W
Course Outline and Homework Assignments:
|
Week
Dates |
Section |
Topic of the Class |
|
|
||
|
Week 1 |
1.1-1.2 |
Taylor
Polynomial, Errors in Taylor Polynomials |
|
1.2-1.3 |
Evaluating
Polynomials |
|
|
Week 2 |
▪ |
LAB: |
|
2.1-2.2 |
Floating
Point Numbers |
|
|
2.3-2.4 |
Errors |
|
|
Week 3 |
▪ |
LAB: |
|
3.1 |
Root Finding: Bisection
Method |
|
|
3.2-3.3 |
Newton’s
Method, Secant Method |
|
|
Week 4 |
▪ |
LAB: |
|
3.4-3.5 |
Fixed Point
Iteration |
|
|
3.4-3.5 |
Ill-behaved
Rootfinding Problems |
|
|
Week 5 |
└► |
REVIEW FOR Midterm EXAM |
|
└► |
MIDTERM EXAM I: |
|
|
4.1 |
Interpolation:
Polynomial
Interpolation |
|
|
Week 6 |
▪ |
LAB: |
|
4.2 |
Polynomial
Interpolation |
|
|
4.3 |
Spline
Interpolation |
|
|
Week 7 |
▪ |
LAB: |
|
5.1 |
Numerical
Integration:
Trapezoidal &
Simpson’s Rule |
|
|
5.2 |
Error
Formulas |
|
|
Week 8 |
▪ |
LAB: |
|
5.2 |
Error
Formulas |
|
|
5.3 |
Gaussian
Quadrature |
|
|
Week 10 |
▪ |
LAB: |
|
5.4 |
Numerical
Differentiation |
|
|
5.4 |
Numerical
Differentiation |
|
|
Week 11 |
└► |
|
|
└► |
REVIEW FOR Midterm EXAM |
|
|
└► |
MIDTERM EXAM II: |
|
|
8.1-8.2 |
Review of
ODE, Ordinary Differential Equations: Euler’s Method |
|
|
Week 12 |
▪ |
LAB: |
|
8.3 |
Euler’s
Method |
|
|
8.3-8.4 |
Stability &
Implicit methods |
|
|
Week 13 |
▪ |
LAB: |
|
8.4-8.5 |
Taylor and
Runge-Kutta Methods |
|
|
8.7 |
Systems of
Differential Equations |
|
|
Week 14 |
▪ |
LAB: |
|
Ch.6 |
Linear Algebra |
|
|
Ch.6 |
Eigenvalue Problems |
|
|
Week 15 |
▪ |
LAB: |
|
Ch.6 |
Non-linear Systems |
|
|
└► |
REVIEW FOR Midterm EXAM |
|
|
Week 16 |
▪ |
LAB: |
|
└► |
REVIEW FOR Midterm EXAM |
|
|
└► |
|
|
|
└► |
|
|
|
|
||
|
Finals |
Final EXAM WEEK: DECEMBER 14-20, 2012 |
|
Prepared By: Prof. Yassine Boubendir
Last revised: January 14, 2013