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MATH 340 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.
Math 340-004: Applied Numerical Methods
SPRING 2010
Textbook: Elementary Numerical Analysis (3rd ed.), Kendall Atkinson & Weimin Han (John Wiley & Sons)..
Prerequisites: Math 211 or Math 213 with a grade of C or better, and CS 101, CS 113, CS 115, or Math 240 with a grade of C or better.
Grading Policy: The final grade in this course will be determined as follows:
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▪ Quizzes, Homework & Labwork: |
30% |
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▪ 2 Midterm Exams: |
20% each |
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▪ Final Exam: |
30% |
Drop Date: Please note that the University Drop Date March 29, 2010 deadline will be strictly enforced.
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.
| M |
Dr. Martin Luther King, Jr. Day ~ University Closed |
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| M-Su |
Spring Recess ~ No Classes Scheduled ~ University Open |
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| M |
Last Day to Withdraw from this course |
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| F |
Good Friday ~ University Closed |
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| T |
Classes follow a Friday Schedule, Last Day of Classes |
Course Outline and Homework Assignments:
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Week |
Section |
Topic of the Class |
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Week
1 |
Dr. Martin Luther King, Jr. DAY ~ UNIVERSITY CLOSED |
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1.1-1.2 |
Taylor Polynomial, Errors in Taylor Polynomials |
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1.2-1.3 |
Evaluating Polynomials |
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Week
2 |
▪ |
LAB: |
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2.1-2.2 |
Floating Point Numbers |
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2.3-2.4 |
Errors |
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Week 3 |
▪ |
LAB: |
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3.1 |
Root Finding: Bisection Method |
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3.2-3.3 |
Newton’s Method, Secant Method |
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Week 4 |
▪ |
LAB: |
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3.4-3.5 |
Fixed Point Iteration |
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3.4-3.5 |
Ill-behaved Rootfinding Problems |
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Week 5 |
└► |
REVIEW FOR Midterm EXAM |
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└► |
MIDTERM EXAM I: February 18, 2010 |
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4.1 |
Interpolation: Polynomial Interpolation |
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Week 6 |
▪ |
LAB: |
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4.2 |
Polynomial Interpolation |
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4.3 |
Spline Interpolation |
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Week 7 |
▪ |
LAB: |
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5.1 |
Numerical Integration: Trapezoidal & Simpson’s Rule |
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5.2 |
Error Formulas |
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Week 8 |
▪ |
LAB: |
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5.2 |
Error Formulas |
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5.3 |
Gaussian Quadrature |
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Week 9 |
└► |
SPRING RECESS: MARCH 15-21, 2010 |
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Week 10 |
▪ |
LAB: |
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5.4 |
Numerical Differentiation |
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5.4 |
Numerical Differentiation |
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└► |
Last Day to Withdraw from this course |
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└► |
REVIEW FOR Midterm EXAM |
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└► |
MIDTERM EXAM II: April 1, 2010 |
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8.1-8.2 |
Review of ODE, Ordinary Differential Equations: Euler’s Method |
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Week 12 |
▪ |
LAB: |
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8.3 |
Euler’s Method |
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8.3-8.4 |
Stability & Implicit methods |
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Week 13 |
▪ |
LAB: |
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8.4-8.5 |
Taylor and Runge-Kutta Methods |
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8.7 |
Systems of Differential Equations |
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Week 14 |
▪ |
LAB: |
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Ch.6 |
Linear Algebra |
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Ch.6 |
Eigenvalue Problems |
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Week 15 |
▪ |
LAB: |
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Ch.6 |
Non-linear Systems |
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└► |
REVIEW FOR Midterm EXAM |
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Week 16 |
▪ |
LAB: |
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└► |
REVIEW FOR Midterm EXAM |
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Finals |
Final EXAM WEEK: May 6-12, 2010 |
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Prepared By: Prof. Yassine Boubendir
Last revised: January 4, 2010