Spring 2012 Course Syllabus:  Math 340-002

 

Course Title:

Applied Numerical Methods

Textbook:

Elementary Numerical Analysis (3rd Ed) K. Atkinson & W. Han, J Weiley and Sons (2003) ISBN-10: 0471433373; ISBN-13: 978-0471433378

Prerequisites:

(Math 211 or Math 213) and (CS 101, CS 113, CS 115 or Math 240) with a grade of C or higher

Website:

http://web.njit.edu/~matveev/Courses/M340_S12/

 

 

Course Outline

Lecture

Sections

Topic

1 (1-19)

1.1-1.2

Taylor Polynomial, Errors in Taylor Polynomials

2 (1-23)

1.2-1.3

Evaluating Polynomials

3 (1-25)

2.1

Floating Point Numbers

4 (1-30)

2.2

Errors

5 (2-2)

2.3-2.4

Errors (Continued)

6 (2-6)

3.1-3.2

Root Finding: Bisection Method and Newton’s Method

7 (2-9)

3.3

Secant method

8 (2-12)

3.4

Fixed Point Iteration

9 (2-16)

3.5

Ill-behaved Rootfinding Problems

10 (2-20)

Exam Review

11 (2-23)

Midterm Examination

12 (2-27)

4.1

Interpolation: Polynomial Interpolation

13 (3-1)

4.2

Polynomial Interpolation

14 (3-5)

4.3

Spline Interpolation

15 (3-8)

5.1

Numerical Integration: Trapezoidal & Simpson’s Rule

March 11-18 Spring Break

16 (3-19)

5.2

Error Formulas

17 (3-22)

5.3

Gaussian Quadrature

18 (3-26)

5.4

Numerical Differentiation

19 (3-29)

Chapter 6

Linear Algebra

20 (4-2)

Exam Review

21 (4-5)

Midterm Examination

22 (4-9)

8.1

Review of Ordinary Differential Equations

23 (4-12)

8.2

Euler’s Method

24 (4-16)

8.3

Convergence Theory

25 (4-19)

8.4

Stability & Implicit methods

26 (4-23)

8.5

Taylor and Runge-Kutta Methods

27 (4-26)

8.7

Systems of Differential Equations

28 (4-30)

Final Exam Review

 

 

IMPORTANT DATES

FIRST DAY OF SEMESTER

January 17, 2012

MIDTERM EXAMS

February 23, April 5

LAST DAY TO WITHDRAW

March 20, 2012

LAST DAY OF CLASSES

May 1, 2012

FINAL EXAM PERIOD

May 3-9, 2012

 

Grading Policy

 

Assignment Weighting

 

Tentative Grading Scale

HW & Quizzes

18 %

 

A

88 -- 100

Midterm exams

18 % each

 

B+

82 -- 87

Lab Projects

18 %

 

B

75 – 81

Final Exam

28 %

 

C+

68 – 74

 

C

62 – 67

 

D

55 – 61

F

0 – 54

 

Course Policies

 

Email: it is important that you regularly check your NJIT email account for class assignments and announcements from your instructor. Rutgers students should email the instructor their preferred email address at the start of the semester.

 

Homework and Quizzes: Homework problem sets will be emailed by the instructor after each class. Homework is due on the assigned date; late homework is not accepted. Quizzes are given about once per week on an announced topic.

 

MATLAB Laboratory Assignments: these assignments will be sent each week few days before the Lab class.

 

Attendance: attendance in this class is mandatory. Students accumulating more than three absences will have their grade reduced.

 

­Important Departmental and University Policies