Spring 2012 Course
Syllabus: Math
340002
Course
Title: 
Applied Numerical Methods 
Textbook: 
Elementary Numerical Analysis (3^{rd}
Ed) K. Atkinson & W. Han, J Weiley and Sons (2003) ISBN10:
0471433373; ISBN13: 9780471433378 
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 (119) 
1.11.2 
Taylor Polynomial, Errors in Taylor Polynomials 
2 (123) 
1.21.3 
Evaluating Polynomials 
3 (125) 
2.1 
Floating Point Numbers 
4 (130) 
2.2 
Errors 
5 (22) 
2.32.4 
Errors (Continued) 
6 (26) 
3.13.2 
Root Finding: Bisection Method and Newton’s Method 
7 (29) 
3.3 
Secant method 
8 (212) 
3.4 
Fixed Point Iteration 
9 (216) 
3.5 
Illbehaved Rootfinding Problems 
10 (220) 
Exam Review 

11 (223) 
Midterm
Examination 

12 (227) 
4.1 
Interpolation: Polynomial Interpolation 
13 (31) 
4.2 
Polynomial Interpolation 
14 (35) 
4.3 
Spline Interpolation 
15 (38) 
5.1 
Numerical Integration: Trapezoidal & Simpson’s Rule 
March 1118
Spring Break 

16 (319) 
5.2 
Error Formulas 
17 (322) 
5.3 
Gaussian Quadrature 
18 (326) 
5.4 
Numerical Differentiation 
19 (329) 
Chapter 6 
Linear Algebra 
20 (42) 
Exam Review 

21 (45) 
Midterm
Examination 

22 (49) 
8.1 
Review of Ordinary Differential Equations 
23 (412) 
8.2 
Euler’s Method 
24 (416) 
8.3 
Convergence Theory 
25 (419) 
8.4 
Stability & Implicit methods 
26 (423) 
8.5 
Taylor and RungeKutta Methods 
27 (426) 
8.7 
Systems of Differential Equations 
28 (430) 
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 39, 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