MATH 282 - Numerical Analysis

Credit: (324)

Semester : 2023 - 2024 Spring

Instructor :  Assoc. Prof. Dr. Ozlem DEFTERLI 

Office :  R220 - Central Campus     E-mail :   defterli@cankaya.edu.tr

Office Hours :  Monday 11.20 - 12:10, Wednesday 10:20-11:10

Prerequisite:  None. However, the student should have good knowledge of calculus and linear algebra. 

Catalog Description: Roundoff errors, algorithms and convergence, bisection method, fixed point iteration, Newton's method, error analysis, accelerating convergence. Interpolation and Lagrange polynomial, divided differences. Cubic splines. Numerical differentiation, Richardson's extrapolation. Numerical integration, trapezoid, Simpson's and Boole's rules. Romberg integration, adaptive quadrature. Gaussian quadrature. Multiple integrals.

Textbook:  Numerical Analysis, R. L. Burden, J. D. Faires 7th edition, Brooks/Cole, 2001

Reference Books:  Numerical Analysis, D. Kincaid and W. Cheney. 3rd edition, Thomson Learning, 2002

Evaluation Criteria: %35 Midterm, %15 LAB & HW & Attendance, %50 Final.  Attendance is compulsory!

Midterm : 05.04.2024 Friday, 09:20 M-101

Content: Ch1 (Computer arithmetic, error, convergence): 1.1-1.3; Ch2 (Solutions of Eqns in One Variable(Root Finding)): 2.1-2.4. Ch3 (Interpolation and Polynomial Approximation): 3.1 only.

FINAL : TBA

Content:  Ch3 (Interpolation and Polynomial Approximation): 3.1-3.4; Ch4 (Numerical Differentiation and Integration): 4.1, 4.2, 4.3, 4.4, 4.7)