MATH 282 - Numerical Analysis

Credit: (324)

Semester : 2024 - 2025 Spring

Instructor: Assoc. Prof. Dr. Özlem DEFTERLİ

Office Hours: Monday 11:20-12:10 & Tuesday 11:20-12:10 (R220)

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:  Midterm 30%, LAB Quizzes & HWs 20%, Final 50%

Attendance: A minimum % of 50 participation in all classes through the semester is an eligibility criterion to attend the Final Examination!! This criterion is valid for the students taking the course newly, and who failed earlier with the NA grade.

Exam Dates: TBA

Midterm : 09.04.2025 Wednesday at 15:20

Content: In Textbook: Ch 1 Preliminaries ( 1.1-1.3), Ch2 Root Finding Methods ( 2.1-2.5), Ch3 Interpolation by Polynomials(3.1 Lagrange Interpolation)

FINAL : 

Content: