CMPE 360 NUMERICAL METHODS

(Summer '96)

Instructor: H. Levent AKIN

Phone: + 90 (212) 263 15 00 Ext:1769
E-mail:akin@dec001.cmpe.boun.edu.tr
Office: ET 308

Assistant: Taylan Cemgil

Phone: +90 (212) 263 15 00 Ext: 2183

E-mail:cemgil@boun.edu.tr
Office ET 203

Lecture Hours: M W TH 3 4 (ETB 508)

Prerequisite: Math 252

Course Mailing List

E-mail:cmpe360@dec001.cmpe.boun.edu.tr

Catalog Data

Topics:

Introduction,

Floating Point Numbers,
Accuracy, Stability

Interpolation and approximation of functions:

Taylor and Lagrange polynomials,
Newton interpolating polynomial,
Hermite interpolation,
Cubic splines

Solution of equations in one variable:

Bisection method,
Newton's method,
Secant and false position methods,
Fixed point iteration,
Roots of polynomials

Differentiation:

Taylor series,
Richardson extrapolation,
Using the interpolation polynomial

Integration:

Lower and upper sums,
Trapezoidal rule,
Romberg algorithm,
Simpson's rule,
Gaussian quadrature

Linear Algebra:

Solution of systems of linear equations
Matrix multiplication,
Matrix inverse,
Determinants
Eigenvalues

Ordinary differential equations Initial value problems:

Taylor series methods,
Runge-Kutta methods,
Stiff Differential Equations

Text Book:

Shoichiro Nakamura, Applied Numerical Methods In C, 1/e, Prentice Hall, 1993

Worksheets

(Note: These are Word 6.0 files!)

Programming Projects

(Note: These are Word 6.0 files!)

Project1
Project2
Project3

Course Requirements:

Quizzes (15 % Total)
3 Programming Assignments (in Matlab) (25 % Total)
Midterm (30 %) (Date: July 15, 1996 Monday)
Final Exam (30 %) (Date: August 8, 1996 Thursday, 9:00)

Course Related Web Sites:

Last Modifed August 1, 1996.