COURSE OUTLINE

INTRODUCTION : SELF• Name : UMAR FAROOQ

• Date of birth : 1951

• Previous Service : PAF:- from 19th Dec,1976 to 19th Dec2004

• Date of joining NUST : 20th Dec2004

• Expected date of Retirement from NUST : 31st Mar 2016

• Qualification : M Sc (Mathematics),1975

• University attended : Quaid-e-Azam, Islamabad

NUMERICAL METHODS

DETAILS ABOUT THE COURSE Course Code : MATH-352 Course Name : Numerical Methods Pre Requisite : Linear Algebra ,ODE & calculus,

Basic Techniques of Programming Credit Hours : 2+1 Text Book : Numerical Methods UsingMATLAB (Fourth Edition) by John H Mathews Ref. Book : Numerical Methods for Engineers by

Steven C Chapra Instructor : Umar Farooq / Lab Eng Mr.

Hammad

COURSE DESCRIPTION

To enable the students appreciate the significance of Numerical Methods for solving engineering problems.

COURSE LEARNING OUTCOMES:CLOs

CLO-1: Apply the concept of approximation for solving linear and non-linear equations.

CLO-2 : Implement interpolation techniques for different types of data.

CLO-3 : Use the numerical techniques to solve integrals and ODE.

BRIEF COURSE CONTENTSSr.No. WEEK TOPIC CLO

1 1,2 Introduction, Floating Point Number System, Error analysis

2 3,4 Solutions of Non-Linear Equations, using Bisection, Regula-Falsi, Newton Raphson methods

1

3 5,6 Iterative methods for solving Systems of Equations 1

4 7,8 Lagrange and Newton’s Interpolation 2

5 9,10 Curve Fitting 2

6 11,12 Numerical Differentiation 3

7 13,14 Numerical Integration. 3

8 15,16 Solution of ODEs 3

SystemPoint Floating

SOLUTON OF NONLINEAR EQUATION

Copyright

© 2006 Brooks/Cole, a division of Thomson Learning, Inc.

SOLUTION OF SYSTEM OF EQUATIONS

Copyright

© 2006 Brooks/Cole, a division of Thomson Learning, Inc.

INTERPOLATION

Copyright

© 2006 Brooks/Cole, a division of Thomson Learning, Inc.

CURVE FITTING

Copyright

© 2006 Brooks/Cole, a division of Thomson Learning, Inc.

AREA UNDER A CURVE INTEGRATION

Copyright

© 2006 Brooks/Cole, a division of Thomson Learning, Inc.

SOLUTION OF ODE

Copyright

© 2006 Brooks/Cole, a division of Thomson Learning, Inc.

QUAID’S ADVICE TO STUDENTS• Your main occupation should be, in fairness to yourselves,

in fairness to your parents, and indeed in fairness to the State, to devote your attention solely to your studies. It is only thus that you can equip yourselves for the battle of life that lies ahead of you. Only thus will you be an asset and a source of strength and of pride to your State. Only thus can you assist it in solving the great social and economic problems that confront it and enable it to reach its destined goal among most progressive and strongest nations of the world.

• -Excerpt from Quaid’s Convocation Address at Dacca University

• March 24, 1948