Numerical Methods CEN 205


Syllabus

Systems of linear algebraic equations; interpolation and curve fitting; roots of equations; numerical differentiation; numerical integration; initial value problems; two-point boundary value problems; finite differences.

Lecture Slides


Ch. 1 Roots of Equation
1.1Bisection Method View
1.2False Position Method View
1.3Fixed Point Iteration Method View
1.4Newton's Method View
Ch. 2 System of Linear Equations
2.1Gauss Jordan Method View
2.2Gauss Seidel Method View
Ch. 3 Integration and Differentiation
3.1Numeric Integration View
3.2Numeric Differentiation View
Ch. 4 Interpolation
4.1Lagrange Interp. and Newtons's Divided Difference View
4.2Inverse Interp. and Multidimensional Interp. View
Ch. 5 Curve Fitting
5.1Linear and Power Function View
5.2Quadratic and Expotential Function View
Ch. 6 Differential Equations
6.1Euler method and Modified Euler Method View
6.2Runge Kutta (RK4) Method View
6.3System of ODE View
6.4Boundary Value Problems View

Prerequisites

N/A

Grading Policy

Activities Percentage Remarks
Mid Term Exam 30% Answer 3 questions out of 4
Quiz 20% Best 2 out of 3
Assignment 10% All of 2 out of 2
Final Exam 30% Answer 3 questions out of 4
Attendance 10% Less than 50% will obtain zero marks

Class Times

There are 2 sessions per week, 1 hour on each session.

Readings

  • Chapra and Canale, Numerical Methods for Engineers, 7e, Mc-Graw Hill Education.