MCB1008 Numerical Methods

Content MATHEMATICAL PRELIMINARIES and ERROR ANALYSIS
Review of Calculus
Roundoff Errors and Computer Arithmetic
SOLUTIONS OF EQUATIONS IN ONE VARIABLE
The Bisection Method
Fixed-Point Iteration
The Newton's Method
The Secant Method
The Method of False Position
Error Analysis for Iterative Methods
INTERPOLATION AND POLYNOMIAL APPROXIMATION
Interpolation and the Lagrange Polynomial
Data Approximation and Neville's Method
Divided Differences
Forward, Backward and Centered Differences
NUMERICAL DIFFERENTIATION AND INTEGRATION
Numerical Differentiation
Richardson's Extrapolation
Elements of Numerical Integration, the Trapezoidal and Simpson's Rule
Newton-cotes Formulas
Composite Numerical Integration
2011
First Midterm Questions - Solutions
Second Midterm Questions
Final Exam Questions
2012
First Midterm Questions - Solutions
Second Midterm Questions - Solutions
Final Exam Questions - Solutions