MAT 103 – Numerical Analysis I

Approximation, Computation, Modelling & Scientific Problem Solving

Course Description

This course introduces students to numerical techniques for solving mathematical problems that cannot be solved analytically. It covers error analysis, root finding, interpolation, numerical integration, and solving systems of linear equations. Students also use MATLAB and MAPLE for computation.

6 Topics

Complete Numerical Analysis modules

15 Weeks

Lectures + Seminars + Labs

Assessment

Test + Assignment + Final Exam

Software

MATLAB / MAPLE

Learning Outcomes

Knowledge

Understand numerical methods, errors, convergence and approximation.

Skills

Apply root-finding, interpolation, integration and matrix methods.

Computing

Use MATLAB or MAPLE to solve practical numerical problems.

Course Topics

Topic I

Basic Concepts

PDF Notes

Topic II

Errors in Numerical Computation

PDF Notes

Topic III

Solutions of Nonlinear Equations

PDF Notes

Topic IV

Polynomial Interpolation

Module

Topic V

Numerical Integration

Module

Topic VI

Systems of Linear Equations

Module

Assessment

Reading List

Interactive Teaching Plan