MAT2204: Numerical Analysis I

The course is about Interpolation, finite differences, numerical integration and differentiation and numerical solution of non-linear equations and systems of linear equations. Topics covered include: Errors and their propagation; Lagrange Interpolating Polynomials; Numerical Differentiation; Numerical Integration; Solutions of Nonlinear Equations; and Systems of Linear Equations.

Course Objectives  
On successful completion of this course unit, the learners should be able to: 

• Recognize and solve real world problems that may require application of numerical analysis. 
• Calculate errors in different mathematical arithmetic 
• Interpolate using Lagrange, finite differences and divided differences. Differentiate and integrate using simple numerical techniques
• Solve non-linear equations using common numerical techniques
• Solve systems of linear equations using Jacobi and Gauss- Seidel 
• Check convergence of iterative schemes using convergence theorems. 

Expected Learning Outcomes
By the end of this course the student should be able to: 

• To discuss the basic competence in the concepts, principles, and procedures differential equations and their applications to mathematical modeling and computation. 
• To encourage orderliness, speed and accuracy in the presentation of mathematical expressions in differential calculus. 
• To help learners acquire the skills of expression in proper mathematical language and using mathematical symbols correctly. 
• To provide instruction that contributes to the learners’ abilities to think critically and solve real life problems, to reason mathematically and apply computational skills. 
• To build a strong foundation in mathematical presentation as preparation for subsequent courses in applied mathematics and biomathematics.