MAT3103: Numerical Analysis II

The course is applied mathematics course covering topics needed for analysis of physical, life and social science disciplines. The topics covered include: Interpolation and Polynomial Approximation; Numerical Differentiation and Integration; Approximation THEORY ; and Numerical Solutions to PDEs 

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

• Apply orthogonal functions in quadrature rules 
• Apply the list squares approximation on discrete and continuous data. iii. Apply Numerical techniques to solve ordinary differential equations. 
• Solve partial differential equation –Hyperbolic, Elliptic and Parabolic using finite differences. 

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 numerical 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.