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Level: First Year Semester Two

The course describes numerical methods as techniques to approximate mathematical procedure. In this course, focus is put on numerical methods for mathematical procedures and topics.

Specific topics include; Finite Representations of Real Numbers, Floating-Point Numbers; Floating-Point Representation Theorem; Fundamental Axiom of Floating-Point Arithmetic; Error Analysis Differentiation, Nonlinear Equations, Simultaneous Linear Equations, Interpolation, Integration, Ordinary Differential Equations. Calculation of errors and their relationship to the accuracy of the numerical solutions is emphasized throughout the course.