Page 156 - FINAL_HANDBOOK_20242025

Faculty of Science Handbook, Academic Session 2024/2025

Assessment: SIM2011
Continuous Assessment:100% STRUCTURED
PROGRAMMING

SIM2010 Algorithms: Structured
NUMERICAL COMPUTATION programming – sequence,
decision statement and loops.
Computer arithmetic: floating- Object-oriented design.
point numbers, round-off error,
machine precision, Programming: fundamental
overflow/underflow, numerical data types – int, double, char.
cancellation, truncation error. Operators, precedence order.
Pre-processor directives. In-
Taylor polynomials and limits. built functions. User-defined
functions – pass by value and
Interpolation: Lagrange reference. One- and two-
interpolation, divided difference dimensional arrays.
method, Hermite interpolation,
cubic spline interpolation. Introduction to user-defined
data types – structures and
Roots of nonlinear equation: classes.
bisection method, fixed-point
iteration, Newton–Raphson Applications of numerical
method, secant method. methods: integer and floating
point arithmetic, root finding,
Numerical differentiation: solutions of ordinary differential
Forward, backward and central equations. Use of random
finite difference methods. number generator.

Numerical Integration: Assessment:
trapezoidal, Simpson’s, Continuous Assessment: 50%
Romberg’s methods. Final Examination: 50%
Composite methods.

System of linear equations. SIM2012
Matrix factorization, LU BASIC OPERATIONS
factorization. RESEARCH

Assessment: Introduction to the problems in
Continuous Assessment: 40% operations research,
Final Examination: 60% modelling, formulation and
examples. Linear
programming, transportation

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