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Faculty of Science Handbook, Academic Session 2025/2026
System of linear equations. Matrix SIM2013
factorization, LU factorization. INTRODUCTION TO COMBINATORICS
Assessment: Ordered and equivalence relations,
Continuous Assessment: 40% binomial and multinomial theorems,
Summative Assessment: 60% recurrence relations, principle of inclusion
and exclusion, generating functions, Latin
SIM2011 squares, magic squares, basic properties of
STRUCTURED PROGRAMMING graphs, circuits and cycles in graphs, trees
and their applications.
Algorithms: structured programming –
sequence, decision statement and loops. Assessment:
Object-oriented design. Continuous Assessment: 40%
Summative Assessment: 60%
Programming: fundamental data types –
int, double, char. Operators, precedence SIM2014
order. Pre-processor directives. In-built ALGEBRA I
functions. User-defined functions – pass by
value and reference. One- and two- Group Theory - abstract groups, subgroups,
dimensional arrays. cyclic and dihedral groups; order of an
element and of a group, Lagrange’s
Introduction to user-defined data types – theorem; cosets, normal subgroups and
structures and classes. quotient groups; group homomorphisms.
Applications of numerical methods: integer Ring Theory – rings, integral domains and
and floating point arithmetic, root finding, fields; subrings, ideals and quotient rings;
solutions of ordinary differential equations. ring homomorphisms; polynomial rings, the
Use of random number generator. division algorithm and Euclidean algorithm
in polynomial rings.
Assessment:
Continuous Assessment: 50% Assessment:
Summative Assessment: 50% Continuous Assessment: 40%
Summative Assessment: 60%
SIM2012
BASIC OPERATIONS RESEARCH SIM2015
INTRODUCTION TO ANALYSIS
Introduction to the problems in operations
research, modelling, formulation and Sequences. Topology of the real line.
examples. Linear programming, Compactness. Properties of continuous
transportation and assignment problems. functions. Uniform continuity. Derivative of
Integer programming, game theory and a function. Properties of differentiable
dynamic programming. functions. Mean Value Theorems. Higher
order derivatives. L’Hôpital’s rule.
Assessment:
Continuous Assessment: 40% Assessment:
Summative Assessment: 60% Continuous Assessment: 40%
Summative Assessment: 60%
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