Page 157 - FINAL_HANDBOOK_20242025

Faculty of Science Handbook, Academic Session 2024/2025

and assignment problems. domains and fields; subrings,
Integer programming, game ideals and quotient rings; ring
theory and dynamic homomorphisms; polynomial
programming. rings, the Division algorithm
and Euclidean algorithm in
Assessment: polynomial rings.
Continuous Assessment: 40%
Final Examination: 60% Assessment:
Continuous Assessment: 40%
Final Examination: 60%
SIM2013
INTRODUCTION TO
COMBINATORICS SIM2015
INTRODUCTION TO
Ordered and equivalence ANALYSIS
relations, binomial and
multinomial theorems, Sequences. Topology of the
recurrence relations, principle real line. Compactness.
of inclusion and exclusion, Properties of continuous
generating functions, Latin functions. Uniform continuity.
squares, magic squares, basic Derivative of a function.
properties of graphs, circuits Properties of differentiable
and cycles in graphs, trees and functions. Mean Value
their applications. Theorems. Higher order
derivatives. L’Hospital’s Rules.
Assessment:
Continuous Assessment: 40% Assessment:
Final Examination: 60% Continuous Assessment: 40%
Final Examination: 60%

SIM2014
ALGEBRA I SIM2016
COMPLEX VARIABLES
Group Theory - abstract
groups, subgroups, cyclic and Complex numbers, complex
dihedral groups; order of an functions, limits, continuity.
element and of a subgroup, Differentiable and analytic
Lagrange’s theorem; cosets, functions, Cauchy-Riemann
normal subgroups and factor equations, harmonic functions.
groups; group Sequences and series of
homomorphisms. complex numbers,
convergence tests, power
Ring Theory – rings, integral series. Elementary functions:

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