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Faculty of Science Handbook, Academic Session 2025/2026
SIM3012 hash functions. Quantum cryptography.
REAL ANALYSIS Applications of cryptography.
Infinite series, convergence. Tests of Assessment:
convergence. Absolute and conditional Continuous Assessment: 40%
convergence. Rearrangement of series. Summative Assessment: 60%
Pointwise and uniform convergence.
Properties of uniform convergence. SIM3023
Superior limit and inferior limit. Power NUMERICAL METHODS AND ANALYSIS
series, radius of convergence. Taylor series.
Riemann integral. Integrable functions. Approximation methods: discrete, linear
Properties of the Riemann integral. and nonlinear least square, orthogonal
Integration in relation to differentiation. polynomial, Chebyshev polynomial, Gram-
Differentiation of integrals. Improper Schmidt process.
integrals. Sequences and series of
functions. Eigenvalue problem: Gershgorin circle,
power method, Householder’s methods,
Assessment: QR algorithm.
Continuous Assessment: 40%
Summative Assessment: 60% Initial value problems of ordinary
differential equations: Euler, high order
SIM3020 Taylor, Runge-Kutta and multistep
INDUSTRIAL TRAINING methods. Analysis of convergence, stability
and error control.
Candidates are required to spend a
minimum of 16 weeks working with Assessment:
selected companies in selected areas of Continuous Assessment: 40%
industry. Summative Assessment: 60%
Assessment: SIM3024
Continuous Assessment:100% COMPUTATIONAL GEOMETRY
SIM3021 Vector algebra, introduction to differential
MATHEMATICAL SCIENCE PROJECT geometry, design surfaces for Bezier
surfaces, triangular Bezier surfaces, B-
Subject to supervising lecturer. spline rational Bezier and Coons surfaces.
Assessment: Assessment:
Continuous Assessment:100% Continuous Assessment: 40%
Summative Assessment: 60%
SIM3022
CRYPTOGRAPHY
Basic concept of cryptography, data
security, complexity theory and number
theory. Encryption algorithms, secret key
cryptography, public key cryptography,
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