Page 162 - FINAL_HANDBOOK_20242025

Faculty of Science Handbook, Academic Session 2024/2025

Calculus of residues; SIM3020
calculation of definite integrals. INDUSTRIAL TRAINING
Residue Theory. Evaluation of
certain integrals. Argument Candidates are required to
principle, Rouche’s Theorem. spend a minimum of 16 weeks
Maximum modulus principle. working with selected
Conformal mappings. companies in selected areas of
industry.
Assessment:
Continuous Assessment: 40% Assessment:
Final Examination: 60% Continuous Assessment:100%

SIM3012 SIM3021
REAL ANALYSIS MATHEMATICAL SCIENCE
PROJECT
Infinite series, convergence.
Tests of convergence. Subject to supervising lecturer.
Absolute and conditional
convergence. Rearrangement Assessment:
of series. Pointwise and Continuous Assessment:100%
uniform convergence. SIM3022
Properties of uniform CRYPTOGRAPHY
convergence. Superior limit
and inferior limit. Power series, Basic concept of cryptography,
radius of convergence. Taylor data security, complexity
series. Riemann integral. theory and number theory.
Integrable functions. Properties Encryption algorithms, secret
of the Riemann integral. key cryptography, public key
Integration in relation to cryptography, hash functions.
differentiation. Differentiation of Quantum cryptography.
integrals. Improper integrals. Applications of cryptography.
Sequences and series of
functions. Assessment:
Continuous Assessment: 40%
Assessment: Final Examination: 60%
Continuous Assessment: 40%
Final Examination: 60%

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