Page 161 - FINAL_HANDBOOK_20252026

Faculty of Science Handbook, Academic Session 2025/2026

SIM2016 SIM2019
COMPLEX VARIABLES SYSTEMS OF ORDINARY DIFFERENTIAL
EQUATIONS
Complex numbers, complex functions,
limits, continuity. Differentiable and Linear systems of first-order equations.
analytic functions, Cauchy-Riemann Homogeneous linear systems.
equations, harmonic functions. Sequences Nonhomogeneous linear systems.
and series of complex numbers,
convergence tests, power series. Nonlinear autonomous systems. Stability.
Elementary functions: the complex Locally linear systems. Liapunov’s method.
exponential function, complex logarithms, Applications
complex exponents, trigonometry
functions. Complex integrals, contour Assessment:
integrals, the Cauchy-Goursat theorem, the Continuous Assessment: 40%
fundamental theorems of integration, Summative Assessment: 60%
Cauchy’s integral formula, Cauchy’s integral
formula for derivatives and Morera’s SIM2020
theorem. MANAGEMENT MATHEMATICS

Assessment: Output function: Theory and some
Continuous Assessment: 40% concepts. Break-even model. Maximum
Summative Assessment: 60% profit for monopoly and oligopoly markets.
Inventory model. EOQ Model, reordering
SIM2017 point, finite input rate, shortage and
GEOMETRY discount quantity. Probabilistic model,
safety stock and efficiency level.
Euclidean geometry, congruence,
parallelism, similarity, isometry, Incidence Assessment:
geometry of the hyperbolic plane, motions Continuous Assessment: 40%
of the sphere. Summative Assessment: 60%

Assessment: SIM2021
Continuous Assessment: 40% OPTIMIZATION TECHNIQUES
Summative Assessment: 60%
Unconstraint optimization, necessary and
SIM2018 sufficient conditions for an extremum
PARTIAL DIFFERENTIAL EQUATIONS point. Constraint optimization. Type of
constraint. A variation of techniques for
Fourier series, introduction to partial solving nonlinear problems.
differential equations, method of
characteristics, separation of variables, Assessment:
Laplace transform method. Continuous Assessment: 40%
Summative Assessment: 60%
Assessment:
Continuous Assessment: 40%
Summative Assessment: 60%

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