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Faculty of Science Handbook, Academic Session 2024/2025
the complex exponential Assessment:
function, complex logarithms, Continuous Assessment: 40%
complex exponents, Final Examination: 60%
trigonometry functions.
Complex integrals, contour
integrals, the Cauchy-Goursat SIM2019
theorem, the fundamental SYSTEMS OF ORDINARY
theorems of integration, DIFFERENTIAL EQUATIONS
Cauchy’s integral formula,
Cauchy’s integral formula for Linear systems of first-order
derivatives and Morera’s equations. Homogeneous
theorem. linear systems.
Nonhomogeneous linear
Assessment: systems.
Continuous Assessment: 40%
Final Examination: 60% Nonlinear autonomous
systems. Stability. Locally
linear systems. Liapunov’s
SIM2017 method. Applications
GEOMETRY
Assessment:
Euclidean Geometry, Continuous Assessment: 40%
congruence, parallelism, Final Examination: 60%
similarity, isometry, Incidence
geometry of the hyperbolic
plane, motions of the sphere. SIM2020
MANAGEMENT
Assessment: MATHEMATICS
Continuous Assessment: 40%
Final Examination: 60% Output function: Theory and
some concepts. Break-even
model. Maximum profit for
SIM2018 monopoly and oligopoly
PARTIAL DIFFERENTIAL markets. Inventory model.
EQUATIONS EOQ Model, reordering point,
finite input rate, shortage and
Fourier series, introduction to discount quantity. Probabilistic
partial differential equations, model, safety stock and
method of characteristics, efficiency level.
separation of variables,
Laplace transform method. Assessment:
Continuous Assessment: 40%
Final Examination: 60%
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