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P. 158

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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