THE SYALLBUS CONTENTS
-First Year General: Course: Mathematics for business
Mathematical functions and its applications, matrices &
determinants and its applications, linear equations system and
its solution’s methods, linear programming and its
applications,
differentiation
and
its
applications,
differentiation and optimization problems, integration and its
applications, multi-integrations and its applications.
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-Second Year General: Course: Statistics
Introduction of descriptive statistics (definitions: population,
sample, collecting data, location measures, deviation measures,
index numbers of prices), introduction of probabilities
(probability, random variables, probability distributions,
expectation,
variance….),
some
discrete
probability
distribution (Binomial, Poisson…), some continuous
probability distributions (exponential, Normal, Student, Chisquare, Fisher…)
-Second Year General: Course: Mathematics for Investment
and Foreign Trade
Simple interest, bank discount, compound interest, ordinary
annuities, other annuities certain, amortization and sinking
funds, bonds, capital budgeting and depreciation.
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-Third Year: Course: Applied Statistics
Statistical samples (random sample, systematic sample…),
sampling probability distribution ration of two population’s
variance by using small and large samples, parametric tests of
hypotheses in single and multi-populations (mean, difference
means, proportion, difference proportions), non-parametric
tests (median, mean, difference means…), fitting curves,
goodness of fitting tests, regression analysis and correlation
(simple, multi, nonlinear), time series analysis.
-Third Year: Course: Insurance and its Mathematics
Risk, risk management, risk control, insurance, types of
insurance, insurance contracts, life insurance, life (or
mortality) tables, net annual premiums, gross premiums,
health insurance, fire insurance, managing automobile risks,
worker’s and unemployment compensation.
-Third year: Course: Statistical Mathematics (1)
Mathematical induction, some differential techniques, meanvalue theorem, approximation of functions (Taylor, Mac,etc),
multi-integration and its applications, numerical and analytical
techniques for solving nonlinear equations.
-Third year: Course: Demographic and Actuary Statistics:
Sources of demographic data and types of statistics,
demographic developing, techniques of demographically
analysis, projects, demographicevents (birth, death,) stationary
population. Introduction about actuary and its importance,
some estimation methods of age classes, some estimation
methods of death’s classes, life tables, insurance payments.
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-Third year: Course: Applied Statistics
Statistical samples (random sample, systematic sample…),
sampling probability distribution ration of two population’s
variance by using small and large samples, parametric tests of
hypotheses in single and multi-populations (mean, difference
means, proportion, difference proportions), non-parametric
tests (median, mean, difference means…), fitting curves,
goodness of fitting tests, regression analysis and correlation
(simple, multi, nonlinear), time series analysis.
-Third year: Course: Statistical Mathematics (2)
Linear transformation, differential equations (first degree and
first order), difference differential equations characteristic
roots & vectors of matrix, quadratic form, general inverse
matrix.
-Third year: Course: Simulation Systems
Definitions of simulation models, generating random number
method, simulation techniques, Mont-Carlo method, opposite
transform method, acceptance & rejected method (single &
multi-variables), generating discrete and continuous samples,
minimums methods of variance.
-Third year: Course: Insurance and its Mathematics
Risk, risk management, risk control, insurance, types of
insurance, insurance contracts, life insurance (or mortality)
tables, net annual premiums, gross premiums, health
insurance, fire insurance, managing automobile risks, worker’s
and unemployment compensation.
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-Fourth Year: Course: Marine and Aviation Insurance
Marine Insurance: The history and growth of marine
insurance (early forms of insurance – bottomry bond and
general average- Grecian commerce- Phoenicians and Romans
– the hanseatic league- insurance well established in fifteenth
century- marine insurance in England- marine insurance in
United Stares), contract of marine insurance (marine risksmarine losses- kinds of marine policies- disclosure and
representations), covered loses, exclude losses, total loss,
constructive total loss and abandonment, express and implicit
warranties
Aviation Insurance: History and growth of marine insurance,
the market of buyers of aviation insurance, physical damage
(the hull policy- perils covered- extent of coverage), aviation
liability, international conventions liability policies (public
liability- passenger liability- property damage), airport liability
policy and other liability policies, Hull insurance rates, liability
rates.
-Fourth year Course: Statistical samples
Introduction, design different types of samples, sampling
distribution, applications of samples (size, accuracy, .. etc).
- Fourth year: Course: Operations Research
Linear programming (formulation, graphical solution methods
and simplex method), dual problem, assemble problem,
transportation problem, multi-objective programming,
inventory models.
- Fourth year: Course: Stochastic Process
Introduction of stochastic process, transition matrix, Poisson,
Markov chain, probabilistic programming, Poisson queuing
models
- Fourth year: Course: Theory of Statistics (1)
Random transformation, probability distribution of random
function’s order statistics, estimation methods (Maximum like,
moments, boy`s, …etc)
- Fourth year: Course: Theory of Statistics (2)
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Random vector (expectation. .etc), multi-nominal probability
distribution, multi-normal probability distribution, parametric
and non-parametric test for above distributions.
- Fourth year: Course: Analysis of Quantitative data
Grouped tables (relationship between variables-tests of fitting),
statistical inference for grouped tables (large & small samples),
some statistical models (linear model- log model, ..etc),
likelihood equations and its solution’s methods.
- Fourth year: Course: Design Experiments
Definitions of design experiments, random experiments, some
linear models of complete random design, design of random
mass, factorial experiments, design of lateen square
(applications by using computer).
- Fourth year: Course: Econometric
Some economic models, estimation models (linear and
nonlinear), measuring problems in linear models (sequential
correlation of error- different variance, dummy variables, ..),
simultaneous equations, characterization problem, multiequation’s models and its solution’s methods.
-Fourth year: Course: Analysis of Multi-variables
Distributions
Introduction, basic factors analysis, factorial analysis,
measuring in multi-dimensions, characterization analysis of
cluster groups.
- Fourth year: Course: Statistical information systems
Introduction, recalling and keeping statistical information
basis of statistical information systems, concepts of database,
developing information and stages of analysis, design and
running statistical information systems.
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- Fourth year: Course: Computer Languages and Statistical
Packages
Introduction, Basic language: design -writing, running the
programs by basic language, Fortran language: designwriting, running the programs, applications by computer,
spss+Win
- Fourth year: Course: Statistical Lab
Design, running and apply the programs related by the
courses, apply the statistical programs.
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