Dynamic fuzzy logic4/6/2024 Inner product space and orthonormal bases. Probability spaces conditional probability and independence random variables and probability distributions marginal and conditional distributions independent random variables mathematical expectation mean and variance binomial, Poisson and normal distributions sum of independent random variables law of large numbers central limit theorem (without proof) sampling distribution and test for mean using normal and student's t distribution test of hypothesis correlation and linear regression.Įigen-values and eigen-vectors. Vector space basis and dimension linear transformation range and kernel of a linear transformation row reduction method and its application to linear system of equations. Vector calculus in Rn vector analysis theorems of Green, Gauss and StokesĬomplex numbers, analytic functions, Cauchy's theorems elementary functions series expansions calculus of residues and applications. Conics polar coordinates convergence of sequences and series. Students in this programme will be expected to complete the following courses, normally over a period of eight semesters (4 years):įunctions and graphs limit and continuity applications of derivative and integral.
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