Topics : Module 1 { Set theory, Relation, Function, Propositional calculus, Predicate calculus }; Module 2 { Combinatorics, Mathematical induction, Recurrence relation, Counting, Matrix algebra }; Module 3 { Boolean algebra, Order relations & lattices, Fibonacci numbers, Group }; Module 4 { Introduction, Basic concepts, Directed graphs, Connectivity and paths, Trees, Cut-sets, Cut-vertices and matching, Colouring of graphs, Planar graphs, Matrices and vector spaces of graphs, Networks, Special graphs, Select graph algorithms }; Module 5 { Algebra of events, Combinatorial analysis, Probability models, Basic concepts, Random variables, Discrete distributions, Continuous distributions, Joint probability distributions, Properties of expectations, Limit theorems, Queuing theory }; Module 6 { Revisions, Functions and graphs, Limits, Continuity, Differentiation, Applications of derivatives, Indefinite integrals, Definite integrals, Applications of integration }

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Dr. Animesh Adhikari

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