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21st July 2015, 03:05 PM
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Join Date: Apr 2013
Re: Graph Theory IITB

As you want I am here giving you list of topics covered in Graph Theory chapter of Engineering Mathematics subject of engineering course at Indian Institute of Technology Bombay (IITB) ?

Topics covered in Graph Theory chapter :
Graph Theory:
Connectivity;
spanning trees;
Cut vertices & edges;
covering; matching;
independent sets;
Colouring;
Planarity;
Isomorphism.

Complete syllabus of Engineering Mathematics subject

Mathematical Logic: Propositional Logic; First Order Logic.

Probability: Conditional Probability; Mean, Median, Mode and Standard Deviation; Random Variables; Distributions; uniform, normal, exponential, Poisson, Binomial.

Set Theory & Algebra: Sets; Relations; Functions; Groups; Partial Orders; Lattice; Boolean Algebra.

Combinatorics: Permutations; Combinations; Counting; Summation; generating functions; recurrence relations; asymptotics.

Graph Theory: Connectivity; spanning trees; Cut vertices & edges; covering; matching; independent sets; Colouring; Planarity; Isomorphism.

Linear Algebra: Algebra of matrices, determinants, systems of linear equations, Eigen values and Eigen vectors.

Numerical Methods: LU decomposition for systems of linear equations; numerical solutions of non-linear algebraic equations by Secant, Bisection and Newton-Raphson Methods; Numerical integration by trapezoidal and Simpson’s rules.

Calculus: Limit, Continuity & differentiability, Mean value Theorems, Theorems of integral calculus, evaluation of definite & improper integrals, Partial derivatives, Total derivatives, maxima & minima.

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