UNIVERSITY OF PUNE

• Set theory: Set operations, relations, functions.

• Propositional logic: Formulation, deduction, evaluation, puzzles.

• Linear Algebra: Solution of a system of linear equations. Determinant and inverse of a matrix, basic properties of matrices.

• Co-ordinate Geometry and Conic Sections: Equations of lines and planes, vector products; definitions and properties of conic sections.

• Trigonometry: Identities, computation of heights and lengths.

• Differential Calculus: Total and partial differentiation, limit of a function.

• Integral Calculus: Definite and indefinite integrals, solution of differential equations, computation of areas and volumes.

• Series and sequences: sum, mean, convergence, limit.

• Real and complex numbers: surds, solution of equations on complex domain.

• Polynomials: solution of quadratic equations, properties of roots of polynomials with real coefficients, binomial expansion, Taylor series.

• Permutations and Combinations.

• Elementary Probability Theory: Computing probability from combinatorial reasoning, conditional probability.

Note :-
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