The detailed information about the Entrance Examination date and other necessary details will be posted on http://cs.unipune.ac.in

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**Syllabus for MSc(CS) at
Department of Computer Science, SP Pune University**

__Section I : Logical Reasoning and Mathematics __

1. Set theory: Set operations, relations, functions.

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

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

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

5. Trigonometry: Identities, computation of heights and lengths.

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

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

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

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

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

11. Permutations and Combinations.

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

__Section II : Fundamentals of
Programming__

Algorithms & Flowchart, and Functions