Syllabus for SPPUCSD Entrance Examination
PUNE University MCA Syllabus 2017
The Entrance Examination consists of multiple choice (objective type) questions and covers the areas of logical reasoning, mathematics, general aptitude and the English language.
Logical reasoning and mathematics syllabus
- 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.
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