what is in Cucet mca entrance Syllabus?

CUCET (Central Universities Common Entrance Test) MCA (Master of Computer Applications) syllabus -

Basic Mathematics -

• Set theory: Venn diagram, set operations, mathematical induction, functions and relations
• Algebra and linear algebra: Theory of equations, complex numbers, matrices and determinants
• Real and complex analysis: Basics of limit, continuity, differentiation, integration, elementary differential equations, series and sequences and their convergence, Analytic functions, Cauchy-Riemann equations, complex integration, Cauchy's theorem and formula, power series and their convergence, Taylor and Laurent series, beta and gamma functions, Laplace and Fourier transforms
• Combinatorics: Sum and product rules, permutation, combination, recurrence relations, pigeon-hole principle, principle of inclusion and exclusion
• Probability and statistics: Mean, median, mode, basic notion of probability, expectation, variance and standard deviation, discrete and continuous probability distributions, binomial, Poisson and normal distributions, conditional probability and Bayes theorem

Digital Logic -

• Switching theory: Boolean algebra, logic gates, and switching functions, truth tables and switching expressions, minimization of switching functions, Karnaugh map
• Combinational logic circuits: Realization of Boolean functions using gates and multiplexers
• Sequential m/c model: Flip-flops, basic design of counters

Basics of Programming -

• The student should be familiar with the basic concepts of programming and should be able to write programs involving the following concepts in any one of the following languages: C, C++ or Java.
• Conditional constructs, iteration (loops), function or method call, recursion, recursive decomposition of a problem.
• Basic notions of space and time complexity
• Parameter passing mechanism, scope, binding
• Arrays, lists, stacks, queues, binary tree, binary search tree
• Basics of searching and sorting
• Graph and its representation

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