**ABOUT VITMEE**

In the post-graduation programme MCA students are allowed to pursue the course of VIT. The entry into these programmes occurs successfully getting through the **VITMEE** examination conducted every year.

**Programmes offered **

- Vellore Campus – Master of Computer Applications – 2 year (4 Semester)
- Chennai Campus – Master of Computer Applications – 2 year (4 Semester)
- VIT Bhopal – Master of Computer Applications – 2 year (4 Semester)

**ELIGIBILITY **

Recognized Bachelor’s Degree of Minimum 3 years duration in BCA, B.Sc. (IT/Computer Science) with Mathematics as a course at 10+2 level or at Graduate Level. Obtained at least 60% or 1^{st} class at the qualifying Examination.

__Note:__ Candidates appearing for their final degree exam / final semester exam in the current year are also eligible to apply.

**Pattern of the Question Paper **

The computer-based test (CBT) objective question Paper consists of 100 questions with a maximum of 100 marks among which 80 will be from (Mathematics and Computers) and 20 will be from English communication. NO negative marks for wrong answers.

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**SYLLABUS **

**MATHEMATICS: **

**Algebra:**Fundamental operations in Algebra, Expansion, factorization, quadratic equations, indices, logarithms, arithmetic, geometric and harmonic progressions, binomial theorem, permutations, and combinations.**Calculus:**Functions of a single variable, limit, continuity and differentiability, Mean value theorems, indeterminate forms, and L’Hospital rule, Maxima and minima, Taylor’s series, Fundamental and mean value-theorems of integral calculus, total derivatives, Lagrange method of multipliers.**Differential Equations:**Differential equations of the first order and their solutions, linear differential equations with constant coefficients, homogenous linear differential equations.**Algorithms:**Analysis, Asymptotic notation, Notions of space and time complexity, Worst and average case analysis; Design: Greedy approach, Dynamic programming, Divide-and-conquer; Connected components, Spanning trees, Shortest paths. Asymptotic analysis (best, worst, average cases) of time and space, upper and lower bounds.**Probability:**Probability theory, Dependent, and independent events, frequency distributions, and measures of dispersions, Skewness and Kurtosis, random variable and distribution functions, mathematical expectations, Binomial, Poisson, normal distributions.**Algebra and Complex Analysis:**Algebra of matrices, rank, and determinant of matrices, linear equations. Eigenvalues and eigenvectors, Cayley-Hamilton theorem. Matrix representation of linear transformations. Canonical forms, diagonal forms, triangular forms, Quadratic forms, reduction and classification of quadratic forms Analytic functions, Cauchy-Riemann equations. Contour integral, Cauchy’s theorem, Cauchy’s integral formula, Taylor series, Laurent series, calculus of residues. Conformal mappings, Mobius transformations —Fourier series—harmonics.**Calculus and its Applications:**Linear ordinary differential equations (ODEs), a variation of parameters, Sturm-Liouville problem. Partial differential equations (PDEs) – Classification of second-order PDEs, General solution of higher-order PDEs with constant coefficients, Method of separation of variables for Laplace, Heat and Wave equations. Transformation techniques—Laplace transformation—Fourier transforms—z—transformation to solve differential and difference equations.**Numerical Methods:**Numerical solutions of algebraic and transcendental equations iteration methods and Newton — Raphson method, Solution of systems of linear algebraic equations using Gauss elimination and Gauss-Seidel methods-Numerical differentiation and integration, Numerical solutions of ODEs and PDEs.

**Descriptive statistics, Exploratory Data Analysis:**Sample space, discrete probability, independent events, Bayes theorem. Random variables and distribution functions (univariate and multivariate) – expectation and moments. Independent random variables, marginal and conditional distributions. Characteristic functions. Standard discrete and continuous univariate distributions. Correlation and simple and multiple linear regression. Test of hypotheses —Large and small sample tests confidence intervals. Chi-square test goodness of fit. Simple nonparametric tests for one and two sample problems, rank correlation and test for independence. ANOVA.

**Data Structures:**Arrays, Stacks, Queues, Linked Lists. Sorting techniques, Searching Techniques, Trees and Graph terminology and representation in memory, binary search tree, traversal techniques of graphs and Trees. Computer Networks: Network models, Internet model, OSI model, Physical Layer – Analog and Digital Signals, Analog and Digital Transmission, Coding, Sampling. Data Link Layer – Error detection and correction, Data link control and Protocols Stop and wait, Go-back-n, Selective repeat. Network Layer – Inter-networks, Addressing, unicast and multicast routing, Presentation Layer.

**Programming in C:**Datatypes, Declarations, Expressions, statements and symbolic constants, input-Output functions. Operators and expressions: Arithmetic, unary, logical, bit-wise, assignment, and conditional operators. Control statements: While, do-while, for statements, nested loops, if-else, switch, break, Continue, comma operators. Storage types: Automatic, external, register and static variables. Functions: Defining and accessing, passing arguments, Recursion.

**Database Management Systems:**DBMS architecture, Data models, data independence, E-R model, normalization, Relational Model: concepts, constraints, languages. Data storage, indexing, query processing, design and programming SQL.

**Operating Systems:**Process management, Process States, Process Control Block, Process and Threads, CPU Scheduling, Scheduling algorithm, Process Synchronization and Deadlock, Memory management, Virtual memory concepts paging and segmentation File organization, Blocking and buffering, file descriptor, File and Directory structures, I/O Devices.

**Computer Architecture:**Boolean algebra and computer arithmetic, flip-flops, design of combinational and sequential circuits, instruction formats, addressing modes, interfacing peripheral devices, types of memory and their organization, interrupts and exceptions. Von Neumann Computer, System Bus. Instruction Cycle, Data Representation, Machine instruction, and Assembly Language.

**ENGLISH COMMUNICATION (20 Questions) **

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- Grammar Subject – Verb Agreement Tense forms Voices Articles and Preposition Use of Conjunctions
- Writing Technical Instructions
- Writing Memos & Writing Minutes
- Transcoding
- Preparing Questionnaire
- Proof Reading

**IMPORTANT DATES**

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Sr. No. |
Activity |
Schedule |

1. | Last Date to Apply | Third Week of May |

2. | Date of the Exam | First Week of June |

3. | Declaration of the result | Second Week of June |