MCA VITMEE 2024 Mathematics Syllabus

MCA (VITMEE 2024) Syllabus

• Mathematics: Covers fundamental operations in algebra, including expansion, factorization, quadratic equations, logarithms, arithmetic, geometric progressions, and binomial theorems. Calculus topics include functions of single variables, limits, continuity, differentiability, mean value theorems, indeterminate forms, maxima and minima, Taylor series, and fundamental/mean value theorems of integral calculus. Differential equations, algorithms, probability, including probability theory, dependent/independent events, frequency distributions, measures of dispersion, skewness, and kurtosis. The syllabus also includes algebraic and complex analysis concepts like algebra of matrices, rank, determinant of matrices, linear equations, eigenvalues, eigenvectors, Cayley-Hamilton theorem, matrix representation of linear transformations, canonical forms, quadratic forms, reduction and classification, analytic functions, Cauchy-Riemann equations, contour integrals, Cauchy's theorems, Taylor series, Laurent series, conformal mappings, and Mobius transformations. Numerical methods include solutions of algebraic and transcendental equations, iteration methods, Newton-Raphson method, systems of linear equations, Gauss elimination, Gauss-Seidel methods, numerical differentiation, integration, solutions of ODEs and PDEs. Descriptive statistics, exploratory data analysis, including sample space, discrete probability, independent events, Bayes theorem, random variables. Characteristic functions, standard discrete and continuous univariate distributions, correlation, simple and multiple linear regression, hypothesis testing, and confidence intervals. Chi-square test, goodness of fit, simple non-parametric tests, rank correlation, and tests for independence.
• Data Structures: Covers arrays, stacks, queues, linked lists, sorting and searching techniques, trees, and graph terminology, representation in memory, binary search trees, and graph traversal techniques.
• Computer Networks: Includes network models, the OSI model, physical layer (analog and digital signals, transmission), data link layer (error detection/correction, data link control protocols), network layer (inter-networking, addressing, unicast and multicast routing). Presentation layer covered as well.
• Programming in C: Introduces data types, declarations, expressions, statements, symbolic constants, input/output functions, operators, control statements (while, do-while, for, if-else, switch), break, continue, comma operators, storage types (automatic, external, register, static), functions (definitions, accessing arguments, recursion), and database management systems topics.
• Database Management Systems (DBMS): Covers DBMS architecture, data models, data independence, E-R model, normalization, relational model concepts, constraints, languages, data storage, indexing, and query processing.
• Operating Systems: Covers process management, process states, process control block, processes and threads, CPU scheduling, scheduling algorithms, process synchronization, deadlocks, memory management (virtual memory), paging, segmentation, file organization, blocking and buffering, file descriptors, file and directory structures, input/output (I/O) devices, computer architecture, Boolean algebra, computer arithmetic, flip-flops, combinational and sequential circuits, instruction formats, addressing modes, interfacing, types of memory, organization, interrupts, exceptions, Von Neumann computer, system bus, instruction cycle, and data representation.
• English Communication (Common to all subjects): Comprises grammar (subject-verb agreement, tense forms, voices, articles, preposition, conjunctions), technical instruction writing, memos and minutes writing, transcoding, questionnaire preparation, proofreading, and general vocabulary (word usage and confusion.)