{"id":983,"date":"2025-07-16T16:11:18","date_gmt":"2025-07-16T16:11:18","guid":{"rendered":"https:\/\/nimskanpur.in\/?page_id=983"},"modified":"2025-07-19T16:31:34","modified_gmt":"2025-07-19T16:31:34","slug":"vit","status":"publish","type":"page","link":"https:\/\/nimskanpur.in\/index.php\/vit\/","title":{"rendered":"Vellore Institute of Technology"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-page\" data-elementor-id=\"983\" class=\"elementor elementor-983\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-0e9356a elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"0e9356a\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-db4c2e9\" data-id=\"db4c2e9\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-2a13106 elementor-widget elementor-widget-text-editor\" data-id=\"2a13106\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h1 style=\"text-align: center;\"><span style=\"color: #ff0000;\"><strong><u>Vellore Institute of Technology <span style=\"color: #ff0000;\">(<\/span><\/u><\/strong><strong><u>VIT)<\/u><\/strong><\/span><\/h1><h2><span style=\"color: #ff0000;\"><strong><u>Pattern of the Question Paper<\/u><\/strong><\/span><\/h2><ul><li><h3>The computer based test (CBT) objective question Paper consists of 100 questions with a maximum of 100 marks.<\/h3><\/li><li><h3>Of these, 80 will be from the chosen technical subject and 20 will be from English communication. There are no negative marks for wrong answers.<\/h3><\/li><\/ul><h2><span style=\"color: #ff0000;\"><strong><u>Syllabus <\/u><\/strong><\/span><\/h2><h3><span style=\"color: #ff0000;\"><strong><u>MATHEMATICS :<\/u><\/strong><\/span><\/h3><h3><span style=\"color: #ff0000;\"><strong>Algebra :<\/strong>\u00a0<\/span> Fundamental operations in Algebra, Expansion, factorization, quadratic equations, indices, logarithms, arithmetic, geo-metric and harmonic progressions, binomial theorem, permutations and combinations.<\/h3><h3><span style=\"color: #ff0000;\"><strong>Calculus : <\/strong><\/span>\u00a0Functions of single variable, limit, continuity and differentiability, Mean value theorems, indeterminate forms and L\u2019Hos-pital rule, Maxima and minima, Taylor\u2019s series, Fundamental and mean value-theorems of integral calculus, total derivatives, La-grange method of multipliers.<\/h3><h3><span style=\"color: #ff0000;\"><strong>Differential Equations : <\/strong>\u00a0<\/span>Differential equations of first order and their solutions, linear differential equations with constant coeffi-cients, homogenous linear differential equations.<\/h3><h3><span style=\"color: #ff0000;\"><strong>Algorithms :<\/strong><\/span>\u00a0 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 analy-sis (best, worst, average cases) of time and space, upper and lower bounds.<\/h3><h3><span style=\"color: #ff0000;\"><strong>Probability :<\/strong>\u00a0<\/span> Probability theory, Dependent and independent events, frequency distributions, and measures of dispersions, Skew-ness and Kurtosis, random variable and distribution functions, mathematical expectations, Binomial, Poisson, normal distributions.<\/h3><h3><span style=\"color: #ff0000;\"><strong>Algebra and Complex Analysis :<\/strong><\/span>\u00a0 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 func-tions, Cauchy-Riemann equations. Contour integral, Cauchy\u2019s theorem, Cauchy\u2019s integral formula, Taylor series, Laurent series, calculus of residues. Conformal mappings, Mobius transformations\u2014Fourier series\u2014harmonics.<\/h3><h3><strong><span style=\"color: #ff0000;\">Calculus and its Applications :<\/span> <\/strong>\u00a0Linear ordinary differential equations (ODEs), variation of parameters, Sturm-Liouville problem. Partial differential equations (PDEs) \u2013 Classification of second order PDEs, General solution of higher or-der PDEs with constant coefficients, Method of separation of variables for Laplace, Heat and Wave equations. Transformation techniques\u2014Laplace transformation\u2014Fourier transforms\u2014z\u2014transformation to solve differential and difference equations.<\/h3><h3><span style=\"color: #ff0000;\"><strong>Numerical Methods :<\/strong><\/span>\u00a0 Numerical solutions of algebraic and transcendental equations iteration methods and Newton\u2014Raphson 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.<\/h3><h3><span style=\"color: #ff0000;\"><strong>Descriptive statistics, \u00a0Exploratory \u00a0Data Analysis : <\/strong>\u00a0<\/span>Sample space, discrete probability, independent events, Bayes theorem. Random variables and distribution functions (univariate and multivariate) \u2013 expectation and moments. Independ-ent random variables, marginal and conditional distributions. Characteristic functions. Standard discrete and con-tinuous univariate distributions. Correlation and simple and multiple linear regression. Test of hypotheses\u2014Large and small sample tests confidence intervals. Chi-square test goodness of fit. Simple non parametric tests for one and two sample problems, rank correlation and test for independence. ANOVA.<\/h3><h2><span style=\"color: #ff0000;\"><strong><u>COMPUTER \u00a0AWARENESS :<\/u><\/strong><\/span><\/h2><h3><span style=\"color: #ff0000;\"><strong>Data Structures : <\/strong>\u00a0<\/span>Arrays, Stacks, Queues, linked Lists. Sorting techniques, Searching Techniques, Trees and Graph terminology and representation in memory, binary \u00a0search tree, traversal techniques of graphs and Trees.<\/h3><h3><span style=\"color: #ff0000;\"><strong>Computer Networks \u00a0:<\/strong>\u00a0<\/span> Network models, Internet model, OSI model, Physical Layer \u2013 Analog and Digital Signals, Analog and Digital Transmission, Coding, Sampling. Data Link Layer \u2013 Error detection and correction, Data link control and Protocols, Stop and wait, Go-back-n, Selective repeat. Network Layer \u2013 Inter-networks, Addressing, unicast and multicast routing, Presentation Layer.<\/h3><h3><span style=\"color: #ff0000;\"><strong>Programming in C : <\/strong><\/span>\u00a0Data types, 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 state-ments, nested loops, if else, switch, break, Continue, comma operators. Storage types: Automatic, external, register and static variables. Functions: Defining and accessing, passing arguments, Recursion.<\/h3><h3><span style=\"color: #ff0000;\"><strong>Database Management Systems :<\/strong><\/span>\u00a0 DBMS architecture, Data models, data independence, E-R model, normalization, Relational Model: concepts, constraints, languages. Data storage, indexing, query processing, design and programming SQL.<\/h3><h3><span style=\"color: #ff0000;\"><strong>Operating \u00a0Systems \u00a0: <\/strong><\/span>\u00a0Process management, Process States, Process Control Block, Process and Threads, CPU Scheduling, Schedul-ing 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.<\/h3><h3><span style=\"color: #ff0000;\"><strong>Computer Architecture : <\/strong><\/span>\u00a0Boolean algebra and computer arithmetic, flip-flops, design of combinational and sequential circuits, in-struction formats, addressing modes, interfacing peripheral devices, types of memory and their organization, interrupts and excep-tions. Von Neumann Computer, System Bus. Instruction Cycle, Data Representation, Machine instruction and Assembly Language.<\/h3><h2><span style=\"color: #ff0000;\"><strong>ENGLISH COMMUNICATION \u00a0(20 Questions) :<\/strong><\/span><\/h2><h3><span style=\"color: #000000;\">1- Grammar<\/span><\/h3><h3><span style=\"color: #000000;\">Subject , Verb Agreement,\u00a0 Tense forms, Voices,\u00a0 Articles \u00a0and Preposition,\u00a0 Use of Conjunctions<\/span><\/h3><h3><span style=\"color: #000000;\">2- Writing Technical Instructions<\/span><\/h3><h3><span style=\"color: #000000;\">3- Writing Memos &amp; \u00a0Writing Minutes<\/span><\/h3><h3><span style=\"color: #000000;\">4- Transcoding<\/span><\/h3><h3><span style=\"color: #000000;\">5- Preparing \u00a0Questionnaire<\/span><\/h3><h3><span style=\"color: #000000;\">6- Proof \u00a0Reading<\/span><\/h3><h3><span style=\"color: #000000;\">7- General vocabulary (words often confused)<\/span><\/h3>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>Vellore Institute of Technology (VIT) Pattern of the Question Paper The computer based test (CBT) objective question Paper consists of 100 questions with a maximum of 100 marks. Of these, 80 will be from the chosen technical subject and 20 will be from English communication. There are no negative marks for wrong answers. Syllabus MATHEMATICS [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"ocean_post_layout":"","ocean_both_sidebars_style":"","ocean_both_sidebars_content_width":0,"ocean_both_sidebars_sidebars_width":0,"ocean_sidebar":"","ocean_second_sidebar":"","ocean_disable_margins":"enable","ocean_add_body_class":"","ocean_shortcode_before_top_bar":"","ocean_shortcode_after_top_bar":"","ocean_shortcode_before_header":"","ocean_shortcode_after_header":"","ocean_has_shortcode":"","ocean_shortcode_after_title":"","ocean_shortcode_before_footer_widgets":"","ocean_shortcode_after_footer_widgets":"","ocean_shortcode_before_footer_bottom":"","ocean_shortcode_after_footer_bottom":"","ocean_display_top_bar":"default","ocean_display_header":"default","ocean_header_style":"","ocean_center_header_left_menu":"","ocean_custom_header_template":"","ocean_custom_logo":0,"ocean_custom_retina_logo":0,"ocean_custom_logo_max_width":0,"ocean_custom_logo_tablet_max_width":0,"ocean_custom_logo_mobile_max_width":0,"ocean_custom_logo_max_height":0,"ocean_custom_logo_tablet_max_height":0,"ocean_custom_logo_mobile_max_height":0,"ocean_header_custom_menu":"","ocean_menu_typo_font_family":"","ocean_menu_typo_font_subset":"","ocean_menu_typo_font_size":0,"ocean_menu_typo_font_size_tablet":0,"ocean_menu_typo_font_size_mobile":0,"ocean_menu_typo_font_size_unit":"px","ocean_menu_typo_font_weight":"","ocean_menu_typo_font_weight_tablet":"","ocean_menu_typo_font_weight_mobile":"","ocean_menu_typo_transform":"","ocean_menu_typo_transform_tablet":"","ocean_menu_typo_transform_mobile":"","ocean_menu_typo_line_height":0,"ocean_menu_typo_line_height_tablet":0,"ocean_menu_typo_line_height_mobile":0,"ocean_menu_typo_line_height_unit":"","ocean_menu_typo_spacing":0,"ocean_menu_typo_spacing_tablet":0,"ocean_menu_typo_spacing_mobile":0,"ocean_menu_typo_spacing_unit":"","ocean_menu_link_color":"","ocean_menu_link_color_hover":"","ocean_menu_link_color_active":"","ocean_menu_link_background":"","ocean_menu_link_hover_background":"","ocean_menu_link_active_background":"","ocean_menu_social_links_bg":"","ocean_menu_social_hover_links_bg":"","ocean_menu_social_links_color":"","ocean_menu_social_hover_links_color":"","ocean_disable_title":"default","ocean_disable_heading":"default","ocean_post_title":"","ocean_post_subheading":"","ocean_post_title_style":"","ocean_post_title_background_color":"","ocean_post_title_background":0,"ocean_post_title_bg_image_position":"","ocean_post_title_bg_image_attachment":"","ocean_post_title_bg_image_repeat":"","ocean_post_title_bg_image_size":"","ocean_post_title_height":0,"ocean_post_title_bg_overlay":0.5,"ocean_post_title_bg_overlay_color":"","ocean_disable_breadcrumbs":"default","ocean_breadcrumbs_color":"","ocean_breadcrumbs_separator_color":"","ocean_breadcrumbs_links_color":"","ocean_breadcrumbs_links_hover_color":"","ocean_display_footer_widgets":"default","ocean_display_footer_bottom":"default","ocean_custom_footer_template":"","footnotes":""},"class_list":["post-983","page","type-page","status-publish","hentry","entry"],"_links":{"self":[{"href":"https:\/\/nimskanpur.in\/index.php\/wp-json\/wp\/v2\/pages\/983","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/nimskanpur.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/nimskanpur.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/nimskanpur.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/nimskanpur.in\/index.php\/wp-json\/wp\/v2\/comments?post=983"}],"version-history":[{"count":16,"href":"https:\/\/nimskanpur.in\/index.php\/wp-json\/wp\/v2\/pages\/983\/revisions"}],"predecessor-version":[{"id":1055,"href":"https:\/\/nimskanpur.in\/index.php\/wp-json\/wp\/v2\/pages\/983\/revisions\/1055"}],"wp:attachment":[{"href":"https:\/\/nimskanpur.in\/index.php\/wp-json\/wp\/v2\/media?parent=983"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}