VITMEE Preparation Tips 2026: Check Pattern, Study plan, Important tips and tricks

Structural Engineering 

Mechanics - Bending moment and shear force in statically determinate beams. Simple stress and strain relationship Stress and strain in two dimensions, principal stresses, stress transformation, Mohr’s circle. Simple bending theory, flexural and shear stresses, unsymmetrical bending, shear centre. Thin-walled pressure vessels, uniform torsion, buckling of column, combined and direct bending stresses. 

Structural Analysis - Analysis of statically determinate trusses, arches, beams, cables and frames, displacements in statically determinate structures and analysis of statically indeterminate structures by force/ energy methods, analysis by displacement methods (slope deflection method), influence lines for determinate and indeterminate structures. Basic concepts of matrix methods of structural analysis. 

Concrete Structures - Concrete Technology- properties of concrete, basics of mix design. Concrete design-basic working stress and limit state design concepts, analysis of ultimate load capacity and design of members subjected to flexure, shear, compression and torsion by limit state methods. Basic elements of prestressed concrete, analysis of beam sections at transfer and service loads. 

Steel Structures - Analysis and design of tension and compression members, beams and beam-columns, column bases. Connections simple and eccentric, beam-column connections, plate girders and trusses. Plastic analysis of beams and frames. 

Geotechnical Engineering 

Soil Mechanics - Origin of soils, soil classification, three-phase system, fundamental definitions, relationship and interrelationships, permeability and seepage, effective stress principle, consolidation, compaction, shear strength. 

Foundation Engineering - Sub-surface investigations- scope, drilling boreholes, sampling, penetration tests, plate load test. Earth pressure theories, the effect of the water table, layered soils. Stability of slopes-infinite slopes, finite slopes. Foundation types foundation design requirements. Shallow foundations bearing capacity, the effect of shape, water table and other factors, stress distribution, settlement analysis in sands and clays. Deep foundations - pile types, dynamic and static formulae, load capacity of piles in sands and clays, negative skin friction. 

Water Resources Engineering 

Fluid Mechanics and Hydraulics - Properties of fluids, the principle of conservation of mass, momentum, energy and corresponding equations, potential flow, applications of momentum and Bernoulli’s equation, laminar and turbulent flow, flow in pipes, pipe networks. Concept of boundary layer and its growth. Uniform flow, critical flow and gradually varied flow in channels, specific energy concept, hydraulic jump. Forces on immersed bodies, flow measurements in channels, tanks and pipes. Dimensional analysis and hydraulic modelling. Kinematics of flow, velocity triangles and specific speed of pumps and turbines. 

Hydrology - Hydrologic cycle, rainfall, evaporation, infiltration, stage-discharge relationships, unit hydrographs, flood estimation, reservoir capacity, reservoir and channel routing. Well hydraulics. 

Irrigation - Duty, delta, estimation of evapotranspiration. Crop water requirements. Design of lined and unlined canals, waterways, headworks, gravity dams and spillways. Design of weirs on permeable foundation. Types of irrigation systems, irrigation methods. Waterlogging and drainage, sodic soils. 

Water requirements - Quality standards, basic unit processes and operations for water treatment. Drinking water standards, water requirements, basic unit operations and unit processes for surface water treatment, distribution of water. Sewage and sewerage treatment, quantity and characteristics of wastewater. Primary, secondary and tertiary treatment of wastewater, sludge disposal, effluent discharge standards. Domestic wastewater treatment, quantity of characteristics of domestic wastewater, primary and secondary treatment Unit operations and unit processes of domestic wastewater, sludge disposal. 

Air Pollution - Types of pollutants, their sources and impacts, air pollution meteorology, air pollution control, air quality standards and limits. 

Municipal Solid Wastes - Characteristics, generation, collection and transportation of solid wastes, engineered systems for solid waste management (reuse/ recycle, energy recovery, treatment and disposal). 

Noise Pollution - Impacts of noise, permissible limits of noise pollution, measurement of noise and control of noise pollution. 

Transportation Engineering 

Highway Planning - Geometric design of highways, testing and specifications of paving materials, design of flexible and rigid pavements. 

Traffic Engineering - Traffic characteristics, theory of traffic flow, intersection design, traffic signs and signal design, highway capacity. 

Mathematical Logic - Syntax of First-Order Logic, Semantics of First-Order Logic, a Sequent Calculus, the Completeness Theorem, the Limitations of First-Order Logic. 

Differential and Integral Calculus - Limit, Continuity, Differentiability, Leibniz theorem, Mean Value Theorems, Taylor’s theorem, Integrals, Improper integrals, Total Differentiation, Partial derivatives, Maxima and Minima, vector calculus, Linear differential equations. 

Probability and Statistics - Probability, conditional probability, Baye’s theorem, means, median, mode, moments, standard deviation. Random variables, Uniform, Binomial, Poisson, normal distributions, Correlation and regression, Sampling and Tests of significance. 

Numerical Methods - Solutions to algebraic and transcendental equations(Bisection and Newton Raphsons’ methods), simultaneous linear algebraic equations(Gauss elimination, Crouts, Gauss seidal and relaxation), Interpolation methods (forward, backward and central), numerical integration (Trapezoidal, Simpson’s and Weddle’s) eigen values and eigen vectors, Numerical solutions to ordinary (Euler, modified Euler, Runga Kutta 4th order) and partial differential ( parabolic, elliptic and Hyperbolic) equations. 

Linear Algebra and Transforms - Linear vector space, determinants, matrices, eigen values, eigen vectors, elements of complex analysis, laplace transforms, Fourier analysis. 

Discrete Mathematics: Sets, relations and functions, algebra of matrices and determinants, algebraic structures, Booleanalgebra and applications, order relations and structures, graph theory, logic and combinatorics 

Theory of computation: Regular languages and finite automata, context free languages and Push down automata, recursively enumerable sets and Turing machines, undecidability. 

Analysis of algorithms and computational complexity: Asymptotic analysis ( best , worst, average case) oftime and space, Upper and lower bounds on the complexity of specific problems, NP-completeness, code and query tuning techniques, numerical analysis, power analysis & resiliency, intractable problems. 

Computer Hardware 

Electronics: Network analysis, semiconductor devices, bipolar transistors, FET’s, Power supplies, amplifier, Oscillators, Operational amplifiers, elements of digital electronics, logic circuits. 

Digital logic: Number systems and codes, Gates, TTL circuits, Boolean algebra and Karnaugh maps, Arithmetic logic units, Flip flops, registers and counters, Memories, Combinational and sequential logic circuits . 

Computer Architecture and organization: Machine instructions and addressing modes, ALU and data path, Register Transfer Language, hardware and micro programmed control, memory interface, RAM, ROM I/O interface ( Interrupt and DMA modes), serial communication interface, instruction pipelining, Cache, main and secondary memory storage, organization and structure of disk drives, RAID architectures Microprocessors: 8085, 8086, Interfacing and memory addressing. 

Software systems 

Data structures: Notion of abstract data types, stack, Queue, List, set, string, Tree, binary search trees, heap, graph. 

Programming methodology: Introduction to programming, pointers, arrays, control structures, Iterational control structures, functions, recursion, testing, debugging, code review, structures, files. 

Algorithms for problem solving: Tree and graph traversal, connected components, spanning trees, shortest paths, hashing, sorting, searching, design paradigms (Greed y, dynamic programming, divide and conquer). 

Programming language processors: Compiler, Interpreter, assembler, Linker, Loader, Macro processors, phases of compilers, Lexical analysis, parsing, Top-down parsing and bottom up parsing, syntax directed translation, runtime environment, Symbol table, type checking, intermediate Code generation, Code optimization, code generation. 

Operating Systems: Memory management, page faults, overlay, processor management, device management, dead locks, Process, thread and inter process communication, CPU scheduling, file systems, I/O systems, protection and security. 

System & program development methodology: Software paradigms, principles of programming inany language, documentation, system analysis and design methodologies, User Interface Design (UID), software construction, software testing, software quality, Object Oriented Aanlaysis and Design (OOAD) concepts. 

Management Information systems: Aspects of Management and Information systems, decision support and operation support system, sys t ems approaches to MIS, computers and information system in business. 

Databases management systems: Data, database and DBMS, Data dictionary/directory, schema, description of database structure, forms of DBMS systems, Hierarchical, network and RDBMS, DDL, DML , stored data s tructure language and query language, Recent trends in database management systems, Memory management techniques used in computers, query languages(SQL), file structures ( sequential files, indexing, B* trees) Transactions and concurrency control, Basic concepts of transaction processing , ACID properties of transactions, serializability of transactions, concurrency control, recovery, OLAP. 

Computer networks & Data communications: Analog versus Digital communication, modems, multiplexers, and concentrators, serial versus parallel communication, simplex, duplex, and half duplex communication, synchronous and asynchronous communication, Error detection/correction methods, data link control protocols, balanced and unbalanced interfaces, communication media, ISO/OSI stack, Sliding window protocol, LAN Technologies (Ethernet, Token ring), TCP/UDP, IP, switches, gateways, and routers. 

Web technologies: HTML, XML, Concepts of network and internet, WWW and HTTP, web server, web applications, load balancing and application server, web securities. 

Computing Technologies: Client server computing, Logical layers in client server architecture, Two-tier versus Three-tier, Distributed computing, Middleware, Mobile Computing, Cloud Computing. 

Linear Algebra: Matrix Algebra, Systems of linear equations, Eigenvalues and eigenvectors. 

Calculus: Mean value theorems, Theorems of integral calculus, Evaluation of definite and improper integrals, Partial Derivatives, Maxima and minima, Multiple integrals, Fourier series. Vector identities, Directional derivatives, Line, Surface and Volume integrals, Stokes, Gauss and Green’s theorems. 

Differential equations: First order equation (linear and nonlinear), Higher order linear differential equations with constant coefficients, Method of variation of parameters, Cauchy’s and Euler’s equations, Initial and boundary Value problems, Partial Differential Equations and variable separable method. 

Complex variables: Analytic functions, Cauchy’s integral theorem and integral formula, Taylor’s and Laurent series, Residue theorem, solution integrals. 

Numerical Methods: Solutions of non-linear algebraic equations, single and multi-step methods for differential equations. 

Transform Theory: Fourier transform, Laplace transform, Z-transform.

Network 

Network graphs: Matrices associated with graphs; incidence, fundamental cut set and fundamental circuit matrices. Solution methods: nodal and mesh analysis. Network theorems: superposition, Thevenin and Norton’s, maximum power transfer, wye-delta transformation, steady state sinusoidal analysis using phasors, Fourier series, linear constant coefficient differential and difference equations; time domain analysis of simple RLC circuits. Laplace and Z transforms: frequency domain analysis of RLC circuits, convolution, 2-port network parameters, driving point and transfer functions, state equation for networks. 

Elements of vector calculus: gradient, divergence and curl; Gauss and Stokes theorems, Maxwell's equation: differential and integral forms. Wave equation. Poynting vector. Plane waves: propagation through different media; about reflection and refraction; phase and group velocity, and skin depth. Transmission lines: Characteristic impedance; impedance transformation; Smith chart; impedance matching pulse excitation. Wave guides: modes in rectangular waveguides; boundary conditions; cut-off frequencies; dispersion relations. Antennas; Dipole antennas; antenna arrays; radiation pattern; reciprocity theorem, antenna gain.