Main topics under TANCET exam are Engineering Mathematics, Basic Engineering and specialization subjects in engineering. Those who take specialization in Information Technology should study subjects like Applied Probability and Operations Research, Discrete Mathematical Structures, Database Management Systems and Computer Networks etc.

Detailed Syllabus

Engineering Mathematics

• Determinants and Matrices
• Eigen values and eigenvectors
• Rank of the Matrix
• Reduction of quadratic form to canonical form
• Solving system of equations

Calculus and Differential Equations

• Formation of partial differential equation (PDE)
• Linear ordinary differential equations with constant coefficients
• Maxima and Minima
• Partial derivatives – Jacobians and Taylor’s expansion
• Simultaneous firstorder linear equations with constant coefficients
• Solution of first order PDE
• Solution of linear higher order PDE with constant coefficients

Vector Calculus

• Curl and Laplacian vector
• Divergence
• Double and triple integrations and their applications
• Gradient
• Green’s, Gauss divergence and Stroke’s theorem

Functions of Complex Variables and Complex Integration

• Analytic functions
• Bilinear transformation
• Cauchy’s integral theorem and integral formula
• Conformal Mapping
• Residue theorem and its applications
• Residues
• Singularities
• Taylor and Laurent Series

Transforms: Laplace Transform

• Differential equations with constant coefficients
• Fourier transforms pair
• Application to solution of linear ordinary
• Inverse transforms
• Solution of difference equations using Z- transform.
• Inverse Z-transform
• Fourier integral theorem
• Sine and Cosine transforms

Numerical Methods

• Interpolation and approximation
• Numerical Differentiation and Integration
• Solution of linear system by direct and iterative methods
• Solving Ordinary Differential Equations

Applied Probability

• Correlation and Regression
• Covariance
• Moment generating function and their properties
• Moments
• Probability and Random variables
• Standard Discrete and Continuous distribution
• Two-Dimensional Random Variables

Basic Engineering and Sciences

Applied Mechanics

• Displacement, velocity and acceleration
• Forces, Moments and Couples
• Friction
• Lami’s theorem
• Law of Mechanics
• Moment of Inertia

Mechanical Engineering

• Equation of state
• Heat and Work
• Laws of thermodynamics
• Open and closed systems

Physics

• Interference Fringes
• Laser and Fibre Optics
• Latices
• Planck’s quantum theory
• Sound
• Ultrasonic flaw detector
• X-ray radiography

Material Science

• Ceramic and Super conductor materials
• Conductor and Semi conductor materials
• Fracture
• Magnetic and Dielectric materials

Civil Engineering

• Boundary Layer
• Environmental Pollution
• Fluid Statics and Dynamics
• Pumps and Turbines

Electrical Engineering

• A.C. circuits
• D.C. machines
• Instrumentation
• Kirchoff’s law
• Ohm’s law
• Synchronous machines
• Transformers

Computers

• Architecture
• Arrays
• C program
• Computer organization
• Pointers
• User defined function

Chemistry

• Adsorption
• Chemical kinetics
• Chromatography
• Electrochemistry
• Fuels and Combustion
• Spectroscopy

Information Technology

Applied Probability and Operations Research

• Design of Experiments
• Probability Distributions
• Queuing Models and Simulation
• Random Processes
• Testing of Hypothesis

Discrete Mathematical Structures

• Formal Language and Automata
• Graph Theory

Compiler Design

• Code Generation
• Implementation
• Optimization
• Principles of Programming Languages
• Programming Paradigms

Operating Systems and System Software

• Assemblers
• Design and Implementation of LINUX OS
• I/O Systems
• Linkers
• Loaders
• Macro Processors
• Process Management
• Storage Management

Distributed Systems

• Communication and Distributed Environment
• Distributed Object Based Systems
• Distributed Operating Systems
• Distributed Shared Memory
• Fault Tolerance and Distributed File Systems
• Protocols

Programming and Data Structures

• Graph
• Hashing and Priority Queues
• Heap Search
• Problem Solving Techniques
• Sorting
• Trees

Algorithm Analysis and Design Techniques

• Advanced Algorithms
• Dynamic Programming
• Greedy Algorithms
• NP Completeness and Approximation Algorithms

Computer Architecture and Organization

• Combinational Circuits
• Digital Fundamentals
• Instruction Level Parallelism
• Instruction Set Architecture (RISC, CISC, ALU Design)
• Memory Organization
• Microprocessors and Microcontrollers
• Processing Unit and Pipelining
• Synchronous and Asynchronous Sequential Circuits

Digital Signal Processing

• FFT
• Filter Design

Computer Networks

• Data Communication Systems
• Applications

Database Management Systems

• Data Mining and Data Warehousing
• Database Design
• Distributed Databases
• Implementation Techniques
• Object Oriented Databases
• Object Relational Databases
• Relational Model

Software Engineering Methodologies

• Data acquisition System
• Elicitation and Analysis
• Function Point Models
• Modular Design, Architectural Design, User Interface Design, Real Time Software Design and System Design
• Object Oriented Analysis and Design
• Quality Metrics
• Quality Standards
• Requirement Engineering
• Requirements Development and Validation
• Requirements Testing
• Software Configuration Management
• Software Cost Estimation
• Software Maintenance
• Software Product and Processes
• Software Project Management
• Software Quality and reusability
• Software Requirements Management
• Software Testing and Quality Assurance
• Software Testing Principles, Defects and Test Case Design Strategies
• SQA Fundamentals

Artificial Intelligence

• Intelligent Agents
• Knowledge Representation
• Learning and Applications
• Search Strategies

Mobile Computing

• Telecommunication Systems
• Wireless Communication Fundamentals
• Wireless Networks

Security in Computing

• Cryptography
• Database and Network Security
• Information Coding Techniques
• Network Security
• Program Security
• Scientific Computing
• Security in Operating Systems

Aspirants can refer text books prescribed for relevant B.Tech course which cover the syllabus of TANCET. They can make use of reference books published exclusively for TANCET exam. Availing the guidance of coaching centers is another good option for preparing well for this exam.