TAMIL NADU COMMON ENTRANCE TEST
SYLLABUS FOR THE ENTRANCE TEST
PART – I
ENGINEERING MATHEMATICS (Common to all Candidates)
i) Determinants and Matrices : Solving system of equations – Rank of the Matrix – Eigenvalues
and eigenvectors – Reduction of quadratic form to canonical form.
ii) Calculus and Differential Equations : Partial derivatives – Jacobians – Taylor’s expansion –
Maxima and Minima. Linear ordinary differential equations with constant coefficients – Simultaneous first
order linear equations with constant coefficients. Formation of partial differential equation (PDE) –
Solution of first order PDE – Solution of linear higher order PDE with constant coefficients.
iii) Vector Calculus : Double and triple integrations and their applications – Gradient, Divergence, Curl
and Laplacian – Green’s, Gauss divergence and Stroke’s theorem.
iv) Functions of Complex Variables and Complex Integration : Analytic functions – Conformal
Mapping – Bilinear transformation – Cauchy’s integral theorem and integral formula – Taylor and Laurent
Series – Singularities – Residues – Residue theorem and its applications.
v) Transforms : Laplace Transform – Inverse transforms – Application to solution of linear ordinary
differential equations with constant coefficients. Fourier integral theorem – Fourier transform pair – Sine
and Cosine transforms. -transform – Inverse Z–transform – Solution of difference equations using Z–
transform.
vi) Numerical Methods : Solution of linear system by direct and iterative methods – Interpolation and
approximation – Numerical Differentiation and Integration – Solving Ordinary Differential Equations.
vii) Applied Probability : Probability and Random variables – Standard Discrete and Continuous
distribution – Moments – Moment generating function and their properties. Two-Dimensional Random
Variables – Covariance – Correlation and Regression.
PART – II
BASIC ENGINEERING & SCIENCES (Common to all Candidates)
i) Applied Mechanics : Law of Mechanics – Lame’s theorem – Forces, Moments and Couples –
Displacement, velocity and Acceleration – Friction – Moment of Inertia.
ii) Mechanical Engineering : Laws of thermodynamics – Open and closed systems – Equation of state
– Heat and Work.
iii) Physics : Sound – Latices – Ultrasonic flaw detector – X-ray radiography – Interference Fringes –
Planck’s quantum theory – Laser and Fibre Optics.
iv) Material Science : Fracture – Magnetic and Dielectric materials – Conductor and Semi conductor
materials – Ceramic and Super conductor materials.
v) Civil Engineering : Fluid Statics and Dynamics – Boundary Layer – Pumps and Turbines –
Environmental Pollution.
vi) Electrical Engineering : Ohm’s law – Kirchoff’s law – A.C. circuits – D.C. machines – Transformers
– Synchronous machines – Instrumentation.
vii) Computers : Computer organisation – Architecture – Arrays – Pointers – User defined function –
C program.
viii) Chemistry : Adsorption – Chromatography – Chemical kinetics – Electrochemistry – Spectroscopy –
Fuels and Combustion.
PART - III
i) Applied Probability And Operations Research : Random Processes, Probability Distributions,
Queuing Models and Simulation, Testing of Hypothesis, Design of Experiments.
ii) Discrete Mathematical Structures : Formal Language and Automata - Graph Theory.
iii) Compiler Design : Optimisation – Code Generation – Implementation – Principles of Programming
Languages – Programming Paradigms.
iv) Operating Systems And System Software : Process Management, Storage Management, I/O
Systems, Design and Implementation of LINUX OS, assemblers, Loaders, Linkers, Macro Processors.
v) Distributed Systems : Communication and Distributed Environment, Distributed Operating Systems,
Distributed Shared Memory, Protocols, Fault Tolerance and Distributed File Systems, Distributed Object
Based Systems.
vi) Programming And Data Structures : Problem Solving Techniques, Trees, Hashing and Priority
Queues, Sorting, Graph, Heap Search.
vii) Algorithm Analysis And Design Techniques : Dynamic Programming, Greedy Algorithms,
Advanced Algorithms, NP Completeness and Approximation Algorithms.
viii) Microprocessors And Microcontrollers - Computer Architecture And Organisation : Digital
Fundamentals, Combinational Circuits, Synchronous and Asynchronous Sequential Circuits, Instruction Set
Architecture(RISC,CISC,ALU Design), Instruction Level Parallelism, Processing Unit and Pipelining,
Memory Organisation.
ix) Digital Signal Processing : FFT, Filter Design.
x) Computer Networks : Data Communication Systems, Applications.
xi) Database Management Systems : Relational Model, Database Design, Implementation
Techniques, Distributed Databases, Object Oriented Databases, Object Relational Databases, Data Mining
and Data Warehousing.
xii) Software Engineering Methodologies : Software Product and Processes - Software
Requirements Management - Requirement Engineering, Elicitation, Analysis, Requirements Development
and Validation, Requirements Testing - Object Oriented Analysis And Design – Modular Design,
Architectural Design, User Interface Design, Real Time Software Design, System Design, Data acquisition
System - Software Testing And Quality Assurance - SQA Fundamentals, Quality Standards, Quality
Metrics, Software Testing Principles, Defects, Test Case Design Strategies, Software Quality and
reusability, Software Project Management, Software Cost Estimation, Function Point Models, Software
Configuration Management, Software Maintenance.
xiii) Artificial Intelligence : Intelligent Agents, Search Strategies, Knowledge Representation,
Learning, Applications.
xiv) Mobile Computing : Wireless Communication Fundamentals, Telecommunication Systems,
Wireless Networks.
xv) Security In Computing : Program Security, Security in Operating Systems, Database and
Network Security, Scientific Computing, Information Coding Techniques, Cryptography, Network Security.
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