BITS M.Tech Entrance Exam Syllabus

I want to know Birla Institute of Technology and Science M.Tech entrance exam syllabus, please provide here???

[Arun Vats]

Birla Institute of Technology and Science M.Tech entrance exam syllabus is as given below:

Test I is compulsory for all students who are applying for any of the higher degree programmes of the Institute and will consist of the following sections

Sections No. of Questions
Core Mathematics 15
Core Physics 15
English Language Skills & Principles of Management 15
Computer Programming 15
Total 60

Test II:
Duration: 120 Minutes
Total number of questions: 100

Syllabus;

SYLLABUS FOR TEST I
Core Mathematics:
Functions and graphs; limit and continuity; applications of derivative and integral. Conics; Polar
coordinates; Convergence of sequence and series. Maclaurin and Taylor series. Partial derivatives. Vector
calculus in Rn; vector analysis; theorems of Green, Gauss and Stokes.
Complex numbers, analytic functions, Cauchy’s theorms; elementary functions; series expansions;
calculus of residues and applications. Vector space; basis and dimension; linear transformation; range and
kernel of a linear transformation; row deduction method and application to linear system of equations.
Probability spaces; conditional probability and independence; random variables and probability
distributions; marginal and conditional distributions; independent random variables; mathematical
expectation; mean and variance; binomial, Poisson’s and normal distributions; sum of independent random
variables; law of large numbers; central limit theorem, sampling distribution and test for mean using normal
and students t-distribution; test of hypothesis; correlation and linear regression.

Reference books:
Thomas, G B & R,L Finney, Calculus and Analutic Geometry, Pearson Education, 9th ed., 1996
Kolman, Bemard & D R Hill, Introductory Linear Algebra with Applications
Churchill, R V and James W Brown, Complex variables and Applications, MGHISE, 7th ed, 2003
Milton. J Susan

Core Physics:
Linear momentum and its Conservation, Angular momentum and its conservation, Rotational dynamics of
rigid bodies, Work-energy theorem, Conservative forces and potential energy, Collision problems, Damped
and forced simple harmonic motions, Coupled oscillations and wave motion
Coulomb’s law, Electric fields, Gauss’ law, Electric potential, Dielectrics and capacitors, Magnetic fields,
Biot-Savart law and its applications, Magnetic materials, Ampere’s law, Faraday’s law of electromagnetic
induction, Maxwell’s equations and plane electromagnetic waves
Young’s double-slit interference, Interference from thin films, Coherence, Diffraction from single and
double slits, Diffraction grating, Photoelectric effect, Compton effect, De-Broglie waves, Uncertainty
relation, Schrodinger equation, Particle in a box, Potential barriers and tunneling.

Reference books:
R. Resnick, D. Halliday & K.S. Krane, Physics Vol. I & II, John Wiley & Sons, 5th ed., 2004

English Language Skills and Principles of Management
Pronunciation skills; Vocabulary – Synonyms and antonyms, using words in appropriate contexts, Idioms
and Phrasal verbs; Grammar – Word order and effective sentences, use of tenses, conjunctions and
prepositions; Reading comprehension; Paragraph writing; Précis Writing; Letter writing.
Fundamental concepts of management- planning, organization; staffing; directing and controlling;
production, financial, personal, legal and marketing functions, accounting and budgeting, balance sheets.

Reference books:
Krishna Mohan and Meenakshi Raman, 2000, Effective English Communication, New Delhi: Tata McGraw
Hill.:
Robbins, Stephen P & M. Coutler, Management, PHI/Pearson Edu, 8th ed., 2005

Computer Programming
Basic Data Types and Operations. Control Constructs – Conditionals and Loops Lists - Arrays. Modularity–
Functions.
Structured Data – Structures, Unions, Pointers. Applications – Strings.

Reference books:
Balagurusamy, E. Programming in ANSI C, TMH, 2nd, 2004

SYLLABUS FOR TEST II
Chemical Engineering
Chemical Process Calculations
Units and Dimensions, The Chemical Equation and Stoichiometry, Material Balances, Energy Balances,
Properties of Gases, Vapors, Liquids and Solids, Phase Equilibria, Combustion Calculation, Unsteady-
State Material and Energy Balances.

Reference books:
Himmelblau, D. M. “Basic principles & calculations in chemical Engg”, PHI, 6th ed., 1997.
Felder, R. M. & R. W. Rousseau, “Elementary Principles of Chemical Processes”, John Wiley & Sons,
Inc., 3rd ed., 2000.

Fluid Flow Operations
Fundamental Concepts and Fluid Statics, Integral and Differential Analyses for Fluid Motion, Internal and
External Fluid Flow and Flow through Packed Bed, Dimensional Analysis and Fluid Machinery, Agitation
and Introduction to Compressible Flow.

Reference books:
Fox, R. W. and A. T. McDonalds, Introduction to Fluid Mechanics (5th edition) John Wiley and Sons Inc.,
2001.
McCabe, W. L., J. C. Smith and P. Harriott Unit Operations of Chemical Engineering (7th edition),
McGraw Hill Inc., 2005.

Chemical Engineering Thermodynamics
First & Second Laws, PVT behavior & Heat Effects, Properties of pure fluids and thermodynamics of flow
processes, Solution thermodynamics, VLE and chemical reaction equilibrium.

Reference books:
J. M.Smith, and Others,“Introduction to Chemical Engineering Thermodynamics”, MGHFSE, 6th ed., 2001
YVC Rao, “Chemical Engineering Thermodynamics”, Universities Press, 1997.
KV Narayanan, “A Textbook of Chemical Engineering Thermodynamics”. Prentice Hall of India, 2001.

Mass Transfer Operations
Molecular diffusion and mass transfer coefficients, Interphase mass transfer, Gas absorption, Distillation,
Liquid extraction and leaching.

Reference books:
Treybal, R.E., “Mass Transfer Operations,” 3rd Ed., McGraw-Hill Book Company, Singapore, 1980.
Foust, A. S., Wenzel, L.A., Clump, C.W., Anderson, L.B., “Principles of Unit Operations,” 2nd Ed., John
Wiley and Sons, New York, 1980.

Heat Transfer Operations
Steady and Unsteady state heat conduction, Natural & Forced convection, Radiation, Condensation,
boiling and evaporation, Heat Exchangers.

Reference books:
Holman, J. P., “Heat Transfer (9th Ed.)”, McGraw-Hill, 2002.
Frank P. Incropera, David P. DeWitt, “Fundamental of Heat & Mass Transfer (6th Ed.)”, John Wiley &
Sons, 2006.
D. Q. Kern, “Process Heat Transfer”, Tata McGraw Hill.
McCabe & Smith, “Unit Operations of Chemical Engineering (7th ed)”, McGraw-Hill, 2004.

Selected Chemical Engineering Operations
Properties and Handling of Particulate Solids, Mechanical Separations, Adsorption and Fixed-Bed
Separations, Drying of Solids, Membrane Separation Processes and Crystallization.

Reference books:
McCabe W. L., and Smith J. M., & Harriott P., Unit Operations of Chemical Engineering, 7th Ed., McGraw-
Hill International Edition, 2006.
Chemical Engineering (Volumes 1-6), Coulson J. M., Richardson J. F. & others, Pergamon Press,
London, 1978 & 1997.

Kinetics & Reactor Design
Mole balances and reactor sizing, Rate laws and stoichiometry, Isothermal reactor design for single and
multiple reactions, Analysis of laboratory reactor data, and reaction mechanisms for nonelementary
reactions, Non isothermal reactor design for single and multiple reactions, Heterogeneous reactors, Data
analysis & design, Non Ideal reactors.

Reference books:
H. Scott Fogler “Elements of Chemical Reaction Engineering”, PHI, 3rd Ed, 2002.
O. Levenspiel, “Chemical Reaction Engineering”, John Wiley, 3rd Ed., 1999.
J.M. Smith, “Chemical Engineering Kinetics”, McGraw Hill, 3rd Ed., 1981.

Chemical Process Technology
Process synthesis concepts for flow sheet generation; species allocation; separation task sequence and
task integration, Technologies related to Inorganic Chemical Industries, Technologies related to Natural
Product Industries, Technologies related to synthetic organic chemical industries, Technologies related to
Polymerization industries.

Reference books:
Rao, G. and Sittig M., “Dryden’s outlines of chemical technology for 21st century”, East West Press, 1997.
Austin, G T, “Shreve’s chemical process industries”, McGraw Hill, 1984.

Process Design Decisions
Engineering Economics; Economic Decision Making, Input Information and Batch versus Continuous;
Input-Output Structure, Recycle Structure; Separation System, Heat Exchanger Networks (Energy
Integration), Cost Diagrams; Preliminary Process Optimization; Process Retrofits.

Reference books:
James M. Douglas. Conceptual Design of Chemical Processes. McGraw-Hill International Editions
(Chemical Engineering Series), Mc Graw Hill Book Company, New York, 1988.
Max S. Peters, Klaus D. Timmerhaus, Ronald E. West, Max Peters. Plant Design and Economics for
Chemical Engineers. 5th Edition, Mc Graw Hill, New York, 2003.

Process Control
Dynamic modeling and simulation of momentum, energy, mass transfer and reacting systems, Analysis of
the dynamic behavior of chemical processes, Analysis and design of simple feedback and advanced
control systems, Design of control systems with multiple input and multiple output, Digital sampling,
filtering and control.

Reference books:
Stephanopoulos, G., “Chemical Process Control: An Introduction to Theory and Practice,” Prentice-Hall,
Englewood Cliffs, N.J., 1984
Seborg, D.E., Edgar, T.F. and Mellichamp, D.A., “Process Dynamics and Control,” 2nd Ed., John Wiley
and Sons, 2004.
Coughnowr, D. R., and Koppel, I. B., “Process Systems Analysis and Control,” 2nd Ed., McGraw-Hill, New
York, 1991.

Civil Engineering
Design of Concrete Structures:
Materials for reinforced concrete, Design of concrete Mix, Design philosophies, Design of singly and
doubly reinforced rectangular and flanged sections for Flexure using Working stress and Limit State
Design approach, Design for bond, anchorage and development length, Design of beams for Shear,
serviceability requirements, Design of one way slab, two way slab and staircase, yield line theory, Design
for columns, Foundations , retaining walls and introduction to prestressed concretes..

Reference books:
Limit State Design of Reinforced Concrete, By: P. C. Varghese, PHI, New Delhi.
Reinforced Concrete Design by Pillai and Menon, TaTa McGraw Hill, Publication, New Delhi.
Reinforced Concrete Design by S. N. Sinha, TaTa McGraw Hill, Publication, New Delhi.
Design of Concrete Structures by Nilson, Darwin and Dolan, TaTa McGraw Hill, Publication, New Delhi

Design of Steel Structures (Limit State Design) :
Steel Design Specifications and Connections, Design of Tension and Compression Members, Design of
beams and plate girders, Design of Industrial Structures, Introduction to plastic analysis and design.

Reference books:
Teaching Resource for Structural Steel Design, Vol. 1, 2, 3: Institute for Steel Development and Growth,
Kolkatta.
Design of Steel Structure by N. Subramaniam, 2007, Oxford University Press.

Analysis of Structures:
Statics of Structures and Degree of Indeterminacy, Analysis of Determinate and Indeterminate Structures,
Deflection of beams and Frames, Influence lines and its Applications, Introduction to Matrix Methods of
Structural Analysis.

Reference books:
Fundamentals of Structural Analysis by Kenneth M. Leet & Chia-Ming Uang, McGraw Hill Publications,
New Delhi.

Transportation Engineering:
Highway Planning and Geometric Design, Highway Materials & Pavement Design, Traffic Engineering &
Transport Planning, Railway Engineering, Airport Engineering.

Reference books:
Khanna, S.K. and Justo C.E.G : Highway Engineering,Nem Chand and Bros. Roorkee(U.P.), 5th Edition
1982.
Khanna, S.K., Arora,M.G. and Jain S.S. : Airport Planning and Design, Nem Chand and Bros.
Roorkee(U.P.), 4th Edition 1990.
Kadiyali L.R., Principles of Highway Engineering, Khanna Publications, New Delhi 1989.
S.C. Saxena & S Arora, Railway Engineering, Dhanapatrai & Sons, 1986.
Relevant IRC and IS Codes of Practice.

Geodesy:
Chain Survey, Compass Survey & leveling, Theodolite, Tachometric surveying & Traversing, Curve
Ranging, Contouring & Plane Tabling, Trigonometric Leveling, Areas and Volumes, Spherical triangle
system, astronomical coordinate system, Geodetic surveying, Total Stations and other advancements in
surveying.

Reference books:
Arora K.R.; Surveying (in SI units), Standard Publisher., Vol. I, II and III (Latest edition)
Punmia B.C; Surveying; Laxmi Publishers, Vol I, II and III, (1990)
Duggal S.K.; Surveying; Tata McGraw-Hill, New Delhi, Vol I and II (1996)

Mechanics and Strength of Materials :
Fundamental principles of Mechanics, Introduction to Mechanics of Deformable Bodies, Forces and
Moments Transmitted by Slender Members, Stress and Strains, Deflections due to Bending.

Reference books :
An Introduction to Mechanics of Solids, Second Edition with SI units Crandall/Dahl/Lardner, Tata
McGraw Hill Publication, New Delhi.
Strength of Materials BC Punamia, Ashok Jain, Arun Jain, Laxmi Publications, New Delhi.
Mechanics of Materials Fifth Edition James M. Gere, Thomson Brooks/Cole.

Construction Planning and Technology:
Building materials, Geotechnical materials, compaction & stabilization, Geotechnical materials, compaction
stabilization, Construction planning and scheduling, Advanced construction techniques.

Reference books:
Arora. S.P. & S.P. Bindra. ‘A Textbook of Building construction,’ Dhanpat Rai & Sons, 4th ed., 1988
Penrifoy, R.L., & C.L., Schexnayder, ‘Construction Planning, Equipment and Methods’, T.M.H., 8th edition,
2003.
Project Management for Construction: Chris Hendrickson First Edition originally printed by Prentice Hall,
1989,
12
Gupta R., Construction Planning & Technology’, CBS, 1994.

Soil Mechanics and Foundation Engineering:
Index properties, classification and compaction of soil, Effective stress, permeability and seepage through
soil., Stresses due to applied load and settlements, Shear strength of soil, stability of slopes and earth
pressure, Shallow foundations, deep foundations and soil exploration,

Reference books:
Ranjan, G. and Rao, A.S.R. (2002), “Basic and Applied Soil Mechanics” New Age International
Publishers.

Water and Wastewater Treatment :
Introduction to the basics of water supply and wastewater engineering, Natural methods for water and
wastewater treatment, Unit operation for water and wastewater treatment, Treatment and disposal of
sludge, Advance methods of treatment for water and wastewater, application of hydraulics in designing of
sewers and water supply distribution networks

Reference books:
Water Supply Engineering And Wastewater Engineering by B.C.Punmia. Laxmi Publications (P) Ltd.,
New Delhi. 1995 & 1998.
Water Supply Engineering and Sewage & Wastewater Disposal Engineering by S.K.Garg. Khanna
Publishers, Delhi, 1998 & 2000.
Environmental Engineering by H.S. Peavy. McGraw Hill International editions, 1985.
Laboratory Manual for Civil Engineering by H.S.Moondra and R. Gupta. CBS Publishers, 1992.
Relevant IS codes, National and International Journals pertaining to the subject.

Hydraulics and Fluid Mechanics:
Fluid Statics and Fluid Flow Kinematics, Boundary Layer Theory, Flow through pipes and open channels
under different conditions & types, Dimensional Analysis and Similitude, Application of both Hydraulic and
Hydrologic processes.

Reference books:
Modi P.N. and Seth S.M., “Hydraulics and Fluid Mechanics”, Standard Book House, Post Box 1074, New
Delhi,2005
Patra K.C., “ Hydrology and Water Resources Engineering”, Narosa Publishing House, 2001.
Mays L.W., “Water Resources Engineering”, John Weley and Sons, 2001.

Electrical and Electronics Engineering
Analog Electronics:
Operational amplifier basics, ideal and practical Op-amp configurations, special purpose linear Op-amp
circuits: instrumentation amplifiers, isolation, programmable, negative feedback amplifiers etc., Active
filters, IC filters; non-linear operational amplifier circuits, analog multipliers, precision and wave shaping
circuits, comparators and Schmitt triggers and applications, Signal generators: sinusoidal and non- sinusoidal oscillators, integrated circuits timers. function generators, PLL, Voltage Regulators; voltage
regulator IC, switched capacitor voltage converters, switching regulators, Power amplifiers and output
stage circuits, IC power amplifiers, high frequency amplifiers, tuned amplifiers.

For detailed syllabus here is attachment: