MA 9161 Mathematics II syllabus download

 MA 9161 MATHEMATICS - II L T P C
(Common to all branches of B.E. / B.Tech Programmes) 3 1 0 4


AIM:

To introduce the effective mathematical tools needed for solving engineering problems
and to emphasize the underlying mathematical principles in specific situations
confronting practicing engineers.
OBJECTIVES:

•  To make the student acquire sound knowledge of techniques in solving ordinary differential equations that model engineering problems
• To acquaint the student with the concepts of vector calculus, needed for problems in all engineering disciplines
•  To develop an understanding of the standard techniques of complex variable theory so as to enable the student to apply them with confidence, in application
• areas such as heat conduction, elasticity, fluid dynamics and flow the of electric current
•  To make the student appreciate the purpose of using transforms to create a new domain in which it is easier to handle the problem that is being investigated

UNIT I DIFFERENTIAL EQUATIONS 9+3
Method of variation of parameters – Method of undetermined coefficients – Homogenous
equation of Euler’s and Legendre’s type – System of Simultaneous linear differential
equations with constant coefficients.

UNIT II VECTOR CALCULUS 9+3
Gradient and directional derivative – Divergence and Curl – Irrotational and Solenoidal
vector fields – Line integral over a plane curve – Surface Integral and Volume Integral -
Green’s, Gauss divergence and Stoke’s theorems – Verification and Application in
evaluating line, surface and volume integrals.

UNIT III ANALYTIC FUNCTION 9+3
Analytic functions – Necessary and sufficient conditions for analyticity - Properties –
Harmonic conjugates – Construction of analytic function - Conformal Mapping – Mapping
by functions
2 1
, , , w z c az z
z
  - Bilinear transformation.

UNIT IV COMPLEX INTEGRATION 9+3
Line Integral - Cauchy’s theorem and integral formula – Taylor’s and Laurent’s Series –
Singularities – Residues – Residue theorem – Application of Residue theorem for
evaluation of real integrals – Use of circular contour and semicircular contour with no
pole on real axis.

UNIT V LAPLACE TRANSFORMS 9+3
Existence conditions – Transforms of elementary functions – Basic properties –
Transforms of derivatives and integrals – Initial and Final value theorems – Inverse 18
transforms – Convolution theorem – Transform of periodic functions – Application to
solution of linear ordinary differential equations with constant coefficients.

L: 45, T: 15, TOTAL : 60 PERIODS

TEXT BOOKS
1. Grewal, B.S. “Higher Engineering Mathematics”, Khanna Publications (2007)
2. Ramana, B.V. “Higher Engineering Mathematics” Tata McGraw Hill (2007).

REFERENCES
1. Glyn James, “Advanced Modern Engineering Mathematics, Pearson Education
(2007)
2. Jain R.K. and Iyengar S.R.K., Advanced Engineering Mathematics (3
rd
Edition)
Narosa Publications, Delhi (2007).
For more information contact us via Studentstrainer@gmail.com.

HS 9161 Technical English II Syllabus download

HS 9161 TECHNICAL ENGLISH II L T P C
(For all branches of B.E. / B.Tech. Programmes) 2 0 2 3

AIM:

To help students specialising in the field of Engineering and Technology develop their
proficiency in oral and written communication in Technical English.
OBJECTIVES:

•  To enable students develop their critical thinking skills.
• To enable students develop higher order reading skills such as interpreting, evaluating and analysing.
•  To enable students develop their active listening skills.
• To enable students participate successfully in Group Discussions.

UNIT I 6
Word formation using prefixes ‘self’ – modified cloze – contextual meanings -
Sequencing words - future simple passive form - Predicting content – Intensive reading –
interpreting advertisements – Listening and completing table – Writing extended
definition – describing a process using sequence words – developing ideas into
paragraphs – writing about the future.

UNIT II 6
Identifying objects and their use – word puzzles using words with suffixes – Prepositions
– adverbs – structures that express purpose - adjectives – group discussion – Reading -
skimming for content and analysis of style – modes of non verbal communication –
Listening and categorising data in tables – Writing formal letter – writing paragraphs on
various issues.

UNIT III 6
Stress and intonation - Cause and effect expressions - Tense forms - simple past and
past continuous - Different grammatical forms of the same word - Critical reading -
guided note-making and evaluating content - Listening – guided note-taking –
completing a table – Role-play – group discussion techniques - discussing an issue –
offering suggestions – Sequencing jumbled sentences using coherence markers–
Writing a report – Writing recommendations – Writing a letter of complaint.

UNIT IV 6
Numerical adjectives - Prepositions – use of intensifying prefixes – phrasal verbs -
different grammatical forms of the same words – cloze exercise - Reading a text and
evaluating the content - advertisements – analysing style and language - Listening and
entering classified information – Intensive listening and completing the steps of a
process - Role-play - Group discussion expressing opinions and convincing (agreeing
and disagreeing) - Giving oral instructions – Descriptive writing - writing based on hints
– writing argumentative paragraphs – formal letter writing – letter of application with
biodata / CV Writing safety instructions - warnings and notices – preparing checklist –
email communication.
16
UNIT V 6
Identifying problems, their causes and finding solutions using case studies – creative
and critical thinking – levels of thinking – thinking strategies – brainstorming - analytical
reasoning skills – evaluative essay – decision making – conflict resolution

English Language Lab (30 Periods)
1. Listening: (10)

Recognising English sounds – accents - listening & answering questions - gap filling -
listening & note making - listening to telephonic conversations - listening to speeches.

2. Speaking: (10)
Pronouncing words & sentences correctly - word stress - conversation practice.
3. Reading: (5)
Cloze test - Reading and answering questions - sequencing of sentences.
4. Writing: (5)
Correction of errors - Blogging.
TOTAL : 60 PERIODS
TEXTBOOK
1. Department of Humanities & Social Sciences, Anna University. English for Engineers
and Technologists, Combined edition Vols. I & II. Chennai: Orient Longman, Pvt. Ltd.
2006, Themes 5 to 8 (for Units 1 – 4)
2. Sunita Mishra & C. Muralikrishna, Communication Skills for Engineers, Pearson
Education, Second Impression, 2007. ( for Unit 5)

REFERENCES
1. Ashraf, R.M, Effective Technical Communication, New Delhi: Tata McGraw Hill,
2007.
2. Thorpe, E & Thorpe, S, Objective English, New Delhi : Pearson Education, 2007.
3. Joan Van, Emden, A Handbook of writing for Engineers, Cambridge University
Press, 1997
4. Website: www.englishclub.com

LAB REQUIREMENTS
1. Teacher – Console and systems for students
2. English Language Lab Software
3. Tape Recorders

GE9113 Engineering Practices laboratory syllabus download

GE 9113 ENGINEERING PRACTIES LABORATORY L T P C
(Common to all Branches of B.E. / B.Tech. Programmes) 0 0 3 2

OBJECTIVE
To provide exposure to the students with hands-on experience on various basic
engineering practices in Civil, Mechanical, Electrical and Electronics Engineering.
GROUP – A (CIVIL & ELECTRICAL)

1. CIVIL ENGINEERING PRACTICE 12

Plumbing
Basic pipe connections involving the fittings like valves, taps, coupling, unions,
reducers, elbows and other components used in household fittings. Preparation of
plumbing line sketches.
Laying pipe connection to the suction side of a pump – inlet.
Laying pipe connection to the delivery side of a pump – out let.
Practice in mixed pipe connections: Metal, plastic and flexible pipes used in
household appliances.
Wood Work
Sawing, planning and making common joints: T-Joint, Mortise and Tennon joint,
Dovetail joint.
Study
Study of joints in door panels, wooden furniture 13
Study of common industrial trusses using models.

2. ELECTRICAL ENGINEERING PRACTICE 9
Basic household wiring using switches, fuse, indicator – lamp etc.,
Preparation of wiring diagrams
Stair case light wiring
Tube – light wiring
Study of iron-box, fan with regulator, emergency lamp
GROUP – B (MECHANICAL AND ELECTRONICS) 15

3. MECHANICAL ENGINEERING PRACTICE
Welding
Arc welding of butt joints, lap joints, tee joints
Gas welding Practice.
Basic Machining
Simple turning, drilling and tapping operations.
Machine assembly Practice.
Study and assembling the following:
Centrifugal pump, mixies and air conditioners.
Demonstration on
(a) Smithy operations like the production of hexagonal bolt.

(b) Foundry operation like mould preparation for grooved pulley.
4. ELECTRONIC ENGINEERING PRACTICE 9


Soldering simple electronic circuits and checking continuity.

Assembling electronic components on a small PCB and testing. 14
Study of Telephone, FM radio, low-voltage power supplies.
TOTAL: 45 PERIODS

CY9112 Chemistry Laboratory syllabus download

CY9112 CHEMISTRY LABORATORY L T P C
(Common to all branches of Engineering and Technology) 0 0 2 1


I. WEIGHING AND PREPARATION OF STANDARD SOLUTIONS
i) Preparation of molar and normal solutions of the following substances oxalic
acid, sodium carbonate, sodium hydroxide, and hydrochloric acid.
ii) Preparation of buffer solutions: borate buffer, phosphate buffer using
Henderson equation.

2. WATER ANALYSIS
i) Determination of total hardness, temporary & permanent hardness of water
by EDTA method.
i) Determination of DO content by Winkler’s method.
ii) Determination of alkalinity in a water sample.
iii) Determination of chloride content of water sample by argentometric method.

3. PH-METRY
To find out the strength of given hydrochloric acid by sodium hydroxide.

4. CONDUCTOMETRY
i) Conductometric titration of mixture of acids
ii) Conductometric precipitation titration using BaCl2- Na2SO4

5. POTENTIOMETRY
i) Redox titration – Iron Vs. dichromate

6. SPECTROPHOTOMETRY
i) To determine max of a colored solution such as potassium permanganate.
ii) To determine the iron content of an unknown solution (1,10- phenanthroline/
thiocyanate method)

7. FLAME PHOTOMETRY
i) To determine sodium and potassium in water.

8. VISCOMETRY
i) Determination of molecular weight of a polymer

9. WATER POLLUTION
i) COD analysis of a waste water by dichromate method. 12
10. KINETICS
i) Determination of reaction rate constant of acid catalyzed hydrolysis of ester.

11. ADSORPTION
i) Adsorption of acetic acid on activated charcoal.
TOTAL: 30 PERIODS

REFERENCE BOOKS
1. A text of quantitative Inorganic Analysis, A. L. Vogel , ELBS London. 1995.
2. Experiments in physical chemistry, D.P. Shoemarker and C.W. Gardad, McGraw
Hill, London, 2001.

GE 9112 Fundamentals of Computing Syllabus download

GE 9112 FUNDAMENTALS OF COMPUTING L T P C
(Common to all branches of B.E. / B.Tech. Programmes) 3 0 0 3
AIM:
To introduce the basics of computing and the fundamentals of C programming.

OBJECTIVES:

•  To introduce the fundamentals of computing systems.
•  To introduce the concepts of internet and WWW.
•  To teach programming in C.

UNIT I 9
Computer systems – Exploring computers – Inside the system – Processing data –
CPUs – Types of storage devices - Operating systems basics – Networking basics. 10
UNIT II 9
The internet and the WWW – Internet services – connecting to the internet - Working
with applications software – productivity software – graphics and multimedia – Data base
Management systems – Creating computer program.

UNIT III 9
C programming fundamentals – compilation process – variables – Data types –
Expressions – looping – decisions.

UNIT IV 9
Arrays - Working with functions – structures – character strings – pre processor.

UNIT V 9
Pointers – Dynamic memory allocation – linked list - Applications

TOTAL: 45 PERIODS
TEXT BOOKS

1. Peter Norton, “Introduction to Computers”, Sixth Edition, Tata McGraw Hill, 2007.
2. Stephen G. Kochan, “Programming in C”, Third Edition, Pearson Education, 2007.

REFERENCES
1. Kernighan,B.W and Ritchie,D.M, “The C Programming language”, Second Edition,
Pearson Education, 2006
2. Ashok N. Kamthane, “Computer programming”, Pearson Education, 2007.
3. Kenneth A. Reek, “Pointers on C”, Pearson Education, 2007.
4. Dromey,R.G, “How to solve it by Computer”, Pearson Education, 2007

GE9111 Engineering Graphics Syllabus

GE 9111 ENGINEERING GRAPHICS L T P C
(Common to All branches of B.E. / B.Tech. Programmes) 2 0 3 4


OBJECTIVES:
To develop in students the graphic skills that would enable them to communicate the
concepts, ideas and design of engineering products
To provide an exposure to the national/international standards related to technical
drawings
8
INTRODUCTION 2
Importance of graphics in engineering applications – use of drafting instruments – BIS
specifications and conventions – size, layout and folding of drawing sheets – lettering
and dimensioning

UNIT I FREE HAND SKETCHING OF ENGG OBJECTS AND
CONSTRUCTION OF PLANE CURVE 3+9=12
Pictorial representation of engineering objects – representation of three dimensional
objects in two dimensional media – need for multiple views – developing visualization
skills through free hand sketching of three dimensional objects.

Polygons & curves used in engineering practice– methods of construction– construction
of ellipse, parabola and hyperbola by eccentricity method – Cycloidal and involute
curves- construction - drawing of tangents to the above curves.

UNIT II ORTHOGRAPHIC PROJECTION: PROJECTION OF POINTS, LINES
AND PLANE SURFACES 6+9=15
General principles of orthographic projection – first angle projection – layout of views –
projections of points, straight lines located in the first quadrant – determination of true
lengths of lines and their inclinations to the planes of projection – traces – projection of
polygonal surfaces and circular lamina inclined to both the planes of projection

UNIT-III ORTHOGRAPHIC PROJECTION: PROJECTION OF SOLIDS AND
SECTIONS OF SOLIDS 6+9=15
Projection of simple solids like prism, pyramid, cylinder and cone when the axis is
inclined to one plane of projection –change of position & auxiliary projection methods-
sectioning of above solids in simple vertical positions by cutting plane inclined to one
reference plane and perpendicular to the other and above solids in inclined position with
cutting planes parallel to one reference plane – true shapes of sections

UNIT IV DEVELOPMENT OF SURFACES AND INTERSECTION OF SOLIDS
6+9=15
Need for development of surfaces – development of lateral surfaces of simple and
truncated solids – prisms, pyramids, cylinders and cones – development of lateral
surfaces of the above solids with square and circular cutouts perpendicular to their axes.
Intersection of solids and curves of intersection –prism with cylinder, cylinder & cylinder,
cone & cylinder with normal intersection of axes and with no offset.

UNIT V ISOMETRIC AND PERSPECTIVE PROJECTIONS 4+9=13
Principles of isometric projection – isometric scale – isometric projections of simple
solids, truncated prisms, pyramids, cylinders and cones – principles of perspective
projections – projection of prisms, pyramids and cylinders by visual ray and vanishing
point methods.

COMPUTER AIDED DRAFTING (DEMONSTRATION ONLY) 3
Introduction to computer aided drafting software packages and demonstration of their
use.

L=30 P=45 TOTAL: 75 PERIODS

9
TEXT BOOKS
1. Bhatt,N.D, “Engineering Drawing”, Charotar Publishing House, 46
th
Edition-2003
2. Natarajan,K.V, “ A Textbook of Engineering Graphics”, Dhanalakshmi Publishers,
Chennai, 2006 .

REFERENCES
1. Shah,M.B and Rana,B.C.,”Engineering Drawing”, Pearson Education,2005,
2. Gopalakrishnan.K.R,. “Engineering Drawing I & II”, Subhas Publications 1998.
3. Dhananjay,A.J., “Engineering Drawing with Introduction to AutoCAD”, Tata McGrawHill Publishing Company Ltd., 2008.
4. Venugopal,K. and Prabhu Raja, V., “Engineering Graphics”, New Age
International(P) Ltd.,2008.

Codes from Bureau of Indian Standards

1. IS 10711-2001: Technical Products Documentation – Size and Layout of Drawing
Sheets
2. IS 9609 (Parts 0 & 1 )-2001: Technical Products Documentation – Lettering
3. IS 10714(Part 20)-2001 & SP 46 -2003: Lines for Technical Drawings
4. IS 11669-1986 & SP 46-2003: Dimensioning of Technical Drawings
IS 15021(Parts 1 to 4)-2001: Technical Drawings-Projection Methods

Special points applicable to University Examinations on Engineering Graphics:
1. There will be five questions one from each unit covering all units of the syllabus
2. All questions will carry equal marks of 20 each making a total of 100
3. Answer paper shall consist of drawing sheets of A3 size only. The students will be
permitted to use appropriate scale to fit solutions within A3 size
4. The examination will be conducted in appropriate sessions on the same day

CY9111 Engineering Chemistry

CY9111 ENGINEERING CHEMISTRY L T P C
(Common to all branches of Engineering and Technology) 3 0 0 3


AIM:
To gain a sound knowledge of thermodynamics, phase rule, surface chemistry and
catalysis, basic organic reaction mechanisms and principles and applications of
spectroscopy and nanochemistry.

OBJECTIVES:

• To make the student conversant with the
•  Applications of second law of thermodynamics.
• Phase rule and various types of alloys
•  Surface chemistry and its importance in adsorption and catalysis.
•  Basic principles in organic reaction mechanisms and principles and applications of spectroscopy
• Nanochemistry and its applications

UNIT I THERMODYNAMICS 9
Statement of second law of thermodynamics – Clausius and Kelvin – definition of
entropy – entropy change for a reversible process – entropy change for flow of heat in
an irreversible process – entropy change for an isothermal expansion of an ideal gas –
problems – entropy of phase transitions- problems – definition of free energy and work
function – Gibbs Helmholtz equation – applications – problems – derivation of Maxwell
relations – van’t Hoff isotherm and isochore – applications – problems – chemical
potential – variation of chemical potential with temperature and pressure - significance.

UNIT II PHASE RULE 9
Phase rule – statements and explanation of the terms involved – condensed phase rule
– construction of phase diagram – water system – sulphur system – phase rule for two
component alloy systems- thermal analysis – eutectic system - Lead-Silver system –
simple eutectic formation – Zinc-Magnesium alloy system – Iron-Carbon alloy system-
solved examples.

UNIT III SURFACE CHEMISTRY AND CATALYSIS 9
Adsorption – types of adsorption – adsorption of gases on solids – adsorption isotherm –
Freundlich and Langmuir isotherms – adsorption of solutes from solutions – applications
– role of adsorption in catalytic reactions – ion exchange adsorption – basic principles in
adsorption chromatography – Catalysis – classification – characteristics of catalysis -
auto catalysis – enzyme catalysis – Michaelis – Mention equation – solid acid catalysis.

UNIT IV ORGANIC REACTIONS AND SPECTROSCOPY 9
Electrophilic and nucleophilic, substitution and elimination reactions mechanisms –
reactions – Electromagnetic spectrum – absorption of radiation – electronic
transition – vibrational transition – rotational transition – intensities of spectral lines –
beer-lamberts law –type of instrument used for absorption measurements –UV & visible
spectroscopy, IR spectroscopy – principles of instrumentation and applications.

UNIT V NANOCHEMISTRY 9
Introduction to nanochemistry – preparations and properties of nanomaterials - nanorods
– nanowires – nanotubes – carbon nanotubes and their applications – nanocomposites –
sensors and electronic devices – nanochemistry in biology and medicines –
nanocatalysis.

TOTAL : 45 PERIODS
TEXT BOOKS:
1. Puri B.R., Sharma L.R. and Madhan S. Pathania, Principles of Physical Chemistry,
Shoban Lal Nagin Chand & Co. Jalandar –2000.
2. Jain P.C. and Renuka Jain, Physical Chemistry for Engineers, Dhanpet Rai &Sons,
New Delhi, 2001.

REFERENCES
1. Bahl B.S., Tuli G.D., and Arun Bahl, Essentials of Physical Chemistry, S. Chand
& Company Ltd., New Delhi, 2004.
2. Morrison R.T., & Boyd R.N., Organic chemistry, Prentice-Hall of India Private
Limited, New Delhi, 1992.
3. Sanyal S.N., Reactions, Rearrangements and Reagents Bharati Bhawan Publishers
& Distributors New Delhi, 2006.
4. G. B. Sergeev, Nanochemistry, Elsevier Science, New York, 2006

PH 9111 Engineering Physics I Syllabus download

PH 9111 ENGINEERING PHYSICS L T P C
(Common to ALL Branches of B.E. / B.Tech. Programmes) 3 0 0 3

OBJECTIVE:
To introduce the basic physics concepts relevant to different branches of Engineering
and Technology
UNIT I PROPERTIES OF MATTER 9
Elasticity – Poisson’s ratio and relationship between moduli (qualitative) – Stress-strain
diagram – factors affecting elasticity – bending of beams – cantilever – bending moment
– theory and experiment of Young’s modulus determination – Uniform and non-uniform
bending – I shaped girders – twisting couple – hollow cylinder – shaft – torsion
pendulum – determination of rigidity modulus – moment of inertia of a body (regular and
irregular).

UNIT II ACOUSTICS AND ULTRASONICS 9
Classification of sound – loudness and intensity – Weber-Fechner Law – standard
Intensity and Intensity level – decibel – reverberation – reverberation time –– rate of
growth and decay of sound intensity - derivation of Sabine’s formula – absorption
coefficient and its determination – factors affecting acoustics of buildings : focussing,
interference, echo, Echelon effect, resonance – noise and their remedies. Ultrasonics –
production – magnetostriction and piezoelectric methods – detection of ultrasound –
acoustic grating – Industrial applications – NDT - Ultrasonic method: scan modes and
practice.

UNIT III THERMAL PHYSICS 9
Thermal expansion - thermal stress – expansion joints – bimetallic strips - thermal
conductivity – conductions in solids – Forbe’s and Lees’ disc methods – thermal
insulation of buildings – Laws of thermodynamics – Otto and diesel engines and their
efficiency – entropy – entropy of Carnot’s cycle – reverse Carnot’s cycle – refrigerator.

UNIT IV APPLIED OPTICS 9
Interference - Michelson interferometer: construction, working, determination of wave
length and thickness – anti-reflection coating – air wedge and its application – Lasers –
Einstein’s coefficients – CO2, Nd:YAG and semiconductor lasers - construction and
working – applications – Optical fibres – classification (index & mode based) – principle
and propagation of light in optical fibres – acceptance angle and numerical aperture –
fibre optic communication system - active and passive sensors.

UNIT V SOLID STATE PHYSICS 9
Nature of bonding – growth of single crystals (qualitative) - crystal systems - crystal
planes and directions – expressions for interplanar distance – coordination number and
packing factor for simple structures: SC, BCC, FCC and HCP – structure and
significance of NaCl, ZnS, diamond and graphite – crystal imperfections: point defects,
dislocations and stacking faults.

TOTAL : 45 PERIODS

6
TEXT BOOKS:
1. Palanisamy, P.K., Engineering Physics, Scitech Publications (P) Lt, 2006.
2. Arumugam, M., Engineering Physics, Anuradha Publ., 2000.

REFERENCES:
1. Gaur R.K., and Gupta, S.L Engineering Physics, Dhanpat Raj Publ., 2003.
2. Sankar B.N., Pillai.S.O., Engineering Physics, New age International (P) Ltd, 2007

MA9111 Mathematics I syllabus download

MA 9111 MATHEMATICS – I L T P C
(Common to all branches of B.E. / B.Tech. Programmes) 3 1 0 4

AIM:
To make available the basic concepts of engineering mathematics, to prepare the
student for new concepts to be introduced in the subsequent semesters and to provide
the necessary mathematical skills that are needed in modeling physical processes by an
engineer.

OBJECTIVES:
 To develop the use of matrix algebra techniques this is needed by engineers for
practical applications.
 To make the student knowledgeable in the area of infinite series and their
convergence so that he/ she will be familiar with limitations of using infinite series
approximations for solutions arising in mathematical modeling
 To familiarize the student with functions of several variables which is needed in
many branches of engineering
 To introduce the concepts of improper integrals, Gamma, Beta and Error
functions which are needed in engineering applications
 To acquaint the student with mathematical tools needed in evaluating multiple
integrals and their usage

UNIT I MATRICES 9+3
Characteristic equation – Eigenvalues and Eigenvectors of a real matrix – Properties of
eigenvalues and eigenvectors – Cayley-Hamilton Theorem – Diagonalization of
matrices – Reduction of a quadratic form to canonical form by orthogonal transformation
– Nature of quadratic forms.

UNIT II INFINITE SERIES 9+3
Sequences – Convergence of series – General properties – Series of positive terms –
Tests of convergence (Comparison test, Integral test, Comparison of ratios and
D’Alembert’s ratio test) – Alternating series – Series of positive and negative terms –
Absolute and conditional convergence – Power Series – Convergence of exponential,
logarithmic and Binomial Series.

UNIT III FUNCTIONS OF SEVERAL VARIABLES 9+3
Limit and Continuity – Partial derivatives – Homogeneous functions and Euler’s theorem
– Total derivative – Differentiation of implicit functions – Change of variables – Jacobians
– Partial differentiation of implicit functions – Taylor’s series for functions of two variables
– Errors and approximations – Maxima and minima of functions of two variables –
Lagrange’s method of undetermined multipliers.

UNIT IV IMPROPER INTEGRALS 9+3
Improper integrals of the first and second kind and their convergence – Evaluation of
integrals involving a parameter by Leibnitz rule – Beta and Gamma functions –
Properties – Evaluation of integrals using Beta and Gamma functions – Error functions.

UNIT V MULTIPLE INTEGRALS 9+3
Double integrals – Change of order of integration – Double integrals in polar coordinates
– Area enclosed by plane curves – Triple integrals – Volume of Solids – Change of
variables in double and triple integrals – Area of a curved surface.

L: 45, T: 15, TOTAL : 60 PERIODS
TEXT BOOKS
1. Grewal B.S., Higher Engineering Mathematics (40
th
Edition), Khanna Publishers,
Delhi (2007).
2. Ramana B.V., Higher Engineering Mathematics, Tata McGraw Hill Co. Ltd., New
Delhi (2007).

REFERENCES
1. Jain R.K. and Iyengar S.R.K., Advanced Engineering Mathematics (3rd Edition),  Narosa Publications, Delhi (2007).
2. Bali N., Goyal M. and Watkins C., Advanced Engineering Mathematics (7 th Edition), Firewall Media, New Delhi (2007).
3. Greenberg M.D., Advanced Engineering Mathematics (2nd Edition), Pearson
Education, New Delhi (1998).

HS9111 Technical English I syllabus download

HS 9111 TECHNICAL ENGLISH I L T P C
(Common to all branches of B.E. / B.Tech. Programmes) 3 1 0 4


AIM:

To help students specialising in the field of Engineering and Technology develop their
proficiency in oral and written communication in Technical English.
OBJECTIVES:
 To enable students improve their vocabulary and employ the words
appropriately in different academic and professional contexts.
 To make students comprehend classroom lectures and technically oriented
passages.
 To enable students develop suitable reading strategies that could be adopted
while reading science related texts.
 To enable students acquire the ability to speak effectively in English in real
life situations and work-related situations.
 To train students in academic and professional writing.

UNIT I 9+3
Vocabulary - using words in context - use of suffixes to form nouns from verbs and
adjectives – adjectives, adverbs - matching words with meanings - Active and passive
voices – tenses - simple present, present continuous - comparative adjectives –
adverbial forms - Reading text: skimming for general information - specific details - note
making - cloze reading – Listening and transferring of information from text to graphic
forms - bar charts, flow-charts - Paragraph writing - descriptions using descriptive words
and phrases - organising information - Role play - conversational techniques –
discussions - oral reporting.

UNIT II 9+3
Vocabulary items - words with prefixes (“multi-“, “under-“) - Asking and answering
questions, error correction - spelling and punctuation - Reading Comprehension -
scanning for information – inferring meaning from context - Listening and guided notetaking - paragraph writing - using notes – giving suitable headings / subheadings for
paragraphs – Comparing and contrasting using expressions of comparison - Discussion
using creative ideas

UNIT III 9+3
Compound nouns - negative prefixes – antonyms – Use of modal verbs – making
sentences using phrases – tenses – simple past and present perfect - Reading and
guessing meanings in context - Listening and note taking - Channel conversion from text
to chart - Writing comparisons - making recommendations - coherence using discourse
markers - Discussion - role-play (explaining and convincing)

UNIT IV 9+3
Expanding nominal compounds – words with multiple meanings – Error correction -
prepositions - use of the prefix “trans-“ - compound adjectives - modal verbs to express
probability - simple past and present prefect - Reading – prediction of content -
understanding advertisements - scanning the text and comprehension check - Listening 3
for details - Writing definitions – expression of use and purpose - Role-play – discussion
- speculating about the future

UNIT V 9+3
Formation of nouns, verbs and adjectives from root words – some useful phrases and
expressions - cloze exercises - ‘If’ conditional clauses – gerunds (verbal nouns) -
Reading for comprehension - intensive reading - Accuracy in listening – listening to
discussion on specific issues - Group discussion - role-play (stating, discussing
problems and proposing solutions) - Planning a tour - Writing an itinerary - Writing
formal letters - letter to the editor

LECTURE – 45 TUTORIAL – 15 TOTAL – 60 PERIODS

TEXT BOOKS

1. Department of Humanities and Social Sciences, Anna University, English for
Engineers and Technologists, Vol. I and II (Combined Edition), Orient Longman, Pvt.
Ltd., 2006.Themes 1 to 4.
REFERENCES
1. Day, R.A, Scientific English, Second Edition, Hyderabad: Universities Press, 2000.
2. Mitra, B.K, Effective Technical Communication: A Guide for Scientists & Engineers,
New Delhi: Oxford University Press, 2006