Here I am sharing the B Tech Ist Year syllabus [Common to all B.Tech. Branch except Agricultural Engineering] of Uttar Pradesh Technical University with you

**B Tech Ist Year Syllabus:** **Engineering Mathematics**
Unit - 1: Differential Calculus - I

Leibnitz’s theorem, Partial derivatives, Euler’s theorem for homogeneous functions, Total derivatives,

Change of variables, Curve tracing: Cartesian and Polar coordinates.

Unit - 2: Differential Calculus - II

Taylor’s and Maclaurin’s Theorems, Expansion of function of several variables, Jacobian, Approximation

of errors, Extrema of functions of several variables, Lagrange’s method of multipliers ( Simple

applications).

Unit - 3: Linear Algebra

Inverse of a matrix by elementary transformations, Rank of a matrix ( Echelon & Normal form), Linear

dependence, Consistency of linear system of equations and their solution,. Characteristic equation,

Eigen values and eigen vectors, Cayley-Hamilton Theorem,A brief introduction to Vector

Spaces,Subspaces. Rank & Nullity. Linear transformations.

Unit - 4: Multiple Integrals

Double and triple integrals, Change of order of integration, Change of variables, Application of

integration to lengths, Volumes and Surface areas – Cartesian and Polar coordinates. Beta and Gamma

functions, Dirichlet’s integral and applications.

Unit - 5: Vector Calculus

Point function, Gradient,Divergence and Curl and their physical interpretations, Vector identities,

Directional derivatives. Line,Surface and Volume integrals, Applications of Green’s, Stoke’s and Gauss

divergence theorems (without proofs),

**Text Books:**
1. E. Kreyszig :Advanced Engineering Mathematics-Volume-I,JohnWiley & Sons

2. B. V. Ramana, Higher Engineering Mathematics, Tata Mc Graw- Hill Publishing

Company Ltd.

3. R.K.Jain & S.R.K. Iyenger, Advance Engineering Mathematics, Narosa

Publishing House.

**Reference Books:**
1. B.S. Grewal, Higher Engineering Mathematics, Khanna Publishers.

2. Peter V. O’ Neil, Advanced Engineering Mathematics, Thomas ( Cengage) Learning.

3. Thomas & Finley, Calculus, Narosa Publishing House

4. Rukmangadachari, Engineering Mathematics – I, Pearson Education.

Unit-1 Fundamentals of Communication

Technical Communication: features: Distinction between General and Technical communication;

Language as a tool of communication; Levels of communication: Interpersonal, Organizational, Mass

communications; The flow of Communication: Downward, Upward, Lateral of Horizontal (Peer group):

Importance of technical communication; Barriers to Communication.

Unit-II Constituents of Technical Written Communication

Words and Phrases: Word formation. Synonyms and Antonyms; Homophones; Select vocabulary of

about 500-1000 New words; Correct Usage: all Parts of Speech; Modals; Concord; Articles; Infinitives;

Requisites of Sentence Construction: Paragraph Development: Techniques and Methods- Inductive,

Deductive, Spatial, Linear, Chronological etc; The Art of Condensation-various steps.

Unit-III Business Communication

Principles, Sales & Credit letters;

Claim and Adjustment Letters; Job application and Resumes.

Reports: Types; Significance; Structure, Style & Writing of Reports.

Technical Proposal; Parts; Types; Writing of Proposal; Significance.

Negotiation & Business Presentation skills.

Unit-IV Presentation Strategies and Listening Skills.

Defining Purpose; Audience & Local; Organizing Contents; Preparing Outline; Audio-visual Aids;

Nuances of Delivery; Body Language; Dimensions of Speech: Syllable; Accent; Pitch; Rhythm;

Intonation; Paralinguistic features of voice; Listening Skills: Active Listening, Passive Listening. methods

for improving Listening Skills.

Unit-V Value-Based Text Readings

Following essays form the suggested text book with emphasis on Mechanics of writing.

(i) Humanistic and Scientific Approaches to Human Activity by Moody E. Prior

(ii) The Language of Literature and Science by A. Huxley

(iii) Man and Nature by J.Bronowski

(iv) The Social Function of Literature by Ian Watt

(v) Science and Survival by Barry Commoner

(vi) The Mother of the Sciences by A.J.Bahm

(vii) The Effect of Scientific Temper on Man by Bertrand Russell.

**Text Book**
1. Improve Your Writing ed. V.N.Arora and Laxmi Chandra, Oxford Univ. Press, 2001, New Delhi..

2. Technical Communication: A Practical Approach: Madhu Rani and Seema Verma- Acme Learning,

New Delhi-2011

3. Technical Communication- Principles and Practices by Meenakshi Raman & Sangeeta Sharma,

Oxford Univ. Press,2007, New Delhi.

**Reference Books**
1. Communication Skills for Engineers and Scientists, Sangeeta Sharma et.al. PHI Learning

Pvt.Ltd,2011, New Delhi.

2. Business Correspondence and Report Writing by Prof. R.C.Sharma & Krishna Mohan, Tata McGraw

Hill & Co.Ltd.,2001, New Delhi.

3. Word Power Made Easy by Norman Lewis, W.R.Goyal Pub. &Distributors, 2009,Delhi.

4. Developing Communication Skills by Krishna Mohan, Mecra Bannerji- Macmillan India Ltd. 1990,

Delhi.

5. Manual of Practical Communication by L.U.B.Pandey: A.I.T.B.S. Publications India Ltd.; Krishan

Nagar, 2013, Delhi.

6. English Grammar and Usage by R.P.Sinha, Oxford University Press, 2005, New Delhi.

7. Spoken English- A manual of Speech and Phonetics by R.K.Bansal & J.B.Harrison, Orient

Blackswan, 2013, New Delhi.

8. Business English by Ken Taylor, Orient Blackswan, 2011, New Delhi.

**ENGINEERING CHEMISTRY**
UNIT-I

Molecular orbital theory and its applications in diatomic molecules. Band theory of solids.

Lequid crystals. Application of liquid crystals. Types of unit cell, space lattice (only cubes), Bragg’s

equation. Calculation of density of unit cell. One and two dimensional imperfections in solids. Structure

and applications of Graphite and Fullerenes.

UNIT-II

Polymers, its classification and their applications. Chain and Step growth polymerization.

Thermoplastic and Thermosetting resins. Elastomers and synthetic fibres. Conducting and biodegradable

polymers. General methods of synthesis of organometallic compound (Grignard Reagent) and their

applications in polymerization and catalysis.

UNIT-III

Stereochemistry with special reference to optical isomerism. Types of organic reactions with

special reference to elimination and substitution reaction. Elementary ideas and simple applications of

UV, Visible, IR and 1HNMR spectral Techniques.

UNIT-IV

Hardness of water. Disadvantage of hard water. Techniques for water softening; Calgon, Zeolite,

Lime-Soda, Ion exchange resin, Reverse osmosis. Water treatment method for boiler feed by internal

process. Phase Rule and its application to one component system (water and sulphur).

UNIT-V

Fuels; Classification of fuels. Analysis of Coal. Determination of Calorific values. Biogas and

Biomass. Cement and its application. Plaster of paris. Lubricant. Corrosion; causes and prevention.

**Textbook**
1. Chemistry for Engineers, by S. Vairam and Suba Ramesh; Wiley India

**Reference Books**
1. Textbook of Engineering Chemistry by Dr. Gopal Krishna Bhatt, Acme Publishers

2. Chemistry (9th ed), by Raymond Chang, Tata McGraw-Hill

3. Chemistry Concepts and Applications by Steven S. Zumdahl; Cengage Learning

4. Engineering Chemistry, Wiley India

5. Engineering Chemistry Author: Abhijit Mallick, Viva Books

6. Text Book of Engineering Chemistry by Harsh Malhotra; Sonali Publications

7. Concise Inorganic Chemistry by J.D. Lee; Wiley India

8. Organic Chemistry (6 ed) by Morrison & Boyd; Pearson Education

9. Physical Chemistry by Gordon M. Barrow; Mc-Graw Hill

10. Organic Chemistry, Volume 1(6 ed)& 2 (5ed) by I. L. Finar; Pearson Education

11. Atkins’ Physical Chemistry by Peter Atkins & Julio De Paula; Oxford University Press

**Engineering Mechanics**
I Force Systems:

• Basic concepts: Definitions, Basic assumptions, Scalar & Vector

quantities, Free, Forced and fixed vectors.

• Force System: Force, Classification & Representation, Force as a

Vector, Composition of forces, Parallelogram Law, Resolution,

Principle of Transmissibility of forces

• Moment of a force, Vector representation, Moment for coplanar

force system, Varignon’s theorem

• Couple, Vector representation, Resolution of a force into a force

and a couple.

• Force Systems: Coplanar Concurrent Force system and Coplanar

Non Concurrent force systems, Resultant of coplanar force system.

• Equilibrium of coplanar force system, Free body diagrams,

Determination of reactions, Equilibrium of a body under three

forces, Lami’s theorem.

Friction:

• Introduction, Wet and Dry friction, Theory of Dry friction, Angle

of friction, Angle of Repose, Cone of friction, Coulomb’s laws of

friction.

II Basic Structural Analysis:

• Plane Truss, Difference between truss and frame, Perfect and

imperfect truss, Assumptions and Analysis of Plane Truss , Method

of joints, Method of section, Zero force members.

• Beams, Types of beams, Statically Determinate Beams, Shear force

and bending moment in beams, Shear force and bending moment

diagrams, Relationships between load, shear and bending moment.

III Centroid and Moment of Inertia:

• Center of Gravity, Center of Mass and Centroid of curves, areas,

volumes, Determination of centroid by integration, Centroid of

composite bodies.

• Definition of Moment of inertia of area, Perpendicular axis theorem

and Polar moment of Inertia, Parallel axis theorem, Moment of

inertia of simple areas by integration, Moment of Inertia of

Composite Areas.

• Moment of Inertia of masses, Parallel axis theorem for mass

moment of inertia, Mass moment of inertia of simple bodies by

integration, Mass moment of inertia of composite bodies.

IV Kinematics of Rigid Body:

• Introduction, Absolute motion, Plane rectilinear motion of rigid

body, Plane curvilinear Motion of rigid body, x-y and n-t

components, Rotation of rigid bodies, Relative Motion, Plane

Motion of rigid bodies, Instantaneous center of zero velocity

Kinetics of Rigid Body:

• Introduction, Force, Mass and Acceleration, Newton’s law of

**References:**
1. “Engineering Mechanics: Statics” , J.L Meriam , Wiley

2. “Engineering Mechanics: Dynamics” , J.L Meriam , Wiley

3. “Engineering Mechanics ” , F L Singer

4. “Engineering Mechanics : Statics and Dynamics”, R. C. Hibbler, Pearson

5. “Engineering Mechanics ” , Thimoshenko & Young , 4ed, Tata McGraw Hill

6. “Engineering Mechanics: Statics and Dynamics”, A. Nelason, McGraw-Hill

7. “Engineering Mechanics : Statics and Dynamics”, Shames and Rao, Pearson

8. “Engineering Mechanics : Statics and Dynamics”, S. Rajasekaran and G.

Sankarasubramanian, Vikas

9. “Engineering Mechanics”, V. Jayakumar and M. Kumar, PHI

10. “Engineering Mechanics”, D. P. Sharma, PHI

11. “Engineering Mechanics”, M. V. Sheshagiri Rao, and D. Rama Durgaiah, University Press.

12. “Engineering Mechanics” , K L Kumar and V. Kumar, McGraw Hill

13. “Engineering Mechanics” , Bhattacharya , Oxford Press

14. “Engineering Mechanics ” , Dr Sadhu Singh , Umesh Publications

15. “Engineering Mechanics ” , Bhavikatti , New Age

16. “Strength of Materials” F. L.Singer

17. “Strength of Materials” Thimoshenko & Young

18. “Mechanics of Solids”, R. C. Hibbler, Pearson

19. “Mechanics of Solids”, A. Mubeen, Pearson

**ELECTRICAL ENGINEERING**

Unit-I
1. D C Circuit Analysis and Network Theorems:

Circuit Concepts: Concepts of network, Active and passive elements, Voltage and current sources,

Concept of linearity and linear network, Unilateral and bilateral elements, R, L and C as linear elements,

Source transformation

Kirchhoff’s laws; Loop and nodal methods of analysis; Star-delta transformation

Network theorems: Superposition theorem, Thevenin’s theorem, Norton’s theorem, Maximum Power

Transfer theorem (Simple numerical problems)

Unit-II

2. Steady- State Analysis of Single Phase AC Circuits:

AC fundamentals: Sinusoidal, square and triangular waveforms – Average and effective values, Form and

peak factors, Concept of phasors, phasor representation of sinusoidally varying voltage and current,

Analysis of series, parallel and series-parallel RLC Circuits, Resonance in series and parallel circuits,

bandwidth and quality factor; Apparent, active & reactive powers, Power factor, Causes and problems of

low power factor, Concept of power factor improvement (Simple numerical problems)

Unit-III

3. Three Phase AC Circuits:

Three phase system-its necessity and advantages, Star and delta connections, Balanced supply and

balanced load, Line and phase voltage/current relations, Three-phase power and its measurement

(simple numerical problems).

4. Measuring Instruments:

Types of instruments, Construction and working principles of PMMC and moving iron type voltmeters &

ammeters, Single phase dynamometer wattmeter, Use of shunts and multipliers (Simple numerical

problems on shunts and multipliers)

Unit-IV

5. Introduction to Earthing and Electrical Safety:

Need of Earthing of equipment and devices, important electrical safety issues. 2

6. Magnetic Circuit:

Magnetic circuit concepts, analogy between electric & magnetic circuits, B-H curve, Hysteresis and eddy

current losses, Mutual coupling with dot convention, Magnetic circuit calculations. 3

1

7. Single Phase Transformer:

Principle of operation, Construction, EMF equation, Equivalent circuit, Power losses, Efficiency (Simple

numerical problems), Introduction to auto transformer.

Rest of the Syllabus is attached in below file which is free of cost

**Address:**
IET Campus, Sitapur Road,

Lucknow – 226021,

Uttar Pradesh

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