# NIT Delhi EEE Syllabus

SYLLABUS

MH 101 MATHEMATICS – I (4-0-0)4

Matrix Theory: Elementary row and column operations on a matrix, Rank of matrix – Normal form – Inverse of a matrix using elementary operations –Consistency and solutions of systems of linear equations using elementary operations, Gauss Seidal iteration method – linear dependence and independence of vectors – Characteristic roots and vectors of a matrix – Caley-Hamillton theorem and its applications, Calculation of dominant eigen value by iteration – Reduction to diagonal form – Reduction of a quadratic form to canonical form – orthogonal transformation and congruent transformation. Differential Calculus: Rolle’s theorem; Mean value theorem; Taylor’s and Maclaurin’s theorems with remainders, Expansions; Indeterminate forms; Asymptotes and curvature; Curve tracing; Functions of several variables, Partial Differentiation, Total Differentiation, Euler’s theorem and generalization, maxima and minima of functions of several variables (two and three variables) – Lagrange’s method of Multipliers; Change of variables – Jacobians. Ordinary differential equations of first order: Formation

Sl.No.

Course No.

Course Title

L

T

P

Credits

1

EE 451

Power Systems Lab

0

0

3

2

2

EE 452

Power Electronics & Drives Lab

0

0

3

2

3

Elective I

3

0

0

3

4

Elective-II

3

0

0

3

5

Elective-III (Global)

3

0

0

3

6

Elective IV

3

0

0

3

7

EE 499

Project Work

0

0

6

4

Total

12

0

12

20

24

20

of differential equations; Separable equations; equations reducible to separable form; exact equations; integrating factors; linear first order equations; Bernoulli’s equation; Orthogonal trajectories. Ordinary linear differential equations of higher order : Homogeneous linear equations of arbitrary order with constant coefficients – Non-homogeneous linear equations with constant coefficients; Euler and Cauchy’s equations; Method of variation of parameters; System of linear differential equations.

TEXT BOOK:

1. R.K.Jain and S.R.K.Iyengar : Advanced Engineering Mathematics, Narosa Publishing House, 2002.

MH 151 MATHEMATICS – II (4-0-0)4

Laplace Transformation: Laplace transform – Inverse Laplace transform – properties of Laplace transforms – Laplace transforms of unit step function impulse function and periodic function – convolution theorem – Solution of ordinary differential equations with constant coefficients and system of linear differential equations with constant coefficients using Laplace transform. Integral Calculus: Fundamental theorem of integral calculus and mean value theorems; Evaluation of plane areas, volume and surface area of a solid of revolution and lengths. Convergence of Improper integrals – Beta and Gamma integrals – Elementary properties – Differentiation under integral sign. Double and triple integrals – computation of surface areas and volumes – change of variables in double and triple integrals. Vector Calculus : Scalar and Vector fields; Vector Differentiation; Level surfaces – directional derivative – Gradient of scalar field; Divergence and Curl of a vector field – Laplacian – Line and surface integrals; Green’s theorem in plane; Gauss Divergence theorem; Stokes’ theorem.

TEXT BOOK:

1. R.K.Jain and S.R.K.Iyengar : Advanced Engineering Mathematics, Narosa Publishing House, 2002

MH 201 MATHEMATICS – III (3-1-0)4

Fourier Series: Expansion of a function in Fourier series for a given range – Half range sine and cosine expansions Fourier Transforms : Complex form of Fourier series – Fourier transformation – sine and cosine transformations – simple illustrations. Z-transforms : Inverse Z-transfroms – Properties – Initial and final value theorems – convolution theorem – Difference equations – solution of difference equations using z-transforms Partial Differential Equations: Solutions of Wave equation, Heat equation and Laplace’s equation by the method of separation of variables and their use in problems of vibrating string, one dimensional unsteady heat flow and two dimensional steady state heat flow including polar form.Complex Variables: Analytic function – Cauchy Riemann equations – Harmonic functions – Conjugate functions – complex integration – line integrals in complex plane – Cauchy’s theorem (simple proof only), Cauchy’s integral formula – Taylor’s and Laurent’s series expansions – zeros and singularities – Residues – residue theorem, evaluation of real integrals using residue theorem, Bilinear transformations, conformal mapping.

TEXT BOOKS:

1. R.K.Jain and S.R.K.Iyengar : Advanced Engineering Mathematics, Narosa Publishing House, 2002

2. Erwyn Kreyszig : Advanced Engineering Mathematics, John Wiley and Sons, 8th Edition.

EE211 NETWORK ANALYSIS (3-1-0)4

Circuit elements and relations- Network Graphs And Analysis- Time Domain Analysis – Applications of Laplace Transforms In Circuit Theory-Laplace transforms- Initial conditions- convolution integral- Steady State Analysis Of Circuits For Sinusoidal Excitations- Series, Parallel, Series-parallel, nodal and mesh analysis of circuits- Resonance And Locus Diagrams- Resonance-Selectivity- bandwidth-tuned circuits- Network Theorems.

TEXT BOOKS:

1. M.E. Van Valken Burg : Network Analysis, 3rd Edition, PHI, 2002

2. G.K. Mithal and Ravi Mittal : Network Analysis, Khanna Publications, 1998

EE 212 BASIC ELECTRICAL ENGINEERING LABORATORY (0-0-3)2

Measurement of resistances of DC machine- Verification of Kirchoff’s laws-Superposition theorem- Measurement of electrical quantities in AC circuits-OC, SC and load Tests on transformer-3-ph Induction Motor- VI characteristics of lamps-OCC of DC Generator and speed control of DC motor- Testing of Energy meter- Measurement of self and mutual inductances, three phase power .

MH 102 ENGLISH FOR COMMUNICATION (3-0-2)4

Reading Skills:Practice in reading a wide range of texts with a view to improving their reading comprehension, and also grammar and vocabulary.Reading Comprehension, Reading a Novel, Note Making, Interpretation of Non Verbal Data Writing Skills: Practice in Written Communication with a view to enabling independent, original and creative writing. Construction of Sentences and Paragraphs Writing for Correspondence (letters, memos, emails, and fax) Professional Writing (Process Writing , Technical Description , and Report Writing) Speaking and Listening Skills (Laboratory Work) Practice in Speaking and Listening Activities with a view to improving their oral and listening skills. Individual speech sounds, Stress and Intonation patterns Conversations Group Discussions, Facing Interviews

TEXT BOOKS

1. Leo Jones and Richard Alexander, New International Business English CUP,UK 2006

2. Thomas N Huckin and Leslie & Oslen, Technical Writing and Professional Communication, Mc Graw Hill 2004

MH351 ENGINEERING ECONOMICS AND ACCOUNTANCY (3-0-0)3

Introduction to Engineering Economics – Fundamental concepts-Time value of money – Cash flow and Time Diagrams – Choosing between alternative investment proposals –Methods of Economic analysis (Pay back, ARR, NPV, IRR and B/C ratio).The Effect of borrowing on investment –Equity Vs Debt Financing – Concept of leverage-Income tax and leverage. Depreciation and methods of calculating depreciation (Straight line, Sum of the years digit method, Declining Balance Method, Annuity Method, Sinking Fund method.) National Income Accounting – Methods of Estimation – Various Concepts of National Income –Significance of National Income Estimation and its limitations. Inflation-Definition-Process and Theories of Inflation and Measures to Control. New Economic Policy 1991 (Industrial policy, Trade policy, and Fiscal policy). Impact on Industry. Accounting Principles, procedure-Double entry system – Journal, ledger, Trial balance – Cash Book – Preparation of Trading and Profit and Loss account – Balance Sheet.Cost Accounting – Introduction-Classification of costs – Methods of Costing-Techniques of Costing – Cost sheet and preparation cost sheet – Breakeven Analysis – Meaning and its application, Limitation.

TEXT BOOKS:

1. Henry Malcom Steinar-Engineering Economics Principles, McGraw Hill Pub

2. Dewett K.K., “Modern Economic Theory”, Sultan Chand & Co.

3. Agrawal AN, “Indian Economy” Wiley Eastern Ltd, New Delhi

4. Jain and Narang” Accounting Part-I” , Kalyani Publishers

EE101 ELEMENTS OF ELECTRICAL ENGINEERING (3-0-0)3

DC Circuits-Kirchhoff’s Laws,Network theorems. AC Circuits- Phasors, complex quantities, Series, series-parallel and three phase ac circuits, measurement of power. Magnetic Circuits-Definitions of magnetic quantities, Concept of self and mutual impedances. Single Phase Transformers-Principle of operation, emf equation, equivalent circuit, auto transformer. DC Machines-Principle of operation, emf and torque equations of generators and motors, speed control and starting methods. Three Phase Induction Motor-Principle of operation, torque-speed and efficiency calculations, starting methods- Measuring Instruments-MC, MI and DM type instruments, energy meter.

TEXT BOOK:

1. Edward Hughes, ELBS, Electrical Technology – 6th Edition, 2001

EE201 ELECTRICAL MEASUREMENTS AND INSTRUMENTATION (3-1-0)4

Construction- principle of operation- torque and errors in Analog Voltmeters, Ammeters, Wattmeters, Power factor meters and Energy meters- DC and AC Bridges- Instrument transformers- transducers- electronic instruments like displays, CROs, Waveform analyzers and Harmonic distortion analyzers.

TEXT BOOKS :

1. A.K. Sawhney – A course in Electrical Measurements and Electronic Measurements and Instrumentation – Dhanpat Rai and Sons.

2. W.D. Cooper and A.D. Helfrick – Modern Electronic Instrumentation and Measurement Techniques, PHI 2002.

EE202 CIRCUIT THEORY-I (3-1-0)4

Circuit elements and relations- Network Graphs And Analysis- Time Domain Analysis – Applications of Laplace Transforms In Circuit Theory-Laplace transforms- Initial conditions- convolution integral- Steady State Analysis Of Circuits For Sinusoidal Excitations- Series, Parallel, Series-parallel, nodal and mesh analysis of circuits- Resonance And Locus Diagrams- Resonance-Selectivity- bandwidth-tuned circuits- Introduction to Pspice

TEXT BOOKS:

1. M.E. Van Valken Burg : Network Analysis, 3rd Edition, PHI, 2002

2. G.K. Mithal and Ravi Mittal : Network Analysis, Khanna Publications, 1998

EE203 ELECTRIC AND MAGNETIC FIELDS (3-1-0)4

Electrostatic fields- charge and Coulomb’s law- flux density and gauss law- potential and potential difference- p.f. due to different types of charges- boundary conditions- Laplace and Poisson’s equations- uniqueness theorem- definition of capacitance- introduction to finite element analysis of capacitance. Magnetostatic fields- ampere law- Biot Savart law- vector magnetic potential- magnetic boundary conditions- energy stored in magnetic field – inductance calculations- relation between b and h, self and mutual inductance time VARYING FIELDS- Modified Ampere law- Maxwell equations- Electromagnetic energy

TEXT BOOKS:

1. William H.Hayt Jr. & John A.Buck “Engg. Electromagnetics”, TMH, 7th Edition

2. Karl E.Lonngren, Sava V.Savov “Dundamentals of Electromagnetics with MATLAB”PHI publication.

3. Nathan Ida & P.A.Bastos “Electromagnetics and Calculation of Fields” Springer Verlag Publishers