Applied Mathematics - I

Semester: I Lect: 4Hr

Branch: ENC / CST / IT Credit: 04

1. MATRICES

Types of Matrices. Adjoint of a matrix, Inverse of a matrix. Elementary transformations. Rank of a matrix. Reduction to a normal form. Partitioning of matrices. System of homogeneous and non – homogeneous equations, their consistency and solutions. Linear dependence and independence of rows and columns of a matrix area in a real field. Eigen values and Eigen vectors. Cayley Hamilton theoram, Minimal Polynominal – Derogatory and non derogatory matrices. Applications in Engg.

2. DIFFERENTIAL EQUATION

Differential equation of 1st order and 1st degree, Linear – equations. Bernoulli’s equations. Differential equation exact differential equations – integrating factors. Differential equations of higher order. Differential operator D, Where f (D) y = X, {x = eax , sin(ax+b), Cos(ax+b), xm , eax f(x). Linear differential equations with constant and variable coefficients. (Cauchy Linear Equations and Legendre’s Liner equations). Simple applications (Where the differential equation is given). Applications in Engg.

3. DIFFERENTIAL CALCULUS

Successive differentiation, Leibnitz’s theorem ( without proof ) and applications, Rolle’s theorem, Lagrange’s and Cauchy’s Mean value theorem. Applications in Engg.

4. COMPLEX NUMBERS

Definition of complex numbers Cartesian, Polar and exponential form, De–Moiver’s theorem and roots of complex numbers. Hyperbolic functions Separation real and imaginary parts of circular & Hyperbolic functions. Logarithm of complex numbers. Applications in Engg.

Reference Books:

1. P.N.Wartikar & J. N. Wartikar, Elements of Applied Mathematics, 1st edition, Pune Vidyarthi Griha Prakashan, 1995. (rs. 110/-)

2. B. S. Grewal, Higher Engineering Mathematics, 34th edition, Khanna Publishers, 1998. (Rs. 170).

3. Shanti Narayan, Matrices, 9th Edition, S. Chand, 1997. (Rs. 45/-)

4. Shanti Narayan, Differential Calculus, 14th Edition, S. Chand, 1996. (Rs. 60/-)

5. A. R. Vashishtha, Matrices, 27th Edition, Krishna Prakashan Mesdia(P) Ltd; 1996. (RS. 75/-)

6. Edwin Kreyszig, Advance Engg. Mathematics, 5th Edition, New Age International (P) Ltd; 1997. (Rs. 295/-)

Applied Mathematics - II

Semester: II

Lect: 4 Hr

Branch:ENC/CST/IT Credit: 04

SECTION A

Partial Differentiation: Definition, differentiation of composite and implicit functions, Euler’s theorem on Homogeneous functions, total differentiation of composite functions using partial differentiation, errors and approximation, extreme values of functions of two variables, applications in engineering.

Vector Algebra And Vector Calcus: Product of three or more vectors, vector differentiation – rules and theorems on vector differentiation, scalar point functions and vector point function, gradient, divergent and curl and applications solenoidal and irrotational fields, scalar potential of irrotational vectors, applications in engineering.

Differentiation Under Integral Sign: Theorems on differentiation under integral sign (without proof), Applications in engineering.

SECTION B

Integral Calculus: Curve tracing (only standard curves) Rectification (only arc length), double Integrals – Change of order of integration, double integration of polar coordinates, application of single and double integration – mass and volume, triple integration, applications in engineering.

Error Functions – Beta And Gamma Functions: Error functions and its properties, simple problems based on it, beta and gamma functions, properties, relation between beta & gamma functions, duplication formula and problems based on it, applications in engineering.

References:

1. P.N.Wartikar & J. N. Wartikar, Elements of Applied Mathematics, 1st edition, Pune Vidyarthi Griha Prakashan, 1995. (rs. 110/-)

2. B. S. Grewal, Higher Engineering Mathematics, 34th edition, Khanna Publishers, 1998. (Rs. 170).

3. Shanti Narayan, Differential Calculus, 14th Edition, S. Chand, 1996. (Rs. 60/-)

4. Murry Spiega, Vector Analysis

5. Edwin Kreyszig, Advance Engg. Mathematics, 5th Edition, New Age

6. International (P) Ltd; 1997. (Rs. 295/-)

Applied Science – I

Semester: II Lect: 4 Hr

Branch:ENC/CST/IT Credit: 04

Section – I (Physics)

Physics of Semiconductors

Introduction to band theory, metals, semiconductors and insulators; charge carriers in semiconductors; conductivity and mobility of charge carriers; concepts of fermi level; fermi level in Intrinsic and Entrinsic semiconductors; semiconductor junction diodes.

Introduction to Fiber Optic Communication

i] Propagation of light in an optical fiber; TIR, Angle of Acceptance; Numerical Aperture; Index Difference; Types of Fibers i) Step Index Fiber ii) Graded Index Fiber; Advantages of Optical Fiber, Applications of Optical Fiber Communication System.

ii] Optical Sources

Introduction to Lasers; Terms Associated with Lasers; Theory of Ruby Lasers; He-Ne Laser, LED, Semiconductor Lasers.

iii] Photo Detectors

Minority Charge Carrier Injection, Photo Diodes – p-n, p-in Avalanche.

Ultrasonic

Characteristics of U. S. Waves, Magnetosrictive effect, Magnetosrictive Transducer, Piezoelectric effect, Piezo Quartz Crystal and transducer Applications of U. S. Waves – i) High power applications such as ultrasonic cleaners and cavitation ii) Low power applications such as Non Destructive Testing Methods – flaw detectors, Ultrasonic Thickness Gauges, Sonar’s etc.

Super Conductors

Properties Characterizing Superconductors; Implications of Zero resistivity, Critical temp-Tc, critical magnetic field – Hc, Critical current Ic, Meissner effect, Penetration depth;

Types of superconductors; London’s equation; B.C.S. Theory, Josephson’s Effect and junctions, SQUID, Applications of Superconductors.

Introduction to Electromagnetic

Laws of Physics such as Gauss’s Law, Ampere’s Circuital Law, Solenoidal vector B, Faraday – Lenz’s Law expressed in terms of Maxwell’s equations, Modified form of Ampere’s Law.

References:

1. R. K. Gaur, and S. L. Gupta, Engineering Physics, 7th Edition, Dhanpat Rai Publication Pvt. Ltd., 1997. (165/-)

2. B. L. Theraja, Modern Physics., S. Chand and Company Ltd., 1996. (Rs. 60/-)

3. S. G. Patgawkar, Applied Physics – I, 5th Edition, Technova Publication, 1999. (Rs. 75/-)

4. Arthur Beiser, Perspective of Modern Physics, McGraw Hill, 1997. (Rs. 400/-)

5. Charles Kittle, Solid State Physics, 7th Edition, John Wiley & Sons, 1996. (Rs. 254/-)

6. I. Wilson and J. F. B. Hawkes, Optoelectronics – An Introduction, 2nd Edition, PHI, 1999. (175/-)

Section – II (Chemistry)

7. Phase Rule

Phase Rule, Water System, Sulphur System, Phase Rule for two Component Alloy Systems, Eutectic System, Bismuth – Cadmium Eutectic System, Lead – Silver System – Simple Eutectic Formation.

8. Electrochemistry, Specific, Equivalent and Molar Conductance

Introduction, Kohlrausch’s Law of Independent Migration of Ions, Laws of Electrolysis, Transport Number, Conductometric Titration.

9. Spectroscopy

Electromagnetic radiation, Spectroscopy, Principle, Instrumentation and Applications of Microwave, IR and UV Visible Spectroscopy, Beer Lamber’s Law.

10. Atomic Structure & Atomic Properties

Rutherford’s Modes, Bohr’s Model, Aufbau’s Principle, Pauli’s Law, Hund’s Rule, Electronic Configuration Atomic Properties like Ionization potential electro negativity, electron affinity, Atomic size, oxidation potential.

References:

1. Glasstone Lewis, Physical Chemistry

2. C. N. Banwell, Fundamentals of Molecular Spectroscopy, 3rd Edition, Tata McGraw Hill, 1992. (Rs. 69/-)

3. Anand and Chatwal, Instrumental Methods of Analysis, Himalaya Publishing House, 1997. (Rs. 160/-)

Communication Skills

Semester: I Lect: 4 Hr

Branch: ENC/ CST/ IT Credit: 04

SECTION A

1. Communication

The process, channels and media, Oral and written communication,

Verbal and non-verbal communication, Body language,

Barriers to communication , Developing communication through techniques.

2. Writing Skills

Vocabulary building- use of synonyms, antonyms, homonyms, homophones,word formation, confused set of words.

Writing effective paragraphs-through illustration, example, argument, analysis,description and comparison, expansion of key sentences.

Business correspondence-Principles of correspondence,Form,Formats,

Types of letters-Application with bio-data, enquiries, replies to enquiries, claims, adjustments, sales.

3. Summarising Techniques

One word substitutes( noun, verb,adverb, adjective)

Reduction of sentence length, Reduction of paragraph length,

Paraphrasing longer units.

SECTION B

4. Oral Communication Practice

Group discussion, Extempore speaking- introducing a speaker,

introducing a topic, vote of thanks, offering condolence, making

an announcement, speech on given topic, oral instructions.

5. Meeting Documentation

Notices, Circulars,Agendas,Minutes of meetings

6. Report Writing

Basics-What is a report, Qualities of a good report,

Style of language in reports,Methods,Sequencing, Structures

Types of reports-analytical, feasibility, informative etc.

Non-formal short reports-letter reports, memorandum reports

7. Descriptive Writing

Simple description of an object often used by engineering students

Writing instructions on using an object or performing a process

Reference Books

1. Sushil Bahl, “Business Communication Today”, Response Books, 1996, Rs.125/-

2. Krishna Mohan, R.C. Sharma, “Business Correspondence and Report Writing”, 2nd ed., Tata McGraw Hill, 1997, Rs.110/-

3. Krishna Mohan, Meera Banerji, “Developing Communication Skills”, McMillan & India Ltd., 1997, Rs.88/-

4. E.H.Macgraw, “Basic Managerial Skills For All”, 4th ed., PHI, 1996, Rs.125/-

Basic Electronics

Semester: II Lect: 4 Hr

Branch: ENC/ CST/ IT Credit: 04

Modeling devices: Static characteristics of ideal two terminal and three terminal devices, small signal models of non-linear devices.

Semiconductor diodes, construction and characteristics, Static and dynamic resistance, temperature effects, Avalanche and zener diodes. Small signal models of diodes; some applications of diodes. Specification of diodes, rectifiers ripple factor, rectification efficiency, regulation, and filters.

Bipolar junction transistor: Construction, characteristics. BJT as amplifier, CB, CE, CC configurations. Biasing circuits, dc analysis and stability factor, DC load line and ac load line.

Single stage transistor amplifiers (CB, CC, and CE). h-parameters, Small signal low frequency ac equivalent circuit, h parameter measurements

FET:- Construction, characteristics, amplifier. CS, CD and CG configurations. Biasing. Low frequency small signal ac equivalent circuit of JFET amplifiers.

Text Books / Reference Books

1. Boylstead & Nshelasky, “Electronic Devices & Circuit”, 6th edition, PHI. (Rs.295/-)

2. Milman Grabel, “Microelectronics”

3. V. K. Mehata, Principles of Electronics”, 7th edition. (Rs.210/-)

4. Bhargav Gupta, “Basic Electronics & Linear Circuit”. (Rs.120/-)

5. Kakani – Bhandari, “A Textbook of Electronics”.

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