MathematicsIV


TOPICS

Description

1

Complex numbers and functions:

Limits of Functions, Continuity, Differentiability, Analytic functions, CauchyRiemann Equations, Necessary and Sufficient condition for analyticity, Properties of Analytic Functions, Laplace Equation, Harmonic Functions, Finding Harmonic Conjugate functions
Exponential, Trigonometric, Hyperbolic functions and its properties. Multiple valued function and its branches: Logarithmic function and Complex Exponent function.


2

Complex Integration:

Curves, Line Integrals (contour integral) and its properties. Line integrals of single valued functions, Line integrals of multiple valued functions (by choosing suitable branches). CauchyGoursat Theorem, Cauchy Integral Formula, Liouville Theorem, Fundamental Theorem of Algebra, Maximum Modulus Theorems.


3

Power Series:

Convergence (Ordinary, Uniform, Absolute) of power series, Taylor and Laurent Theorems, Laurent series expansions. Zeros of
analytic functions. Singularities of analytic functions and their classification Residues: Residue Theorem, Rouche’s Theorem, Argument Principle.


4

Applications of Contour Integration:

Evaluating various type of definite real integrals using contour integration method.


5

Conformal Mapping and its applications:

Mappings by elementary functions, Mobius transformations, Schwarz Christoffel transformation.


6

Interpolation:

Interpolation by polynomials, divided differences, error of the interpolating polynomial.


7

Numerical integration:

Composite rules, error formulae, Gaussian integration.


8

Linear algebraic equation:

Solution of a system of linear equations: implementation of Gaussian elimination and GaussSeidel methods, partial pivoting.


9

Roots of equation:

Solution of a nonlinear equation: Bisection and Secant methods, Newton’s method, rate of convergence, Power method for computation of Eigen values.


10

Ordinary differential equations:

Numerical solution of ordinary differential equations, Euler and Runge Kutta methods.


BOOKS

Title

1

R.V.Churchill and J.W.Brown, Complex variables and applicati (7th Edition), McGrawHill (2003).

2

J.M.Howie, Complex analysis, SpringerVerlag (2004).

3

M. J. Ablowitz and A. S. Fokas, Complex Variables Introduction and Applications, Cambridge University Press, 1998 (Indian Edition).

4

E. Kreyszig, Advanced engineering mathematics (8th Edition), John Wiley (1999).

5

S. D. Conte and Carl de Boor, Elementary Numerical Analysis An Algorithmic Approach (3rd Edition), McGrawHill, 1980.

6

C. E. Froberg, Introduction to Numerical Analysis (2nd Edition), AddisonWesley, 1981.

ManagementI


TOPICS

Description

1

Introduction to Management and Organizations

Innovative management for Turbulent times
Functions of management
Planning, Organizing, Controlling and Leading
Types of Managers
Managerial Roles


2

Management history

Schools of Management
Scientific management
The Behavioral Approach
The Systems approach
The contingency approach


3

Organizational Structure and Design

Types of structures
Work specialization
Departmentalization
Chain of Command
Span of Control
Centralization and Decentralization
Formalization


4

Organizational Culture and Environment

Concept of culture and its importance
Attributes of culture
How does culture affect managers and employees


5

Social responsibility and Managerial ethics

Concept of corporate social responsibility and ethics
Stakeholders and its management
Ethical issues in management


BOOKS

Title

1

‘Management’ – Stephen P. Robbins, Mary Coulter, Neharika Vohra – Pearson Prentice Hall of India, New Delhi, Tenth edition

2

‘Essentials of Management’, Koontz and Weihrich, Tata McGraw Hill, 2004, 6th Edition

3

Essentials of management – Adrew J. Durbrin, India edition, 7th Edition, Thomson – South Western

4

Principles of Management, Charles WL Hill and Steven L McSane, The McGraw Hill Companies, 2008

5

Principles of Management, Richard L. Daft, Cengage Learning, 2009

Advance Electronics


TOPICS

Description

1

Transistor at High Frequencies:

Hybrid –pi CE Transistor Model, Hybrid –pi Conductances, Hybrid –pi Capacitances, Validity of Hybrid –pi Model, Variation of Hybrid –pi Parameters, CE ShortCircuit Current Gain, Current Gain with Resistive Load, SingleStage CE Transistor Amplifier Response, GainBandwidth Product, Emitter Follower at High Frequencies


2

Multistage Amplifiers:

Classification of Amplifiers, Distortion in Amplifiers, Frequency Response of an Amplifier, Bode Plots, Step Response of an Amplifier, Bandpass of Cascaded Stages, RC Coupled Amplifier, Low Frequency Response of an RC Coupled Stage, Effect of an Emitter Bypass Capacitor on Low Frequency Response, HighFrequency Response of Two Cascaded CE Transistor Stages, Multistage CE Amplifier Cascade at High Frequencies


3

Feedback Amplifiers:

Classification of Amplifiers, Feedback Concept, Transfer Gain with Feedback, General Characteristics of Negative Feedback Amplifiers, Input Resistance, Output Resistance, Method of Analysis of a Feedback Amplifier, Voltage Series Feedback, A Voltage Series Feedback Pair, Current Series Feedback, Current Shunt Feedback, Voltage Shunt Feedback


4

Stability and Oscillators:

Effect of Feedback on Amplifier Bandwidth, DoublePole Transfer Function with Feedback, Three –Pole Transfer Function with Feedback, Approximate Analysis of a Multipole Feedback Amplifier, Stability, Gain and Phase Margins, Compensation, DominantPole Compensation, PoleZero Compensation, Compensation by Modification of the Network, Sinusoidal
Oscillators, PhaseShift Oscillator, Resonant Circuit Oscillators, A General Form of Oscillator Circuit, Wien Bridge Oscillator, Crystal Oscillators, Frequency Stability


5

Operational Amplifiers:

Basic Operational Amplifier, Differential Amplifier, EmitterCoupled Differential Amplifier, Transfer Characteristics of a Differential Amplifier, An Example of an IC Operational Amplifier, Offset Error Voltages and Currents, Temperature Drift of Input Offset Voltage and Current, Measurement of Operational Amplifier Parameters, Frequency Response of Operational Amplifiers, Dominant –Pole Compensation, PoleZero Compensation, Lead Compensation, Step Response of Operational Amplifiers


6

Logic Families :

Diode Transistor Logic, High Threshold Logic, Transistor Transistor Logic, Resistor Transistor Logic, Direct Coupled Transistor Logic, Comparison of Logic families.


7

Analog To Digital And Digital To Analog Converters:

Digital to Analog Conversion, R2R ladder type DAC, Weighted resistor type DAC, Switched current source type DAC, Switched capacitor type DAC, Analog to Digital Conversion, Counter type A/D converter, , Flashtype A/D converter, Dual slope A/D converter, Successive approximation ADC.


BOOKS

Title

1

Integrated Electronics By Jacob Millman and Christos C. Halkias, Tata McGraw Hill Publication

2

Electronic Devices and Circuit Theory by Robert Boylestad and Louis Nashelsky [Ninth Edition]

Control Theory


TOPICS

Description

1

Introduction to Control Systems:

Introduction, Examples of Control Systems, Closedloop Control versus OpenLoop Control


2

Mathematical Modeling of Dynamic Systems:

Introduction, Transfer Function and ImpulseResponse Function, Automatic Control Systems, Modeling in state Space, StateSpace Representation of Dynamic Systems, Transformation of Mathematical Models with MATLAB, Mechanical Systems, Electrical and Electronic Systems, Signal Flow Graphs, Linearization of Nonlinear Mathematical Models


3

Mathematical Modeling of Fluid Systems and Thermal systems:

Introduction, LiquidLevel Systems, Thermal Systems


4

Transient and SteadyState Response Analyses:

Introduction, FirstOrder Systems, SecondOrder Systems, HigherOrder Systems, TransientResponse Analysis with MATLAB, Routh’s Stability Criterion, Effects of Integral and Derivative Control Actions on System Performance, SteadyState Errors in UnityFeedback Control Systems


5

RootLocus Analysis:

Introduction, RootLocus Plots, General Rules for Constructing Root Loci, RootLocus Plots with MATLAB, Positive Feedback Systems, Conditionally Stable Systems, Root Loci for Systems with Transport Lag


6

FrequencyResponse Analysis:

Introduction, Bode Diagrams, Plotting Bode Diagrams with MATLAB, Polar Plots, Drawing Nyquist Plots with MATLAB, LogMagnitudeversusPhase Plots, Nyquist Stability Criterion, Stability Analysis, Relative Stability, ClosedLoop Frequency Response of UnityFeedback Systems


BOOKS

Title

1

Modern Control Engineering by Katsuhiko Ogata, 4th Edition, Prentice Hall of India.

2

Automatic Control Systems by Benjamin C.Kuo, 8th Edition, Farid Golnaraghi, John Wiley & Sons.

Microprocessor And Interfacing


TOPICS

Description

1

Introduction (Hardware)

Introduction to Microprocessor, Microprocessor systems with bus organization, Microprocessor Architecture & Operations, Memory, I/O Device, Memory and I/O Operations


2

8085 Microprocessor Architecture

8085 Microprocessor Architecture, Address, Data And Control Buses, Pin Functions, Demultiplexing Of Buses, Generation Of Control Signals, Instruction Cycle, Machine Cycles, TStates, Memory Interfacing.


3

Assembly Language Programming

Assembly Language Programming Basics, Classification of Instructions, Addressing Modes, 8085 Instruction Set, Instruction And Data Formats, Writing, Assembling & Executing A Program, Debugging The Programs, Decision Making, Looping, Stack & Subroutines, Developing Counters And Time Delay Routines, Code Conversion, BCD Arithmetic And 16Bit Data Operations.


4

Interfacing

Interfacing Concepts, Ports, Interfacing Of I/O Devices, Interrupts In 8085, Interfacing of Data Converters (DToA And AToD), Programmable Interfacing Devices Like 8279 Keyboard/Display Interface, 8255A PPI, 8253/8254 Timer, 8259A PIT, 8237 DMA Controller, Serial I/O Concepts, SID And SOD, 8251A USART. Interfacing of above chips With 8085, Programming them In Deferent Modes, Practical Applications


Books

Title

1

Microprocessor Architecture, Programming, and Applications with the 8085 – Ramesh S. Gaonkar Pub: Penram International.

2

Microcomputers and Microprocessors: The 8080,8085 and Z80 Programming, Interfacing and Troubleshooting by John E. Uffenbeck.

3

Microprocessor and Microcontroller fundamentals. The 8085 and 8051 Hardware and Software by William Kleitz.

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