JNTUK R20 2-2 Complex Variables & Statistical Methods Material PDF Download

Students those who are studying JNTUK R20 Mechanical Branch, Can Download Unit wise R20 2-2 Complex Variables & Statistical Methods (CV&SM) Material/Notes PDFs below.

JNTUK R20 2-2 Complex Variables & Statistical Methods Material PDF Download

OBJECTIVES:

• To familiarize the complex variables.
• To familiarize the students with the foundations of probability and statistical methods.
• To equip the students to solve application problems in their disciplines.

UNIT-1

Functions of a complex variable and Complex integration: Introduction – Continuity – Differentiability – Analyticity – Properties – Cauchy-Riemann equations in Cartesian and polar coordinates – Harmonic and conjugate harmonic functions – Milne – Thompson method. Complex integration: Line integral – Cauchy’s integral theorem – Cauchy’s integral formula – Generalized integral formula (all without proofs).

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UNIT-2

Series expansions and Residue Theorem: Radius of convergence – Expansion in Taylor’s series, Maclaurin’s series and Laurent series. Types of Singularities: Isolated – pole of order m – Essential – Residues – Residue theorem ( without proof) – Evaluation of real integral of the type f x dx

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UNIT-3

Probability and Distributions: Review of probability and Baye’s theorem – Random variables – Discrete and Continuous random variables – Distribution function – Mathematical Expectation and Variance – Binomial, Poisson, Uniform and Normal distributions.

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UNIT-4

Sampling Theory: Introduction – Population and samples – Sampling distribution of Means and Variance (definition only) – Central limit theorem (without proof) – Introduction to t, 2  and F-distributions – Point and Interval estimations – Maximum error of estimate.

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UNIT-5

Tests of Hypothesis: Introduction – Hypothesis – Null and Alternative Hypothesis – Type I and Type II errors – Level of significance – One tail and two-tail tests – Tests concerning one mean and two means (Large and Small samples) – Tests on proportions.

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TEXT BOOKS:

1. B. S. Grewal, Higher Engineering Mathematics, 43rd Edition, Khanna Publishers.
2. Miller and Freund’s, Probability and Statistics for Engineers, 7/e, Pearson, 2008.

REFERENCE BOOKS:

1. S. C. Gupta and V. K. Kapoor, Fundamentals of Mathematical Statistics, 11/e, Sultan Chand & Sons Publications, 2012.
2. Jay l. Devore, Probability and Statistics for Engineering and the Sciences, 8th Edition, Cengage.
3. Shron L. Myers, Keying Ye, Ronald E Walpole, Probability and Statistics Engineers and the Scientists, 8th Edition, Pearson 2007.
4. Sheldon, M. Ross, Introduction to probability and statistics Engineers and the Scientists, 4th Edition, Academic Foundation, 2011

OUTCOMES:

• apply Cauchy-Riemann equations to complex functions in order to determine whether a given continuous function is analytic (L3)
• find the differentiation and integration of complex functions used in engineering problems (L5)
• make use of the Cauchy residue theorem to evaluate certain integrals (L3)
• apply discrete and continuous probability distributions (L3)
• design the components of a classical hypothesis test (L6)
• infer the statistical inferential methods based on small and large sampling tests (L4)

JNTUK B.Tech 2-2 R20 Mech Materials: Students Can Download JNTUK 2-2 Mechanical R20 Regulation Materials/ E Note Books / Text Books Subject Wise From Below.

JNTUK B.Tech 2-2 Sem R20 Mechanical Materials Subject Wise PDF

Students of Jawaharlal Nehru Technological University Kakinada can avail of B.Tech 2-2 can avail of the materials for R20 regulation for various branches. Students can download JNTUK B.Tech 2-2 Sem R20 Mechanical Materials Subject Wise PDF from the links provided here. By tapping on the link, one can download materials for JNTUK 2-2 Sem MECH R20. The Mechanical Engineering Students can download the subject-wise materials PDFs collected from various sources. By referring to the materials one can gain knowledge to clear the exams with a good score. The course materials include Material Science & Metallurgy, Complex Variables and Statistical Methods, Dynamics of Machinery, Thermal Engineering-I, Industrial Engineering and Management and various other Mechanical related books of various popular authors. Check the following B.Tech R20 MECH 2-2 Materials PDFs and download them for free. 

JNTUK B.Tech 2-2 Sem R20 Mechanical Course Structure:

Also Check: JNTUK 2-2 Sem R20 MECH Syllabus

Download JNTUK 2-2 R20 MECH Materials PDF

Students who are pursuing the B.Tech 2-2 MECH R20 Regulation can check the text books, reference books, and e-resourses provided here for free. Students can get the complete chapter-wise information from their respective text books. And from the following information from the e-resourses, text books from the familer authors will provide the extra knowledge and understanding of each subject. Hence ts helps to score good in exams. Here we have collaboratively given the best JNTUK 2-2 R20 Mechanical materials at one place for the reference of students.

Material Science & Metallurgy Material

Complex Variables & Statistical Methods Material

Dynamics of Machinery Material

Thermal Engineering-I Material

Industrial Engineering and Management Material

JNTUK R20 2-2 Induction and Synchronous Machines Material PDF Download

Students those who are studying JNTUK R20 EEE Branch, Can Download Unit wise R20 2-2 Induction and Synchronous Machines (ISM) Material/Notes PDFs below.

JNTUK R20 2-2 Induction and Synchronous Machines Material PDF Download

Preamble: This course covers the topics on 3-phase induction motor, 1-phase induction motor and synchronous machines which have wide application in power systems. The main aim of the course is to provide a detailed analysis of operation and performance of 3-phase induction motor, 1-phase induction motor and synchronous machines. In addition, it also covers voltage regulation and parallel operation of synchronous generators.

Course Objectives:

• Understand the principle of operation and performance of 3-phase induction motor.
• Quantify the performance of induction motor and induction generator in terms of torque and slip.
• To understand the torque producing mechanism of a single phase induction motor.
• To understand the principle of emf generation, the effect of armature reaction and predetermination of voltage regulation in synchronous generators.
• To study parallel operation and control of real and reactive powers for synchronous generators.
• To understand the operation, performance and starting methods of synchronous motors.

UNIT-1

3-phase induction motors Construction details of squirrel cage and slip ring induction motors – production of rotating magnetic field – principle of operation – Equivalent circuit –phasor diagram- slip speed-rotor emf and rotor frequency – rotor current and pf at standstill and during running conditions – rotor power input, rotor copper loss and mechanical power developed and their interrelationship.

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UNIT-2

Characteristics and testing methods of induction motors Torque equation – expressions for maximum torque and starting torque – torque slip characteristic – double cage and deep bar rotors – crawling and cogging – speed control of induction motor with V/f control method – no load and blocked rotor tests – circle diagram for predetermination of performance – induction generator operation (Qualitative treatment only)

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UNIT-3

Starting methods of 3-phase induction motors Methods of starting of three phase Induction motors: DOL, Auto transformer, Star-Delta and rotor resistance methods.

Single phase induction motors: Constructional features- equivalent circuit- problem of starting-double revolving field theoryMethods of starting. AC series motors.

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UNIT-4

Construction, operation, voltage regulation and parallel operation of synchronous generator: Constructional features of non-salient and salient pole machines –types of armature windings – distribution, pitch and winding factors – E.M.F equation –improvements of waveform and armature reaction –phasor diagrams- voltage regulation by synchronous impedance method – MMF method and Potier triangle method– two reaction analysis of salient pole machines and phasor diagram.

Parallel operation with infinite bus and other alternators – synchronizing power – load sharing – control of real and reactive power – numerical problems.

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UNIT-5

Synchronous motor – operation, starting and performance Synchronous motor principle and theory of operation – phasor diagram – starting torque – variation of current and power factor with excitation – capability curves – synchronous condenser – mathematical analysis for power developed – hunting and its suppression – methods of starting – applications.

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Text Books:

1. Electrical Machines by P.S. Bhimbra, Khanna Publishers

2. Electric Machinery by A.E.Fitzgerald, Charles Kingsley, Stephen D.Umans, TMH

Reference Books:

1. Performance and design of AC machines – M.G. Say

2. Alternating Current Machines by A.F.Puchstein, T.C. Lloyd, A.G. Conrad, ASIA Publishing House

3. Electrical Machinery Fundamentals by Stephen J Chapman McGraw Hill education, 2010.

4. Electrical Machines by R.K.Rajput, Lakshmi publications, 5th edition

Course Outcomes:

• Explain the operation and performance of three phase induction motor.
• Analyze the torque-speed relation, performance of induction motor and induction generator.
• Implement the starting of single phase induction motors.
• Develop winding design and predetermine the regulation of synchronous generators.
• Explain hunting phenomenon, implement methods of staring and correction of power factor with synchronous motor.

JNTUK R20 2-2 Python Programming Material/Notes PDF Download

Students those who are studying JNTUK R20 EEE Branch, Can Download Unit wise R20 2-2 Python Programming Material/Notes PDFs below.

JNTUK R20 2-2 Python Programming Material/Notes PDF Download

Course Objectives:

• The Objectives of Python Programming are
• To learn about Python programming language syntax, semantics, and the runtime environment
• To be familiarized with universal computer programming concepts like data types, containers
• To be familiarized with general computer programming concepts like conditional execution, loops & functions
• To be familiarized with general coding techniques and object-oriented programming

Course Outcomes:

• Develop essential programming skills in computer programming concepts like data types, containers
• Apply the basics of programming in the Python language
• Solve coding tasks related conditional execution, loops
• Solve coding tasks related to the fundamental notions and techniques used in objectoriented programming

UNIT-1

Introduction: Introduction to Python, Program Development Cycle, Input, Processing, and Output, Displaying Output with the Print Function, Comments, Variables, Reading Input from the Keyboard, Performing Calculations, Operators. Type conversions, Expressions, More about Data Output.

Data Types, and Expression: Strings Assignment, and Comment, Numeric Data Types and Character Sets, Using functions and Modules.

Decision Structures and Boolean Logic: if, if-else, if-elif-else Statements, Nested Decision Structures, Comparing Strings, Logical Operators, Boolean Variables. Repetition Structures: Introduction, while loop, for loop, Calculating a Running Total, Input Validation Loops, Nested Loops.

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UNIT-2

Control Statement: Definite iteration for Loop Formatting Text for output, Selection if and if else Statement Conditional Iteration The While Loop

Strings and Text Files: Accessing Character and Substring in Strings, Data Encryption, Strings and Number Systems, String Methods Text Files.

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UNIT-3

List and Dictionaries: Lists, Defining Simple Functions, Dictionaries Design with Function: Functions as Abstraction Mechanisms, Problem Solving with Top Down Design, Design with Recursive Functions, Case Study Gathering Information from a File System, Managing a Program’s Namespace, Higher Order Function.

Modules: Modules, Standard Modules, Packages.

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UNIT-4

File Operations: Reading config files in python, Writing log files in python, Understanding read functions, read(), readline() and readlines(), Understanding write functions, write() and writelines(), Manipulating file pointer using seek, Programming using file operations

Object Oriented Programming: Concept of class, object and instances, Constructor, class attributes and destructors, Real time use of class in live projects, Inheritance , overlapping and overloading operators, Adding and retrieving dynamic attributes of classes, Programming using Oops support Design with Classes: Objects and Classes, Data modeling Examples, Case Study An ATM, Structuring Classes with Inheritance and Polymorphism

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UNIT-5

Errors and Exceptions: Syntax Errors, Exceptions, Handling Exceptions, Raising Exceptions, User-defined Exceptions, Defining Clean-up Actions, Redefined Clean-up Actions.

Graphical User Interfaces: The Behavior of Terminal Based Programs and GUI -Based, Programs, Coding Simple GUI-Based Programs, Other Useful GUI Resources. Programming: Introduction to Programming Concepts with Scratch.

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e-Resources:

Modules / Lectures

Text Books:

1) Fundamentals of Python First Programs, Kenneth. A. Lambert, Cengage.

2) Python Programming: A Modern Approach, Vamsi Kurama, Pearson.

Reference Books:

1) Introduction to Python Programming, Gowrishankar.S, Veena A, CRC Press.

2) Introduction to Programming Using Python, Y. Daniel Liang, Pearson.

JNTUK R20 2-2 Digital Electronics Material/Notes PDF Download

Students those who are studying JNTUK R20 EEE Branch, Can Download Unit wise R20 2-2 Digital Electronics (DE) Material/Notes PDFs below.

JNTUK R20 2-2 Digital Electronics Material/Notes PDF Download

Preamble: This course covers the topics related to representation numbers in different radix formats, complements and codes. It also introduces the basic gates and their realization in SOP and POS form. Boolean algebra and various logic gates minimization process is introduced. Design principles of combinational and sequential circuits are explained to make the students thorough in design of these circuits.

OBJECTIVES:

• To solve a typical number base conversion and analyze new error coding techniques.
• Theorems and functions of Boolean algebra and behavior of logic gates.
• To optimize logic gates for digital circuits using various techniques.
• To understand concepts of combinational circuits.
• To develop advanced sequential circuits.

UNIT-1

Review of Number Systems & Codes: Representation of numbers of different radix, conversion from one radix to another radix, r1’s complements and r’s complements of signed members. Gray code,4 bit codes; BCD, Excess-3, 2421, 84-2-1 code etc., Error detection & correction codes: parity checking, even parity, odd parity, Hamming code

Boolean theorems and logic operations Boolean theorems, principle of complementation & duality, De-Morgan theorems. Logic operations; Basic logic operations -NOT, OR, AND, Universal Logic operations, EX-OR, EX-NOR operations. Standard SOP and POS Forms, NAND-NAND and NOR-NOR realizations.

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UNIT-2

Minimization Techniques: Minimization and realization of switching functions using Boolean theorems, K-Map (up to 6 variables) and tabular method.

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Combinational Logic Circuits Design: Design of Half adder, full adder, half subtractor, full subtractor, applications of full adders; 4- bit adder-subtractor circuit, BCD adder circuit, Excess 3 adder circuit and carry look-a-head adder circuit

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UNIT-3

Combinational Logic Circuits Design Using MSI &LSI: Design of encoder, decoder, multiplexer and demultiplexers, Implementation of higher order circuits using lower order circuits. Realization of Boolean functions using decoders and multiplexers. Design of Priority encoder, 4-bit digital comparator and seven segment decoder

Introduction of PLD’s: PLDs: PROM, PAL, PLA -Basics structures, realization of Boolean functions.

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UNIT-4

Sequential Circuits I

Classification of sequential circuits (synchronous and asynchronous) , operation of NAND & NOR Latches and flip-flops; truth tables and excitation tables of RS flip-flop, JK flipflop, T flip-flop, D flip-flop with reset and clear terminals. Conversion from one flip-flop to another flip-flop. Design of ripple counters, design of synchronous counters, Johnson counter, ring counter. Design of registers – Buffer register, control buffer register, shift register, bi-directional shift register, universal shift register.

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UNIT-5

Sequential Circuits II

Finite state machine; state diagrams, state tables, reduction of state tables. Analysis of clocked sequential circuits Mealy to Moore conversion and vice-versa. Realization of sequence generator and sequence detector circuits, Races and Hazards.

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TEXT BOOKS:

1. Switching and finite automata theory:ZviKohavi, Niraj K. Jha,Cambridge University Press, 3rd Edition, 2009.
2. Digital Design by Morris Mano, Prentice Hall India, 5th Edition

REFERENCE BOOKS:

1. Digital Principles and Applications by Leach , Malvino , Saha, Mc-Graw Hill, 8th Edition, 2014.
2. Switching Theory and Logic Design by A. Anand Kumar, PHI learning, 3rd edition.
3. Introduction to Switching Theory and Logic Design – Fredriac J Hill, Gerald R Peterson, 3rdEdition, John Willey and Sons Inc,
4. Fundamentals of Logic Design by Charles H. RothJr., Cengage Learning, 7th edition, 2013.

Web Links:

1. Lecture1 – Introduction to Digital Circuits

2. Lecture series on Digital Circuits & Systems by Prof.S.Srinivasan, Department of Electrical Engineering, IIT Madras.For more details on NPTEL visit http://nptel.iitm.ac.in

3. Lecture – 6 Boolean Algebra

4. Basic Logic Gates, Introduction to Logic Gates, Logic Gates Truth Tables

OUTCOMES:

• classify different number systems and apply to generate various codes.
• use the concept of Boolean algebra in minimization of switching functions
• design different types of combinational logic circuits.
• apply knowledge of flip-flops in designing of Registers and counters
• the operation and design methodology for synchronous sequential circuits and algorithmic state machines.
• produce innovative designs by modifying the traditional design techniques.