PARUL UNIVERSITY - FACULTY OF ENGINEERING & TECHNOLOGY Department of Electrical Engineering SYLLABUS FOR 3rd Sem BTech PROGRAMME Fundamentals of Signals & Systems (03106201)
Type of Course: BTech Prerequisite: Inclination to learn mathematics, basic knowledge of differential equations and difference equations, electrical circuits and networks. Rationale: The course will provide strong foundation on signals and systems which will be useful forcreating foundation of communication and signal processing. The students will learn basic continuous timeand discrete time signals and systems. Student will understand application of various transforms for analysis of signals and systems both continuous time and discrete time. Students will also explores to power and energy signals and spectrum. Teaching and Examination Scheme: Teaching Scheme (Hrs./Week)
Examination Scheme Credit
L
T
3
0
External
Total
Internal
P 2
4
Theory
Practical
Theory
*C.E.
Practical
60
30
20
20
20
150
L-Lectures; T-Tutorial; P-Practical; C.E.-Continuous Evaluation Contents: Sr.
Topic
Weightage
Teaching Hrs.
20%
10
15%
7
25%
11
20%
10
INTRODUCTION TO SIGNALS AND SYSTEMS::
1
Basic definitions, Classification of signals, Signal operations and properties. Basic continuous time signals, signal sampling, Aliasing, Re-Constructionof band limited signals from its samples and quantization, discretization of continuous time signals,discrete time signals. Classification of systems and Basic system properties. CT-LTI SYSTEM ANALYSIS::
2
Impulse response characterization and convolution integral for CT- LTI system, signal responses to CT-LTI system, properties of convolution, LTI system response properties from impulse response. (*Review ofLaplace transform with reference to CT signals and systems). ANALYSIS OF DT-LTI SYSTEM::
3
Impulse response characterization and convolution sum, Causal signal response to DT-LTI systems. Properties of convolution summation, Impulse response of DT-LTI system. DT-LTI system properties from Impulse response. System analysis from difference equation model. SIGNAL TRANSFORMATIONS AND THEIR APPLICATIONS::
4
Fourier Transform, Relation between Fourier Transform& Laplace Transform, Its properties, Frequency spectrum of aperiodic signals, DTFT Application areas: Control, Communications, Signal Processing
ANALYSIS OF CONTINUOUS AND DISCRETE TIME SIGNALS:: 5
Frequency analysis of Continuous Time Signals, Frequency analysis of Discrete Time Signals, Frequency Domain and Time Domain Signal Properties, Properties of the Fourier Transform For Discrete Time Signals
20%
10
*Continuous Evaluation: It consists of Assignments/Seminars/Presentations/Quizzes/Surprise Tests (Summative/MCQ) etc. Reference Books: 1.
Signals And Systems (TextBook) Alan V. Oppenheim; Pearson Education
2.
Signals and Systems K. Gopalan; Cengage Learning (India Edition)
3.
Fundamentals of Signals and Systems Govind Sharma,Michael J. Roberts; TATA McgrawHill
4.
Signals and Systems Simon Haykin and Bary Van Veen; Wiley
5.
Signals, Systems, & Transforms: Charles L. Philips, J. M. Parr and E. A. Riskin; Pearson Education
Course Outcome: After Learning the course the students shall be able to: 1. Understand about various types of signals& systems, classify them, analyze them, and perform various operations on them. 2. Appreciate use of transforms in analysis of signals and system. 3. Carry simulation on signals and systems for observing effects of applying various properties and operations. 4. Create strong foundation of communication and signal processing to be studied in the subsequent semester List of Practical: 1.
Familiarize with MATLAB software, general functions and signal processing toolbox functions.
2.
Write a MATLAB program to generate and plot common continuous time signals.
3.
Write a MATLAB program to generate and plot common discrete time signals.
4.
Write a MATLAB program for Observing the effects of lower sampling rate and higher sampling rate on continuous time signal.
5.
Write a MATLAB program to Perform Delaying and Advancing of signals.
6.
Write a MATLAB program to develop Folding in Time Domain.
7.
Write a MATLAB program to perform various operations on the signals using computational software.
8.
Write a MATLAB program to generate even and odd part of signals
9.
Write a MATLAB program for Fourier Representation of Sequence.
10.
Write a MATLAB code to find Impulse Response of a system.
11.
Simulate continuous time LTI system using MATLAB.
12.
Write a MATLAB program to compute DTFT.
13.
Write a MATLAB program to find the impulse response and step response of the system.
PARUL UNIVERSITY - FACULTY OF ENGINEERING & TECHNOLOGY Department of Electrical Engineering SYLLABUS FOR 3rd Sem BTech PROGRAMME ELECTRICAL MACHINES-I (03106202)
Type of Course: BTech Prerequisite: Knowledge of basics of electrical and mathematics Rationale: The course will impart the knowledge of various fundamental of D.C. machines & Transformer. Teaching and Examination Scheme: Teaching Scheme (Hrs./Week)
Examination Scheme Credit
L
T
3
0
External
Total
Internal
P 2
4
Theory
Practical
Theory
*C.E.
Practical
60
30
20
20
20
150
L-Lectures; T-Tutorial; P-Practical; C.E.-Continuous Evaluation Contents: Sr.
Topic
Weightage
Teaching Hrs.
10%
5
17%
8
21%
10
21%
10
ELECTROMECHANICAL ENERGY CONVERSION: 1
Principle, Singly Excited Magnetic System and Doubly Excited Magnetic system. Physical concept of torque production; Electromagnetic torque and Reluctance torque DC MACHINES::
2
Main constructional features, DC generators: EMF equation, Types of armature winding Methods of excitation, characteristics of saturated and un-saturated series, shunt, cumulatively and differentially compound excited machines operating as motors and generators; Armature reaction, demagnetizing and cross magnetizing ampere turns, compensating windings, commutation, interpoles. DC MACHINE SPEED CONTROL & TESTING::
3
Speed control methods of D.C. shunt & series motors, commutation ± methods to improve commutation losses and efficiency; Need of starter 3 point starter, 4point Starter for D.C. motors and design of 3-point starter. Testing of D.C. machines: No-load test, Direct load test, Hopkinson¶s and Field¶s test, Retardation test. Faults in dc machines and their retrospective. TRANSFORMERS::
4
Principle, construction and operation of single phase transformers, phasor diagram, equivalent circuit, voltage regulation, losses and efficiency, Testing- Open & short circuit tests, Polarity test, Sumpner¶s test, Separation of hysteresis and eddy current losses, Autotransformers - Construction, Principle, Applications and Comparison with two winding transformer,
Three phase Transformer::
5
Construction, various types of connection and their comparative features, 3-phase transformer connections - ǻǻԚȊǻY, Y-ǻV-V ± vector groupings Yy0, Dd0, Yd1, Yd11, Dy1, Dy11, Scott connection ± three winding transformer ±tertiary winding ±per unit impedance, Parallel operation of single phase and three phase transformers. Excitation phenomenon in transformers, Harmonics in single phase and three phase transformers, Tap changing Transformers - No load and on load tap changing of transformers, Cooling methods of transformers.
21%
10
10%
5
Special Transformers: 6
Potential transformer, Current transformer, Pulse transformer, Audio frequency transformer, Grounding transformer.
*Continuous Evaluation: It consists of Assignments/Seminars/Presentations/Quizzes/Surprise Tests (Summative/MCQ) etc. Reference Books: 1.
Electrical Technology (TextBook) B. L. Theraja; S. Chand
2.
Electrical Machinery Dr P.S. Bhimbra; Khanna Publishers; Enter Edition
3.
Electrical Machinery A E Fitzgerald, Charles Kingsley, Jr. Stephen D. Umans; McgrawHil
4.
Electrical Machine D P Kothari & I J Nagrath; TATA McgrawHill
5.
ELECTRIC MACHINERY & TRANSORMERS Laramore, McPherson; John Wiley & Sons
6.
Electrical Machine Smarajit Ghosh; Pearson
Course Outcome: After Learning the course the students shall be able to: 1. Understand construction of DC machine and Transformer. 2. Evaluate performance characteristics of DC machine and Transformer 3. Analyze the effect of armature reaction and the process of commutation. List of Practical: 1.
Obtain Magnetizing Characteristics, Internal & External Characteristics of Self Excited DC Shunt Generator. Also obtain the critical field resistance of the machine from magnetizing characteristics.
2.
Obtain Internal & External Characteristics of DC Cumulatively Compound Generator.
3.
Obtain Internal & External Characteristics of DC Differential Compound Generator.
4.
Conduct direct load test on a D.C. compound generator with a) Shunt field alone b) Cumulative and differential compounding for short and long shunt connections.
5.
Obtain Speed-Torque characteristics of DC Series Motor and DC Shunt Motor.
6.
Perform Break test on DC machines.
7.
Determine the efficiency of two similar shunt machines by regenerative method. (Hopkinson¶s Test.)
8.
Perform field test on DC series motor.
9.
Perform Retardation test on DC Machine.
10.
Speed control of DC Shunt Motor using a) Armature control and b) field control methods. Also perform Swinburne's test on DC Shunt Motor.
11.
Conduct open circuit and short circuit test on a three phase three winding transformer and determine the equivalent circuit parameters.
12.
Operate two single phase transformers of different KVA ratings in parallel and plot the variation of currents shared by each transformer versus load current.
13.
Conduct Sumpner test on two identical single phase transformers and determine their efficiency at various loads.
14.
Make Scott connection of two single phase transformer and to verify the current relation by drawing phasor diagrams for (a) Balanced and (b) Unbalanced resistive loads.
15.
Observe waveform of different configuration of three phase two winding transformer using DSO 1) Y/Y 2) Y/¨ ¨Y 4) ¨¨
PARUL UNIVERSITY - FACULTY OF ENGINEERING & TECHNOLOGY Department of Electrical Engineering SYLLABUS FOR 3rd Sem BTech PROGRAMME NETWORK ANALYSIS (03106203)
Type of Course: BTech Prerequisite: Knowledge of basics of electrical and mathematics Rationale: The course will provide to impart the knowledge of various fundamental techniques for analysis and synthesis of electrical network Teaching and Examination Scheme: Teaching Scheme (Hrs./Week)
Examination Scheme Credit
L
T
3
2
External
Total
Internal
P 0
5
Theory
Practical
Theory
*C.E.
Practical
60
30
20
20
20
150
L-Lectures; T-Tutorial; P-Practical; C.E.-Continuous Evaluation Contents: Sr.
Topic
Weightage
Teaching Hrs.
18%
8
21%
10
10%
5
10%
5
10%
5
INTRODUCTIONS TO ELECTRICAL CIRCUITS: 1
Solution of network using dependent sources, mesh analysis, super mesh analysis, nodal analysis, super node analysis, source transformation and source shifting. NETWORK THEOREMS:
2
Tellegen¶s, Superposition, Reciprocity, Thevenin¶s, Norton¶s, Maximum Power Transfer, Millman¶s and Compensation theorems for d.c. and a.c. excitations. TWO PORT PARAMETERS:
3
Open circuit, short circuit, transmission and hybrid Parameters, relationships between parameter sets, reciprocity and symmetry conditions, parallel connection of two port networks GRAPH THEORY AND NETWORK TOPOLOGY:
4
Introduction, graph of network, tree, co-tree, loop incidence matrix, cut set matrix, tie set matrix and loop current, number of possible tree of a graph, analysis of network equilibrium equation, duality. NETWORK FUNCTIONS; POLES AND ZEROS:
5
Network functions for one port and two port networks, Driving point and transfer functions, ladder network, General network, poles and zeros of network functions, restrictions on Pole and zero locations for driving point functions and Transfer functions, time domain behavior from pole - zero plot.
TRANSIENT ANALYSIS: 6
Transient response of RL, RC & RLC circuits (series combinations only) for d.c. and sinusoidal Excitations ±initial conditions - solution using differential equation approach and Laplace transform Methods of solutions.
21%
10
10%
5
NETWORK SYNTHESIS: 7
Concept of stability, Hurwitz polynomials, Properties and testing of positive real functions, Driving point synthesis of LC, RC, RL network.
*Continuous Evaluation: It consists of Assignments/Seminars/Presentations/Quizzes/Surprise Tests (Summative/MCQ) etc. Reference Books: 1.
Engineering Circuit Analysis (TextBook) W H Hayt, S M Durbin; Tata McGraw-Hill Education
2.
Network Analysis and synthesis C. L. Wadhwa; New Age international
3.
Network Analysis M. E. Van Valkenburg; PHI Learning
4.
Network Analysis and synthesis F. F. Kuo; John Wiley and sons
5.
Circuit Theory : Analysis and Synthesis Abhijit Chakrabarti; Dhanpat Rai & co.
6.
Problems and Solutions in Engineering Circuit Analysis W H Hayt; McGraw Hill Education (India) Private Limited
Course Outcome: After Learning the course the students shall be able to: 1. Familiar with the various techniques to analyze electrical systems in transient and steady state conditions. 2. Characterize; model the network in terms of all network parameters and analyze. 3. Apply graph theory to solve network equations. List of Tutorial: 1.
Verification of principle of superposition with dc and ac sources.
2.
Verification of Thevenin, Norton and Maximum power transfer theorems in ac circuits.
3.
Verification of Tellegin¶s theorem for two networks of the same topology.
4.
Verification of Millman and Compensation Theorem.
5.
Verification of Reciprocity Theorem.
6.
Verification of Mesh and Node analysis.
7.
Determination of transient response of current in RL and RC circuits with step voltage input.
8.
Determination of transient response of current in RLC circuit with step voltage input for underdamp, critically damp and overdamp cases.
9.
Determination of Z and Y parameters (DC only) for a network.
10.
Computation of h and ABCD parameters (DC only) for a network.
11.
Determination of driving point and transfer functions of a two port ladder network and verify with theoretical values.
12.
Verification of parameter properties in inter-connected two port networks: series, parallel and cascade also study loading effect in cascade.
13.
Determination of frequency response of current in RLC circuit with sinusoidal ac input.
14.
Verification of magnetically coupled circuit polarity using Dot Convention method.
PARUL UNIVERSITY - FACULTY OF ENGINEERING & TECHNOLOGY Department of Electrical Engineering SYLLABUS FOR 3rd Sem BTech PROGRAMME ELECTRICAL MACHINES (03106204)
Type of Course: BTech Prerequisite: Basic knowledge of Elements of Electrical Engineering. Rationale: Knowledge of Electrical Machines is essential for understanding working of different electrical machines. Teaching and Examination Scheme: Teaching Scheme (Hrs./Week)
Examination Scheme Credit
L
T
3
0
External
Total
Internal
P 2
4
Theory
Practical
Theory
*C.E.
Practical
60
30
20
20
20
150
L-Lectures; T-Tutorial; P-Practical; C.E.-Continuous Evaluation Contents: Sr.
Topic
Weightage
Teaching Hrs.
12%
5
14%
6
26%
12
Principles of Electromagnetic Energy Conversion: 1
Forces and Torques in Magnetic Field Systems; Singly Excited and Multi- Excited Field Systems; Elementary Concepts of Rotating Machines; Losses and efficiency, ventilation and cooling, machine ratings, leakage and harmonic fluxes. Transformer:
2
Working principle, Construction, types, EMF equation, Transformer losses, effect of load, magnetic and resistive leakage, equivalent circuit, transformer testing, regulation of transformer, auto transformer, Instrument transformers, Current transformers, Potential transformers, three phase transformer. Direct-Current Machines:
3
DC generator: Constructional features, type EMF equation of DC generator, Methods of excitation, condition for maximum efficiency; Armature reaction; Inter poles and compensating windings; commutation, method of improving commutation; Characteristic of a DC shunt generator. DC motor: working principle, voltage equation, condition for maximum power, torque developed, characteristics of DC motors, starting of DC motors, 3-point starter and 4-point starter, speed control methods of DC motors.
Induction Machines:
4
3-phase induction machine: Construction, type, Rotating Magnetic Field; principle of operation, Slip; rotor circuit parameter, Equivalent circuit, testing, torque production; full load torque, starting torque and maximum torque and its relations; Torque-Slip characteristic; Speed control, Starting methods ,Induction generator, Applications.
22%
10
18%
8
8%
4
1-phase induction motor: double revolving theory, starting methods, application. Synchronous Machines:
5
Alternator: Construction, basic principle, EMF equation, Equivalent circuit, O.C. and S.C. characteristics, alternator on load, voltage regulation and its methods of finding voltage regulation, parallel operation of alternator, synchronization of alternator. Synchronous Motor: basic principle, methods of starting, applications. Special Purpose Motor:
6
PMDC Motor, Stepper Motor, Servo Motor, BLDC Motor
*Continuous Evaluation: It consists of Assignments/Seminars/Presentations/Quizzes/Surprise Tests (Summative/MCQ) etc. Reference Books: 1.
Electrical Technology (Vol-II) (TextBook) B L Theraja & A K Theraja; S Chand
2.
Electrical Machinery Dr P.S. Bhimbra; Khanna Publishers; Enter Edition
3.
Electrical Machinery A E Fitzgerald, Charles Kingsley, Jr. Stephen D. Umans; McgrawHil
4.
Electrical Machine Smarajit Ghosh; Pearson
5.
Electrical Machine D P Kothari & I J Nagrath; TATA McgrawHill
Course Outcome: After Learning the course the students shall be able to: 1. Evaluate performance characteristics of D.C machine and Transformer 2. Explain the construction, working principle, performance and applications of Poly-phase induction motor. 3. Identify, formulate and solve the numerical problems related to above machines List of Practical: 1.
Obtain Magnetizing Characteristics Self Excited DC Shunt Generator. Also obtain the critical field resistance of the machine from magnetizing characteristics.
2.
Obtain Internal & External Characteristics of Self Excited DC Shunt Generator.
3.
Speed control of DC Shunt Motor using a) Armature control and b) field control methods.
4.
Open circuit and Short circuit test of Single phase transformer.
5.
Load test of Single phase transformer.
6.
Parallel operation of two Single phase transformer.
7.
Conduct open circuit and short circuit test on a three phase three winding transformer and determine the equivalent circuit parameters.
8.
Perform no load and blocked rotor test on a three phase induction motor to find out its performance parameters with the help of (1) Equivalent circuit (2) Circle Diagram.
9.
Perform direct load test on a three phase induction motor to find out its performance parameters at different load condition.
10.
Perform speed control of induction motor using Cascade connection.
11.
Perform open circuit, short circuit and resistance measurement test on synchronous generator.
12.
Find out voltage regulation of synchronous machine by different methods. (1) Synchronous impendence method (2) MMF method (3) ZPF method.
13.
Perform the synchronization of two three phase alternators (or one alternator with grid) using different methods. (1) Lamps dark method (2) Two bright one dark lamp method (3) Synchroscope
PARUL UNIVERSITY - FACULTY OF ENGINEERING & TECHNOLOGY Department of Electronics & Communication Engineering SYLLABUS FOR 3rd Sem BTech PROGRAMME ANALOG AND DIGITAL ELECTRONICS (03107205)
Type of Course: BTech Prerequisite: Knowledge of Physics up to 12th standard, Fundamentals of Electrical Engineering, Knowledge of Basic Electronics Rationale: This subject focuses on the study of analog and digital electronics and digital logic along with the basics of Digital Circuits. It also briefs the students about different types of memories. It informs the students about use of digital and analog electronics in Microprocessors and Microcontrollers and Its application in various electrical related fields Power system protection, instrumentation, power electronics, Electrical Drives and control of Electrical Equipments Teaching and Examination Scheme: Teaching Scheme (Hrs./Week)
Examination Scheme Credit
L
T
3
0
External
Total
Internal
P 2
Theory
Practical
Theory
*C.E.
Practical
60
30
20
20
20
4
150
L-Lectures; T-Tutorial; P-Practical; C.E.-Continuous Evaluation Contents: Sr.
Topic
Weightage
Teaching Hrs.
10%
5
15%
7
15%
7
12%
5
Operational Amplifier::
1
Operational Amplifier: DC amplifier, direct coupled amplifier, differential amplifier, open and closed loop gain of OPAMP, differential input impedance of OPAMP, OPAMP Parameters, slew rate, offset voltage, offset balancing technique, inverting amplifier, non inverting amplifier, frequency response, frequency compensation techniques. OPAMP Applications::
2
OPAMP as adder, subtractor, integrator, differentiator, voltage follower, constant voltage source, constant current source, differential input amplifier, log and antilog amplifier, active peak detector, half wave rectifier, full wave rectifier, comparator, window detector, zero crossing detector, Schmitt trigger, active filters etc. Special Functions of OPAMP:
3
Special Function ICs Multi vibrators Based on 555 and OPAMP, VFC, FVC, PLL, VCO, ADC, DAC, Three terminal regulator ICs, basic block schematic - 78xx & 79xx series - Adjustable output voltage regulator LM 317, LM 340 and LM 337 series power supply ICs, their use and basic design considerations for designing regulated power supplies Number system and codes:
4
Binary, octal, hexadecimal and decimal Number systems and their inter conversion, BCD numbers (8421-2421), gray code, excess±code, cyclic code, code conversion, ASCII, EBCDIC codes. Binary addition and subtraction, signed and unsigned binary numbers, 1''s and 2''s complement representation.
Boolean Algebra: Basic logic circuits: 5
Logic gates (AND, OR, NOT, NAND, NOR, Ex-OR, Ex-NOR and their truth tables), Universal Gates, Laws of Boolean algebra, De-Morgan's theorem, Min term, Max term, POS, SOP, KMAP, Simplification by Boolean theorems, don¶t care condition
12%
4
10%
5
8%
3
8%
5
10%
5
Logic Families: 6
Introduction to digital logic family such as RTL, DTL, TTL, ECL, CMOS, IIR, HTL etc., their comparative study, Basic circuit, performance characteristics, Wired logic, open collector output etc Combinational Logic:
7
Half Adder, Full Adder, Subtractor circuit, Multiplexer De-multiplexer, Decoder, BCD to Seven segment Decoder, Encoders Flip flop and Timing circuit:
8
Set-Reset latches, D flip-flop, R-S flip-flop, J-K flip-flop, Master Slave Flip flop, Edge Triggered flip-flop, T flip-flop. Registers & Counters:
9
Synchronous/Asynchronous counter operation, Up/down synchronous counter, application of counter, Serial in/Serial out shift register, Serial in/Serial out shift register, Serial in/parallel out shift register, parallel in/ parallel out shift register, parallel in/Serial out shift register, Bidirectional register
*Continuous Evaluation: It consists of Assignments/Seminars/Presentations/Quizzes/Surprise Tests (Summative/MCQ) etc. Reference Books: 1.
Fundamentals of Digital Electronics A. Anandkumar; PHI Publication
2.
Op-Amps & Linear ICs Ramakanth A. Gayakwad; PHI
3.
Digital Fundamentals Morris and Mano; PHI Publication
4.
Micro Electronics Circuits SEDRA & SMITH; Oxford Publication
5.
Operational Amplifiers and linear integrated circuits RobertF. Coughlin; Prentice Hall International Inc; Third edition
6.
Operational Amplifier and Linear integrated Circuits K.LAL kishore; Pearsons Publicaton
7.
Digital Fundamentals Thomas L Floyd; Pearson
8.
Fundamentals of Logic Design Charles H. Roth; Thomson Learning; 2003
Course Outcome: After Learning the course the students shall be able to:
After learning the course the students shall be able to: Classify and distinguish OP AMP circuits and based ICs. Interpret and solve different number systems and its inter-conversion. Understand Boolean algebra and construct different combinational circuits. Explain different flip-flops and its applications List of Practical: 1.
Measure input & output offset voltage of OP-AMP, Configure it in voltage follower mode and measure its slew rate.
2.
Verify the Operation of OP-AMP as inverting amplifier & non-inverting amplifier and Measure its Gain & Bandwidth.
3.
Verify the Operation of OP-AMP as Summation & Averaging amplifier.
4.
Verify the Operation of OP-AMP as Differential & Integration amplifier.
5.
To design Schmitt trigger circuit using op-amp and take measurements
6.
To design Monostable, Bistable and Astable multi-vibrators using 555 timer IC and verify their operations using 555 timer IC
7.
To prepare full-wave rectifier using op-amp and verify its operation using Measurements.
8.
To design Butterworth low-pass filter (Sallen-key citcuit), construct the same circuit on breadboard and take necessary measurements.
9.
To Realize several logic gates using universal gates (NAND and NOR logic gates).
10.
To design and realize a combinational circuit to convert binary to gray/gray to binary code.
11.
To design and realize half-adder, full-adder, half-subtractor and full -Substractor combinational circuit.
12.
To design and implementation of encoder, decoder, multiplexer and demultiplexer.
13.
To design & implementation of SR, JK, D & T flip flops.
14.
To design and implement 4-bit ripple counter.
15.
To design and implement Shift Register using D Flip Flop
PARUL UNIVERSITY - FACULTY OF ENGINEERING & TECHNOLOGY Department of Applied Science & Humanities SYLLABUS FOR 3rd Sem BTech PROGRAMME MATHEMATICS -III (03191201)
Type of Course: BTech Prerequisite: Basic concepts of Calculus Rationale: develop a mathematical modeling of real world problems and their solution Teaching and Examination Scheme: Teaching Scheme (Hrs./Week)
Examination Scheme Credit
L
T
3
2
External
Total
Internal
P 0
5
Theory
Practical
Theory
*C.E.
Practical
60
-
20
20
0
100
L-Lectures; T-Tutorial; P-Practical; C.E.-Continuous Evaluation Contents: Sr.
Topic
Weightage
Teaching Hrs.
20%
10
20%
10
15%
7
15%
7
Second and Higher order Ordinary Differential Equations and Applications::
1
Homogeneous Linear Equations of Second and Higher order with Constant coefficient, Non-Homogeneous Equations- Method of Variation of Parameter, Undetermined Coefficient method, Variable coefficient- Euler Cauchy Equation, Mathematical Modeling (Mass Spring System- Damped, Undamped, Forced Oscillation; Electrical Circuit)Homogeneous Linear Equations of Second and Higher order with Constant coefficient, Non-Homogeneous Equations- Method of Variation of Parameter, Undetermined Coefficient method, Variable coefficient- Euler Cauchy Equation, Mathematical Modeling (Mass Spring System- Damped, Undamped, Forced Oscillation; Electrical Circuit) Laplace Transformation:
2
Laplace Transform, Linearity of Laplace Transform, Laplace transform of elementary function, Inverse Transform, First Shifting Theorem, Differentiation and Integration of Transform, Transform of Derivatives and Integrals, Unit Step Function, Second Shifting Theorem, Dirac¶s Delta Function, Convolution theorem, Partial Fraction, Solution of Ordinary Differential Equations. Fourier Series and Fourier Integral::
3
Periodic Function, Trigonometric series, Fourier Series, Function of any period p=2L, Even and Odd function, Half Range Expansion, Fourier Integral, Fourier sine and cosine Integral. Z- Transform:
4
Linearity, Z- transform of elementary functions, Shifting theorem, initial and final value theorem, Convolution theorem, inversion of Ztransform, solution of difference equations by Z- Transforms
Partial Differential Equations: 5
Basic Concept, Degree and order of PDE, Formation of PDE, Linear equation, Non Linear: Charpit¶s Method, Special forms of Non-linear equation, Second order partial Differential equations, Separation of variable.
17%
8
13%
6
Application of Partial Differential Equations:: 6
Wave equation, One Dimension Heat Equation, Laplace equation
*Continuous Evaluation: It consists of Assignments/Seminars/Presentations/Quizzes/Surprise Tests (Summative/MCQ) etc. Reference Books: 1.
1. Advanced Engineering Mathematics Erwin Kreyszig; Willey India Edition
2.
2. Integral Transforms for Engineers Larry S. Andrews; Bhimsen K. Shivamoggi
3.
3. Integral Transforms and their applications Lokenath Debnath, Dambaru Bhatta; Chapman and Hall/CRC (Unit 4)
Course Outcome: After Learning the course the students shall be able to: Course Outcome: After learning the course the students will be able to: 1. Solve differential equation by Laplace transform 2. Solve differential equation using Z-transform 3. Solve Partial Differential Equations 4. Understand the Importance of numerical method in real world problem where analytic methods fails. List of Tutorial: 1.
Methods to solve Second Order Ordinary Differential Equations
2.
Mathematical Modelling through Second Order Differential Equations
3.
Laplace Transformations
4.
Inverse Laplace Transformations
5.
Applications of Laplace Transformations
6.
Fourier Series and its Applications
7.
Fourier Integral and its Applications
8.
Z- Transformation
9.
Partial Differential Equations
10.
Applications of Partial Differential Equations
PARUL UNIVERSITY - FACULTY OF ENGINEERING & TECHNOLOGY Department of CDC SYLLABUS FOR 3rd Sem BTech PROGRAMME Professional Communication 1 (03193201)
Type of Course: BTech Prerequisite: Rationale: Teaching and Examination Scheme: Teaching Scheme (Hrs./Week)
Examination Scheme Credit
L
T
-
2
External
Total
Internal
P -
2
Theory
Practical
Theory
*C.E.
Practical
60
-
20
20
-
100
L-Lectures; T-Tutorial; P-Practical; C.E.-Continuous Evaluation Contents: Sr.
Topic
Weightage
Teaching Hrs.
1
Email and letter writing: Trains students on detailed email and letter writing etiquette. Giving practice and feedback on the same.
10%
2
2
Listening to workplace communication: Provides practice on understanding accents and workplace related conversations. Students become well-versed in listening to English conversations of business context.
5%
2
3
Reading -- Understanding the theme of a passage and Reading Comprehension: Developing ability to understand the theme of a passage. Trains students on reading skill through practice passages. exposing students to jargons and words used in the workplace environment.
10%
4
10%
2
10%
2
10%
4
Idioms and Phrasal Verbs: 4
Students will understand meanings and origin stories of idioms through illustrative examples, and ways to use phrasal verbs in sentences. Speaking - Participating in discussions:
5
Students will be encouraged to step on to the stage and discuss in groups various workplace scenarios.
Vocabulary: Words that describe all kinds and sorts of people, including: 6
terms for self-interest, reactions to the world, attitudes to others, skill and awkwardness, marital states,
Hatred of man, of woman and of marriage.
Collocations, Gerund and Infinitives:
7
Students will be trained using various drills and activities. Students will understand and use verbs and tenses, which are the basic
5%
2
10%
2
10%
2
10%
4
5%
2
5%
2
5%
2
tenets of proper English communication and sentence construction. Tenses: 8
Forming sentences of different tenses, converting from one form to another, and also their meanings and usage will be taught using simple examples. Forms and Speech and Voice:
9
Basics of Active-Passive Voice and Direct-Indirect Speech will be discussed through practical demonstrations and examples.
Letting students build a strong base for aptitude based verbal topics. Movie Review writing and speaking: 10 A movie will be shown and related to the same movie writing and speaking tasks will be given to students. Classification of sentences and Punctuations:
11
Students will be trained on the basic types of sentences ranging from Simple, Compound, Complex to Interrogative, Declarative etc. along with knowledge of where to use them.
Extensive practice on transforming sentences from one type to the other type will be provided to strengthen the basic knowledge of students. Recap session ± 12 Recapping all of the grammar topics taught through rigorous practice and repetition, so that students do not forget the basics learned. Recap session ± 13 Recapping all of the grammar topics taught through rigorous practice and repetition, so that students do not forget the basics learned. *Continuous Evaluation: It consists of Assignments/Seminars/Presentations/Quizzes/Surprise Tests (Summative/MCQ) etc. Reference Books: 1.
1. Technical Communication : Principles And Practice Sangeetha Sharma, Meenakshi Raman
2.
Word Power Made Easy Norman Lewis
