RGPV CBGS 3rd Semester Computer Science & Engineering Syllabus

 Computer Science & Engineering, III-Semester 

BE-3001 Mathematics-III (Syllabus for CS, IT, & EC Branches ) 

COURSE OBJECTIVE- The objective of this course is to fulfill the needs of Engineers to understand the Applications of Fourier Series, Fourier & Laplace Transforms and Statistical Techniques in order to acquire Mathematical knowledge and to Solving a wide range of Practical Problems Appearing in the CS/IT/EC discipline of Engineering. 

Course Contents 

Fourier Series: Fourier Series for Continuous & Discontinuous Functions, Expansion of odd and even periodic functions, Half-range Fourier series, Complex form of Fourier Series.

Integral Transforms: Fourier Transform: Complex Fourier Transform, Fourier Sine and Cosine Transforms, Applications of Fourier Transform in Solving the Ordinary Differential Equation. Laplace Transform: Introduction of Laplace Transform, Laplace Transform of elementary Functions, Properties of Laplace Transform, Change of Scale Property, First and Second Shifting Properties, Laplace Transform of Derivatives and Integrals. Inverse Laplace Transform & its Properties, Convolution theorem, Applications of Laplace Transform in solving the Ordinary Differential Equations. 

Random Variables: Discrete and Continuous Random Variables, Probability Function, Distribution Function, Density Function, Probability Distributions, Mean and Variance of Random Variables.

  Distribution: Discrete Distributions- Binomial & Poisson Distributions with their Constants, Moment Generating Functions, Continuous Distribution- Normal Distribution, Properties, Constants, Moments. Curve Fitting using Least Square Method.

CS-3002 Electronic Devices & Circuits 

Course Contents 

Semiconductor devices, theory of P-N junction, temperature dependence and break down characteristics, junction capacitances. Zener diode, Varactor diode, PIN diode, LED, Photo diode, Transistors BJT, FET, MOSFET, types, working principal, characteristics, and region of operation, load line biasing method. Transistor as an amplifier, gain, bandwidth, frequency response, Type of amplifier. 

Feedback amplifier, negative feedback, voltage-series, voltage shunt, current series and current shunt feedback, Sinusoidal oscillators, L-C (Hartley-Colpitts) oscillators, RC phase shift, Wien bridge, and Crystal oscillators. Power amplifiers, class A, class B, class A B, C amplifiers, their efficiency and power Dissipation. 

Switching characteristics of diode and transistor turn ON, OFF time, reverse recovery time, transistor as switch, Multivibrators, Bistable, Monostable, Astable multivibarators. Clippers and clampers, Differential amplifier, calculation of differential, common mode gain and CMRR using hparameters. 

Operational amplifier characteristics, slew rate, full power bandwidth, offset voltage, bias current, application ,inverting , non inverting amplifier , summer, differentiator, integrator, differential amplifier , instrumentation amplifier, log and antilog amplifier , voltage to current and current to voltage converters , comparators Schmitt trigger. 

Introduction to IC, Advantages and limitations, IC classification, production process of monolithic IC, fabrication of components on monolithic IC, IC packing, general integrated circuit technology, photolithographic process, un polar IC’s, IC symbols. 

List of Experiments: 

1. Diode and Transistor characteristics 

2. Transistor Applications (Amplifier and switching) 

3. OP-Amp and its Applications 

4. 555 timer and its Applications

CS-3003 Digital Circuit & Design 

PREREQUISITE: Electronic Device & Circuits (Transistors, Capacitors, Inductors,), other Hardwares. 

OBJECTIVES To expose the students to perform binary arithmetic and conversion from one number system to another and learn different Boolean simplification techniques. We learn the design and analysis of combinational and sequential circuits. 

Course Contents 

Number systems & codes, Binary arithmetic, Boolean algebra and switching function. Minimization of switching function, Concept of prime implicant, Karnaugh map method, Quine McCluskey’s method,Cases with don’t care terms, Multiple output switching function. 

Introduction to logic gates, Universal gate, Half adder,Half subtractor, Full adder, Full subtractor circuits, Series & parallel addition, BCD adders, Look-ahead carry generator. 

Linear wave shaping circuits, Bistable, Monostable & Astable multivibrator, Schmitt Trigger circuits & Schmitt-Nand gates. Logic families:RTL, DTL, All types of TTL circuits, ECL, I2L, PMOS, NMOS, & CMOS logic, Gated flip- flops and gated multivibrator, Interfacing between TTL to MOS. 

Decoders, Encoders, Multiplexers, Demultiplexers, Introduction to various semiconductor memories, & designing with ROM and PLA. 

Introduction to Shift Registers, Counters, Synchronous & Asynchronous counters, Designing of combinational circuits like code converters. Introduction of Analog to Digital & Digital to Analog converters, sample & hold circuits and V-F converters. 

OUTCOMES: Upon completion of the course, the students will be able to Perform Simplification of Boolean Functions using Theorems and Karnaugh Maps and Convert between digital codes using encoder/decoder .Student can analyze combinational circuits and sequential circuits . 

List of Experiments : 

1.To study and test operation of all logic gates for various IC’s )IC#7400, IC#7403, IC#7408, IC#7432, IC#7486) 

2.Verification of DeMorgan’s Theorem. 

3.To construct half adder and full adder. 

4.To construct half subtractor and full subtractor circuits. 

5.Verification of versatility of NAND gate. 

6. Verification of versatility of NOR gate. 

7. Designing and verification of property of full adder. 

8.Design a BCD to excess-3 code convertor. 

9.Design a Multiplexer/Demultiplexer 

CS-3004 Data Structures-II 

Objectives 

Data structures play a central role in modern computer science. In addition, data structures are essential building blocks in obtaining efficient algorithms. The objective of the course is to teach students how to design, write, and analyze the performance of programs that handle structured data and perform more complex tasks, typical of larger software projects. Students should acquire skills in using generic principles for data representation & manipulation with a view for efficiency, maintainability, and codereuse. Another goal of the course is to teach advance data structures concepts, which allow one to store collections of data with fast updates and queries. 

Course Contents 

Introduction –Common operations on data structures, Types of data structures, Data structures & Programming, Program Design, Complexities, Time Complexity, order of Growth, Asymptotic Notation. 

Advanced Data Structures-Hash tables ,Heaps , Complexity , Analysis of Heap Operations , Application of Heap , AVL tress , Insertion & Deletion in AVL tree , Red Black Trees , Properties of Red Black trees ,Insertion & Deletion in Red Black tree . 

Sorting –Need for sorting , Types of sorting algorithm-Stable sorting Algorithm, Internal & External sorting algorithm , Outline and offline algorithm ,Sorting Techniques-Insertion , Shell , Selection , Merge ,Quick sort, Radix sort ,bucket sort . 

Augmenting Data structures – Augmenting a red black trees, Retrieving an element with a given rank , Determining the rank of element ,Data structure Maintenance ,An augmentation strategy ,Interval Trees. 

File structures- Basic file operations, File organization –Sequential file organization, Indexed sequential file organization, Direct file organization. External merge sort, Multiway Merge sort, Tournament Tree ,Replacement Selection . 

CS-3005 Discrete Structures 

Objective-

This course introduces the applications of discrete mathematics in the field of computer science. It covers sets, logic, proving techniques, combinatorics, functions, relations, Graph theory and algebraic structures. These basic concepts of sets, logic functions and graph theory are applied to Boolean Algebra and logic networks while the advanced concepts of functions and algebraic structures are applied to finite state machines and coding theory. 

Course Contents 

Set Theory, Relation, Function, Theorem Proving Techniques : Set Theory: Definition of sets, countable and uncountable sets, Venn Diagrams, proofs of some general identities on sets Relation: Definition, types of relation, composition of relations, Pictorial representation of relation, Equivalence relation, Partial ordering relation, Job-Scheduling problem Function: Definition, type of functions, one to one, into and onto function, inverse function, composition of functions, recursively defined functions, pigeonhole principle. Theorem proving Techniques: Mathematical induction, Proof by contradiction. 

Algebraic Structures: Definition, Properties, types: Semi Groups, Monoid, Groups, Abelian group, properties of groups, Subgroup, cyclic groups, Cosets, factor group, Permutation groups, Normal subgroup, Homomorphism and isomorphism of Groups, example and standard results, Rings and Fields: definition and standard results. 

Propositional Logic: Proposition, First order logic, Basic logical operation, truth tables, tautologies, Contradictions, Algebra of Proposition, logical implications, logical equivalence, predicates, Normal Forms, Universal and existential quantifiers. Introduction to finite state machine Finite state machines as models of physical system equivalence machines, Finite state machines as language recognizers 

Graph Theory: Introduction and basic terminology of graphs, Planer graphs, Multigraphs and weighted graphs, Isomorphic graphs, Paths, Cycles and connectivity, Shortest path in weighted graph, Introduction to Eulerian paths and circuits, Hamiltonian paths and circuits, Graph coloring, chromatic number, Isomorphism and Homomorphism of graphs. 

Posets, Hasse Diagram and Lattices: Introduction, ordered set, Hasse diagram of partially, ordered set, isomorphic ordered set, well ordered set, properties of Lattices, bounded and complemented lattices. Combinatorics: Introduction, Permutation and combination, Binomial Theorem, Multimonial Coefficients Recurrence Relation and Generating Function: Introduction to Recurrence Relation and Recursive algorithms , Linear recurrence relations with constant coefficients, Homogeneous solutions, Particular solutions, Total solutions , Generating functions , Solution by method of generating functions. W.E.F. July 2017 Academic Session 2017-18 

Outcome:-After this completion student will be familiar with relational algebra,Functions and graph theory.

CS-3006 Computer Programming-I (Java Technologies) 

Objective: To introduce and understand students to programming concepts and techniques using the Java language and programming environment, class, objects , also learn about lifetime, scope and the initialization mechanism of variables and improve the ability general problem solving abilities in programming. Be able to use the Java SDK environment to create, debug and run simple Java program. 

Basic Java Features - C++ Vs JAVA, JAVA virtual machine, Constant & Variables, Data Types, Class, Methods,Objects, Strings and Arrays, Type Casting, Operators, Precedence relations, Control Statements, Exception Handling, File and Streams, Visibility, Constructors, Operator and Methods Overloading, Static Members, Inheritance: Polymorphism, Abstract methods and Classes 

Java Collective Frame Work - Data Structures: Introduction, Type-Wrapper Classes for Primitive Types, Dynamic Memory Allocation, Linked List, Stack, Queues, Trees, Generics: Introduction, Overloading Generic Methods, Generic Classes, Collections: Interface Collection and Class Collections, Lists, Array List and Iterator, Linked List, Vector. Collections Algorithms: Algorithm sorts, Algorithm shuffle, Algorithms reverse, fill, copy, max and min Algorithm binary Search, Algorithms add All, Stack Class of Package java. Util, Class Priority Queue and Interface Queue, Maps, Properties Class, Un-modifiable Collections. 

Advance Java Features - Multithreading: Thread States, Priorities and Thread Scheduling, Life Cycle of a Thread, Thread Synchronization, Creating and Executing Threads, Multithreading with GUI,Monitors and Monitor Locks. Networking: Manipulating URLs, Reading a file on a Web Server, Socket programming, Security and the Network, RMI, Networking, Accessing Databases with JDBC: Relational Database, SQL, MySQL, Oracle

Advance Java Technologies - Servlets: Overview and Architecture, Setting Up the Apache Tomcat Server, Handling HTTP get Requests, Deploying a web Application, Multitier Applications, Using JDBC from a Servlet, Java Server Pages (JSP): Overview, First JSP Example, Implicit Objects, Scripting, Standard Actions, Directives, Multimedia: Applets and Application: Loading, Displaying and Scaling Images, Animating a Series of Images, Loading and playing Audio clips 

Advance Web/Internet Programming (Overview): J2ME, J2EE, EJB, XML.

List of Program : 

1. Installation of J2SDK 

2. Write a program to show Scope of Variables 

3. Write a program to show Concept of CLASS in JAVA 

4. Write a program to show Type Casting in JAVA 

5. Write a program to show How Exception Handling is in JAVA 

6. Write a Program to show Inheritance 

7. Write a program to show Polymorphism 

8. Write a program to show Access Specifiers (Public, Private, Protected) in JAVA 

9. Write a program to show use and Advantages of CONTRUCTOR 

10. Write a program to show Interfacing between two classes 

11. Write a program to Add a Class to a Package 

12. Write a program to show Life Cycle of a Thread 

13. Write a program to demonstrate AWT. 

14. Write a program to Hide a Class 

15. Write a Program to show Data Base Connectivity Using JAVA 

16. Write a Program to show “HELLO JAVA ” in Explorer using Applet 

17. Write a Program to show Connectivity using JDBC 

18. Write a program to demonstrate multithreading using Java. 

19. Write a program to demonstrate applet life cycle. 

20. Write a program to demonstrate concept of servlet. 

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RGPV B.E 3rd Semester M-III proposed Syllabus

This is to inform you that RGPV has declared Mathematics III syllabus for B.E 3rd Semester ME/AU/CM/FT/IP/MI branch students.

M-III (BE III ) ME/AU/CM/FT/IP/MI Branches )

Course Contents (Proposed)

Unit: I Fourier Series: 

Fourier Series for Continuous & Discontinuous Functions, Expansion of odd and even periodic

functions, Half range Fourier series, Complex form of Fourier Series, Parseval’s formula.

Unit: II 

Fourier Transform: Complex Fourier Transform, Fourier Sine and Cosine Transforms.

Unit: III 

Laplace Transform: Introduction of Laplace Transform, Laplace Transform of elementary Functions, Properties of Laplace Transform, Change of Scale Property, First and Second Shifting Properties, Laplace Transform of Derivatives and Integrals. Inverse Laplace Transform & its Properties, Convolution theorem, Applications of Laplace Transform in solving the Ordinary Differential Equations.

Unit: IV

Functions of Complex Variables : Analytic functions, Harmonic Conjugate, Cauchy-Riemann Equations, Line Integral, Cauchy’s Theorem, Cauchy’s Integral Formula, Singular Points, Poles & Residues, Residue Theorem , Application of Residues theorem for Evaluation of Real Integrals.

Unit: V

Vector Calculus: Differentiation of Vectors, Scalar and Vector Point functions, Gradient, Directional derivative, Divergence and Curl. Line Integral, Surface Integral and Volume Integral, Stoke’s Theorem and Gauss divergence theorem. 

References:

1. Erwin Kreyszig: Advanced Engineering Mathematics, Wiley India.

2. B.S. Grewal: Higher Engineering Mathematics , Khanna Publication.

3. Engineering Mathematics By Samnta Pal and Bhutia, Oxford Publication

4. Ramana: Advance Engg. Mathematics, TMH New Delhi

5. Numerical Methods for Engineers by Steven C. Chapra, McGraw Hill Education

6. Introductory Methods of Numerical Analysis by S. S. Sastry, PHI Learning Pvt. Ltd.

7. Numerical Methods By Shrimanta Pal, Oxford

Continue Reading →

RGPV B.E 3rd Semester M-III proposed Syllabus

This is to inform you that RGPV has declared Mathematics III syllabus for B.E 3rd Semester EC/EX/EE/EI/BM Branches students.

M-III (BE III ) EC/EX/EE/EI/BM Branches )

Course Contents (Proposed)

Unit: I Fourier Series: 

Fourier Series for Continuous & Discontinuous Functions, Expansion of odd and even periodic

functions, Half range Fourier series, Complex form of Fourier Series, Parseval’s formula.

Unit: II 

Fourier Transform: Complex Fourier Transform, Fourier Sine and Cosine Transforms.

Unit: III 

Laplace Transform: Introduction of Laplace Transform, Laplace Transform of elementary Functions, Properties of Laplace Transform, Change of Scale Property, First and Second Shifting Properties, Laplace Transform of Derivatives and Integrals. Inverse Laplace Transform & its Properties, Convolution theorem, Applications of Laplace Transform in solving the Ordinary Differential Equations.

Unit: IV

Functions of Complex Variables : Analytic functions, Harmonic Conjugate, Cauchy-Riemann Equations, Line Integral, Cauchy’s Theorem, Cauchy’s Integral Formula, Singular Points, Poles & Residues, Residue Theorem , Application of Residues theorem for Evaluation of Real Integrals.

Unit: V

Vector Calculus: Differentiation of Vectors, Scalar and Vector Point functions, Gradient, Directional derivative, Divergence and Curl. Line Integral, Surface Integral and Volume Integral, Stoke’s Theorem and Gauss divergence theorem.

References:

1. Erwin Kreyszig: Advanced Engineering Mathematics, Wiley India.

2. B.S. Grewal: Higher Engineering Mathematics , Khanna Publication.

3. Engineering Mathematics By Samnta Pal and Bhutia, Oxford Publication

4. Ramana: Advance Engg. Mathematics, TMH New Delhi

5. Numerical Methods for Engineers by Steven C. Chapra, McGraw Hill Education

6. Introductory Methods of Numerical Analysis by S. S. Sastry, PHI Learning Pvt. Ltd.

7. Numerical Methods By Shrimanta Pal, Oxford

Continue Reading →

RGPV B.E 3rd Semester M-III proposed Syllabus

This is to inform you that RGPV has declared Mathematics III syllabus for B.E 3rd Semester Computer Science and Information Technology branch students.

M-III (BE III ) CS/IT Branches )

Course Contents (Proposed)

Unit: I Fourier Series: 

Fourier Series for Continuous & Discontinuous Functions, Expansion of odd and even periodic

functions, Half range Fourier series, Complex form of Fourier Series, Parseval’s formula.

Unit: II 

Fourier Transform: Complex Fourier Transform, Fourier Sine and Cosine Transforms.

Unit: III 

Laplace Transform: Introduction of Laplace Transform, Laplace Transform of elementary Functions, Properties of Laplace Transform, Change of Scale Property, First and Second Shifting Properties, Laplace Transform of Derivatives and Integrals. Inverse Laplace Transform & its Properties, Convolution theorem, Applications of Laplace Transform in solving the Ordinary Differential Equations.

Unit: IV

Random Variables: Discrete and Continuous , Probability Function, Distribution Function, Density Function, Probability Distribution, Mean and Variance. .

Unit: V

Distribution: Discrete Distributions- Binomial & Poisson Distributions with their Constants, Moment Generating Functions, Expected Frequencies & Fittings, Continuous Distribution- Normal or Gaussian Distribution with normal curve, Properties, Constants, Moments, Method of Area of Fitting a normal distribution & Exponential Distribution.  

References:

1. Erwin Kreyszig: Advanced Engineering Mathematics, Wiley India.

2. B.S. Grewal: Higher Engineering Mathematics , Khanna Publication.

3. Engineering Mathematics By Samnta Pal and Bhutia, Oxford Publication

4. Ramana: Advance Engg. Mathematics, TMH New Delhi

5. Numerical Methods for Engineers by Steven C. Chapra, McGraw Hill Education

6. Introductory Methods of Numerical Analysis by S. S. Sastry, PHI Learning Pvt. Ltd.

7. Numerical Methods By Shrimanta Pal, Oxford

Continue Reading →

RGPV B.E 3rd Semester M-III proposed Syllabus

This is to inform you that RGPV has declared Mathematics III syllabus for B.E 3rd Semester Civil and Textile branch students.

M-III (BE III ) CE/TX Branches )

Course Contents (Proposed)

Unit: I Fourier Series: 

Fourier Series for Continuous & Discontinuous Functions, Expansion of odd and even periodic

functions, Half range Fourier series, Complex form of Fourier Series, Parseval’s formula.

Unit: II 

Fourier Transform: Complex Fourier Transform, Fourier Sine and Cosine Transforms.

Unit: III 

Laplace Transform: Introduction of Laplace Transform, Laplace Transform of elementary Functions, Properties of Laplace Transform, Change of Scale Property, First and Second Shifting Properties, Laplace Transform of Derivatives and Integrals. Inverse Laplace Transform & its Properties, Convolution theorem, Applications of Laplace Transform in solving the Ordinary Differential Equations.

Unit: IV

Functions of Complex Variables : Analytic functions, Harmonic Conjugate, Cauchy-Riemann Equations, Line Integral, Cauchy’s Theorem, Cauchy’s Integral Formula, Singular Points, Poles & Residues, Residue Theorem , Application of Residues theorem for Evaluation of Real Integrals.

Unit: V

Solution of Ordinary Differential equations: Picard’s, Taylor’s Series, Eulers’s, Modified Eulers’s, Runge-Kutta, Milne’s and Adam’s Bashforth Method; 

Unit: VI

Numerical Solution of Difference Equations: Classification of Partial

Differential Equations. Numerical Solution of Elliptic , Parabolic & Hyperbolic Equations.

References:

1. Erwin Kreyszig: Advanced Engineering Mathematics, Wiley India.

2. B.S. Grewal: Higher Engineering Mathematics , Khanna Publication.

3. Engineering Mathematics By Samnta Pal and Bhutia, Oxford Publication

4. Ramana: Advance Engg. Mathematics, TMH New Delhi

5. Numerical Methods for Engineers by Steven C. Chapra, McGraw Hill Education

6. Introductory Methods of Numerical Analysis by S. S. Sastry, PHI Learning Pvt. Ltd.

7. Numerical Methods By Shrimanta Pal, Oxford

Continue Reading →

RGPV B.E 2nd Sem CBCS Syllabus

 HU110 ENGLISH

COURSE OBJECTIVE: The objective of this foundational course is to develop the second language learners’ ability to use the four fundamental language skills – listening, speaking, writing and reading. The objective of this laboratory is to practice English phonetics through audio & visual aids and computer software. It intends to enable student to speak English correctly with confidence. 

COURSE CONTENT: 

Grammar – Applied Grammar and usage, Parts of Speech, Articles, Tenses, Subject-Verb Agreement, Prepositions, Active and Passive Voice, Reported Speech: Direct and Indirect, Sentence Structure, Punctuations.

Vocabulary Development – Using Dictionaries and Thesaurus, Synonyms, Antonyms, Homophones, One Word Substitution, Affixation: Prefixes & Suffixes, Derivation from root words, Jargon, Scientific Jargon. 

Developing Reading Skills – Reading Comprehension, Process, Active & Passive Reading, Reading Speed Strategies, Benefits of effective reading, note-making, note- taking, Reading comprehension of technical material and SQ3R reading technique 

Developing Writing Skills – Planning, Drafting & Editing, Writing with style, right-words selection, writing effective sentences, developing logical paragraphs, art of condensation, précis, essay, technical definition and technical description 

Business Correspondence – Business Letters, Parts & Layouts of Business Letters, Writing Resume/ Application Calling/ Sending Quotations/ Orders/ Complaints and E-mails 

Topics for the Laboratory: 

1. Basic Grammar & Vocabulary Practice (Synonyms, Antonyms, Analogies, Sentence Completion, Correctly Spelt Words, Idioms, Proverbs, Common Errors. 

2. Phonetic Symbols, Pronunciations 

3. Listening Skills – Including Listening Comprehension 

4. Extempore and JAM (Just a Minute Session) 

5. Role Play – I 

6. Role play – II 

7. Body Language 

8. Debate 

9. Oral Presentation – Preparation & Delivery using Audio – Visual Aids with stress on body language and voice modulations. (Topics to be selected by the Instructor) 

COURSE OUTCOMES Student after successful completion of course must possess sound language skills. They must also feel confident in communicating their ideas and feelings. After laboratory exercises, students must possess sound language skills. They must also feel confident in communicating their ideas to others. 

EVALUATION Evaluation will be continuous an integral part of the class as well through external assessment. Laboratory assessment will be based on assignments, presentations, and interview of each candidate. 

REFERENCES A.J. Thomson and A.V. Martinet, A Practical English Grammar, Oxford IBH Pub Sanjay Kumarm Pushp Lata, English for Effective Communication, Oxford

 COMMUNICATION HU111 

COURSE OBJECTIVE: The objective of this course is to help students to acquire reading and writing skills in a self-learning mode. 

COURSE CONTENT: 

Exercises to be performed by students: 

 Reading text selection from the list given below 

 To write a book-review 

COURSE OUTCOMES Student after successful completion of course must possess sound comprehension skills. They must also feel confident in writing reviews and comments on the read material. 

EVALUATION Evaluation will be continuous an integral part of the class. Assessment will be based on assignments, presentations, and interview of each candidate. 

REFERENCES 

1. My Experiments with Truth by Mahatma Gandhi 

2. Wings of Fire by Dr. APJ Abdul Kalam 

3. History of Everything by Stephen Hawkings 

4. A Passage to India by E.M. Forster 

5. The Argumentative Indian by Amartya Sen 

6. The Old Man and the Sea by Ernest Hemingway 

7. Life of Pi by William Dalrymple 

8. The Alchemist by Paulo Coehlo 

9. The Eighth Habbit by Stephen Covey 

10. The Road Less Travelled by M.Scott Peck

MA110 MATHEMATICS

COURSE OBJECTIVE: The objective of this foundational course is to review mathematical concepts already learnt in higher secondary. This course will also introduce fundamentals of mathematical functions, derivatives and aspects of calculus to students.

COURSE CONTENT:

Recapitulation of Mathematics: Basics of Differentiation, Rolle’s and Lagranges Theorem, Tangents and Normals, Indefinite Integral (Substitution, Integration using Trigonometric Identity & Integration by Parts & Definite Integral).

Ordinary Derivatives & Applications: Expansion of functions by Maclaurin’s & Taylor’s Theorem (One Variable), Maxima and Minima of functions of two variables, Curvature (Radius, Center & Circle of Curvature for Cartesian Coordinates), Curve Tracing.

Partial Derivatives & Applications: Definition, Euler’s Theorem for Homogeneous Functions, Differentiation of Implicit Functions, Total Differential Coefficient, Transformations of Independent Variables, Jacobians, Approximation of Errors.

Integral Calculus: Definite Integrals as a Limit of Sum, Application in Summation of series, Beta and Gamma functions (Definitions, Relation between Beta and Gamma functions, Duplication formula, Applications of Beta & Gama Functions).

Applications of Integral Calculus: Multiple Integral (Double & Triple Integrals), Change of Variables, Change the Order of Integration, Integral in Area, Volume, Surfaces & Volume of Solid of Revolution about X-Axis & Y-Axis. COURSE OUTCOMES The curriculum of the Department is designed to satisfy the diverse needs of students. Coursework is designed to provide students the opportunity to learn key concepts of mathematical functions, partial derivatives as well as fundamentals and applications of integral calculus.


EVALUATION Evaluation will be continuous an integral part of the class as well through external assessment.

REFERENCES Michael Greenberg, Advanced Engineering Mathematics, Second Edition, Pearson Education, 2002 (Indian Edition). B.V. Rammana, Higher Engineering Mathematics, Tata McGraw Hill Publishing Company, 2007. Potter, Goldberg & Edward, Advanced Engineering Mathematics, Oxford University Press. S. S. Shastry, Engineering Mathematics, PHI Learning C.B. Gupta, Engineering Mathematics I & II, McGraw Hill India, 2015.

MA111 MATHEMATICS- II 

COURSE OBJECTIVE: The objective of this foundational course is to review mathematical concepts already learnt in higher secondary. This course deep understanding of matrix, differential equations as well as a strong sense of how useful the subject can be in other disciplines of learning.

COURSE CONTENT: 

Matrices & Linear Systems: Rank of a Matrix (By reducing it to Elementary Transformation, Echelon & Normal Forms), Solution of Simultaneous equations by Elementary Transformation Methods, Consistency & Inconsistency of Equations, Eigen Values & Eigen Vectors, Cayley- Hamilton Theorem..

Ordinary Differential Equations-I: First-order differential equations (Separable, Exact, Homogeneous, Linear), Linear differential Equations with constant coefficients. Ordinary

Differential Equations-II: Homogeneous linear differential equations, Simultaneous linear differential equations. Second-Order Linear Differential Equations with Variable Coefficients: Solution by Method of Undetermined Coefficients, ByS Known Integral, Removal of First Derivative, Change of Independent Variable and Variation of Parameters.

Partial Differential Equations-I: Definition, Formulation, Solution of PDE ( By Direct Integration Method & Lagranges Method), Non-Linear Partial Differential Equation of First order {Standard I, II, III & IV), Charpit’s General Method of Solution Partial Differential equations.

Partial Differential Equations-II: Partial Differential Equations with Constant Coefficients (Second and Higher Orders Homogeneous and Non- Homogeneous equations), Partial differential Equations Reducible to equations with constant coefficients, The Method of Separation of Variables.

COURSE OUTCOMES The curriculum of the Department is designed to satisfy the diverse needs of students. Coursework is designed to provide students the opportunity to learn key concepts of matrix, differential equations and their applications.

EVALUATION Evaluation will be continuous an integral part of the class as well through external assessment.

REFERENCES Dean G. Duffy, Advanced Engineering Mathematics with MATLAB, CRC Press, 2013. E. Kreyszig, Advanced Engineering Mathematics, John Wiley & Sons Inc. Michael Greenberg, Advanced Engineering Mathematics, Second Edition, Pearson Education, 2002 (Indian Edition). B.V. Rammana, Higher Engineering Mathematics, Tata McGraw Hill Publishing Company, 2007. Shanti Narayan, A Course of Mathematical Analysis. S. Chhand & Co. Delhi. Marwaha, Introduction to Linear Algebra, PHI Learning.

ML110 ENVIRONMENTAL SCIENCES 

COURSE OBJECTIVE: This course introduces students to environment concerns. Students are expected to learn about environment, factors affecting it, environmental ethics and its protection through lectures, presentations, documentaries and field visits.

COURSE CONTENT:

Introduction: Domestic and Global Environmental concerns, principles of sustainable development, Sustainable agriculture, organic farming, bio-fuels, Threats for sustainability

Environmental Ethics & Legislations: Enforcement of Environment laws in India – The water act, The Air (Prevention and Control of Pollution) Act, 1981, The Environment (Protection) Act, 1986, Environmental Auditing

Environmental Pollution: Air Pollution – sources, types of air pollutants, National Ambient Air Quality Standards, Controlling Air Pollution. Water pollution – sources, types of water pollutants, water quality indicators, water quality standards. Soil Pollution - types of soil pollutants: industrial wastes, pesticides, fertilizers and manures, salination of soil, Controlling Soil Pollution.

Environmental Challenges: Local Challenges - Solid Waste – Impact of solid waste on natural resources, Deforestation; Global Challenges - climate change and global warming, Kyoto Protocol, Greenhouse Gases, Ways to reduce Greenhouse gases emissions, Carbon Footprint, ways to reduce carbon footprint, Carbon Trading.

Sustainable habitat, industrialisation and urbanization: Concept of Green Building, Volatile Organic Compounds (VOC), GRIHA Rating, LEED Rating, HVAC, Hybrid Car Technology, Industrial ecology, India’s renewable energy capacity. Green Technology & Green Business: Green Business, Green Computing, E-waste management.

COURSE OUTCOMES Student after successful completion of course must possess an understanding of environment, eco-system and its consequences of unbalancing the environment. After successful completion of this course, student will earn 2 credits.

EVALUATION Evaluation will be continuous an integral part of the class as well through external assessment.

REFERENCES R. Rajagopalan, Environmental Studies, Oxford IBH Pub, 2011. Kogent Learning Solutions Inc., Energy, Environment, Ecology and Society, Dreamtech, 2012. Rag, R. L, Ramesh, Lekshmi Dinachandran, Introduction to sustainable engineering.

IT110 INTRODUCTION TO INFORMATION TECHNOLOGY 

COURSE OBJECTIVE: This course introduces students about the basic fundamentals of Information Technology (IT). Students are expected to learn about applications of IT in communication, multimedia, internet and cloud computing.

COURSE CONTENT: 

Data and Information: Introduction, Type of data, Simple model of computer.

Data processing using a computer: Introduction to Operating System, Data storage Media, High capacity network storage media.

Introduction to Database Management System; Database modelling; Relational model; Distributed DBMS; Data warehouse, Data mining; Classification of Language and Applications

IT Application in Communication: Network services-telephone services, Cellular telephone services, Radio and TV broadcasting, Audio-Visual conferencing, Video-on-demand.

Internet Technology: Introduction, Working of internet, Introduction to network protocol and topologies, Types of network: LAN, WAN, Web browser.

Internet Services: E-mail, Telnet, FTP, WWW, HTML, URL.

IT Application in Multimedia: Introduction, Components of multimedia and challenges, Video compression, Video coding technology: JPEG, MPEG, And JBIG.

Introduction to cloud computing: Types, Services, Models, Characteristics, Benefits and Challenges, Application, Limitations.

IT Application in E-Commerce and E-Governance: Introduction, Different Types of E- Commerce with examples, Advantages and disadvantages, E-Commerce in India, E-Services, E-Commerce security, Internet security and ethics, Technology issues, Social issues, Introduction to E-Governance, Challenges, Application, advantages, Case study of MP-online and IRCTC

Social impact of information technology: Introduction, Social Uses of World Wide Web, Social networking Services, Privacy, security and integrity of Information ,Disaster recovery Intellectual property rights, IT Enabled Services and careers, Career in information technology, Case study of NPTEL.

References: V.Rajaraman, Introduction to Information Technology; PHI E Balagurusamy, Fundamentals of Computers, TMH Santiram Kal Basic Electronics, PHI M.N. Rao Cloud Computing, PHI.

ML110 INTRODUCTION TO CIVIL ENGINEERING

COURSE OBJECTIVE: This course introduces students to civil engineering and its sub-domains. Students are expected to learn about scope, current and future trends in infrastructure industry, jobs, innovations & research opportunities in the field of civil engineering. Course content will be covered through lectures, assignments, case-studies, presentations, documentaries and field visits.

COURSE CONTENT:

Overview of Civil Engineering, types of Infrastructures, Effect of infrastructure facilities on economy and environment, Role of Civil Engineers in the infrastructural Development Introduction to sub-domains of Civil Engineering, Size of Infrastructure Industry, emerging trends in infra spending through public and public-private partnership (PPP), talent shortage, and global trends in workforce mobility and skilldemands.

Stages in the life of construction – Design, Construction, Maintenance, Repair, Demolition/Recycling; an overview of Indian Standards, units and conversion factors for Lengths, Areas, Volumes and Weights; Opportunities and challenge of India’s Infrastructure, Interdisciplinary nature of Civil Engineering Projects.

Roads: Types of Roads, Nagpur Road Plan, Components of
Road and their function; Bridges: Important parts of bridges, classification of bridges; Types of Dams.

Properties and classification of common building materials – Stones, Bricks, Sand, Limes, Cement, Mortar, Concrete, Steel.

Overview of Indian Road Congress, National Highway Authority of India (NHAI) and American Society of Civil Engineers (ASCE), Emerging areas and new technologies in the field of civil engineering.

COURSE OUTCOMES After successful completion of course, Students are expected to possess an in-depth understanding and knowledge about the scope, current and future trends in infrastructure industry, elementary terminologies, learning resources and career-opportunities in the field of civil engineering and its allied domains.

EVALUATION Evaluation will be continuous an integral part of the class followed by final examination.

REFERENCES Elements of Civil Engineering by MD Saikia, B Mohan Das, MM Das, PHI Learning Private Limited, 2015 Prakash M.N. Shesha, Ganesh B., A Textbook on Elements of Civil Engineering, PHI Learning Pvt. Ltd. Study material provided by the instructor.

ME112 CONCEPTS IN ENGINEERING DESIGN 

COURSE OBJECTIVE: The primary objective of the course is to introduce concepts in engineering design to students from all the engineering disciplines. This course broadly covers the prerequisites for an innovative design followed by concepts of products design cycle right from planning, designing, manufacturing, distributing and its usage.

COURSE CONTENT:

Introduction to engineering Design process: Its importance, types of designs, various ways to think about design like visualization, photography etc, simplified iteration model, design versus scientific method, a problem solving methodology.

Considerations of a good design Achievement of performance requirements, Total life cycle, Regulatory and social issues in Indian context

Description of Design Process Conceptual Design, Embodiment Design, Detail Design, Planning for Manufacture, Planning for distribution, Planning for Use, Planning for the retirement of the product.

Product Design Cycle, Identification of customer needs and market research essentials, concept generation, technology and market assessment

An exposure to various aspects of design including visual, creative and user-centric design (Visual merchandising, trends, materials, technology and techniques). Evolution in Transportation and Communication Technology, Bullock Cart to Lear Jets, Personal messengers to Cell Phones, Fighter planes

Introduction to any one as a case study:

1. Communication Design
2. Industrial Design
3. IT Integrated Design
4. Textile Design
5. Inter disciplinary Design

COURSE OUTCOMES Student after successful completion of course must possess an understanding of various concepts of design, product design cycle, and significant principles inevitable for design of any engineering product or services.

EVALUATION Evaluation will be continuous an integral part of the class as well through external assessment. REFERENCES George E. Dieter and Linda C. Schmidt, Engineering Design, McGraw Hill Education (India) Pvt. Ltd. Arvid Eide, Introduction to Engineering Design, McGraw Hill. Otto. K and Wood, K, Product Design, Pearson Education.

ME110 INTRODUCTION TO MECHANICAL ENGINEERING 

COURSE OBJECTIVE: This course introduces students to mechanical engineering and its sub-domains. Students are expected to learn about scope, current and future trends, jobs, innovations & research opportunities in the field of mechanical engineering. Course content will be covered through lectures, assignments, case-studies, presentations, documentaries and field visits. COURSE

CONTENT:

What is Engineering, Who are Mechanical Engineers, Overview of Mechanical Engineering, its domains, scope and its utility in different areas; Specializations available with in mechanical Engineering (thermal, production and design) and job opportunities in mechanical Engineering.

Basic definitions of terms related to Thermodynamics, First and Second law of Thermodynamics, Properties of Steam, Introduction to Boilers, Terminology of IC Engines, Two and Four Stroke Petrol and Diesel Cycle.

Introduction to mechanical properties, basic manufacturing processes, pattern, type and its use in metal casting, Introduction of welding, brazing and soldering processes

Case study on any topic from Manufacturing Engineering Magazine Published by Society of Manufacturing Engineers (USA), Machinist Magazine, Technorama published by Institution of Engineers (India) and Manufacturing Today and any other magazine related to mechanical engineering.

Overview of American Society of Heating, Refrigerating and Air-Conditioning Engineers (ASHRAE) Society of Automotive Engineers, American Society of Mechanical Engineers (ASME); Indian Society of Mechanical Engineers (ISME) etc ; Emerging areas and new technologies in the field of mechanical engineering (3D Printing)

COURSE OUTCOMES After successful completion of course, Students are expected to possess basic understanding and knowledge about the scope, current and future trends in mechanical engineering. The versatility of the mechanical engineering branch and career-opportunities in this field will enable the students to explore the new avenues in their future endeavours.

EVALUATION Evaluation will be continuous an integral part of the class followed by final examination.

 REFERENCES Jonathan Wickert, Kemper Lewis, An Introduction to Mechanical Engineering, CENGAGE Learning. Michael Clifford, Kathy Simmons, Philip Shipway, An Introduction to Mechanical Engineering: Part 1 and Part 2, Taylor and Francis.

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