Applied Mathematics III  
Complex Variable & mapping 1.1 Functions of a complex variable, Analytic functions, CauchyRiemann equations in Cartesian coordinates, Polar coordinates. 1.2 Harmonic functions, Analytic method and Milne Thomson methods to find f(z), Orthogonal trajectories. 1.3 Conformal Mapping, Linear, Bilinear transformations, Cross ratio, fixed points and standard transformation such as rotation and magnification, invertion, translation. 

Laplace Transform 2.1 Introduction, Definition of Laplace transform, Laplace transform of constant, trigonometrical, exponential functions. 2.2 Important properties of Laplace transform: First shifting theorem, Laplace transform of L{tn f(t)}, L{ f(t)/t}, , , L{f(at)} without proof. 2.2Unit step function, Heavi side function, Diracdelta function, Periodic function and their Laplace transforms, Second shifting theorem. 2.3Inverse Laplace transform with Partial fraction and Convolution theorem (without proof). 2.4 Application to solve initial and boundary value problem involving ordinary differential equations with one dependent variable and constant coefficients. 

Fourier series 3.1 Dirichlet’s conditions, Fourier series of periodic functions with period 2? and 2L. 3.2 Fourier series for even and odd functions. 3.3 Half range sine and cosine Fourier series, Parsevel’s identities (without proof). 3.4Orthogonal and Orthonormal functions, Complex form of Fourier series. 3.5 Fourier Integral Representation. 

Vector Algebra and Calculus 4.1 Vector Algebra: Scalar and vector product of three and four Vectors and their properties. 4.2 Vector Calculus: Vector differential operator ?, Gradient of a scalar point function, Diversions and Curl of Vector point function, ? (u v), 4.3 Vector Integration: Line integral; conservative vector field,Green’s theorem in a plane (Without proof) 4.4 GaussDivergence theorem & Stokes’ theorem (Without proof and no problemson above verifications 

Z transform 5.1 Ztransform of standard functions such as Z(an), Z(np). 5.2 Properties of Ztransform :Linearity, Change of scale, Shifting property, Multiplication of K, Initial and final value, Convolution theorem (all without proof) 5.3 Inverse Z transform: Binomial Expansion and Method of Partial fraction. 

Term work: Term work shall consist of minimum four SCILAB practicals and six tutorials. SCILAB practicals : 10 marks Tutorials : 10 marks Attendance : 05 marks Total : 25 marks 

Text Books: • Higher Engineering Mathematics by Grewal B. S. 38th edition, Khanna Publication 2005. • Advanced Engineering Mathematics by Kreyszig E. 9th edition, John Wiley. • A Text Book of Applied Mathematics Vol. I & II by P.N.Wartilar & J.N.Wartikar, Pune, Vidyarthi Griha Prakashan., Pune. • Discrete and Combinational Mathematics by Ralph P. Crimaldi, B Y Ramana. 

Theory Examination: 1. Question paper will comprise of total 6 questions, each of 20 Marks. 2. Only 4 questions need to be solved. 3. Question 1 will be compulsory and based on maximum part of the syllabus. 4. Remaining questions will be mixed in nature (for example suppose Q.2 has part (a) from module 3 then part (b) will be from any module other than module 3) In question paper, weightage of each module will be proportional to number of respective lecture hours as mentioned in the syllabus. 
Object Oriented Programming Methodology (OOPM)*  
Programming Approach from proceduaral to Object Orientation OO methodologies: Grady Booch Methodology of OO developmentOO Concepts: Object, Class, Encapsulation or information hiding, Inheritance, Polymorphism, Message communication, Abstraction, Reuse, Coupling and Cohesion, Sufficiency Completeness and Primitiveness, Meta Class 

Object Oriented Programming: Java Evolution: History, How java differs from others Overview of Java language: Introduction, Installing and implementing Java, JVMConstants, variables and data types Operators and Expressions Revision of Branching and loopingClass Object and Method: member, method, Modifier, Selector, constructer, destructor, iterator, State of an object, Method Overloading, Inheritance, Method Overriding ,Final class, abstract class and method 

Classes and Relationships : Implementation of Association and Aggegation using simple scenariosArray, String, Vector Interfaces : variables in Interfaces, Extending an Interface, Difference between an Abstarct class and an InterfaceMultithread programming 

Grouping of classes for deployment and reuse: Builtin Packages: java.lang: wrapper classes java.util: ArrayList and LinkedList Creating and using User defined packagesManaging Error and Exception Applet programming 

TermWork: Students will submit Term Work in the form of a journal that will include at least 15 programming assignments. Each programming assignment will consist of an algorithm or class diagram/sequence diagram (if applicable), program listing with proper documentation and snapshot of the output. Practical Examination will be based on the term work and questions will be asked to judge understanding of the assignments at the time of the examination. The final certification and acceptance of term work ensures that satisfactory performance of laboratory work and minimum passing marks in term work. Term Work: 25 Marks ( total marks ) = 15 Marks ( Experiment ) + 5 Marks ( Assignment ) + 5 (Attendance (theory+practical)) Practical Exam will based on above syllabus 

Theory Examination: 1. Question paper will comprise of total 6 questions, each of 20 Marks. 2. Only 4 questions need to be solved. 3. Question 1 will be compulsory and based on maximum part of the syllabus. 4. Remaining questions will be mixed in nature (for example suppose Q.2 has part (a) from module 3 then part (b) will be from any module other than module 3) In question paper, weightage of each module will be proportional to number of respective lecture hours as mentioned in the syllabus. 

Text Books: 1. Ralph Bravaco , Shai Simoson , “Java Programing From the Group Up” ,Tata McGrawHill 2. Grady Booch, Object Oriented Analysis and Design ; 3. Jaime Nino, Frederick A. Hosch, ‘An introduction to Programming and Object Oriented Design using Java’, Wiley Student Edition. 
Data Structures (DS)  
Introduction to Data Structure Types of Data Structure, Arrays, Strings, Recursion, ADT (Abstract Data type),Concept of Files,Operations with files, types of filesLinear Data StructureLinked List Linked List as an ADT, Linked List Vs. Arrays, Memory Allocation & Deallocation for a Linked List, Linked List operations, Types of Linked List, Implementation of Linked List, Application of Linked Listpolynomial, sparse matrix. 

STACK The Stack as an ADT, Stack operation, Array Representation of Stack, Link Representation of Stack, Application of stack – Recursion, Polish NotationQueues The Queue as an ADT, Queue operation, Array Representation of Queue, Linked Representation of Queue, Circular Queue, Priority Queue, & Dequeue, Application of Queues – Johnsons Algorithm, Simulation 

Trees Basic trees concept, Binary tree representation,Binary tree operation, Binary tree traversal, Binary search tree implementation, Thread Binary tree, The Huffman Algorithm, Expression tree, Introduction to Multiway search tree and its creation(AVL, Btree, B+ tree)Graphs Basic concepts, Graph Representation, Graph traversal (DFS & BFS) 

Sorting : Sort Concept, Shell Sort, Radix sort, Insertion Sort, Quick Sort, Merge Sort,Heap Sort, Searching : List Search,Linear Index Search, Index Sequential Search Hashed List Search, Hashing Methods , Collision Resolution 

Text Books: 1. Data Structures A Psedocode Approach with C, Richard F. Gilberg & Behrouz A. Forouzan, second edition, CENGAGE Learning. 2. Data Structures using C, Reema Thareja, Oxford University press. 3. Introduction to Data Structure and its Applications JeanPaul Tremblay, P. G. Sorenson 

Termwork: Term work should consist of at least 12 experiments. Journal must include at least 2 assignments. The final certification and acceptance of term work ensures that satisfactory performance of laboratory work and minimum passing marks in term work. Term Work: 25 Marks ( total marks ) = 15 Marks ( Experiment ) + 5 Marks ( Assignment ) + 5 (Attendance (theory+practical)) Practical exam will be based on the above syllabus. 

Theory Examination: 1. Question paper will comprise of total 6 questions, each of 20 Marks. 2. Only 4 questions need to be solved. 3. Question 1 will be compulsory and based on maximum part of the syllabus. 4. Remaining questions will be mixed in nature (for example suppose Q.2 has part (a) from module 3 then part (b) will be from any module other than module 3) In question paper, weightage of each module will be proportional to number of respective lecture hours as mentioned in the syllabus. 
Digital Logic Design and Analysis 
Number Systems and Codes: Revision of Binary, Octal, Decimal and Hexadecimal number Systems and their conversion, Binary Addition and Subtraction (1’s and 2’s complement method), Gray Code, BCD Code, Excess3 code, ASCII Code, Error Detection and Correction Codes. 
Boolean Algebra and Logic Gates: Theorems and Properties of Boolean Algebra, Standard SOP and POS form, Reduction of Boolean functions using Algebric method, K map method (2,3,4 Variable), and Quine McClusky Method. NANDNOR Realization. Basic Digital Circuits: NOT,AND,OR,NAND,NOR,EXOR,EXNOR Gates, Logic Families: Terminologies like Propagation Delay, Power Consumption, Fan in and Fan out etc. with respect to TTL and CMOS Logic and comparison 
Combinational Logic Design: Introduction, Half and Full Adder, Half and Full Subtractor, Four Bit Binary Adder, one digit BCD Adder, Four Bit Binary Subtractor ( 1’s and 2’s compliment method), code conversion, Multiplexers and Demultiplexers, Decoders, One bit, Two bit ,4bit Magnitude Comparator . 4 Sequential Logic Design: Concept of Multivibrators: Astable, 
Functional Simulation , Timing Simulation, Logic synthesis, Introduction to VHDL, Framework of VHDL program( Syntax and programming to be done only during Practicals), Introduction to CPLD and FPGA 
Text Books: 1. R. P. Jain, “Modern Digital Electronics”, Tata McGraw Hill. 2. Yarbrough John M. , “Digital Logic Applications and Design “, Cengage Learning 3. J. Bhasker.“ VHDL Primer”, Pearson Education 
Termwork: Term work should consist of at least 12 experiments out of which at least 2 to be VHDL based. Journal must include at least 2 assignments. The final certification and acceptance of term work ensures that satisfactory performance of laboratory work and minimum passing marks in term work. Term Work: 25 Marks ( total marks ) = 15 Marks ( Experiment ) + 05 Marks (Assignment ) + 05 (Attendance (theory+practical)) 
Theory Examination: 1. Question paper will comprise of total 6 questions, each of 20 Marks. 2. Only 4 questions need to be solved. 3. Question 1 will be compulsory and based on maximum part of the syllabus. 4. Remaining questions will be mixed in nature (for example suppose Q.2 has part (a) from module 3 then part (b) will be from any module other than module 3) In question paper, weightage of each module will be proportional to number of respective lecture hours as mentioned in the syllabus. 
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