## Available courses

### Building Materials & Construction

Course Outcomes Upon successful completion of this course, students will be able to:

1. Describe the properties & uses of construction material.

2. Explain the building components & methods of construction.

### Transforms, Partial Differential Equations and Numerical Methods

Transforms, Partial Differential Equations and Numerical Methods (3:0:0)

Sub code :MA3C01                     (Civil, Mech & IP branches)

Fourier series of period 2l – continuous and discontinuous functions, even and odd functions, Half range series, Practical harmonic analysis. Solution of homogeneous and non-homogeneous PDE, Solution of homogeneous PDE by direct integration and method of separation of variables. Various possible solutions of one dimensional wave equation and heat equation. Application of PDE – Solution of boundary value problems associated with one dimensional wave equation and heat equation. Infinite Fourier Transforms, Fourier sine and Inverse sine transforms. Numerical solution of a system of linear algebraic equations, Computation of largest Eigen value and the corresponding eigen vector. Numerical solution of algebraic and transcendental equations, Finite differences , Newton’s forward interpolation formula. Interpolation for unequal intervals, applications. Numerical differentiation ,Numerical Integration – Applications.

### Transforms, Partial Differential Equations and Numerical Methods

Transforms, Partial Differential Equations and Numerical Methods (3:0:0)

Sub code :MA3C01                     (Civil, Mech & IP branches)

Fourier series of period 2l – continuous and discontinuous functions, even and odd functions, Half range series, Practical harmonic analysis. Solution of homogeneous and non-homogeneous PDE, Solution of homogeneous PDE by direct integration and method of separation of variables. Various possible solutions of one dimensional wave equation and heat equation. Application of PDE – Solution of boundary value problems associated with one dimensional wave equation and heat equation. Infinite Fourier Transforms, Fourier sine and Inverse sine transforms. Numerical solution of a system of linear algebraic equations, Computation of largest Eigen value and the corresponding eigen vector. Numerical solution of algebraic and transcendental equations, Finite differences , Newton’s forward interpolation formula. Interpolation for unequal intervals, applications. Numerical differentiation ,Numerical Integration – Applications.

### Applied Mathematics – II

APPLIED MATHEMATICS – II (3:0:0)

Sub Code : MA5CL1         (FOR DIPLOMA STUDENTS OF V SEMESTER)

Numerical solutions of first order and first degree ordinary differential equations. Analytic function, Cauchy - Riemann equations, properties of analytic functions. Construction of analytic functions. Application to flow problems. Conformal mapping. Bilinear transformations. Curve fitting by the method of least squares. Correlation and Regression. Random variables: Discrete and Continuous Probability Distributions, Joint Probability Distribution(Discrete), Markov chains.

### Glass in Buildings

The field of Building Envelope Design & Construction has become a specialized field with several codes emphasizing energy efficiency to buildings both on mandatory and voluntary basis. Glass is one of the energy efficient materials that lend aesthetic and functional value to a building. Glass being extensively used in buildings, whereas the fields aligning including the right selection, analysis, design including facade design and consulting is tremendously facing lack of knowledge and competent professionals across the country.This course on 'Glass in Buildings: Design and Applications' will holistically cover the critical aspects of glass facade engineering and glass architecture & design

### Applied Mathematics – II

APPLIED MATHEMATICS – II (3:0:0)

Sub Code : MA5CL1         (FOR DIPLOMA STUDENTS OF V SEMESTER)

Numerical solutions of first order and first degree ordinary differential equations. Analytic function, Cauchy - Riemann equations, properties of analytic functions. Construction of analytic functions. Application to flow problems. Conformal mapping. Bilinear transformations. Curve fitting by the method of least squares. Correlation and Regression. Random variables: Discrete and Continuous Probability Distributions, Joint Probability Distribution(Discrete), Markov chains.

### Computer Organization and Architecture

Computer systems organization, Primary Memory, Secondary Memory, Memory, Memory chips, CPU Chips, Buses, The Microarchitecture level, data path, mic-1, micro instruction sets, example implementations, Microinstruction control, Design Of The Microarchitecture Level, Mic-2, Improving Performance, The instruction set architecture level, Addressing modes

### Data Structures

Pointers and Structures, Introduction to Data Structures, Abstract data types, Linked list: Linear, Circular, Doubly linked lists, Stacks, Stacks using arrays and linked lists, Applications of linked stack, Queues, Circular queues, Priority queues, Trees: Traversal, Threaded binary trees, Tree applications, AVL Tree, Various sorting and searching algorithms, Hashing, Hash table,
Collision, Collision resolution.

### Digital Electronics

Boolean Algebra, Simplification of Boolean Functions, Combinational Logic, Combinational Logic With MSI And LSI, Sequential Logic, Registers, Counters

### Discrete Mathematical Structures

Cartesian Products and Relations, Functions –Plain and One-to-One, Onto Functions, The Pigeonhole Principle Function Composition and Inverse Functions. Properties of Relations, Computer Recognition – Zero-One Matrices and Directed Graphs, Partial Orders – Hasse Diagrams. Recurrence relations, Homogenous Recurrence Relations, Non Homogenous
Recurrence Relations, Graph Theory and Applications: Definitions and Examples, Sub graphs, Complements, and Graph Isomorphism, Vertex Degree, Euler Trails and Circuits, Planar Graphs, Hamilton Paths and Cycles, Graph Coloring, and Chromatic Polynomials. Trees: Definitions, Properties, and Examples, Routed Trees, Trees and Sorting, Weighted Trees and Prefix Codes.

### Unix and Shell Programming

Background and Basic Commands, File Systems, Security and File Permission, Administration Commands, Introduction to Shell, Filters, Communications, Regular Expressions and grep, awk, SHELL Scripting, Advanced Programming.

### Basic Mathematics (only for lateral entry)

Introduction to some standard curves. Basic concepts of differentiation. Expansion of functions – Taylor’s and Maclaurin’s expansion of a function of one variable. Partial differentiation. Measures of central tendency, measures of dispersion. Mean deviation and Standard deviation. Simple application problems. Evaluation of definite integrals, Evaluation of double integrals. Beta and Gamma functions. Fourier series of period 2π, Practical harmonic analysis of period 2π. Solution of first order and first degree differential equations. Solution of higher order nonhomogeneous differential equations.

### Constitution of India and Professional Ethics

Preamble to the Constitution of India. Fundamental rights under Part III details of Exercise of Rights, Limitations and Important Leading cases. Relevance of Directive Principles of State Policy under Part-IV, IVA Fundamental duties. Union Executive - President, Vice-President, Prime Minister, Union Legislature - Parliament and Union Judiciary – Supreme Court of India.
State Executive - Governors, Chief Minister, State Legislature and High Court. Special Constitutional Provisions for Scheduled Casters and Tribes, Women and Children and Backward Classes, Emergency Provisions..Electoral process, Amendment procedure, 42nd, 44th, 74th, 76th, 86th and 91st Constitutional amendments. Scope and aims of engineering ethics, responsibility of Engineers. Impediments to responsibility. Honesty, Integrity and reliability, risks, safety and liability in Engineering.

### Data Structures Laboratory

Students have to implement lab programs based on the following topics: Advanced used of pointers, Implementation and application of data structures: Stacks, Queues, Linked lists, Binary Trees.

### Digital Electronics Laboratory

Analyzing the working of Basic Gates, adders and subtractors. Design of Combinational circuits using Multiplexer and Decoder, Design of Sequential circuits using flip-flops, Simulate the above mentioned problems using simulation package Multisim and VHDL.

### Transforms, Numerical Methods and Number Theory

Fourier series of period 2l – continuous and discontinuous functions, even and odd functions, Half range series, Practical harmonic analysis. Infinite Fourier Transforms, Fourier sine and cosine transforms, Inverse sine Transforms. Numerical solution of a system of linear algebraic equations. Computation of largest eigen value and the corresponding eigen vector, Numerical
solution of algebraic and transcendental equations, Finite differences, Newton's forward interpolation formula. Interpolation for unequal intervals. Numerical differentiation. Numerical Integration. Applications. Euclidean Algorithm, Chinese Remainder theorem, Fermat's little theorem, Wilson's theorem, Euler's theorem (no proof), Pseudo primes, Fermat's pseudo primes.

### Data Structures

Pointers and Structures, Introduction to Data Structures, Abstract data types, Linked list: Linear, Circular, Doubly linked lists, Stacks, Stacks using arrays and linked lists, Applications of linked stack, Queues, Circular queues, Priority queues, Trees: Traversal, Threaded binary trees, Tree applications, AVL Tree, Various sorting and searching algorithms, Hashing, Hash table,
Collision, Collision resolution.

### Basic Mathematics (Only for lateral entry)

Introduction to some standard curves. Basic concepts of differentiation. Expansion of functions –Taylor’s and Maclaurin’s expansion of a function of one variable. Partial differentiation. Measures of central tendency, measures of dispersion. Mean deviation and Standard deviation. Simple application problems. Evaluation of definite integrals, Evaluation of double integrals. Beta and Gamma functions. Fourier series of period 2π, Practical harmonic analysis of period 2π. Solution of first order and first degree differential equations. Solution of higher order nonhomogeneous differential equations.

### Computer Organization and Architecture

Computer systems organization, Primary Memory, Secondary Memory, Memory, Memory chips, CPU Chips, Buses, The Microarchitecture level, data path, mic-1, micro instruction sets, example implementations, Microinstruction control, Design Of The Microarchitecture Level, Mic-2, Improving Performance, The instruction set architecture level, Addressing modes.

### Constitution of India and Professional Ethics

Preamble to the Constitution of India. Fundamental rights under Part III details of Exercise of Rights, Limitations and Important Leading cases. Relevance of Directive Principles of State Policy under Part-IV, IVA Fundamental duties. Union Executive - President, Vice-President, Prime Minister, Union Legislature - Parliament and Union Judiciary – Supreme Court of India.
State Executive - Governors, Chief Minister, State Legislature and High Court. Special Constitutional Provisions for Scheduled Casters and Tribes, Women and Children and Backward Classes, Emergency Provisions..Electoral process, Amendment procedure, 42nd, 44th, 74th, 76th, 86th and 91st Constitutional amendments. Scope and aims of engineering ethics, responsibility of Engineers. Impediments to responsibility. Honesty, Integrity and reliability, risks, safety and liability in Engineering.

### Data Structures Laboratory

Students have to implement lab programs based on the following topics: Advanced used of pointers, Implementation and application of data structures: Stacks, Queues, Linked lists, Binary Trees.

### Digital Electronics

Boolean Algebra, Simplification of Boolean Functions, Combinational Logic, Combinational Logic With MSI And LSI, Sequential Logic, Registers, Counters

### Digital Electronics Laboratory

Analyzing the working of Basic Gates, adders and subtractors. Design of Combinational circuits using Multiplexer and Decoder, Design of Sequential circuits using flip-flops, Simulate the above mentioned problems using simulation package Multisim and VHDL.

### Discrete Mathematical Structures

Cartesian Products and Relations, Functions –Plain and One-to-One, Onto Functions, The Pigeonhole Principle Function Composition and Inverse Functions. Properties of Relations, Computer Recognition – Zero-One Matrices and Directed Graphs, Partial Orders – Hasse Diagrams. Recurrence relations, Homogenous Recurrence Relations, Non Homogenous
Recurrence Relations, Graph Theory and Applications: Definitions and Examples, Sub graphs, Complements, and Graph Isomorphism, Vertex Degree, Euler Trails and Circuits, Planar Graphs, Hamilton Paths and Cycles, Graph Coloring, and Chromatic Polynomials. Trees: Definitions, Properties, and Examples, Routed Trees, Trees and Sorting, Weighted Trees and Prefix Codes.

### Transforms, Numerical Methods and Number Theory

Fourier series of period 2l – continuous and discontinuous functions, even and odd functions, Half range series, Practical harmonic analysis. Infinite Fourier Transforms, Fourier sine and cosine transforms, Inverse sine Transforms. Numerical solution of a system of linear algebraic equations. Computation of largest eigen value and the corresponding eigen vector, Numerical solution of algebraic and transcendental equations, Finite differences, Newton's forward interpolation formula. Interpolation for unequal intervals. Numerical differentiation. Numerical Integration. Applications. Euclidean Algorithm, Chinese Remainder theorem, Fermat's little theorem, Wilson's theorem, Euler's theorem (no proof), Pseudo primes, Fermat's pseudo primes

### Unix and Shell Programming

Background and Basic Commands, File Systems, Security and File Permission, Administration Commands, Introduction to Shell, Filters, Communications, Regular Expressions and grep, awk, SHELL Scripting, Advanced Programming.

### Applied Mathematics – II

APPLIED MATHEMATICS – II (3:0:0)

Sub Code : MA5CL1         (FOR DIPLOMA STUDENTS OF V SEMESTER)

Numerical solutions of first order and first degree ordinary differential equations. Analytic function, Cauchy - Riemann equations, properties of analytic functions. Construction of analytic functions. Application to flow problems. Conformal mapping. Bilinear transformations. Curve fitting by the method of least squares. Correlation and Regression. Random variables: Discrete and Continuous Probability Distributions, Joint Probability Distribution(Discrete), Markov chains.

### Database Laboratory

Create a database, use a database, create a table, insert data in the table, Retrieve selected data based on condition, Update table data, Alter Table, Delete Table, Applying constraints on table, Joins, Aggregate Functions, Entity-Relationship diagrams, database technology, its importance, its architectures, Identify appropriate development methodologies of data analysis, design, use appropriate modeling techniques for databases, formulate queries and manipulate the database,
Analyze the issues underlying database implementation, Apply the methodology for good database design, implementing standalone database system.

### Database Management Systems

Introduction to Database and DBMS, Three-schema architecture and Data independence, The Everest Books Database, Relational Databases, Manipulating the Database, Relational Algebra, The Entity-Relationship Model, Notations, Modeling Everest Books' Database, Functional Dependencies and Normal Forms, SQL, Transactions, Constraints, Triggers, Indexes, Views and its implementation, Spatial Databases, Logs and Recovery.

### Engineering Management

Understand Scientific Management, Types of Ownership, Introduction to Entrepreneurship with challenges, kinds of Entrepreneurs and Barriers. Examine different management functions, Planning, Staffing, Organizing, Directing and Controlling. Human resource management including functions, development including training and performance approval. Analyze human behavior in organizations including, Motivation, Perception, Leadership and Negotiation. Marketing Management including 5P's of Marketing, Develop Product life cycle and market strategy. Understand Quality Management including contribution of Quality gurus and analyze 7 QC tools. Financial Management including understanding of financial statements, Working Capital and International Finance. Understanding of Project Management including, Phases, WBS, Stakeholders and evaluation of alternatives.

### Microprocessor and Interfacing

The Microprocessor and its Architecture, Addressing modes, Data transfer instructions, Arithmetic Instructions, Logic Instructions, Shift and Rotate, Program Control Instructions,  Basic 8086/8088 configurations , System Bus Timing,8088 and 8086 Memory Interface I/O Interface

### Microprocessor and Interfacing Laboratory

Assembly language program Of 8086 microprocessor for linear search, Display of ASCII code of input key, Use of macros, strings, BCD up down counter, Display of system time, interfacing applications for Elevator, Stepper motor, Keypad, Logic controller, and Display Interfaces

### Operating Systems

Introduction, processes and Threads; Processes and Threads scheduling,interprocess communication; classical IPC problems, memory management; page replacement algorithms and design issues swapping; virtual memory; TLB, page replacement algorithms; modeling page replacement algorithms, design issues for paging systems, implementation issues; Segmentation. Deadlocks; introduction to deadlocks; deadlock detection and recovery, deadlock avoidance and deadlock prevention

### System Software

Introduction, Machine Architecture, Assemblers- Basic Assembler Function, Machine Dependent Assembler Features, Machine Independent Assembler Features, Assemblers Design Options, Loaders and Linkers- Basic loader functions, Machine dependent Loader Features, Loader Design Options, LEX and YACC.

### Applied Mathematics – II

APPLIED MATHEMATICS – II (3:0:0)

Sub Code : MA5CL1         (FOR DIPLOMA STUDENTS OF V SEMESTER)

Numerical solutions of first order and first degree ordinary differential equations. Analytic function, Cauchy - Riemann equations, properties of analytic functions. Construction of analytic functions. Application to flow problems. Conformal mapping. Bilinear transformations. Curve fitting by the method of least squares. Correlation and Regression. Random variables: Discrete and Continuous Probability Distributions, Joint Probability Distribution(Discrete), Markov chains.

### Database Laboratory

Create a database, use a database, create a table, insert data in the table, Retrieve selected data based on condition, Update table data, Alter Table, Delete Table, Applying constraints on table, Joins, Aggregate Functions, Entity-Relationship diagrams, database technology, its importance, its architectures, Identify appropriate development methodologies of data analysis, design, use appropriate modeling techniques for databases, formulate queries and manipulate the database,
Analyze the issues underlying database implementation, Apply the methodology for good database design, implementing standalone database system.

### Database Management Systems

Introduction to Database and DBMS, Three-schema architecture and Data independence, The Everest Books Database, Relational Databases, Manipulating the Database, Relational Algebra, The Entity-Relationship Model, Notations, Modeling Everest Books' Database, Functional Dependencies and Normal Forms, SQL, Transactions, Constraints, Triggers, Indexes, Views and its implementation, Spatial Databases, Logs and Recovery.

### Engineering Management

Understand Scientific Management, Types of Ownership, Introduction to Entrepreneurship with challenges, kinds of Entrepreneurs and Barriers. Examine different management functions, Planning, Staffing, Organizing, Directing and Controlling. Human resource management including functions, development including training and performance approval. Analyze human behavior in organizations including, Motivation, Perception, Leadership and Negotiation. Marketing Management including 5P's of Marketing, Develop Product life cycle and market strategy. Understand Quality Management including contribution of Quality gurus and analyze 7 QC tools. Financial Management including understanding of financial statements, Working Capital and International Finance. Understanding of Project Management including, Phases, WBS, Stakeholders and evaluation of alternatives.

### Introduction to Internet of Things (MOOC)

Basics of IoT and Communication protocols used for connectivity, Machine-to-Machine communications and interoperability in IoT, simple IoT applications in Python,  relevance of SDN and cloud computing in IoT, applications of IoT in various fields.

### Microprocessor and Interfacing

The Microprocessor and its Architecture, Addressing modes, Data transfer instructions, Arithmetic Instructions, Logic Instructions, Shift and Rotate, Program Control Instructions, Basic 8086/8088 configurations , System Bus Timing,8088 and 8086 Memory Interface I/O Interface

### Microprocessor and Interfacing Laboratory

Assembly language program Of 8086 microprocessor for linear search, Display of ASCII code of input key, Use of macros, strings, BCD up down counter, Display of system time, interfacing applications for Elevator, Stepper motor, Keypad, Logic controller, and Display Interfaces

### Operating Systems

Introduction, processes and Threads; Processes and Threads scheduling,interprocess communication; classical IPC problems, memory management; page replacement algorithms and design issues swapping; virtual memory; TLB, page replacement algorithms; modeling page replacement algorithms, design issues for paging systems, implementation issues; Segmentation.

### System Software

Introduction, Machine Architecture, Assemblers- Basic Assembler Function, Machine Dependent Assembler Features, Machine Independent Assembler Features, Assemblers Design Options, Loaders and Linkers- Basic loader functions, Machine dependent Loader Features, Loader Design Options, LEX and YACC.

### Cryptography and Network Security

Introduction to Symmetric-Key Encipherment, Mathematics of cryptography, Advanced Encryption Standard (AES), Asymmetric-Key Cryptography, Message Integrity and Message Authentication Entity Authentication.

### Distributed Operating System

Introduction to distributed systems, Bus-based, switched multi-processors and multi-computers. Clock synchronization, Mutual exclusion, A centralized algorithm, A distributed algorithm, A token ring algorithm. Synchronization in distributed systems-II, Election algorithms, Atomic transactions, Processes and processors in distributed systems, Threads, Distributed file system design, Distributed file system implementation, Distributed shared memory, Shared variable distributed shared memory.

### Parallel Processing Architecture and Algorithms

Pipelined Data Paths Pipelining Concepts, Introduction to Parallelism, Types of Parallelism, Simple Computations, Simple architectures, Parallel Algorithm Complexity: Programming Paradigms, Solving Recurrences, Models of Parallel Processing, RAM and Basic Algorithms, More Shared-Memory Algorithms: Sorting and Selection Networks. Other Circuit-Level Examples

### Project Phase – I

In the first phase of the project work-I, students are expected to identify a real world engineering problem, formulate the problem, Outline a software project plan, check the feasibility of the solution, Carry out extensive literature survey. In the second phase of the project work – I the students will evaluate the available tools, develop a suitable design .Here the students are going to work in a batch limited to maximum of 4 students.

### Cryptography and Network Security

Introduction to Symmetric-Key Encipherment, Mathematics of cryptography, Advanced Encryption Standard (AES), Asymmetric-Key Cryptography, Message Integrity and Message Authentication Entity Authentication.

### Distributed Operating System

Introduction to distributed systems, Bus-based, switched multi-processors and multi-computers. Clock synchronization, Mutual exclusion, A centralized algorithm, A distributed algorithm, A token ring algorithm. Synchronization in distributed systems-II, Election algorithms, Atomic transactions, Processes and processors in distributed systems, Threads, Distributed file system design, Distributed file system implementation, Distributed shared memory, Shared variable distributed shared memory.

### Parallel Processing Architecture and Algorithms

Pipelined Data Paths Pipelining Concepts, Introduction to Parallelism, Types of Parallelism, Simple Computations, Simple architectures, Parallel Algorithm Complexity: Programming Paradigms, Solving Recurrences, Models of Parallel Processing, RAM and Basic Algorithms, More Shared-Memory Algorithms: Sorting and Selection Networks. Other Circuit-Level Examples

### Project Phase – I

In the first phase of the project work-I, students are expected to identify a real world engineering problem, formulate the problem, Outline a software project plan, check the feasibility of the solution, Carry out extensive literature survey. In the second phase of the project work – I the students will evaluate the available tools, develop a suitable design .Here the students are going to work in a batch limited to maximum of 4 students.

### Cyber Security

1. Introduce the student to the area of cybercrime and forensics.

2. Understand the motive and causes for cybercrime, detection and handling.

3. Areas affected by cybercrime and investigation.

4. Tools used in cyber forensic

5. Have knowledge of Legal Perspectives in cyber security

### Transforms, Partial Differential Equations and Numerical Methods

Transforms, Partial Differential Equations and Numerical Methods (3:0:0)

Sub code :MA3C02                          (EE and EC branches)

Fourier series of period 2l – continuous and discontinuous functions, even and odd functions, Half range series, Practical harmonic analysis. Solution of homogeneous and non-homogeneous PDE, Solution of homogeneous PDE by direct integration and method of separation of variables. Various possible solutions of one dimensional wave equation and heat equation. Numerical solution of a system of linear algebraic equations. Computation of largest eigen value and the corresponding eigen vector, Numerical solution of algebraic and transcendental equations, Finite differences, Newton’s forward interpolation formula. Interpolation for unequal intervals. Numerical differentiation. Numerical Integration. Applications. Z-transforms-properties. Inverse Z-transforms. Application of  Z - transforms to solve difference equations.

### Transforms, Partial Differential Equations and Numerical Methods

Transforms, Partial Differential Equations and Numerical Methods (3:0:0)

Sub code :MA3C02                          (EE and EC branches)

Fourier series of period 2l – continuous and discontinuous functions, even and odd functions, Half range series, Practical harmonic analysis. Solution of homogeneous and non-homogeneous PDE, Solution of homogeneous PDE by direct integration and method of separation of variables. Various possible solutions of one dimensional wave equation and heat equation. Numerical solution of a system of linear algebraic equations. Computation of largest eigen value and the corresponding eigen vector, Numerical solution of algebraic and transcendental equations, Finite differences, Newton’s forward interpolation formula. Interpolation for unequal intervals. Numerical differentiation. Numerical Integration. Applications. Z-transforms-properties. Inverse Z-transforms. Application of  Z - transforms to solve difference equations.

### Applied Mathematics – II

APPLIED MATHEMATICS – II (3:0:0)

Sub Code : MA5CL1         (FOR DIPLOMA STUDENTS OF V SEMESTER)

Numerical solutions of first order and first degree ordinary differential equations. Analytic function, Cauchy - Riemann equations, properties of analytic functions. Construction of analytic functions. Application to flow problems. Conformal mapping. Bilinear transformations. Curve fitting by the method of least squares. Correlation and Regression. Random variables: Discrete and Continuous Probability Distributions, Joint Probability Distribution(Discrete), Markov chains.

### Applied Mathematics – II

APPLIED MATHEMATICS – II (3:0:0)

Sub Code : MA5CL1         (FOR DIPLOMA STUDENTS OF V SEMESTER)

Numerical solutions of first order and first degree ordinary differential equations. Analytic function, Cauchy - Riemann equations, properties of analytic functions. Construction of analytic functions. Application to flow problems. Conformal mapping. Bilinear transformations. Curve fitting by the method of least squares. Correlation and Regression. Random variables: Discrete and Continuous Probability Distributions, Joint Probability Distribution(Discrete), Markov chains.

### Transforms, Partial Differential Equations and Numerical Methods

Transforms, Partial Differential Equations and Numerical Methods (3:0:0)

Sub code :MA3C02                          (EE and EC branches)

Fourier series of period 2l – continuous and discontinuous functions, even and odd functions, Half range series, Practical harmonic analysis. Solution of homogeneous and non-homogeneous PDE, Solution of homogeneous PDE by direct integration and method of separation of variables. Various possible solutions of one dimensional wave equation and heat equation. Numerical solution of a system of linear algebraic equations. Computation of largest eigen value and the corresponding eigen vector, Numerical solution of algebraic and transcendental equations, Finite differences, Newton’s forward interpolation formula. Interpolation for unequal intervals. Numerical differentiation. Numerical Integration. Applications. Z-transforms-properties. Inverse Z-transforms. Application of  Z - transforms to solve difference equations.

### Transforms, Partial Differential Equations and Numerical Methods

Transforms, Partial Differential Equations and Numerical Methods (3:0:0)

Sub code :MA3C02                          (EE and EC branches)

Fourier series of period 2l – continuous and discontinuous functions, even and odd functions, Half range series, Practical harmonic analysis. Solution of homogeneous and non-homogeneous PDE, Solution of homogeneous PDE by direct integration and method of separation of variables. Various possible solutions of one dimensional wave equation and heat equation. Numerical solution of a system of linear algebraic equations. Computation of largest eigen value and the corresponding eigen vector, Numerical solution of algebraic and transcendental equations, Finite differences, Newton’s forward interpolation formula. Interpolation for unequal intervals. Numerical differentiation. Numerical Integration. Applications. Z-transforms-properties. Inverse Z-transforms. Application of  Z - transforms to solve difference equations.