This course is to help students learn, understand, and practice data analytics from the chosen domain. The better understanding of Data, Relations, Preprocessing, Visualization, Correlation, Regression and Clustering plays an important role to find a formidable answer for any kind of applications.

Data Analysis, Data Mining and Knowledge Discovery. 

The Iris Data Set - Data Scales - Set and Matrix representations - Relations - Dissmilarity measures - Similarity measures - Sequence Relations - Sampling and Quantization.

Data Analysis, Data Mining and Knowledge Discovery. 

The Iris Data Set - Data Scales - Set and Matrix representations - Relations - Dissmilarity measures - Similarity measures - Sequence Relations - Sampling and Quantization.

Diagrams - Principal Component Analysis - Multidimensional Scaling - Associator - Histograms.

Error types - Error Handling - Filtering - Data Transformation - Data Integration.

Diagrams - Principal Component Analysis - Multidimensional Scaling - Associator - Histograms.

Error types - Error Handling - Filtering - Data Transformation - Data Integration.

Linear Correlation - Correlation and Causality - Chi-square Test for Independence.

Linear Regression - Linear Regression with Nonlinear Substitution - Robust Regression - Neural Networks - Radial Basis Function Networks - Cross-Validation - Feature Selection.

Linear Correlation - Correlation and Causality - Chi-square Test for Independence.

Linear Regression - Linear Regression with Nonlinear Substitution - Robust Regression - Neural Networks - Radial Basis Function Networks - Cross-Validation - Feature Selection.

Finite State Machines - Recurrent Models - Autoregressive Models.

Classification criteria - Naive Bayes Classifier - Linear Discriminant Analysis - Support Vector Machine - Nearest Neighbor Classifier - Decision Trees.

Finite State Machines - Recurrent Models - Autoregressive Models.

Classification criteria - Naive Bayes Classifier - Linear Discriminant Analysis - Support Vector Machine - Nearest Neighbor Classifier - Decision Trees.

Cluster Partitions - K-Means Clustering - Hierarchy Clustering - Prototype-Based Clustering - Fuzzy Clustering - Relational Clustering - Cluster Tendency Assessment - Cluster Validity - Self-Organizing Map.

Optimization with Derivatives - Gradient Descent.

Cluster Partitions - K-Means Clustering - Hierarchy Clustering - Prototype-Based Clustering - Fuzzy Clustering - Relational Clustering - Cluster Tendency Assessment - Cluster Validity - Self-Organizing Map.

Optimization with Derivatives - Gradient Descent.

ESE - 50%

To explore students to the world of interconnected devices, communication among these connected devices, transfer of data and further analysis of this data to make appropriate decisions

Introduction, Definition and Characteristics of IoT, Physical Design  of  IoT,  Things in IoT, IoT Protocols, Logical Design of IoT, IoT Functional Blocks,  IoT Communication Models,  IoT Communications APIs, IoT Enabling Technologies, Wireless Sensor Networks, Cloud Computing, Big Data Analytics, Communication Protocols, Embedded Systems.

Introduction, Definition and Characteristics of IoT, Physical Design  of  IoT,  Things in IoT, IoT Protocols, Logical Design of IoT, IoT Functional Blocks,  IoT Communication Models,  IoT Communications APIs, IoT Enabling Technologies, Wireless Sensor Networks, Cloud Computing, Big Data Analytics, Communication Protocols, Embedded Systems.

What is an IoT Device, Exemplary Device: Raspberry Pi, About the Board, Linux on  Raspberry Pi, Raspberry Pi interfaces, Programming Raspberry Pi with Python. Other IoT Devices – pcDuino, BeagleBone Black, Cubieboard.

What is an IoT Device, Exemplary Device: Raspberry Pi, About the Board, Linux on  Raspberry Pi, Raspberry Pi interfaces, Programming Raspberry Pi with Python. Other IoT Devices – pcDuino, BeagleBone Black, Cubieboard.

Home Automation, Cities, Environment, Energy, Retail, Logistics, Agriculture, Industry, Health & Lifestyle.

IoT and M2M – Introduction, M2M, Difference between IoT and M2M, SDN and NFV for  IoT.

Home Automation, Cities, Environment, Energy, Retail, Logistics, Agriculture, Industry, Health & Lifestyle.

IoT and M2M – Introduction, M2M, Difference between IoT and M2M, SDN and NFV for  IoT.

The Arduino Ecosystem, Installing the software, Connecting the Arduino, Opening a sketch, Sketching in code, The Structure of Arduino C, Verifying and Uploading, Working with variables, Making Decisions, Digital Ins and Outs, Analog In, Analog Out.

The Arduino Ecosystem, Installing the software, Connecting the Arduino, Opening a sketch, Sketching in code, The Structure of Arduino C, Verifying and Uploading, Working with variables, Making Decisions, Digital Ins and Outs, Analog In, Analog Out.

   [2]   Pethuru Raj and Anupama C. Raman , “The Internet of Things: Enabling Technologies, Platforms, and Use Cases", CRC Press, 2017.

   [3]  Brian Evans, Beginning Arduino Programming, Apress, 2011

   [2]   Olivier Hersent , David Boswarthick, Omar Elloumi , “The Internet of Things – Key applications and Protocols”, Wiley, 2012.

[3]Peter Waher, “Mastering Internet of Things: Design and create your own IoT applications using Raspberry Pi 3”, Packt Publishing, 2018

ESE 50%

Effective implementation of a Business Intelligence (BI) results in better business decisions and increased success in achieving goals. Business intelligence is the process of collecting and turning the resource into business value. This course will provide an understanding of business intelligence, knowledge delivery and examine the BI processes and techniques used in transforming data to knowledge and value.

Introduction to OLTP and OLAP, BI Definitions & Concepts, Business Applications of BI, BI Framework, Role of Data Warehousing in BI, BI Infrastructure Components – BI Process, BI Technology, BI Roles & Responsibilities.

Introduction to OLTP and OLAP, BI Definitions & Concepts, Business Applications of BI, BI Framework, Role of Data Warehousing in BI, BI Infrastructure Components – BI Process, BI Technology, BI Roles & Responsibilities.

Concepts of data integration need and advantages of using data integration, introduction to common data integration approaches, introduction to ETL, Introduction to data quality, data profiling concepts and applications.

Concepts of data integration need and advantages of using data integration, introduction to common data integration approaches, introduction to ETL, Introduction to data quality, data profiling concepts and applications.

Introduction to data and dimension modeling, multidimensional data model, ER Modeling vs. multi-dimensional modeling, concepts of dimensions, facts, cubes, attribute, hierarchies, star and snowflake schema.

Introduction to data and dimension modeling, multidimensional data model, ER Modeling vs. multi-dimensional modeling, concepts of dimensions, facts, cubes, attribute, hierarchies, star and snowflake schema.

Introduction to enterprise reporting, concepts of dashboards, balanced scorecards, and overall architecture.

Introduction to enterprise reporting, concepts of dashboards, balanced scorecards, and overall architecture.

Association rules mining, Mining Association rules from single level, multilevel transaction databases, Classification and prediction, Decision tree induction, Bayesian Classification, knearest neighbour classification.

Association rules mining, Mining Association rules from single level, multilevel transaction databases, Classification and prediction, Decision tree induction, Bayesian Classification, knearest neighbour classification.

Effective implementation of a Business Intelligence (BI) results in better business decisions and increased success in achieving goals. Business intelligence is the process of collecting and turning the resource into business value. This course will provide an understanding of business intelligence, knowledge delivery and examine the BI processes and techniques used in transforming data to knowledge and value.

Introduction to OLTP and OLAP, BI Definitions & Concepts, Business Applications of BI, BI Framework, Role of Data Warehousing in BI, BI Infrastructure Components – BI Process, BI Technology, BI Roles & Responsibilities.

Introduction to OLTP and OLAP, BI Definitions & Concepts, Business Applications of BI, BI Framework, Role of Data Warehousing in BI, BI Infrastructure Components – BI Process, BI Technology, BI Roles & Responsibilities.

Concepts of data integration need and advantages of using data integration, introduction to common data integration approaches, introduction to ETL, Introduction to data quality, data profiling concepts and applications.

Concepts of data integration need and advantages of using data integration, introduction to common data integration approaches, introduction to ETL, Introduction to data quality, data profiling concepts and applications.

Introduction to data and dimension modeling, multidimensional data model, ER Modeling vs. multi-dimensional modeling, concepts of dimensions, facts, cubes, attribute, hierarchies, star and snowflake schema.

Introduction to data and dimension modeling, multidimensional data model, ER Modeling vs. multi-dimensional modeling, concepts of dimensions, facts, cubes, attribute, hierarchies, star and snowflake schema.

Introduction to enterprise reporting, concepts of dashboards, balanced scorecards, and overall architecture.

Introduction to enterprise reporting, concepts of dashboards, balanced scorecards, and overall architecture.

Association rules mining, Mining Association rules from single level, multilevel transaction databases, Classification and prediction, Decision tree induction, Bayesian Classification, knearest neighbour classification.

Association rules mining, Mining Association rules from single level, multilevel transaction databases, Classification and prediction, Decision tree induction, Bayesian Classification, knearest neighbour classification.

UNIX is a multi user and multi-tasking operating system. After learning the concepts of an operating system, it is appropriate to learn how UNIX implements these concepts. The subject is introduced with the features and architecture of UNIX. The file system, Process management and Memory management are discussed to make the students understand the internals of UNIX. Various commands used by UNIX shell is also discussed which makes the users of UNIX comfortable to interact with each other. Bourne shell programming is dealt in depth which can be used to develop applications in UNIX.

Evolution of UNIX – UNIX System Structure – Features of Unix - Operating System Services - Unix Kernel - Locating Commands, Internal and External Commands, Flexibility of Command Usage, man: Browsing and Manual Pages On-line, Understanding the man Documentation.

General Purpose Utilities: cal, date, echo, printf, echo, bc, script, passwd, who, uname, tty, stty.

Evolution of UNIX – UNIX System Structure – Features of Unix - Operating System Services - Unix Kernel - Locating Commands, Internal and External Commands, Flexibility of Command Usage, man: Browsing and Manual Pages On-line, Understanding the man Documentation.

General Purpose Utilities: cal, date, echo, printf, echo, bc, script, passwd, who, uname, tty, stty.

The File, I-nodes – Structure of a regular file. The HOME Variable: The Home Directory, Directory related commands: pwd, mkdir, cd, rmdir. Absolute and relative path names. The UNIX File System. File manipulation commands: cat, cp, rm, mv, more, The lp Subsystem: Printing a File, file, wc, Words and Characters, od, The spell and ispell, cmp, comm, diff. File compression commands: gzip, gunzip, tar, zip, unzip. Basic file attributes: The –d Option: Listing Directory Attributes, File Ownership, File Permissions, chmod: Changing File Permissions, Directory Permissions, Changing File Ownership. Hard links, Symbolic Links, ln, umask, and find.

The File, I-nodes – Structure of a regular file. The HOME Variable: The Home Directory, Directory related commands: pwd, mkdir, cd, rmdir. Absolute and relative path names. The UNIX File System. File manipulation commands: cat, cp, rm, mv, more, The lp Subsystem: Printing a File, file, wc, Words and Characters, od, The spell and ispell, cmp, comm, diff. File compression commands: gzip, gunzip, tar, zip, unzip. Basic file attributes: The –d Option: Listing Directory Attributes, File Ownership, File Permissions, chmod: Changing File Permissions, Directory Permissions, Changing File Ownership. Hard links, Symbolic Links, ln, umask, and find.

Process Basics, Process States and Transitions, ps: Process Status, System Processes (-e or –a), Internal and External Commands, Running Jobs in Background, nice: Job Execution With Low Priority, Killing Processes with Signals, Job Control, at and batch: Execute Later, cron: Running Jobs Periodically, time: Timing Processes. PID and PPID.

Process Basics, Process States and Transitions, ps: Process Status, System Processes (-e or –a), Internal and External Commands, Running Jobs in Background, nice: Job Execution With Low Priority, Killing Processes with Signals, Job Control, at and batch: Execute Later, cron: Running Jobs Periodically, time: Timing Processes. PID and PPID.

The Sample Database, pr: Paginating Files, head: Displaying the Beginning of a File, tail: Displaying the End of a File, cut: Slitting a File Vertically, paste: Pasting Files, sort: Ordering a File, uniq: Locate Repeated and Non repeated Lines, tr: Translating Characters, An Example: Displaying a Word-count List. Filters using regular expressions: grep: Searching for a Pattern, and egrep. Communication: Communicating with Other Users: Who, Mail, Wall, Send, Mesg, Ftp.

The Sample Database, pr: Paginating Files, head: Displaying the Beginning of a File, tail: Displaying the End of a File, cut: Slitting a File Vertically, paste: Pasting Files, sort: Ordering a File, uniq: Locate Repeated and Non repeated Lines, tr: Translating Characters, An Example: Displaying a Word-count List. Filters using regular expressions: grep: Searching for a Pattern, and egrep. Communication: Communicating with Other Users: Who, Mail, Wall, Send, Mesg, Ftp.

The Wild-cards, Escaping and Quoting, Redirection; Review of vi Operations – Different Modes – Saving and Exiting - Accessing Multiple Files - Interacting with Unix - Miscellaneous Commands - Alphabetical List of Keys. Shell variables - Shell Keywords - Positional parameters - Passing command line arguments. Arithmetic in shell scripts - Read and Echo - Control Structures - if-then-fi - if-then-else-fi - Nested if - Case control structure – Loops - while-until –for - break and continue. Shell meta characters - Exporting variables - User defined Functions.

The Wild-cards, Escaping and Quoting, Redirection; Review of vi Operations – Different Modes – Saving and Exiting - Accessing Multiple Files - Interacting with Unix - Miscellaneous Commands - Alphabetical List of Keys. Shell variables - Shell Keywords - Positional parameters - Passing command line arguments. Arithmetic in shell scripts - Read and Echo - Control Structures - if-then-fi - if-then-else-fi - Nested if - Case control structure – Loops - while-until –for - break and continue. Shell meta characters - Exporting variables - User defined Functions.

[1] Sumitabha Das. UNIX Concepts and Applications. 5^th Edition, New Delhi: Tata McGraw Hill, 2013.

[2] Yashavant P Kanetkar. Unix Shell Programming. New Delhi: BPB Publications, 2012.

[1] Maurice J Bach. The Design of Unix Operating System. NewDelhi: Prentice Hall of India Pvt. Ltd, 2012.

[2] Paul Love, Joe Merlino, Craig Zimmerman, Jeremy C. Reed, and Paul Weinstein. Beginning UNIX. New Delhi: Wiley Publishing, Inc, (Wrox Publishing) 2007

ESE - 50%

This course is designed to introduce the students to web technologies in Hyper Text Mark-up Language, Cascade Style Sheet, JavaScript and PHP for interactive web applications that use rich user interfaces and also understand the server-side web technologies for creating dynamic web applications. Student will learn the concepts of web site planning and hosting. This course will help them to create an interactive website with great look and functionality.

Web technology terminology-Structure of web page- webpage-website-web server-work flow model. HTML5- History-Tags-Attributes-element-Basic tags –Formatting tags- Color coding 

List – Images- Hyperlink-Table-Header-Introduction to advanced tags-input tags-forms-style-buttons-image-video

Web technology terminology-Structure of web page- webpage-website-web server-work flow model. HTML5- History-Tags-Attributes-element-Basic tags –Formatting tags- Color coding 

List – Images- Hyperlink-Table-Header-Introduction to advanced tags-input tags-forms-style-buttons-image-video

Cascading style sheet –Benefits –CSS version history-Syntax-External-internal-inline-single style-multiple style-value lengths and percentage-ID selector –Class Selector-group Selector – universal selector- Color-background-cursor-list-Box model-display positioning-floats

Introduction to JavaScript-Client side-Server side-Advantages-limitations-Syntax-whitespace-line breaks-case sensitivity-comments-enabling in web browsers-placement-variables-executing first program-Data types –variables-scope-operators-if –else-switch-loops-function-events

Cascading style sheet –Benefits –CSS version history-Syntax-External-internal-inline-single style-multiple style-value lengths and percentage-ID selector –Class Selector-group Selector – universal selector- Color-background-cursor-list-Box model-display positioning-floats

Introduction to JavaScript-Client side-Server side-Advantages-limitations-Syntax-whitespace-line breaks-case sensitivity-comments-enabling in web browsers-placement-variables-executing first program-Data types –variables-scope-operators-if –else-switch-loops-function-events

Event Handling-onclick-onsubmit-onmouseover-onmouseout-HTML 5 standard events-cookies-how it works-storing cookies-page redirect-page printing-JS objects-Boolean-string

Event Handling-onclick-onsubmit-onmouseover-onmouseout-HTML 5 standard events-cookies-how it works-storing cookies-page redirect-page printing-JS objects-Boolean-string

PHP syntax and variables, Operators and Expressions, Conditional Branching and Looping Statements - Essentials of PHP- Installation of Web Server, XAMPP Configurations-PHP Forms- GET and POST method

PHP syntax and variables, Operators and Expressions, Conditional Branching and Looping Statements - Essentials of PHP- Installation of Web Server, XAMPP Configurations-PHP Forms- GET and POST method

Create website using Instant Design tool-Create website using WIX/Webflow/Google Site-Creating responsive web pages

Sandboxing-Testing the website-cross platform browser compatibility check up. Templates usage (case study)

Create website using Instant Design tool-Create website using WIX/Webflow/Google Site-Creating responsive web pages

Sandboxing-Testing the website-cross platform browser compatibility check up. Templates usage (case study)

[2] CSS3 in easy steps”, Mike McGrath, publisher:  In Easy Steps,  ISBN: 9781840785418, 1840785411

[3] Jeremy McPeak and Paul Wilton,  “Beginning JavaScript”, Wrox publication, 

ESE-50%

This course focuses on developing applications for modern Smartphone operating systems. Most of the course is dedicated to Google's Android. Rapid application development  techniques are covered, as well as setup of the development environment, real-world testing, and deployment.

A little background about mobile technologies, Different mobile technologies – Android, Windows, IOS, Black Berry, series 40, Bada, Benefits and drawbacks of Smartphone programming, Overview of Android, How it all got started, Why Android different and important, Android Stack overview, Linux kernel, native libraries, App  framework,  Apps, SDK overview, platforms, tools, versions. Creating and setting up custom Android emulator.

A little background about mobile technologies, Different mobile technologies – Android, Windows, IOS, Black Berry, series 40, Bada, Benefits and drawbacks of Smartphone programming, Overview of Android, How it all got started, Why Android different and important, Android Stack overview, Linux kernel, native libraries, App  framework,  Apps, SDK overview, platforms, tools, versions. Creating and setting up custom Android emulator.

Install the android SDK, Install base tools, install SDKs and Add-ons, Install apache Ant, Emulator, and Device. Get know Eclipse, Build , install and Run the Application in your Emulator or Device, Project Structure.

Install the android SDK, Install base tools, install SDKs and Add-ons, Install apache Ant, Emulator, and Device. Get know Eclipse, Build , install and Run the Application in your Emulator or Device, Project Structure.

Designing by declaration, creating the opening screen, using  alternate  resources,  implementing an about box, applying a theme, adding a menu,  adding settings,  debugging  with log messages, debugging with debugger.

Designing by declaration, creating the opening screen, using  alternate  resources,  implementing an about box, applying a theme, adding a menu,  adding settings,  debugging  with log messages, debugging with debugger.

Learning the basics, adding Graphics to existing apps,  handling input,  learn  to change  the final improvements, Playing audio, Playing Video, Adding sound to existing app,

Learning the basics, adding Graphics to existing apps,  handling input,  learn  to change  the final improvements, Playing audio, Playing Video, Adding sound to existing app,

Reading/writing local data, Accessing the Internal File system, Accessing SD card.

Reading/writing local data, Accessing the Internal File system, Accessing SD card.

1. Grant Allen, Beginning Android 4, Apress, 2012.

2. Wei-Meng Lee, Beginning android 4 application Development, John Wiley & sons, Inc, 2012.

Pragmatic. Bookshelf (2009), ISBN-13: 978-1934356173.

2. Jerome (J.F) DiMarzio , Android - A programmer's Guide, TataMcgraw Hill, ISBN: 9780071070591, 2010.

ESE: 50%

To acquire knowledge in three-dimensional modelling and animation using 3DS Max software and to render the animated scene effectively using light and material design.

Standard primitives, modelling with modifiers, making clones, working with groups.

Introduction, Working, touring the interface, working with objects, and viewing.

Standard primitives, modelling with modifiers, making clones, working with groups.

Introduction, Working, touring the interface, working with objects, and viewing.

Creating shapes with Boolean objects, tracing a sketch, editing meshes, create symmetric forms, smoothing meshes. Naming and renaming objects, organizing objects by layer, lofting an object.

Drawing with splines, modifying a shape, outlining and extruding splines, combining and extruding primitive splines, creating a solid form with splines.

Creating shapes with Boolean objects, tracing a sketch, editing meshes, create symmetric forms, smoothing meshes. Naming and renaming objects, organizing objects by layer, lofting an object.

Drawing with splines, modifying a shape, outlining and extruding splines, combining and extruding primitive splines, creating a solid form with splines.

Lighting the model, rendering a view, ambient light, adding shadow effects, playing in the shadows, using the light listener, using scene states.

Texture maps, adding materials to object, editing materials, using the standard material, assigning materials to parts of an object.

Lighting the model, rendering a view, ambient light, adding shadow effects, playing in the shadows, using the light listener, using scene states.

Texture maps, adding materials to object, editing materials, using the standard material, assigning materials to parts of an object.

Basics of 3ds max camera, setting up an interior view, creating an environment, using immersive environment for animation, using render type and elements, matching your scene to background image.

Gaining access, arranging furniture, replacing objects, using the rendered framework window.

Basics of 3ds max camera, setting up an interior view, creating an environment, using immersive environment for animation, using render type and elements, matching your scene to background image.

Gaining access, arranging furniture, replacing objects, using the rendered framework window.

The world of video, Time, creating a quick study animation, key frames, increasing and editing key frames, adding more frames, moving the camera target over time, controlling lights over time.

The world of video, Time, creating a quick study animation, key frames, increasing and editing key frames, adding more frames, moving the camera target over time, controlling lights over time.

[2] K. L. Murdock, 3ds Max 2012 Bible. Wiley, 2011.

[3] T. Mullen, Introducing Character Animation with Blender. Sybex, 2007.

ESE: 50%

The course gives introduction to the .Net framework. It also enable the studentst to learn and develop console, windows and web based application in the .NET framework using C# programming.

Vision and goals of .NET, Building blocks of .Net, Overview of .Net applications, .Net evolution, The .Net Framework Architecture, Intermediate Language(IL), Common Language Runtime (CLR), JIT Compilation, Common Type System(CTS), Common Language System (CLS), Assemblies, IL Disassembler (ILdasm.exe), Namespaces.

C# features

Working  with  methods-  understanding  method  structure,  calling  a  method,  understanding parameter types, overloading methods, virtual methods, overriding methods.

Vision and goals of .NET, Building blocks of .Net, Overview of .Net applications, .Net evolution, The .Net Framework Architecture, Intermediate Language(IL), Common Language Runtime (CLR), JIT Compilation, Common Type System(CTS), Common Language System (CLS), Assemblies, IL Disassembler (ILdasm.exe), Namespaces.

C# features

Working  with  methods-  understanding  method  structure,  calling  a  method,  understanding parameter types, overloading methods, virtual methods, overriding methods.

Constants,  fields,  methods,  properties,  events,  indexers,  operators,  constructors,  destructors, static modifiers. Compiling with multiple classes, virtual and override methods, abstract methods, sealed classes, Boxing and Unboxing,Working with namespaces, Understanding interfaces, handling exceptions.

Self Learning: Class Inheritance

Constants,  fields,  methods,  properties,  events,  indexers,  operators,  constructors,  destructors, static modifiers. Compiling with multiple classes, virtual and override methods, abstract methods, sealed classes, Boxing and Unboxing,Working with namespaces, Understanding interfaces, handling exceptions.

Self Learning: Class Inheritance

Understanding Windows Forms Architecture, Windows controls: Common, Containers, Menus and Tool strips, Data, Reporting. Adding and using windows controls to the form.

Understanding Windows Forms Architecture, Windows controls: Common, Containers, Menus and Tool strips, Data, Reporting. Adding and using windows controls to the form.

Understanding the Dataset classes and their relatives, Understanding OLEDB and SQL Server Support, Understanding common database operations using ADO.NET–Operations that don’t return rows, Data operations that return single row entities, data operations that affect single-row entities, data operations returning sets of rows, data operations affecting sets of rows, operations that return hierarchical data.

Understanding the Dataset classes and their relatives, Understanding OLEDB and SQL Server Support, Understanding common database operations using ADO.NET–Operations that don’t return rows, Data operations that return single row entities, data operations that affect single-row entities, data operations returning sets of rows, data operations affecting sets of rows, operations that return hierarchical data.

Creating web applications with webforms [ASP.NET], Difference between ASP and ASP.NET, Defining a web application, ASP.NET architecture, ASP.NET webforms, Code behind model, Validation controls in ASP.NET, Server controls and data binding, Grid view, data repeater, data list, Data binding in ASP.NET, Data source controls-sql data source, Data controls–gridview and details view, Login controls.

Creating web applications with webforms [ASP.NET], Difference between ASP and ASP.NET, Defining a web application, ASP.NET architecture, ASP.NET webforms, Code behind model, Validation controls in ASP.NET, Server controls and data binding, Grid view, data repeater, data list, Data binding in ASP.NET, Data source controls-sql data source, Data controls–gridview and details view, Login controls.

[1] JeffFerguson, BrianPatterson, Jason Beres ,C# Programming Bible ,Wiley Publishing Inc., Reprint 2006.

[1] JeffProsise, Programming .Net, 2nd Edition, WP Publishers & Distributors Pvt.Ltd, 2009.

[2]  Kevin Hoffman & Jeff Gabriel, Professional .Net Framework, 1stEdition, Wrox PressPublishers,2006.

This course is to help students to do hands-on lab experience by practicing data analytics to get the insights from the chosen area/domain based on the given topics.

1. Open/ Create a dataset and write all its characteristics. E.g. variable/ attribute, discrete/continuous, scales of measurement, frequency distribution, cumulative distribution, sorting.
2. Data Preprocessing - Filtering, Data Transformation, Data Integration.
3. Data Visualization - Graphs and charts.
4. Data Visualization - Principal Component Analysis, Multi-dimensional Scaling.
5. Correlation - Linear Correlation, Chi-Square Test.
6. Regression - Feature Selection.
7. Forecasting - Finite State Machines, Recurrent Models.
8. Classification - Any one of the methods.
9. Clustering - Any one of the methods.

1. Open/ Create a dataset and write all its characteristics. E.g. variable/ attribute, discrete/continuous, scales of measurement, frequency distribution, cumulative distribution, sorting.
2. Data Preprocessing - Filtering, Data Transformation, Data Integration.
3. Data Visualization - Graphs and charts.
4. Data Visualization - Principal Component Analysis, Multi-dimensional Scaling.
5. Correlation - Linear Correlation, Chi-Square Test.
6. Regression - Feature Selection.
7. Forecasting - Finite State Machines, Recurrent Models.
8. Classification - Any one of the methods.
9. Clustering - Any one of the methods.

ESE - 50%

To explore students to the world of interconnected devices, communication among these connected devices, transfer of data and further analysis of this data to make appropriate decisions

Introduction, Definition and Characteristics of IoT, Physical Design  of  IoT,  Things in IoT, IoT Protocols, Logical Design of IoT, IoT Functional Blocks,  IoT Communication Models,  IoT Communications APIs, IoT Enabling Technologies, Wireless Sensor Networks, Cloud Computing, Big Data Analytics, Communication Protocols, Embedded Systems.

Introduction, Definition and Characteristics of IoT, Physical Design  of  IoT,  Things in IoT, IoT Protocols, Logical Design of IoT, IoT Functional Blocks,  IoT Communication Models,  IoT Communications APIs, IoT Enabling Technologies, Wireless Sensor Networks, Cloud Computing, Big Data Analytics, Communication Protocols, Embedded Systems.

What is an IoT Device, Exemplary Device: Raspberry Pi, About the Board, Linux on  Raspberry Pi, Raspberry Pi interfaces, Programming Raspberry Pi with Python. Other IoT Devices – pcDuino, BeagleBone Black, Cubieboard.

What is an IoT Device, Exemplary Device: Raspberry Pi, About the Board, Linux on  Raspberry Pi, Raspberry Pi interfaces, Programming Raspberry Pi with Python. Other IoT Devices – pcDuino, BeagleBone Black, Cubieboard.

Home Automation, Cities, Environment, Energy, Retail, Logistics, Agriculture, Industry, Health & Lifestyle.

IoT and M2M – Introduction, M2M, Difference between IoT and M2M, SDN and NFV for  IoT.

Home Automation, Cities, Environment, Energy, Retail, Logistics, Agriculture, Industry, Health & Lifestyle.

IoT and M2M – Introduction, M2M, Difference between IoT and M2M, SDN and NFV for  IoT.

The Arduino Ecosystem, Installing the software, Connecting the Arduino, Opening a sketch, Sketching in code, The Structure of Arduino C, Verifying and Uploading, Working with variables, Making Decisions, Digital Ins and Outs, Analog In, Analog Out.

The Arduino Ecosystem, Installing the software, Connecting the Arduino, Opening a sketch, Sketching in code, The Structure of Arduino C, Verifying and Uploading, Working with variables, Making Decisions, Digital Ins and Outs, Analog In, Analog Out.

   [2]   Pethuru Raj and Anupama C. Raman , “The Internet of Things: Enabling Technologies, Platforms, and Use Cases", CRC Press, 2017.

   [3]  Brian Evans, Beginning Arduino Programming, Apress, 2011

   [2]   Olivier Hersent , David Boswarthick, Omar Elloumi , “The Internet of Things – Key applications and Protocols”, Wiley, 2012.

[3]Peter Waher, “Mastering Internet of Things: Design and create your own IoT applications using Raspberry Pi 3”, Packt Publishing, 2018

ESE 50%

This course helps student to understand image enhancement techniques in spatial domain.This also focuses on classification of images using Matlab

1.     Write a program to display frequency of each pixel occurring in a row of an image.

2.     Write a program to convert color images to Gray scaleImages.

3.     Write a program to perform Rotation of images using differentmethods.

4.     Write a program to perform resizing of images using differentmethods.

5.     Write a program to implement Contraststretching

6.     Write a program to demonstrate smoothening of animage

7.     Write a program to perform non-linear filtering of animage(Median)

8.     Write a program to implement of Edgedetection

9.     Write a program to extract the three color components in theimages

10.  Write a program to perform bit planeslicing.

1.     Write a program to display frequency of each pixel occurring in a row of an image.

2.     Write a program to convert color images to Gray scaleImages.

3.     Write a program to perform Rotation of images using differentmethods.

4.     Write a program to perform resizing of images using differentmethods.

5.     Write a program to implement Contraststretching

6.     Write a program to demonstrate smoothening of animage

7.     Write a program to perform non-linear filtering of animage(Median)

8.     Write a program to implement of Edgedetection

9.     Write a program to extract the three color components in theimages

10.  Write a program to perform bit planeslicing.

ESE 50%

This course is designed to introduce a concept of Business Intelligence for better business decision. Also gives practical knowledge on implementation of Business Intelligence concepts. 

1. Practice various data access methods. Representation formats: CSV, FLV, ARFF, XML.

2. Implement data conversion. eg. CSV2ARFF file format conversion in Java.

3. Configuring and testing the ETL tools.

4. Implement pipeline, sampling.

5. Implement surrogate keys and change in dimensions.

6. Practice data source views, dimensions, hierarchies.

7. Implement OLAP explorative data analysis with Pivot Tables.

8. Implement the metrics.

9. Implement Parent-child hierarchies. ROLAP and MOLAP.

10. Implement SQL reporting services. 

1. Practice various data access methods. Representation formats: CSV, FLV, ARFF, XML.

2. Implement data conversion. eg. CSV2ARFF file format conversion in Java.

3. Configuring and testing the ETL tools.

4. Implement pipeline, sampling.

5. Implement surrogate keys and change in dimensions.

6. Practice data source views, dimensions, hierarchies.

7. Implement OLAP explorative data analysis with Pivot Tables.

8. Implement the metrics.

9. Implement Parent-child hierarchies. ROLAP and MOLAP.

10. Implement SQL reporting services. 

ESE- 50%

UNIX is a multi user and multi-tasking operating system. After learning the concepts of an operating system, it is appropriate to learn how UNIX implements these concepts. The subject is introduced with the features and architecture of UNIX. The file system, Process management and Memory management are discussed to make the students understand the internals of UNIX. Various commands used by UNIX shell is also discussed which makes the users of UNIX comfortable to interact with each other. Bourne shell programming is dealt in depth which can be used to develop applications in UNIX.

Evolution of UNIX – UNIX System Structure – Features of Unix - Operating System Services - Unix Kernel - Locating Commands, Internal and External Commands, Flexibility of Command Usage, man: Browsing and Manual Pages On-line, Understanding the man Documentation.

General Purpose Utilities: cal, date, echo, printf, echo, bc, script, passwd, who, uname, tty, stty.

Evolution of UNIX – UNIX System Structure – Features of Unix - Operating System Services - Unix Kernel - Locating Commands, Internal and External Commands, Flexibility of Command Usage, man: Browsing and Manual Pages On-line, Understanding the man Documentation.

General Purpose Utilities: cal, date, echo, printf, echo, bc, script, passwd, who, uname, tty, stty.

The File, I-nodes – Structure of a regular file. The HOME Variable: The Home Directory, Directory related commands: pwd, mkdir, cd, rmdir. Absolute and relative path names. The UNIX File System. File manipulation commands: cat, cp, rm, mv, more, The lp Subsystem: Printing a File, file, wc, Words and Characters, od, The spell and ispell, cmp, comm, diff. File compression commands: gzip, gunzip, tar, zip, unzip. Basic file attributes: The –d Option: Listing Directory Attributes, File Ownership, File Permissions, chmod: Changing File Permissions, Directory Permissions, Changing File Ownership. Hard links, Symbolic Links, ln, umask, and find.

The File, I-nodes – Structure of a regular file. The HOME Variable: The Home Directory, Directory related commands: pwd, mkdir, cd, rmdir. Absolute and relative path names. The UNIX File System. File manipulation commands: cat, cp, rm, mv, more, The lp Subsystem: Printing a File, file, wc, Words and Characters, od, The spell and ispell, cmp, comm, diff. File compression commands: gzip, gunzip, tar, zip, unzip. Basic file attributes: The –d Option: Listing Directory Attributes, File Ownership, File Permissions, chmod: Changing File Permissions, Directory Permissions, Changing File Ownership. Hard links, Symbolic Links, ln, umask, and find.

Process Basics, Process States and Transitions, ps: Process Status, System Processes (-e or –a), Internal and External Commands, Running Jobs in Background, nice: Job Execution With Low Priority, Killing Processes with Signals, Job Control, at and batch: Execute Later, cron: Running Jobs Periodically, time: Timing Processes. PID and PPID.

Process Basics, Process States and Transitions, ps: Process Status, System Processes (-e or –a), Internal and External Commands, Running Jobs in Background, nice: Job Execution With Low Priority, Killing Processes with Signals, Job Control, at and batch: Execute Later, cron: Running Jobs Periodically, time: Timing Processes. PID and PPID.

The Sample Database, pr: Paginating Files, head: Displaying the Beginning of a File, tail: Displaying the End of a File, cut: Slitting a File Vertically, paste: Pasting Files, sort: Ordering a File, uniq: Locate Repeated and Non repeated Lines, tr: Translating Characters, An Example: Displaying a Word-count List. Filters using regular expressions: grep: Searching for a Pattern, and egrep. Communication: Communicating with Other Users: Who, Mail, Wall, Send, Mesg, Ftp.

The Sample Database, pr: Paginating Files, head: Displaying the Beginning of a File, tail: Displaying the End of a File, cut: Slitting a File Vertically, paste: Pasting Files, sort: Ordering a File, uniq: Locate Repeated and Non repeated Lines, tr: Translating Characters, An Example: Displaying a Word-count List. Filters using regular expressions: grep: Searching for a Pattern, and egrep. Communication: Communicating with Other Users: Who, Mail, Wall, Send, Mesg, Ftp.

The Wild-cards, Escaping and Quoting, Redirection; Review of vi Operations – Different Modes – Saving and Exiting - Accessing Multiple Files - Interacting with Unix - Miscellaneous Commands - Alphabetical List of Keys. Shell variables - Shell Keywords - Positional parameters - Passing command line arguments. Arithmetic in shell scripts - Read and Echo - Control Structures - if-then-fi - if-then-else-fi - Nested if - Case control structure – Loops - while-until –for - break and continue. Shell meta characters - Exporting variables - User defined Functions.

The Wild-cards, Escaping and Quoting, Redirection; Review of vi Operations – Different Modes – Saving and Exiting - Accessing Multiple Files - Interacting with Unix - Miscellaneous Commands - Alphabetical List of Keys. Shell variables - Shell Keywords - Positional parameters - Passing command line arguments. Arithmetic in shell scripts - Read and Echo - Control Structures - if-then-fi - if-then-else-fi - Nested if - Case control structure – Loops - while-until –for - break and continue. Shell meta characters - Exporting variables - User defined Functions.

[1] Sumitabha Das. UNIX Concepts and Applications. 5^th Edition, New Delhi: Tata McGraw Hill, 2013.

[2] Yashavant P Kanetkar. Unix Shell Programming. New Delhi: BPB Publications, 2012.

[1] Maurice J Bach. The Design of Unix Operating System. NewDelhi: Prentice Hall of India Pvt. Ltd, 2012.

[2] Paul Love, Joe Merlino, Craig Zimmerman, Jeremy C. Reed, and Paul Weinstein. Beginning UNIX. New Delhi: Wiley Publishing, Inc, (Wrox Publishing) 2007

ESE - 50%

The Web Technology Lab provides a great opening for those who want to pursue a career in the web development. Student will learn the core concepts of web site design including the wire framing, planning and hosting. This course will help them to create a interactive website with great look and functionality. 

1. Design/Develop a website that consists of minimum 3 pages (Landing page, Content page and Contact us page) with all the possible tags and information.
2. Design/Develop an Online Registration page using HTML Forms.
3. Create a webpage with three different CSS files/ include all type of selector and all 3 types of style sheet.
4. Create a webpage that applies CSS positioning and formatting.
5. Design webpages with JavaScript Form Validation.
6. Design webpages with and Event Handling features.
7. Design a program that demonstrate PHP-MySQL database connection.
8. Demonstrate creation, insertion and updation of table using PHP-MySQL.
9. Design a complete interactive website for portfolio management.
10. Host the website you have created and share the live website link.

1. Design/Develop a website that consists of minimum 3 pages (Landing page, Content page and Contact us page) with all the possible tags and information.
2. Design/Develop an Online Registration page using HTML Forms.
3. Create a webpage with three different CSS files/ include all type of selector and all 3 types of style sheet.
4. Create a webpage that applies CSS positioning and formatting.
5. Design webpages with JavaScript Form Validation.
6. Design webpages with and Event Handling features.
7. Design a program that demonstrate PHP-MySQL database connection.
8. Demonstrate creation, insertion and updation of table using PHP-MySQL.
9. Design a complete interactive website for portfolio management.
10. Host the website you have created and share the live website link.

ESE-50%

This course focuses on developing applications for modern Smartphone operating systems. Most of the course is dedicated to Google's Android. Rapid application development techniques are covered, as well as setup of the development environment, real-world testing, and deployment.

1.      Creating “Hello world” Application.

2.      Creating an Application that displays message based on the screen orientation.

3.      Create an application that displays custom designed Opening Screen.

4.      Create a calculator application using basic views.

5.      Create a Login page for any application.

6.      Create an application to calculate age for a given date of birth using date picker view.

7.      Create an image gallery using image view and select picture from that.

8.      Create menu in Application.

9.      Play an audio, based on the user event.

10.  Read/ write the Local data.

      11.Learn to deploy android Applications

1.      Creating “Hello world” Application.

2.      Creating an Application that displays message based on the screen orientation.

3.      Create an application that displays custom designed Opening Screen.

4.      Create a calculator application using basic views.

5.      Create a Login page for any application.

6.      Create an application to calculate age for a given date of birth using date picker view.

7.      Create an image gallery using image view and select picture from that.

8.      Create menu in Application.

9.      Play an audio, based on the user event.

10.  Read/ write the Local data.

      11.Learn to deploy android Applications

ESE: 50%

To acquire knowledge in three dimensional modelling and animation using  3DS  Max  software and to render the animated scene effectively using light and material design.

1.     Modelling basic objects using standard primitives.

2.     Editing shapes with meshes.

3.     Transformations and filling of  images.

4.     Working with  color palette and layers.

5.     Enhancing objects with lights and shadow.

6.     Enhancing models with materials.

7.     Creation of images with special effects.

8.     Rendering a Scene with layers in the time line.

9.     Keyframe animation.

10.   Rendering the animation.

1.     Modelling basic objects using standard primitives.

2.     Editing shapes with meshes.

3.     Transformations and filling of  images.

4.     Working with  color palette and layers.

5.     Enhancing objects with lights and shadow.

6.     Enhancing models with materials.

7.     Creation of images with special effects.

8.     Rendering a Scene with layers in the time line.

9.     Keyframe animation.

10.   Rendering the animation.

   [2]  K. L. Murdock, 3ds Max 2012 Bible. Wiley, 2011.

   [3]  T. Mullen, Introducing Character Animation with Blender. Sybex, 2007.

ESE: 50%

Apply the knowledge acquired on object oriented programming concepts to develop console, window and web based applications.

1. To implement output parameter and reference parameter
2. To implement the concept of indexers
3. To implement the concept of sealed class
4. To implement the concept of namespace
5. To implement the concept of interfaces
6. To implement the concept of events
7. To implement exception handling
8. To designa calculator in windows form
9. To implement data controls in windows form
10. To implement validation controls in web form
11. To implement Data controls in web form
12. To implement SqlDataReader in ADO.NET
13. To implement Dataset object in ADO.NET

1. To implement output parameter and reference parameter
2. To implement the concept of indexers
3. To implement the concept of sealed class
4. To implement the concept of namespace
5. To implement the concept of interfaces
6. To implement the concept of events
7. To implement exception handling
8. To designa calculator in windows form
9. To implement data controls in windows form
10. To implement validation controls in web form
11. To implement Data controls in web form
12. To implement SqlDataReader in ADO.NET
13. To implement Dataset object in ADO.NET

Course Description:

This course aims at developing the ability to write the mathematical proofs. It helps the students to understand and appreciate the beauty of the abstract nature of mathematics and also to develop a solid foundation of theoretical mathematics.

Course Objectives : This course will help the learner to

COBJ1. understand the theory of matrices, concepts in vector spaces and Linear Transformations.

COBJ2. gain problems solving skills in solving systems of equations using matrices, finding eigenvalues and eigenvectors, vector spaces and linear transformations.

Elementary row operations, rank, inverse of a matrix using row operations, Echelon forms, normal forms, system of homogeneous and non-homogeneous equations, Cayley Hamilton theorem, eigenvalues and eigenvectors, diagonalization of square matrices.

Elementary row operations, rank, inverse of a matrix using row operations, Echelon forms, normal forms, system of homogeneous and non-homogeneous equations, Cayley Hamilton theorem, eigenvalues and eigenvectors, diagonalization of square matrices.

Elementary row operations, rank, inverse of a matrix using row operations, Echelon forms, normal forms, system of homogeneous and non-homogeneous equations, Cayley Hamilton theorem, eigenvalues and eigenvectors, diagonalization of square matrices.

Elementary row operations, rank, inverse of a matrix using row operations, Echelon forms, normal forms, system of homogeneous and non-homogeneous equations, Cayley Hamilton theorem, eigenvalues and eigenvectors, diagonalization of square matrices.

Elementary row operations, rank, inverse of a matrix using row operations, Echelon forms, normal forms, system of homogeneous and non-homogeneous equations, Cayley Hamilton theorem, eigenvalues and eigenvectors, diagonalization of square matrices.

Elementary row operations, rank, inverse of a matrix using row operations, Echelon forms, normal forms, system of homogeneous and non-homogeneous equations, Cayley Hamilton theorem, eigenvalues and eigenvectors, diagonalization of square matrices.

Elementary row operations, rank, inverse of a matrix using row operations, Echelon forms, normal forms, system of homogeneous and non-homogeneous equations, Cayley Hamilton theorem, eigenvalues and eigenvectors, diagonalization of square matrices.

Vector space-examples and properties, subspaces-criterion for a subset to be a subspace, linear span of a set, linear combination, linear independent and dependent subsets, basis and dimensions, and standard properties.

Vector space-examples and properties, subspaces-criterion for a subset to be a subspace, linear span of a set, linear combination, linear independent and dependent subsets, basis and dimensions, and standard properties.

Vector space-examples and properties, subspaces-criterion for a subset to be a subspace, linear span of a set, linear combination, linear independent and dependent subsets, basis and dimensions, and standard properties.

Vector space-examples and properties, subspaces-criterion for a subset to be a subspace, linear span of a set, linear combination, linear independent and dependent subsets, basis and dimensions, and standard properties.

Vector space-examples and properties, subspaces-criterion for a subset to be a subspace, linear span of a set, linear combination, linear independent and dependent subsets, basis and dimensions, and standard properties.

Vector space-examples and properties, subspaces-criterion for a subset to be a subspace, linear span of a set, linear combination, linear independent and dependent subsets, basis and dimensions, and standard properties.

Vector space-examples and properties, subspaces-criterion for a subset to be a subspace, linear span of a set, linear combination, linear independent and dependent subsets, basis and dimensions, and standard properties.

Linear transformations, properties, matrix of a linear transformation, change of basis, range and kernel, rank and nullity, rank-nullity theorem, non-singular linear transformation, eigenvalues and eigenvectors of a linear transformation.

Linear transformations, properties, matrix of a linear transformation, change of basis, range and kernel, rank and nullity, rank-nullity theorem, non-singular linear transformation, eigenvalues and eigenvectors of a linear transformation.

Linear transformations, properties, matrix of a linear transformation, change of basis, range and kernel, rank and nullity, rank-nullity theorem, non-singular linear transformation, eigenvalues and eigenvectors of a linear transformation.

Linear transformations, properties, matrix of a linear transformation, change of basis, range and kernel, rank and nullity, rank-nullity theorem, non-singular linear transformation, eigenvalues and eigenvectors of a linear transformation.

Linear transformations, properties, matrix of a linear transformation, change of basis, range and kernel, rank and nullity, rank-nullity theorem, non-singular linear transformation, eigenvalues and eigenvectors of a linear transformation.

Linear transformations, properties, matrix of a linear transformation, change of basis, range and kernel, rank and nullity, rank-nullity theorem, non-singular linear transformation, eigenvalues and eigenvectors of a linear transformation.

Linear transformations, properties, matrix of a linear transformation, change of basis, range and kernel, rank and nullity, rank-nullity theorem, non-singular linear transformation, eigenvalues and eigenvectors of a linear transformation.

2. V. Krishnamurthy, V. P. Mainra, and J. L. Arora, An introduction to linear algebra. New Delhi, India: Affiliated East East-West Press Pvt Ltd., 2003.

2. S. Lang, Introduction to Linear Algebra, 2nd ed., New York: Springer-Verlag, 2005.

3. S. H. Friedberg, A. Insel, and L. Spence, Linear algebra, 4th ed., Pearson, 2015.

4. Gilbert Strang, Linear Algebra and its Applications, 4th ed., Thomson Brooks/Cole, 2007.

5. K. Hoffmann and R. A. Kunze, Linear algebra, 2nd ed., PHI Learning, 2014.

Course Description: This course aims at providing a solid foundation upon the fundamental theories on Fourier and Laplace transforms.

Course objectives​: This course will help the learner to

COBJ1. gain familiarity in fundamental theories of the Fourier series, Fourier Integrals, Fourier and Laplace transforms.
COBJ2. acquire problem solving skills in using Fourier Series, Fourier and Laplace transforms.

Fourier series and Fourier transform of some common functions. The Fourier integral, complex Fourier transforms, basic properties, transform of the derivative, convolution theorem, and Parseval’s identity. The applications of Fourier transform to ordinary differential equations.

Fourier series and Fourier transform of some common functions. The Fourier integral, complex Fourier transforms, basic properties, transform of the derivative, convolution theorem, and Parseval’s identity. The applications of Fourier transform to ordinary differential equations.

Fourier series and Fourier transform of some common functions. The Fourier integral, complex Fourier transforms, basic properties, transform of the derivative, convolution theorem, and Parseval’s identity. The applications of Fourier transform to ordinary differential equations.

Fourier series and Fourier transform of some common functions. The Fourier integral, complex Fourier transforms, basic properties, transform of the derivative, convolution theorem, and Parseval’s identity. The applications of Fourier transform to ordinary differential equations.

Fourier series and Fourier transform of some common functions. The Fourier integral, complex Fourier transforms, basic properties, transform of the derivative, convolution theorem, and Parseval’s identity. The applications of Fourier transform to ordinary differential equations.

Fourier cosine and sine transforms with examples, properties of Fourier Cosine and Sine Transforms, applications of Fourier sine and cosine transforms with examples.

Fourier cosine and sine transforms with examples, properties of Fourier Cosine and Sine Transforms, applications of Fourier sine and cosine transforms with examples.

Fourier cosine and sine transforms with examples, properties of Fourier Cosine and Sine Transforms, applications of Fourier sine and cosine transforms with examples.

Fourier cosine and sine transforms with examples, properties of Fourier Cosine and Sine Transforms, applications of Fourier sine and cosine transforms with examples.

Fourier cosine and sine transforms with examples, properties of Fourier Cosine and Sine Transforms, applications of Fourier sine and cosine transforms with examples.

Laplace Transform of standard functions, Laplace transform of periodic functions, Inverse Laplace transform, solution of ordinary differential equation with constant coefficient using Laplace transform, solution of simultaneous Ordinary differential equations.

Laplace Transform of standard functions, Laplace transform of periodic functions, Inverse Laplace transform, solution of ordinary differential equation with constant coefficient using Laplace transform, solution of simultaneous Ordinary differential equations.

Laplace Transform of standard functions, Laplace transform of periodic functions, Inverse Laplace transform, solution of ordinary differential equation with constant coefficient using Laplace transform, solution of simultaneous Ordinary differential equations.

Laplace Transform of standard functions, Laplace transform of periodic functions, Inverse Laplace transform, solution of ordinary differential equation with constant coefficient using Laplace transform, solution of simultaneous Ordinary differential equations.

Laplace Transform of standard functions, Laplace transform of periodic functions, Inverse Laplace transform, solution of ordinary differential equation with constant coefficient using Laplace transform, solution of simultaneous Ordinary differential equations.

Course Description: This course is concerned with the fundamentals of mathematical modeling. It deals with finding solution to real world problems by transforming into mathematical models using differential equations. The coverage includes mathematical modeling through first order, second order and system of ordinary differential equations.

 Course objectives​: This course will help the learner to

This course will help the learner to

COBJ1.  interpret the real-world problems in the form of first and second order differential equations. 

COBJ2.  familiarize with some classical linear and nonlinear models. 

COBJ3.  analyse the solutions of systems of differential equations by phase portrait method.

Population Dynamics, Carbon dating, Newtons law of cooling, Epidemics, Economics, Medicine, mixture problem, electric circuit problem, Chemical reactions, Terminal velocity, Continuously compounding of interest.

Population Dynamics, Carbon dating, Newtons law of cooling, Epidemics, Economics, Medicine, mixture problem, electric circuit problem, Chemical reactions, Terminal velocity, Continuously compounding of interest.

Population Dynamics, Carbon dating, Newtons law of cooling, Epidemics, Economics, Medicine, mixture problem, electric circuit problem, Chemical reactions, Terminal velocity, Continuously compounding of interest.

Population Dynamics, Carbon dating, Newtons law of cooling, Epidemics, Economics, Medicine, mixture problem, electric circuit problem, Chemical reactions, Terminal velocity, Continuously compounding of interest.

Population Dynamics, Carbon dating, Newtons law of cooling, Epidemics, Economics, Medicine, mixture problem, electric circuit problem, Chemical reactions, Terminal velocity, Continuously compounding of interest.

Population Dynamics, Carbon dating, Newtons law of cooling, Epidemics, Economics, Medicine, mixture problem, electric circuit problem, Chemical reactions, Terminal velocity, Continuously compounding of interest.

Population Dynamics, Carbon dating, Newtons law of cooling, Epidemics, Economics, Medicine, mixture problem, electric circuit problem, Chemical reactions, Terminal velocity, Continuously compounding of interest.

The vibrations of a mass on a spring, free damped motion, forced motion, resonance phenomena, electric circuit problem, Nonlinear-Pendulum.

The vibrations of a mass on a spring, free damped motion, forced motion, resonance phenomena, electric circuit problem, Nonlinear-Pendulum.

The vibrations of a mass on a spring, free damped motion, forced motion, resonance phenomena, electric circuit problem, Nonlinear-Pendulum.

The vibrations of a mass on a spring, free damped motion, forced motion, resonance phenomena, electric circuit problem, Nonlinear-Pendulum.

The vibrations of a mass on a spring, free damped motion, forced motion, resonance phenomena, electric circuit problem, Nonlinear-Pendulum.

The vibrations of a mass on a spring, free damped motion, forced motion, resonance phenomena, electric circuit problem, Nonlinear-Pendulum.

The vibrations of a mass on a spring, free damped motion, forced motion, resonance phenomena, electric circuit problem, Nonlinear-Pendulum.

Phase plane analysis: Phase Portrait for Linear and Non-Linear Systems, Stability Analysis of Solution, Applications, Predator prey model: Lotka-Volterra Model, Kermack-McKendrick Model, Predator-Prey Model and Harvesting Analysis, Competitive-Hunter Model, Combat models: Lanchester Model, Battle of IWO Jima, Battle of Vietnam, Battle of Trafalgar., Mixture Models, Epidemics-SIR model, Economics.

Phase plane analysis: Phase Portrait for Linear and Non-Linear Systems, Stability Analysis of Solution, Applications, Predator prey model: Lotka-Volterra Model, Kermack-McKendrick Model, Predator-Prey Model and Harvesting Analysis, Competitive-Hunter Model, Combat models: Lanchester Model, Battle of IWO Jima, Battle of Vietnam, Battle of Trafalgar., Mixture Models, Epidemics-SIR model, Economics.

Phase plane analysis: Phase Portrait for Linear and Non-Linear Systems, Stability Analysis of Solution, Applications, Predator prey model: Lotka-Volterra Model, Kermack-McKendrick Model, Predator-Prey Model and Harvesting Analysis, Competitive-Hunter Model, Combat models: Lanchester Model, Battle of IWO Jima, Battle of Vietnam, Battle of Trafalgar., Mixture Models, Epidemics-SIR model, Economics.

Phase plane analysis: Phase Portrait for Linear and Non-Linear Systems, Stability Analysis of Solution, Applications, Predator prey model: Lotka-Volterra Model, Kermack-McKendrick Model, Predator-Prey Model and Harvesting Analysis, Competitive-Hunter Model, Combat models: Lanchester Model, Battle of IWO Jima, Battle of Vietnam, Battle of Trafalgar., Mixture Models, Epidemics-SIR model, Economics.

Phase plane analysis: Phase Portrait for Linear and Non-Linear Systems, Stability Analysis of Solution, Applications, Predator prey model: Lotka-Volterra Model, Kermack-McKendrick Model, Predator-Prey Model and Harvesting Analysis, Competitive-Hunter Model, Combat models: Lanchester Model, Battle of IWO Jima, Battle of Vietnam, Battle of Trafalgar., Mixture Models, Epidemics-SIR model, Economics.

Phase plane analysis: Phase Portrait for Linear and Non-Linear Systems, Stability Analysis of Solution, Applications, Predator prey model: Lotka-Volterra Model, Kermack-McKendrick Model, Predator-Prey Model and Harvesting Analysis, Competitive-Hunter Model, Combat models: Lanchester Model, Battle of IWO Jima, Battle of Vietnam, Battle of Trafalgar., Mixture Models, Epidemics-SIR model, Economics.

Phase plane analysis: Phase Portrait for Linear and Non-Linear Systems, Stability Analysis of Solution, Applications, Predator prey model: Lotka-Volterra Model, Kermack-McKendrick Model, Predator-Prey Model and Harvesting Analysis, Competitive-Hunter Model, Combat models: Lanchester Model, Battle of IWO Jima, Battle of Vietnam, Battle of Trafalgar., Mixture Models, Epidemics-SIR model, Economics.

Course Description: This course is an introductory course to the basic concepts of Graph Theory. This includes a definition of graphs, types of graphs, paths, circuits, trees, shortest paths, and algorithms to find shortest paths.

Course objectives: This course will help the learner to

COBJ 1. gain conceptual knowledge on terminologies used in graph theory.

COBJ 2. understand the results on graphs and their properties.

COBJ 3. gain proof writing and algorithm writing skills.

Graphs, connected graphs, classes of graphs, regular graphs, degree sequences, matrices, isomorphic graphs.

Graphs, connected graphs, classes of graphs, regular graphs, degree sequences, matrices, isomorphic graphs.

Graphs, connected graphs, classes of graphs, regular graphs, degree sequences, matrices, isomorphic graphs.

Graphs, connected graphs, classes of graphs, regular graphs, degree sequences, matrices, isomorphic graphs.

Graphs, connected graphs, classes of graphs, regular graphs, degree sequences, matrices, isomorphic graphs.

Graphs, connected graphs, classes of graphs, regular graphs, degree sequences, matrices, isomorphic graphs.

Graphs, connected graphs, classes of graphs, regular graphs, degree sequences, matrices, isomorphic graphs.

Bridges, trees, minimum spanning trees, cut-vertices, blocks, traversability, Eulerian and Hamiltonian graphs, digraphs. 

Bridges, trees, minimum spanning trees, cut-vertices, blocks, traversability, Eulerian and Hamiltonian graphs, digraphs. 

Bridges, trees, minimum spanning trees, cut-vertices, blocks, traversability, Eulerian and Hamiltonian graphs, digraphs. 

Bridges, trees, minimum spanning trees, cut-vertices, blocks, traversability, Eulerian and Hamiltonian graphs, digraphs. 

Bridges, trees, minimum spanning trees, cut-vertices, blocks, traversability, Eulerian and Hamiltonian graphs, digraphs. 

Bridges, trees, minimum spanning trees, cut-vertices, blocks, traversability, Eulerian and Hamiltonian graphs, digraphs. 

Bridges, trees, minimum spanning trees, cut-vertices, blocks, traversability, Eulerian and Hamiltonian graphs, digraphs. 

Matching, factorizations, decompositions, graceful labeling, planar graphs, Embedding graphs on surfaces.

Matching, factorizations, decompositions, graceful labeling, planar graphs, Embedding graphs on surfaces.

Matching, factorizations, decompositions, graceful labeling, planar graphs, Embedding graphs on surfaces.

Matching, factorizations, decompositions, graceful labeling, planar graphs, Embedding graphs on surfaces.

Matching, factorizations, decompositions, graceful labeling, planar graphs, Embedding graphs on surfaces.

Matching, factorizations, decompositions, graceful labeling, planar graphs, Embedding graphs on surfaces.

Matching, factorizations, decompositions, graceful labeling, planar graphs, Embedding graphs on surfaces.

Course Description​: This course aims to enlighten students with the fundamental concepts of vectors, geometry of space, partial differentiation and vector analysis such as gradient, divergence, curl, and the evaluation of line, surface and volume integrals. The three classical theorems, viz., Green’s theorem, Gauss divergence theorem and Stoke’s theorem are also covered.

Course objectives​: This course will help the learner to 

COBJ 1. gain familiarity with the fundamental concepts of vectors and geometry of space  Curves.

COBJ 2. illustrates and interprets differential and integral calculus of vector fields 

COBJ 3. demonstrate the use Green’s Theorem, Stokes Theorem, and Gauss’ divergence Theorem

Fundamentals: Three-dimensional coordination systems, Vectors and vector operations, Line and planes in space, Curves in space and their tangents, Integrals of vector functions, Arc length in space, Curvature and normal vectors of a space, TNB frame, Directional derivatives and gradient  vectors, Divergence and curl of vector valued functions.

Fundamentals: Three-dimensional coordination systems, Vectors and vector operations, Line and planes in space, Curves in space and their tangents, Integrals of vector functions, Arc length in space, Curvature and normal vectors of a space, TNB frame, Directional derivatives and gradient  vectors, Divergence and curl of vector valued functions.

Fundamentals: Three-dimensional coordination systems, Vectors and vector operations, Line and planes in space, Curves in space and their tangents, Integrals of vector functions, Arc length in space, Curvature and normal vectors of a space, TNB frame, Directional derivatives and gradient  vectors, Divergence and curl of vector valued functions.

Fundamentals: Three-dimensional coordination systems, Vectors and vector operations, Line and planes in space, Curves in space and their tangents, Integrals of vector functions, Arc length in space, Curvature and normal vectors of a space, TNB frame, Directional derivatives and gradient  vectors, Divergence and curl of vector valued functions.