Date & Time:15 September 2024 at 19:00-21:00 IST

Registration Fee: 99 INR

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Venue: Online mode

Target Audience:

• UG and PG Students
• Students interested in learning mathematical concepts through computational tools
• Learners looking to enhance practical skills in graph plotting and visualization using free and open source software

Workshop Objectives:

• To familiarize students with mathematical concepts using free and open source software.
• To provide hands-on experience in plotting functions, straight lines, conics, and circles.
• To enhance students’ understanding of the impact of varying parameters on graphical representations.

Content

Module 1: Introduction to Free and Open Source Software (15 minutes)

• Overview of free and open-source mathematics software: Mathematica, MATLAB, Scilab, Maxima, Maple, Sage Math
• Installing and setting up software
• Basic interface walkthrough

Module 2: Plotting Mathematical Functions (30 minutes)

• Topics Covered:
  • Functions: Elementary functions i.e. sqrt(ax+b), sin(ax+b), cos(ax+b), |ax+b|, exp(ax+b), sin|ax+b|, cos|ax+b|, etc.
• Hands-On Activity:
  • Plotting these functions using the selected software
  • Varying constants a and b and observing the effect on graphs
• Key Learning Outcomes:
  • Understanding function behavior through graphical representation
  • Practical experience in software-based graph plotting

Module 3: Exploring Straight Lines (20 minutes)

• Topics Covered:
  • General equation of a straight line
  • Variation of coefficients and constants
• Hands-On Activity:
  • Plotting straight lines and analyzing geometric changes
• Key Learning Outcomes:
  • Understanding the relation between line equations and their geometry

Module 4: Conic Sections (20 minutes)

• Topics Covered:
  • Understanding conic sections as sections of a cone
• Hands-On Activity:
  • Plotting different conic sections (parabolas, ellipses, hyperbolas)
• Key Learning Outcomes:
  • Visualizing conic sections and their geometric properties

Module 5: Drawing Circles (15 minutes)

• Topics Covered:
  • Drawing circles based on given center and radius
  • Drawing circles based on the center and a point on the circle
• Hands-On Activity:
  • Plotting circles using the given parameters
• Key Learning Outcomes:
  • Understanding circle equations and their graphical representation

Module 6: Q&A and Wrap-Up (10 minutes)

• Recap of the workshop activities
• Open floor for questions and clarification
• Summary and feedback collection