FOSSEE- SOUL Winter Internship 2024

Topics for the internship

1. Mathematical Applications Project using GeoGebra
2. Physics Simulations Project using Apps on Physics

Eligibility to participate

• For Mathematics Application project using GeoGebra project: 
  • Graduate/postgraduate student studying BSc/MSc with Mathematics as one of the subjects 
  • Mathematics students and teachers from standard 7 to standard 12.

• For Physics Simulations Project using Apps on Physics:
  • Graduates/postgraduates studying BSc/MSc with Physics as one of the subjects
  • Physics students and teachers from standard 7 to standard 12.

Choose the screening tasks questions and submit the completed tasks according to your preferred choice of topics.

Link for registration and important dates:   https://fossee.in/winter-internship/2024

Resources

• GeoGebra: Links for Spoken Tutorials 
  • https://spoken-tutorial.org/tutorial-search/?search_foss=Applications+of+GeoGebra&search_language=English
  •  
  • https://spoken-tutorial.org/tutorial-search/?search_foss=GeoGebra+5.04&search_language=English

• Apps on Physics: Links for Spoken Tutorials 
  • https://spoken-tutorial.org/tutorial-search/?search_foss=Apps+On+Physics&search_language=English

Mathematical Applications Project using GeoGebra  - Screening Task Questions

You may choose any two of the screening tasks given below.

 Task 1: 

1. Open a GeoGebra window
2. Create graphs of the following trigonometric functions: 
   • Sin(x), 
   • Cos(x), 
   • Tan(x), 
   • Cosec(x), 
   • Sec(x) and 
   • Cot(x).
3. Create check boxes to show and hide these graphs.

 Task 2:  

1. Plot graphs to find roots, extrema and inflection points for the following polynomials.
   • 1)  f(x)=-2x⁴-x³+3x²
   • 2)  g(x)=x⁵-7x⁴+9x³+23x²-50x+24
   • 3)  h(x)=(3x²-2x-1)/(2x²+3x-2)
2. Show each polynomial on a separate GeoGebra window and save it as a .ggb file.

 Task 3:  

1. Draw graphs for the given functions and 
   • f(x) = (sin(x) + cos(x)) / (sin(x) - cos(x))
   • g(x)= (5x³+3x-1)(x-1)
2. Find their first and second derivatives in GeoGebra:
3. Show each function and its derivatives on separate GeoGebra files.

For the submission, 

• create a folder, and save all the GeoGebra files in .ggb format  and 
• write steps to explain how each task is performed. 

Physics Simulations Project using Apps on Physics- Screening Task questions

1. Visit the following link:

https://www.walter-fendt.de/html5/phen/

2. Explore any two of the given Apps available at the following link: 
   1. Equilibrium of Three Forces
   2. Simple Pendulum
   3. Beats

Write one page report with steps to explain how each task is performed with appropriate images of the App taking examples from standard text books.

Procedure to submit the task

1. Create a zip file and upload the completed tasks in your Google Drive 

2. Share the link for the Google Drive via email to contact-soul@fossee.in 

If you have any questions, you may write to us at: contact-soul@fossee.in