Calculus Connects
A fun and interactive online series
Registration: Registration is required.
Date: May 29, 2021 June 5, 2021 June 12, 2021 June 19, 2021 June 26, 2021
Time: 4:00 PM - 5:30 PM
Venue: Online


The focus of the course was to grasp the core concepts of calculus using concrete analogies, without getting lost in the basic definitions and unending algebraic calculations. Most of the burden of algebra was taken up by GeoGebra App and other free online tools, so one could discover and admire the beauty of calculus itself without any distraction, and explore the subject from the core.

This was a series of five sessions, each being 1 hour and 30 minutes long, conducted online through the Zoom platform.

Take the full course at the following link:

No formal background knowledge in Calculus was required; however, background knowledge of Algebra, Trigonometry, and Functions was expected. The course was specifically curated for high school students and teachers who find calculus “clue-less” but have a motivated and curious mind. (Note: Students from lower grades can also join, if they are competent and motivated enough!) The course was designed and instructed by Hasan Khan.

Details of Calculus Connects

Instructor ProfileThe instructor, Hasan Khan, holds a Master’s Degree in Particle and Nuclear Physics from Finland and has been involved in high school mathematics and physics teaching for over 8 years in Europe (Copenhagen) and in Africa. He is also certified from CERN in teaching physics, and from ESA (European Space Agency) in integrating ICT in Physics and Maths education.
• Working knowledge of basic elementary school Algebra, Trigonometry, and Functions are required.
• Access to internet and computer.
• Motivated and curious mind.
• Even though the Geogebra app will be used to do most of the algebraic calculations, no computer programming experience is needed.
Breakup of Lectures1. Setting the scene; The fundamental concepts of Pre-Calculus.
2. Nature and the need of Calculus–the mathematics of the Change.
3. The Discovery of Pi - Prehistoric Calculus
4. An intuitive introduction to the three core ideas in calculus - Limit, Derivative, and Integration
5. The use of free online tools - GeoGebra/Desmos and Wolfram cloud.
6. Limits and infinitesimals - The paradox of Zero.
7. Ways to Measure and Quantify the Change.
8. Graphical sense of derivative
9. An inquiry-based approach to determine the derivative of common mathematical functions (Polynomial, Trigonometric, Exponential)
10. Modeling application of Derivative in Physics and Arts
11. Building intuition for integrals.
12. Integral Calculus with GeoGebra - Area under the Curve, Surface Area, Volume of Revolution, etc.
13. Connecting calculus with the real world.
Certificates Students who complete more than 80% of the sessions will be awarded a completion certificate.

List of Students who Successfully Completed Calculus Connects

Aelaf Eskindir
Ahmad Hamid Bangash
Inshal Latif
Mahnoor Fatima
Muhammad Asif Kamran
Muhammad Muneeb Pervez
Nadia Tajik
Naveeda Siddiqui
Rao Zaid Ali Khan
Umaima Rizwan
Waqas Tariq
Bilal Tariq
Huda Imdad
Muhammad Abdullah
Muhammad Bin Tariq
Muhammad Raza Khan
Muhammad Usman
Syed Shayaan Haider
Ahsan Javed
Danyal Naveed
Hiba Ali
Qaisar Mahmood Gondal
Bilal Muddassir
Khujista Nadeem
Mohsina Asif
Ubaid Rehman

Resource Persons:
Hasan Khan

Mohsina Asif
Science Communicator, KSS

External References:
YouTube Playlist Link