Seed Programming

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The Math Lab for Young Minds: Logic, Geometry & Algebra

Winter 2024

Rs 10,000/- PKR

About Course

This course introduces fundamental concepts in physics, mathematics, and computer science, using interactive simulations and hands-on activities. Students will explore motion, including horizontal and vertical movement, gravity, and projectile motion, with tools like GeoGebra. They'll deepen their understanding of classical mechanics by modeling falling objects, optimizing projectile trajectories, and discussing advanced topics such as Newton's cannonball and orbital motion. The course also introduces logical reasoning, proof techniques, and combinatorics, including graph theory, topological sorting, and pathfinding algorithms (DFS and BFS). By the end of the course, students will have developed a solid foundation in both mathematical proofs and practical applications, including probability simulations, to solve real-world problems.

What Will You Learn?

  • Understanding basic principles of motion, including horizontal and vertical movement.
  • Simulating simple motion scenarios using GeoGebra to visualize speed and trajectory.
  • Exploring the effects of gravity on falling objects and dispelling common misconceptions.
  • Analyzing free fall motion and graphing velocity and displacement over time.
  • Mastering depth-first search (DFS) and breadth-first search (BFS) algorithms for pathfinding and problem solving.
  • Simulating and optimizing projectile motion, exploring how velocity affects flight time and path.
  • Studying Newton’s cannonball experiment and the concept of orbital motion around a spherical Earth.
  • Learning logical reasoning and proof techniques, including direct proof and proof by contradiction.
  • Understanding graph theory concepts, including vertices, edges, and directed acyclic graphs (DAGs).
  • Combining horizontal and vertical motion to understand projectile trajectories.

Registration Queries

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