Calculus
Explore the mathematics of change and infinity
Calculus unveils the mathematics of change and accumulation, revealing the connections between seemingly disparate phenomena. This course goes beyond computational techniques, exploring the conceptual foundations that make calculus one of mathematics' most elegant achievements. We'll journey through the landscapes of limits, derivatives, and integrals, developing an intuition for the infinite processes that underlie calculus. Rather than focusing solely on formulas, we'll explore the ideas that connect calculus to broader mathematical and scientific inquiry. Each lecture will blend exploration with collaborative problem-solving, emphasizing conceptual understanding over mechanical calculation. We'll work through problems together during the lectures, building a community of mathematical thinkers.
- 1Develop intuition for infinite processes and limits
- 2Understand the foundations of differentiation and integration
- 3Explore the connections between calculus and other mathematical domains
- 4Build reasoning skills through mathematical analysis
- 5Apply calculus concepts to model and understand change
Week 1 Materials
Access lecture videos, notes, and problem sets for this week
Lecture Video
Lecture Notes
Problem Sets
All lectures are conducted online via Zoom. Meeting links will be provided to enrolled students.
Ready to Join?
Enroll now to secure your spot in our Calculus course. Classes start August 5, 2025.