A first look at wrangling with the infinitesimal.
Making quantitative sense of the moment when everything's changing.
The practitioner's toolkit: the product rule, chain rule, and more.
Linear approximation, implicit differentiation, L'Hôpital's Rule, and some physics!
What is integration, and why is it useful? We'll build up to definite integrals and the fundamental theorem of calculus.
The fundamental toolkit, from substitution to trigonometric integrals to integration by parts.
How to use integrals to find areas, volumes, arc lengths, and more - including applications in physics!