Calculus I: Change & Accumulation
Before this course
Function notation, algebraic factoring, exponents and trigonometry.
Review a prerequisite lesson →- 01Limits & Continuity
Use nearby values and algebra to find limits, and distinguish a limit from the function value.
- 02Derivatives, Chain Rule & Implicit Change
Interpret the derivative as instantaneous change and use power, chain and implicit differentiation rules.
- 03Derivative Tests & Optimization
Find candidates for extrema, test their behavior and check the contextual domain.
- 04Integrals & the Fundamental Theorem
Connect signed accumulation, antiderivatives and differentiation through the Fundamental Theorem of Calculus.
After these topics
Broader transcendental derivatives, substitution and extended modeling projects.
The topics above describe this library’s current scope, not a complete university course. Use the reference readings and written exercises to continue.