Calculus I

Develop an intuitive and formal understanding of limits and continuous functions

• ○Intuitive Idea of a Limit12m
• ○Limit Laws14m
• ○One-Sided Limits & the Squeeze Theorem14m
• ○Continuity12m
• ?Limits & Continuity Practice12m

Learn the derivative as a rate of change and master differentiation rules

• ○Definition of the Derivative14m
• ○The Power Rule & Basic Rules12m
• ○Product & Quotient Rules14m
• ○Chain Rule & Implicit Differentiation16m
• ?Derivatives Practice12m

Apply differentiation to real-world problems and advanced analysis

• ○Related Rates16m
• ○Optimization16m
• ○Linear Approximation & L'Hopital's Rule14m
• ○Curve Sketching14m
• ⌖Optimization with Python12m
• ?Applications of Derivatives Practice12m

Discover antiderivatives, definite integrals, and the Fundamental Theorem of Calculus

• ○Antiderivatives14m
• ○Definite Integrals & Riemann Sums16m
• ○The Fundamental Theorem of Calculus16m
• ○Integration by Substitution14m
• ?Integrals Practice12m

Use integrals to compute areas, volumes, and other physical quantities

• ○Area Between Curves14m
• ○Volumes of Revolution16m
• ○Average Value & Work14m
• ⌖Numerical Integration with Python12m
• ?Applications of Integration Practice12m

Consolidate your knowledge with comprehensive review and an applied project

• ○Review: Limits & Derivatives14m
• ○Review: Integrals & Applications14m
• ?Comprehensive Final Quiz15m
• ⚒Applied Project: Modeling Motion30m

A comprehensive 20-question assessment covering limits, derivatives, integrals, and applications

• ?Comprehensive Final Exam45m