Calculus

Course overview

A rigorous introduction to single-variable calculus. Build intuition for graphs and models, master limits and continuity, and develop fluency with differentiation and integration. This course blends conceptual understanding with procedural fluency, using visual models and real-world applications so that every idea is grounded in intuition before formalism.

What you'll master

• Analyze and sketch graphs of equations and models
• Evaluate limits graphically, numerically, and analytically
• Differentiate functions using core rules and interpret the result
• Apply derivatives to motion, optimization, and curve analysis
• Understand the definite integral and the area problem
• Connect differentiation and integration via the Fundamental Theorem