Learning Calculus with Geometry Expressions
L. Van Warren
Introduction
Lecture 0 - Geometry Expressions Warm-Up
Lecture 1 - Explicit, Implicit and Parametric Equations
Lecture 2 - A Short Atlas of Curves
Lecture 3 - Systems of Equations
Lecture 4 - Invertibility, Uniqueness and Closure
Lecture 5 - Finite Limits
Lecture 6 - Infinite Limits
Lecture 7 - Continuity
Lecture 8 - Discontinuity
Lecture 9 - Precise Definition of the Limit
Lecture 10 - Definition of the Derivative
Lecture 11 - Properties of the Derivative
Lecture 12 - Derivatives of Common Functions
Lecture 13 - Implict and Logarithmic Differentiation
Lecture 14 - Rates of Change
Lecture 15 - Related Rates
Lecture 16 - Extrema - Maxima and Minima
Lecture 17 - Derivative Tests and Mean Value Theorem
Lecture 18 - Optimization
Lecture 19 - The Indefinite Integral
Lecture 20 - Integration, Area and Distance
Lecture 21 - The Definite Integral
Lecture 22 - The Fundamental Theorem of Calculus
Lecture 23 - Cartesian and Polar Integration
Lecture 24 - Substitution
Lecture 25 - Integration by Parts
Lecture 26 - Area Between Curves
Syllabus