Calculus and Optimization

Introduction, Classes of Functions, Types of Functions...

Introduction to Calculus, The Tangent Problem and Differential Calculus, The Area Problem and Integral Calculus...

Continuity of Functions, Types of Discontinuities, Continuity over an Interval...

Derivatives, Examples of Derivatives, Differentiability...

Rate of Change, Derivatives as Rates of Change, Examples of Rate of Change...

Taylor Series Expansion, Examples, Using Taylor Series for Limits