Videos

Introductory Videos

Chapters	Topics	Slides
Review	Review Functions & Models Review Essential Functions & Trig Review Transformations of Functions Review Exponential Functions Review Inverse Functions	slides slides slides slides slides
Limits	Secants, Tangents, and Velocity The Limit of a Function Infinite Limits Limit Laws Calculating Limits using Laws Continuity Limits at Infinity (OS 4.6) More Limites at Infinity Derivatives and Rates of Change The Derivative as a Function Graphical Differentiation	slides slides slides slides slides slides slides slides slides slides slides
The Derivative	Derivatives of Polynomials and Exponentials Product and Quotient Rules Derivatives of Trig Functions Derivatives involving logarithmic and exponential functions The Chain Rule Implicit Differentiation Logarithmic Differentiation Derivatives in the Sciences Exponential Growth and Decay Related Rates Linear Approximation & Differentials	slides slides slides slides slides slides slides slides slides slides slides
Applications of Derivatives	Maximum and Minimum Values The Mean Value Theorem Derivatives and the Shape of the Graph (OS 4.5) L'Hopital's Rule (OS 4.8) Curve Sketching More Curve Sketching Optimization (OS 4.7) Newton's Method (OS 4.9) Antiderivatives (OS 4.10)	slides slides slides slides slides slides slides slides slides
Integration	Areas and Distances The Definite Integral Area so far Functions The Fundamental Theorem of Calculus (I) The Fundamental Theorem of Calculus (II) Net Change Theorem Integration by Substitution (part 1) Integration by Substitution (part 2) Integrals resulting in inverse trig functions	slides slides slides slides slides slides slides slides slides