Catalog of Screencasts for Calculus -- (June and July 2015)

Video 1.1a -- Absolute Values and Intervals

Video 1.1b -- Functions -- Formulas, Tables, Graphs

Video 1.1c -- Shifting of Graphs; Symmetries

Video 1.2a -- Linear Functions

Video 1.2b -- Other Equations for Lines

Video 1.2c -- Quadratic Functions, part 1

Video 1.2d -- Quadratic Functions, part 2

Video 1.3a -- Combinations of Functions (Sums, Products, Quotients, Compositions)

Video 1.3b -- Piecewise Functions

Video 1.4 -- Trigonometric Functions

Video 1.5 -- Inverse Functions

Video 1.6a -- Exponential Functions

Video 1.6b -- Logarithm Functions

Video 2.1a -- Rates of Change

Video 2.1b -- Slopes of Tangents

Video 2.2a -- Numerical Approach to Limits

Video 2.2b -- Graphical Approach to Limits

Video 2.3 -- The Limit Laws

Video 2.4 -- Limits and Continuity

Video 2.5 -- Computing Limits Algebraically

Video 2.6 -- Trigonometric Limits (sin(x)/x and (cos(x) - 1)/x)

Video 2.7 -- Limits at Infinity

Video 3.1 -- The Derivative of a Function

Video 3.2a -- The Derivative as a Function: Formulas, part 1

Video 3.2b -- The Derivative as a Function:  Formulas, part 2

Video 3.2c -- The Derivative as a Function: Graphs

Video 3.2d -- The Derivative as a Function:  Differentiability, Local Linearity

Video 3.3a -- Product Rule for Derivatives

Video 3.3b -- Quotient Rule for Derivatives

Video 3.5 -- Higher Derivatives

Video 3.6 -- Derivatives of Trigonometric Functions

Video 3.7 -- The Chain Rule

Video 3.8a -- Implicit Differentiation

Video 3.8b -- Derivatives of Inverse Functions

Video 3.9 -- Related Rates Problems

Video 4.2 -- Extreme Values

Video 4.3 -- Mean Value Theorem and Consequences

Video 4.4a -- Second Derivatives and Concavity

Video 4.4b -- The Second Derivative Test

Video 4.7a -- Applied Optimization Problems

Video 4.7b -- Applied Optimization Problems, continued