Active Calculus

Preview Activity 1.1.1 - How do we measure velocity?
Preview Activity 1.2.1 - The notion of limit
Preview Activity 1.3.1 - The derivative of a function at a point
Preview Activity 1.4.1 - The derivative function
Preview Activity 1.5.1 - Interpreting, estimating, and using the derivative
Preview Activity 1.6.1 - The second derivative
Preview Activity 1.7.1 - Limits, continuity, and differentiability
Preview Activity 1.8.1 - The tangent line approximation
Preview Activity 2.1.1 - Elementary derivative rules
Preview Activity 2.2.1 - The sine and cosine functions
Preview Activity 2.3.1 - The product and quotient rules
Preview Activity 2.4.1 - Derivatives of other trigonometric functions
Preview Activity 2.5.1 - The chain rule
Preview Activity 2.6.1 - Derivatives of inverse functions
Preview Activity 2.7.1 - Derivatives of functions given implicitly
Preview Activity 2.8.1 - Using derivatives to evaluate limits
Preview Activity 3.1.1 - Using derivatives to identify extreme values
Preview Activity 3.2.1 - Using derivatives to describe families of functions
Preview Activity 3.3.1 - Global optimization
Preview Activity 3.4.1 - Applied optimization
Preview Activity 3.5.1 - Related rates
Preview Activity 4.1.1 - Determining distance traveled from velocity
Preview Activity 4.2.1 - Riemann sums
Preview Activity 4.3.1 - The definite integral
Preview Activity 4.4.1 - The fundamental theorem of calculus
Preview Activity 5.2.1
Preview Activity 5.3.1
Preview Activity 5.4.1
Preview Activity 5.5.1
Preview Activity 5.6.1
Preview Activity 6.1.1
Preview Activity 6.2.1
Preview Activity 6.3.1
Preview Activity 6.4.1
Preview Activity 6.5.1
Preview Activity 7.1.1
Preview Activity 7.2.1
Preview Activity 7.3.1
Preview Activity 7.4.1
Preview Activity 7.5.1
Preview Activity 7.6.1
Preview Activity 8.1.1
Preview Activity 8.2.1
Preview Activity 8.3.1
Preview Activity 8.3.3
Preview Activity 8.3.4
Preview Activity 8.4.1
Preview Activity 8.5.1
Preview Activity 8.6.1