Interactive Resources for Calculus I

Sample Problems

Functions: Functions, their domains, ranges and graphs
Limits and derivatives: Limits of functions, derivatives as limits
Derivatives: Differentiation, relationship between $f$ and $f$ ^',tangent lines, implicit differentiation, related rates, higher derivatives
Approximation: Linear approximation, quadratic approximation, Newton's method
Curve sketching: Extrema, monotonicity, concavity