Basic calculus

Illustrating thelimit of a function using table of values -- Illustrating the limit of a function using graphics -- Evaluating the limits of algebraic functions -- Understanding one-sided limits -- Illustrating infinite limits -- Understanding limits at infinity -- Evaluating the limits of trigonometric functions -- Evaluating the limits exponential functions -- Evaluating the limits of logarithmic functions -- Understanding continuity of a function at a number -- Undrstanding continuity of a function on an interval --Understanding intermediate-value theorem -- Solving problems involving continuity of a function -- Understanding the derivative of a function -- Finding the derivative of algebraic functions -- Using the chain rule for differentiation -- Finding the derivative of trigonometric functions -- Finding the derivative of exponential functions -- Finding the derivative of logarithmic functions -- Performing implict differentiation -- Finding higher order derivatives -- Relating the derivative of a function and the slope of the tangent line -- Understanding derivative as a rate of change -- Solving related rates problems -- Finding the maximumand minimumfunction values -- Solving optimization problems -- Illustrating the antiderivative of a function -- Finding the antiderivative of algebraic functions -- Finding the antiderivative of exponential functions -- Finding the antiderivative of logarithmic functions -- Finding the antiderivative of trigonometric functions -- Solving problems involving growth and decay -- Defining integral using rieman sums -- Evaluating definite integrals -- Computing the areas of plane regions using definite integral

Calculus

English