Concise Modular Calculus 49 97

Explains the expected value as a measure where a distribution is centered and the variance as a measure of how much a ...

Defines and computes derivatives via difference quotients. Checks tangent line computations graphically. All videos and slides for ...

Justifies the power rule and shows how it abbreviates the computation of derivatives. Computes tangent lines, growth behavior ...

Explains what

Computes areas under curves and areas between curves with the Fundamental Theorem of

Justifies l'Hospital's rule graphically. Computes limits of indeterminate forms that are quotients, products, differences and powers.

Justifies how a derivative can be found implicitly when we cannot solve for y. Computes tangent lines via implicit differentiation ...

Explains that sample statistics are the measurable manifestations of the probabilistic models presented so far. Emphasizes that ...

Illustrates the influence of probability in discrete games of chance. Introduces the ideas for probability functions and expected ...

Explains how to compute probabilities and events with the uniform distribution. All videos and slides for single variable

Illustrates the derivative as the formal concept behind instantaneous velocities, tangent lines and general instantaneous rates of ...

Visually illustrates the typical ways in which limits are used: Divisions by zero, defining derivatives, defining integrals and ...

Shows how higher derivatives can be used to obtain more subtle information about a function than what the first derivative ...