Concise Modular Calculus 59 97

Introduces the alternating series test and the limit comparison test. Shows how, for the partial sums of certain series, to estimate ...

Explains what

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

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

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

Incorporates major concepts of

Introduces definite integrals as limits of Riemann sums. Shows how definite integrals are used to compute areas, displacements ...

Demonstrates that the Mean Value Theorem is the tool that connects slopes (a microscopic concept) with growth behavior (a ...

Introduces integration by parts as the reversal of the product rule. Illustrates integration by parts as a process that can be used in ...

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

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

Defines sequences as, well, sequences of numbers. Explains how the limit of a sequence governs the sequence's long-term ...

Explains limits at a point. Shows graphical, numerical and symbolic examples. Emphasizes computation that does not rely on ...