Concise Modular Calculus 57 97

Introduces power series as a way to represent functions. Explains the radius of convergence, the algebra, derivatives and ...

Explains what

Incorporates major concepts of

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

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

Sketches the graph of a normal distribution with mean mu and standard deviation sigma. Note: Sigma is positive throughout.

Explains the comparison test and the ratio test. Presentation deliberately kept short to allow quick transition to power series.

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

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 ...

Explains limits at infinity through long term behavior of functions and processes. Shows limit computation at infinity as well as the ...

Demonstrates why the Intermediate Value Theorem should be true. Uses the Intermediate Value Theorem to determine the signs ...

Explains elementary methods to multiply and divide power series. All videos and slides for single variable