Concise Modular Calculus 56 97

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

Presents the derivative form of the fundamental theorem of

Justifies the antiderivative form of the fundamental theorem of

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

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

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

Explains what

Incorporates major concepts of

Outlines a structured procedure to find absolute minima and maxima of functions. Applies the procedure to discuss why soda cans ...

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

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

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

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