Concise Modular Calculus 26 97

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

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

Incorporates major concepts of

4/5 on Vector

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

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

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

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

Derives Snell's law of refraction as an application of parameter dependent optimization. All videos and slides for single variable ...

Explains what

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

(Alternative 1b/5 on Series) Introduces infinite series as a vehicle to simulate the "summation of infinitely many numbers." Explains ...

Justifies the antiderivative form of the fundamental theorem of