Concise Modular Calculus 36 97

Justifies that volumes are computed by integrating the areas of cross sections. Computes the volume of a solid of revolution, the ...

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

Explains what

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

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

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

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

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

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

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

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

Justifies one sided limits through "failure modes" for limits. Analyzes one sided limits and vertical asymptotes graphically and ...

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