Concise Modular Calculus 38 97

Discusses improper integrals over infinite intervals. Computes the escape velocity from the Earth. Computes and estimates ...

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 ...

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

Defines improper integrals near vertical asymptotes. Finishes the discussion of the Gamma function. Introduces convergence tests ...

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

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

Explains what

Presents the derivative form of the fundamental theorem of

Derives the derivatives of the sine function, the cosine function and the tangent function. Shows how the derivatives are used in ...

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

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

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