Concise Modular Calculus 16 97

Derives the product rule and the quotient rule. Computes tangent lines and where a function is increasing or decreasing. Checks ...

Explains what

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

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

Justifies the chain rule. Computes tangent lines, where a function is increasing or decreasing, graphs a function and solves an ...

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

Introduces three-dimensional coordinate systems. Shows how to represent points and figures in three dimensions using ...

2/2 on Change of Variables & Surface Area) Discusses the multivariable change of variable formula. Explains how to encode a ...

Explains that sample statistics are the measurable manifestations of the probabilistic models presented so far. Emphasizes that ...

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

Defines sequences as, well, sequences of numbers. Explains how the limit of a sequence governs the sequence's long-term ...

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

Shows how higher derivatives can be used to obtain more subtle information about a function than what the first derivative ...