Concise Modular Calculus 43 97

Illustrates the influence of probability in discrete games of chance. Introduces the ideas for probability functions and expected ...

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

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

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

Explains continuous random variables. Justifies probability density functions by connecting the probability of events to probability ...

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

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

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

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

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

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

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