Concise Modular Calculus 51 97

Explains how the central limit theorem governs the probabilistic behavior of sample averages of large enough samples. Shows ...

Incorporates major concepts of

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

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

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

(3/3 Connecting Data & Theory) Explains how confidence intervals give a range for an unknown parameter so that we have a ...

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

Visually illustrates the typical ways in which limits are used: Divisions by zero, defining derivatives, defining integrals and ...

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

Explains what

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

Presents the derivative form of the fundamental theorem of

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