Concise Modular Calculus 87 97

Justifies the Lagrange multiplier condition for relative maxima and minima on constraint surfaces. Shows how to use the condition ...

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

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

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

Explains what

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

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

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 ...

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

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