Concise Modular Calculus 81 97

(1/4 on Differentiation of Multivariable Functions) Explains partial derivatives as derivatives of a function's traces. Notes that partial ...

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

(2/4 on Differentiation of Multivariable Functions) Derives the multivariable chain rule. Shows how to apply it to compute ...

Explains what

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

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

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

Sketches the graph of a normal distribution with mean mu and standard deviation sigma. Note: Sigma is positive throughout.

(3/4 on Differentiation of Multivariable Functions) Explains directional derivatives as derivatives in the direction of a given vector.

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

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

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

Introduces integration by parts as the reversal of the product rule. Illustrates integration by parts as a process that can be used in ...