Concise Modular Calculus 10 97

Visualizes differentiable functions as smooth functions without corners. Justifies why differentiable functions are continuous.

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

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

Explains what

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

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

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

6/6 on Surfaces in 3-D Space) Visualizes the limiting behavior for functions of two variables. Explains how limits of multivariable ...

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 ...

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

Derives the derivatives of the sine function, the cosine function and the tangent function. Shows how the derivatives are used in ...

Introduces infinite series as a vehicle to simulate the "summation of infinitely many numbers." Explains the sum of the geometric ...