Concise Modular Calculus 55 97

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

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

Explains what

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

Introduces power series as a way to represent functions. Explains the radius of convergence, the algebra, derivatives and ...

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

Shows how higher derivatives can be used to obtain more subtle information about a function than what the first derivative ...

Demonstrates why the Intermediate Value Theorem should be true. Uses the Intermediate Value Theorem to determine the signs ...

Presents the derivative form of the fundamental theorem of

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

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

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

Introduces the alternating series test and the limit comparison test. Shows how, for the partial sums of certain series, to estimate ...