Concise Modular Calculus 55b 97

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

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

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 ...

Presents the derivative form of the fundamental theorem of

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

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

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

Justifies the antiderivative form of the fundamental theorem of

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

Explains what

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

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