Exploration of slopes of secant lines and tangent lines. The average and instantaneous rate of change is calculated with the difference quotient.Day 1 is an independent activity located here:

Euler's Method (BC only)

Apr 16th, 2014 35m 44s

Euler's method to approximate the value of a function given a differential equation and initial point is explored.

10.5 (BC only) Integral Test for Convergence

Apr 9th, 2014 26m 41s

We explore the integral test to determine convergence. The harmonic series is revisited.

10.4 (BC only) Convergence and Polar functions

Apr 7th, 2014 57m 50s

We explore the comparison test and the ratio test to determine convergence. The area inside polar functions is also explored as well as their slopes.

10.3 (BC only) Taylor Polynomials and error bound

Mar 26th, 2014 52m 34s

We explore the error bound for Taylor polynomials.

10.2 (BC only) Taylor Polynomials day 2

Mar 20th, 2014 15m 57s

We explore creating Taylor polynomials. We also center them at other values and create new polynomials from given ones.

10.2 (BC only) Taylor Polynomials

Mar 19th, 2014 44m 21s

We explore creating Taylor polynomials. We also center them at other values and create new polynomials from given ones.

8.5 day 2 Work from pumping

Mar 18th, 2014 16m 39s

Work done drinking a milk shake

8.5 day 1 Work done lifting a leaky bucket

Mar 17th, 2014 44m 54s

Some example problems involving force and work. Lifting a leaky bucket and pumping to fill a tank.

10.1 (BC only) Power Series

Mar 5th, 2014 45m 35s

We explore geometric series. We create new power series from known ones by differentiation and integration. The power series for e^x is explored. We also write pi as an infinite series produced by integrating term by term of a problem produc

8.3 day 3 volumes of revolution

Mar 4th, 2014 20m 33s

An example of the shell method

8.3 day 2 volumes of revolution

Mar 4th, 2014 35m 9s

Methods of disks and washers are explored in calculating the volume of a solid. Revolution around a line not an axis is explored. Shell method introduced.

9.4 (BC only) Day 2 Improper Integrals

Feb 28th, 2014 53m 13s

This lesson focuses upon evaluating improper integrals using limits. Using length of the curve, we show that the circumference of a circle of radius pi is 2*pi*r

8.3 day 1 volumes of revolution

Feb 27th, 2014 45m 1s

Methods of disks and washers are explored in calculating the volume of a solid.

9.4 (BC only) Improper Integrals

Feb 26th, 2014 53m 13s

This lesson focuses upon evaluating improper integrals using limits. L'Hospital's rule is also discussed.

8.2 area between 2 curves Day 2

Feb 25th, 2014 33m 22s

Several problems are explored finding the area between two curves. Integrating with respect to y is explored as well.

8.2 area between 2 curves Day 1

Feb 24th, 2014 21m 31s

Several problems are explored finding the area between two curves.

9.1 (BC only) Sequences

Feb 21st, 2014 32m 57s

This lesson focuses upon sequences. It looks at a formal definition for the limit of a sequence.

8.1 integral as net change

Feb 19th, 2014 41m 51s

Focus upon real life problems and the integral as the net change. Force, Work, Acceleration, Velocity are tied together. Units are discussed. A problem with electricity and Hooke's Law

8.4 (BC only) Length of a curve

Feb 19th, 2014 42m 18s

This lesson focuses upon finding the length of a curve as a function of x and a function of y.

11.1 and 11.2 (BC only) Partial Fraction Decomposition

Feb 14th, 2014 34m 2s

This lesson focuses upon parametric functions and their first and second derivatives.

7.5 (BC only) Partial Fraction Decomposition

Feb 11th, 2014 43m 8s

This lesson focuses upon looking at several examples of partial fraction decomposition.

7.4 Newton's law of cooling and solving a separable differential equation.

Feb 10th, 2014 40m 34s

This lesson focuses upon developing the exponential function A=Pe^(rt) from a separable differential equation. Next Newton's Law of cooling is explored.