AP Calculus » Class Notes and Assignments

scribe — Mon, 09 Nov 2009 17:19:49 +0000

We went over the homework problems. Here is a sample:

Went over Trig identities:

Our homework is on page 143 problems 1-35 odds and review Power Rule, Chain Rule, Product Rule, and Quotient Rule for the quiz on thursday.

11-5 Class Notes SK

scribe — Thu, 05 Nov 2009 16:51:11 +0000

Went over homework

Quotient Rule:

identities:

11-3 Class Notes JD

scribe — Tue, 03 Nov 2009 17:14:22 +0000

P. 134 – Product Rule # 1-21 odd as many as needed to be comfortable. No Quiz.

10/20 Class Notes CW

scribe — Tue, 20 Oct 2009 16:37:40 +0000

Derivatives- Displacement, Velocity, Acceleration

Anti- Derivative= integral= undoing the derivative

Parametric Mode
-Can be changed under MODE menu. Click PAR
-Can be used for particle problems to analyze a one or two dimensional motion
-Easier to see if you use the bouncing ball when you graph it
-You can plot displacement, velocity (derivative of displacement), and acceleration (2nd derivative of displacement and derivative of velocity) in this mode just like in function mode
-It’s useful because you can see the motion, unlike in function mode

Derivative of Acceleration= a jerk

Questions of Worksheet
16

Chain Rule

Homework- ON ASSIGNMENT CALENDAR

Class Notes 10/1/09 KB

scribe — Sun, 04 Oct 2009 23:04:48 +0000

finds the slope of the tangent line at f=c

more specific; at a point

use when you have a function and a point

any function at any point

can be used for every problem

as x and x+h get closer, it approaches the slope of the tangent line.

Derivative: Slope of the tangent line.

Find when taking limit of the slope of the secant line

Derivative Worksheet:

2. The answer is -3 because it is the slope of the secant line. Since the equation 9-3x is linear, it has the same slope.

10.

review of limits terminology:

HOMEWORK: limits graded worksheet

Challenge problem due 10/14

work on derivative packet

Major quiz Friday 10/9

9-21 kh

scribe — Tue, 22 Sep 2009 11:35:09 +0000

Quiz Clarifications

Question #1

Continuity (at point c)

Cusp

a cusp is a singular point of the curve.

(http://img.photobucket.com/albums/v48/punkdbaby/limits5.jpg)

NO DERIVATIVE AT A CUSP

Step Discontinuity

(http://www.mathwords.com/s/s_assets/s157.gif)

Removable Discontinuity

Asymptote

NO LIMIT

(http://jwilson.coe.uga.edu/EMT668/EMAT6680.Folders/Barron/Write-ups/Assignment%201/Figure4.gif)

Homework for next class

pg 58-59

23, 27, 31, 37, 41, 49, 55, 57, 65, 67, 70

Class Notes 9/17

scribe — Tue, 22 Sep 2009 10:22:26 +0000

Jake’s Scribe

cevrard3 — Sun, 05 Apr 2009 20:28:16 +0000

scribe5

Class notes 2/6

scribe — Mon, 23 Mar 2009 12:28:56 +0000

Class Notes 3/17/09

scribe — Tue, 17 Mar 2009 22:55:41 +0000

We spent the first part of class talking about the applications of derivatives. It breaks into two different concepts 1. The area under a curve or area between curves and 2. Average volume. We had already gone over the area under curves, but we covered between curves.

With the two functions, find the points of intersection to find the height of the segment that connects them. You then take the definite integral of the upper curve minus the lower. If they switch, you add the second part on to the first still using upper minus lower. Note: if one of your equations is negative, they will just add. E.g. 2- -4=6.

We then worked on the average value.

If given a velocity curve finding the definite integral of v(t)dt from points 1 to 5 gives displacement, and the displacement divided by the time interval gives average velocity. The average is ALWAYS the average value of f(x), or in terms of velocity, average turns into the average velocity.

We then spent a little bit of time reviewing the homework with led to the definite integral of 1/x is the same as the natural log.

We did problem 63 exactly.

We also noted that calc only deals with real numbers.

The homework is the Riemann Sum sheet and the 18 problems in the packet that are due Friday.