# AP Calculus AB

### BC Calculus Winter Packet

AP Calculus BC Summer Packet

### Final Exam Review Keys

Final Exam Review

Final Exam Review 4

Final Exam Review 3

Final Exam Review 2

### Unit 8 – Integration Applications Notes:

Volumes of Revolution

Volumes of Solids with Known Cross Sections

Differential Equations

Average Function Value and Mean Value Theorem

Area Between Two Curves

Exponential Growth and Decay

Worksheets:

Applications of Integration Homework Packet Answer Key

### Unit 7 – Integration Rules Notes:

Long Division and Partial Fractions

Integration by Parts

Trigonometric Integrals

Integration – Inverse Trigonometry

The Substitution Rule

Worksheets:

Unit 6 – Integration Rules Homework Packet Answers

### Unit 6 – The Meaning of Integration Notes:

Riemann Sums

Riemann Sum to an Integral

Indefinite Integration

Slope Fields

The Fundamental Theorem of Calculus

Worksheets:

Meaning of Integration Answer Key

### Unit 5 – Derivative Applications Notes:

Keeper 24 – Linear Approximation

Related Rates Day 1

Related Rates Day 2

Related Rates Day 3

Maximums and Minimums

Optimization

Interpreting Graphs

Mean Value Theorem

Worksheets:

Unit 5 – Derivative Applications Homework Answers

### Unit 4 – Derivative Rules Notes:

Keeper 15 – Power and Constant Rule

Keeper 16 – Product and Quotient Rules

Logarithmic Differentiation

Derivatives of Logs and Exponentials

The Chain Rule

Derivatives of Trig Functions

Derivatives of Inverses

Implicit Differentiation

Worksheets:

Unit 4 – Derivative Rules

Hoya Block Derivatives Practice Worksheet

### Unit 3 – The Meaning of the Derivative Notes:

Keeper 11 – Tangents, Velocities and Other Rates of Change

Keeper 12 – The Derivative as a Function

Keeper 13 – Curve Sketching

Worksheets:

Unit 3 – The Meaning of Derivatives Homework Answers

### Unit 2 – Limits Unit 2 – Unit Plan

Notes:

Keeper 12 – Finding Limit from Graphs

Keeper 13 – Graphs from Limits

Keeper 14 – One-Sided Limits

Keeper 15 – Algebraic Limits

Keeper 16 – Continuous Functions

Keeper 17 – Intermediate Value Theorem

Keeper 18 – Asymptotes and End Behavior

Keeper 19 – Infinite Limits

Worksheet:

Unit 2 Homework Answer Keys

### Unit 1 – Pre-Calculus Unit 1 – Pre-Calculus Unit Plan

#### Notes:

Lesson 1 – Equations of Lines, Piecewise and Transformations

Lesson 2 – Domain Rules and e ln Transformations

Lesson 3 – Trig, Inverse, Solving Trig Equations

Lesson 4 – Exponentials and Logarithms

Lesson 5 – Solving Inequalities

#### Worksheets:

Unit 1 – Pre-Calculus Homework Answer Key

Welcome to AP Calculus!

AP Calculus AB Syllabus

There are some websites that do a great job with extra practice and/or if you need added reinforcement of concepts.  Paul’s Online Notes, Kahn Academy and AP Central all offer tutorials for many concepts.

#### Helpful Pre-Calculus websites:

http://www.mesacc.edu/~scotz47781/mat120/notes/rational/domain/domain_of_rational_practice.html

http://www.beatthegmat.com/critical-points-method-for-inequalities-explained-useful-t110450.html

http://www.sosmath.com/algebra/solve/solve0/solvtrig.html:

http://dl.uncw.edu/digilib/mathematics/algebra/mat111hb/eandl/equations/equations.html

Great [and Useful] Calculus Websites
Mr. Robb has a great website with videos, practice tests with solutions, and notes.  Go to:  http://www.wowmath.org/Calculus/CalculusHome.html

Bill Gates loves The Khan Academy Go to:  http://www.khanacademy.org

Mr. Balzarini’s Youtube Math has tons of Pre-Calculus and Calculus lectures.  Go to:  http://www.youtube.com/user/ebalzarini#p/c/986560CD1E2A2981

Lin McMullin’s video tutorials for how to do the most common AP-type free response questions Go to:  http://apcalculusnmsi.wikispaces.com/Calculus+Type+Problems

Here is an AP Calculus wiki which is run by students.  [So be carefuly about content]  It is called AP Chatulus.  Go to:  http://hkiscalc.wetpaint.com/

Looking for the applications of Calculus?  go to:  http://www.youtube.com/view_play_list?p=BB0A643D5DF008FE

More free video tutorials from Mr. Robb in California- go to:  http://www2.visalia.k12.ca.us/eldiamante/teachers/brobb/Calculus/CalculusNotes.html

Here is a website with FREE video tutorials.  Go to:  http://www.mathtv.com

Another website with FREE video tutorials.  Go to:  http://hippocampus.org/Calculus

Here is a link to video lectures from a Princeton Calculus class.  The prof has a cute accent!  Go to:  http://press.princeton.edu/video/banner/

An interactive Calculus page with great notes and examples at:  http://www.intmath.com/

Cursor down and click on #4 “Calculus Cheat Sheet”  at:  http://math-blog.com/2008/09/20/13-useful-math-cheat-sheets/

I’ll be darned if there aren’t free Calculus Cliff Notes at:  http://www.cliffsnotes.com/WileyCDA/CliffsReviewTopic/Calculus.topicArticleId-39909.html
For some cool flashcards of Calculus Facts and Common Calculus Mistakes go to:  http://mathmistakes.info/

I found a great website with video clips of most of the important stuff in Calc AB!  Go to:  http://www.math.dartmouth.edu/~calcsite/video1.html

Rocket scientists on call!   Go to:  http://www.midnighttutor.com/

For some great animated tutorials see Michael’s Kelley’s website:  http://www.calculus-help.com/

Free Video tutorials at:  http://www.brightstorm.com/math/calculus
More free video tutorials at:  http://patrickjmt.com/