### BC Calculus Winter Packet

### Final Exam Review Keys

### Unit 8 – Integration Applications

**Notes:**

Volumes of Solids with Known Cross Sections

Average Function Value and Mean Value Theorem

**Worksheets:**

Applications of Integration Homework Packet Answer Key

### Unit 7 – Integration Rules

**Notes:**

Long Division and Partial Fractions

Integration – Inverse Trigonometry

**Worksheets:**

Unit 6 – Integration Rules Homework Packet Answers

### Unit 6 – The Meaning of Integration

Notes:

The Fundamental Theorem of Calculus

**Worksheets:**

Meaning of Integration Answer Key

### Midterm Review – Midterm Review – Answer Key

**Unit 5 – Derivative Applications**

**Notes: **

Keeper 24 – Linear Approximation

**Worksheets:**

Unit 5 – Derivative Applications Homework Answers

**Unit 4 – Derivative Rules**

**Notes:**

Keeper 15 – Power and Constant Rule

Keeper 16 – Product and Quotient Rules

Derivatives of Logs and Exponentials

**Worksheets:**

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

**Worksheets:**

Unit 3 – The Meaning of Derivatives Homework Answers

**Unit 2 – Limits**

**Notes:**

Keeper 12 – Finding Limit from Graphs

Keeper 13 – Graphs from Limits

Keeper 16 – Continuous Functions

Keeper 17 – Intermediate Value Theorem

Keeper 18 – Asymptotes and End Behavior

**Worksheet:**

**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!**

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:**

https://www.khanacademy.org/math/algebra/algebra-functions/domain-and-range/e/domain_and_range_0.5

https://www.khanacademy.org/math/algebra/algebra-functions/determining-the-domain-of-a-function/v/domain-of-a-radical-function

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:

https://www.mcckc.edu/tutoring/docs/bt/exp_rad_log/Logarithms_and_Their_Properties.pdf

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

__Great [and Useful] Calculus Websites__Bill Gates loves The Khan Academy Go to: http://www.khanacademy.org

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/

*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/

Mrs. Roberts’ Calc Site: http://www.mrsroberts.com/MrsRoberts/Calculus/calculus.htm

More free video tutorials at: http://patrickjmt.com/