# Calculus

## Introduction

This page contains resources that may be of interest to students studying Calculus. The number of resources on this page will grow as additional items are developed. You may find that materials provided elsewhere on this site are also of interest to you. If you have any questions or special requests, please contact Earl at earl@mathguy.us.

## TI nSpire CX CAS Handheld

After researching numerous calculators, we have concluded that the TI nSpire CX CAS Handheld provides the greatest advantage to students studying Calculus. For more information about the nSpire and resources devoted to its use, click here.

## Related Handbooks and References

- Algebra and PreCalculus Handbook version 2.9b – Covers two years of Algebra and some Pre-Calculus.
- Trigonometry Handbook version 2.1 – Covers High School Trigonometry.
- 2015 Summer Assignment Study Guide – Study Guide for Damonte Ranch High School Summer 2015 Calculus Assignment.

## Calculus Handbook and Related

- Calculus Handbook version 4.1 – The Calculus Handbook was developed primarily through work with an AP Calculus class, so it contains mostly what those students needed to prepare for the AP Calculus Exam. Additional topics have been added to the handbook as opportunities have arisen.
- Illustration of Different Answers to Integration Problems - Indefinite integration problems often have more than one solution. Two examples are given in this 2-page dopcument.
- Applications to Integration Challenge Problems - Stretch your mind with these challenge problems involving integration.

For more information on the handbooks, including download instructions, go to the Math Handbook page.

## PC Apps

- Algebra (Main) App version 0.8c – Covers topics in Algebra up to and including Pre-Calculus. Many topics, including conic sections, hyperbolic functions, polar coordinates, Euler's Equation and Zeta Functions may be of interest to the Calculus Student.
- Trigonometry App version 0.7g - Covers topics in Trigonometry. This app is limited in scope at the moment, but covers a number of key concepts in its current form.

For more information on the PC Apps, including download instructions, go to the PC Apps page.

## Calculus Problems for DRHS Students (limited access: password required)

Damonte Ranch High School students may click here to access worked out problems for Calculus class. A User ID and Password is required to view these files. To those not attending DRHS, my apologies. I need to respect the propriety of the material developed at the school.

## Calculus AB Multiple Choice - Sample AP Exams and Solutions

The following file contains sample AP Calculus AB multiple choice test questions and solutions to those problems, worked out step by step, developed by the authors of this website.

- AB College Board Sample Multiple Choice Test - Problems and Solutions – This file contains a) sample AP Calculus AB multiple choice test questions provided by the College Board and b) solutions to those problems, worked out step by step, developed by the authors of this website. The test alone, without solutions, is available here from the College Board website.

#### Other sources

- 1969-1998 Sample Multiple Choice Questions - Test questions (AB and BC) from 7 years between 1969 and 1998, provided by the College Board. Document provides 152 pages of questions, followed by answer keys and solutions.
- iLearnMath – A website with over 1,000 multiple choice questions (AB and BC). Correct answers are identified, and some of the tests have step-by-step solutions provided. 2006 and 2008 Sample Tests included.

## Calculus BC Multiple Choice - Sample AP Exams and Solutions

BC College Board Sample Multiple Choice Test - Problems and Solutions – This file contains a) sample AP Calculus BC multiple choice test questions provided by the College Board and b) solutions to those problems, worked out step by step, developed by the authors of this website. The test alone, without solutions, is available here from the College Board website.

#### Other sources

- 1969-1998 Sample Multiple Choice Questions - Test questions (AB and BC) from 7 years between 1969 and 1998, provided by the College Board. Document provides 152 pages of questions, followed by answer keys and solutions.
- iLearnMath – A website with over 1,000 multiple choice questions (AB and BC). Correct answers are identified, and some of the tests have step-by-step solutions provided. 2006 and 2008 Sample Tests included.

## Calculus AB and Calculus BC Free Response - Sample AP Exams

AP Calculus free response questions and solutions for a number of years are provided by the College Board at the links below. Files containing the test questions without solutions are listed under the "Free Response" header on these pages. Files containing the test questions with solutions are listed under the "Scoring Guidelines" header on these pages; these files also indicate what was required in order to score each point on the test.

- Calculus AB Free Response – Free response portion of AP Calculus Test AB
- 2013 Calculus AB Free Response - Problems and Solutions – This file contains actual 2013 AP Calculus AB multiple choice test questions and solutions to those problems, worked out step by step.

- Calculus BC Free Response – Free response portion of AP Calculus Test BC

## Other Resources

The Wolfram MathWorld website is an excellent source for material in many areas of mathematics. In particular, the following links may be helpful to the Calculus Student:

- Wolfram MathWorld – Wolfram MathWorld homepage: a starting point for all things mathematics related
- Derivative Calculator – Returns the derivative of the expression entered (type the word "derivative" followed by the function for which you want the derivative)
- Definite Integral Calculator – Calculates the value of a definite integral with defined limits - from Wolfram. Note: this calculator may have difficulty with certain integrals
- Definite Integral Calculator – Calculates the value of a definite integral with defined limits - from emathhelp.net. Can handle some definite integrals that Wolfram cannot!
- Indefinite Integral Calculator – Returns the indefinite integral of the expression entered
- Slope Field Generator - from MathScoop.com, a very flexible and easy to use slope field generator (the one we use at mathguy.us)
- Slope Field Generator - from Desmos.com, another slope field generator