Calculus

Throughout each unit, a multi-representational approach to calculus will be taken. Concepts will be expressed graphically, numerically, analytically (symbolically), and verbally. Students will learn how to use technology to help solve problems, experiment, interpret results, and support conclusions. Students will also be asked to use logic to explain their reasoning.

Units:

1. Limits

2. Derivatives

3. Derivative Application

4. Derivative Application Word Problems

5. Integral Evaluation

6. Integral Functions

7. Area & Volume

8. Differential Equations & Slope Fields

9. AP Test

Click here to download the summer work.

Unit Circle:

• Blank unit circle - with lines

• Blank unit circle - with no lines

• Completed Unit Circle

• Purchase

Introduction to calculus: Khan video: Newton Leibniz and Usain Bolt : Why we study differential calculus

TI Calculator Resources

• TI-84 Plus Silver Edition Manual

• Evaluating Expressions

• Graphing Problems

• Graphing Inaccuracies Activity

• Study Cards by the College Board

Online Resources

• • Center of Math - video lectures

• • Hippocampus - videos and interactive activities

  • Hollis videos

  • Khan University - videos

  • Highlights of Calculus by High School Courses Developed by MIT

  • UC College Prep - mostly videos

  • Wow Math - online videos, worksheets, and practice tests. Use the links to the left of the page.

  • Jeff Morgan, Department of Mathematics, University of Houston - a collection of online videos

  • Videos from John Griggs

  • Calculus-Help - limited videos tutorials (limits and derivatives)

  • University of Houston, Department of Mathematics

  • Brightstorm

• Websites that will evaluate derivatives or integrals that you type into their textbox:

  • Mathway

• • alphawolfram

• Text based explanations and examples:

  • Paul's Online Math Notes - explanation notes and plenty of examples

  • Visual Calculus - Texted based tutorials, links to other helpful math sites sorted by topic, Drill problems with solutions.

  • SOS math: Calculus - text based explanations and examples

• • http://www.math.ucdavis.edu/~kouba/ProblemsList.html

  • karlscalculus

  • Wikikbooks - Calculus

  • PowerPoints

  • UBC - examples with some interactive visaualizations

• • Pearson - helpful links sorted by chapter and practice problems

• Animation/Interactive

• • http://www.calculus.org/Contributions/animations.html

  • http://www.ies.co.jp/math/java/calc/index.html

  • UBC

• • AP Central Course Home Page

• • U of Arizona Calculus I worksheets

• • U of Arizona Calculus II worksheets

  • Maths Online Gallery

  • Calculus Applets

  • http://mathforum.org/calculus/calculus.html

  • Interactive Mathematics Activities from cut-the-knot

Free Online Textbooks

• FlexBook: CK-12 Calculus (CA DTI3)

• Paul Dawkins

• Elementary Calculus: An Infinitesimal Approach by H Jerome Keisler

• Calculus (CA Textbook) by David Guichard (one file: 2.4MB)

• Calculus (CA Textbook) by Wellesley-Cambridge Press