# 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:**

Click **here** to download the summer work.

**Unit Circle: **

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

**TI Calculator Resources**

Study Cards by the College Board

**Online Resources**

Center of Math - video lectures

Hippocampus - videos and interactive activities

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

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

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

**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

UBC - examples with some interactive visaualizations

**Animation/Interactive**

**Free Online Textbooks**

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