Introductory+Calculus

**__Introductory Calculus__** What is calculus? It was developed in the seventeenth century by two different people who had no idea that the other was working on it. Isaac Newton and Gottfried Leibnitz are both given credit for this branch of mathematics which is the study of movement and change. Calculus is now a vital tool in many fields of study such as science, engineering, astronomy, oceanography, space research, economics and sociology. This is a website with information about calculus that you can refer back to at the end of each lesson for more information. Just enter the save code X02A2 on the right to open the website. [|Tale4Students] __**Lesson 1 - Average Gradient**__ Watch this video about the calculus controversy. media type="youtube" key="axZTv5YJssA?rel=0" height="360" width="480" align="center" Open this file and then save it to your laptops for the lesson notes on Exercise 11.1

How is calculus different from algebra? Watch this clip as a class to find out. media type="youtube" key="ismnD_QHKkQ?rel=0" height="390" width="480" __**Lesson 2 - Differentiation From First Principles **__ Open this file and then save it to your laptops for the lesson notes for Exercise 11.2

Watch this tutorial from MathsOnline before attempting the exercise questions. Use your internet username as your login and your first name as the password. [|Differentiation By First Principles] **__Lesson 3 - Rules For Differentiation__** Open this file and then save it to your laptops for the lesson notes on Exercise 11.3 This video shows a step by step example of how to differentiate. <span style="font-family: 'Comic Sans MS',cursive; font-size: 150%;">media type="youtube" key="jj2dnXbNO3E?rel=0" height="360" width="480" <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 150%; text-align: center;">**__Lesson 4 - Gradient at a Point__** <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 20px; text-align: center;">This video explains derivatives and how they are found. <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 20px; text-align: center;">Derivatives <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 150%; text-align: center;">Open this file and then save it to your laptop for the lesson notes on Exercise 11.4 <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 20px; text-align: center;">**__Lesson 5 - Tangents & Normals__** <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 20px; text-align: center;">Open this file and then save it to your laptop for the lesson notes on Exercise 11.5

<span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 20px; text-align: center;">Watch this tutorial from MathsOnline before attempting the exercise questions. Use your internet username as your login and your first name as the password. <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 20px; text-align: center;">[|Tangents & Normals] <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 20px; text-align: center;">**__Lesson 6 - Stationary Points__**  <span style="font-family: 'Comic Sans MS',cursive; font-size: 20px;">Open this file and then save it to your laptop for the lesson notes on Exercise 11.6 <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 20px; text-align: center;"> Watch this tutorial from MathsOnline before attempting the exercise questions. Use your internet username as your login and your first name as the password. <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 20px; text-align: center;">[|Stationary Points] <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 20px; text-align: center;">**__Lesson 7 - Curve Sketching__** <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 20px; text-align: center;">Here is a song about derivatives to watch as a class. media type="youtube" key="i9w_Ar8s5HM" height="345" width="420" align="center"

<span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 20px; text-align: center;">Open this file and then save it to your laptop for the lesson notes on Exercise 11.7 <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 20px; line-height: 29px; text-align: center;">**__Lesson 8 - Maxima & Minima Problems__** <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 20px; line-height: 29px; text-align: center;">Open this file and then save it to your laptop for a worked example on the types of questions in Exercise 11.8 <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 150%; text-align: center;">Watch this tutorial from MathsOnline before attempting the exercise questions. Use your internet username as your login and your first name as the password. <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 150%; text-align: center;">[|Maxima & Minima Problems] <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 150%; text-align: center;">**__Lesson 9 - Continuity & Limits__** <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 150%; text-align: center;">Here is a song about derivatives to view as a class. media type="youtube" key="P9dpTTpjymE?rel=0" height="390" width="640" align="center" <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 150%; text-align: center;">Open this file and save it to your laptop for the lesson notes on Exercise 11.9 <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 150%; text-align: center;">__**Lesson 10 - A Special Limit**__ <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 150%; text-align: center;">Open this file and save it to your laptop for the lesson notes for Exercise 11.10 <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 150%; text-align: center;">Watch this tutorial from MathsOnline before attempting the exercise questions. Use your internet username as your login and your first name as the password. <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 150%; text-align: center;">Limits