This document provides an introduction to a calculus lesson. It begins by establishing ground rules for participation and introduces the instructor. It then provides a brief history of calculus, noting its invention by Isaac Newton and Gottfried Leibniz. It asks students to define calculus and consider where it is used. The document outlines that the lesson will cover functions, limits, and derivatives, and how students will apply these concepts to model changes through projects. It aims to teach students how to take derivatives of polynomials by the end of the class.

1. CALCULUS
LESSON 1

2. GROUND RULES
• Raise your hand before you ask a question or respond to another
students comment.

3. GROUND RULES
• Be encouraging to your other classmates.

4. LET’S INTRODUCE OURSELVES TO EACH OTHER
1. What’s your name?
2. Why are you taking this class?
3. What do you do for fun?

5. WHAT DO I DO?
• I am a PhD student at Rutger
University - Newark
• I do research into how
conductive the ground is…
I shoot laser beams into….just
kidding
• But I do shoot electromagnetic
waves into the ground to better
understand what’s under the
ground

7. A LIL HISTORY
• Isaac Newton changed the
world when he invented
Calculus in 1665.
• Newton accomplished this at
the age of 26 is simply
astonishing.
• Calculus has uses in physics,
chemistry, biology, economics,
pure mathematics, all branches
of engineering, and more.

8. WHAT IS CALCULUS
• Take out a piece of paper and answer these questions:
1. What do you think calculus is?
2. Where is calculus used (in science, business, or cupcakes)?

9. OR DID HE…
Buh bum buuhhhhhhhh!!!!!
Yes, he did invent calculus

10. A LIL HISTORY
• Gottfried Wilhelm von Leibniz was a
prominent German and one of the most
important logicians, mathematicians and
natural philosophers of the
Enlightenment.
• He discovered calculus just like Newton
did.
• He was an inventor. He created all types
of calculators!
• He loved philosophy
• He wrote in several languages, but
primarily in Latin, French and German as
well as English, Italian and Dutch.

11. WHAT IS CALCULUS
• Calculus describes how things
changes instantaneously
• Yep, that’s it. Class is over…
• Just kidding

12. WHAT TYPES OF THINGS CHANGE
• Use that same piece of paper and
write down something that changes.
• An example is speed of a car.
Your mom or dad will stop at a red
light. Then, change their speed to the
allowed speed limit.
• Another example is how much a rocket
ship weighs.
A rocket ship burns fuel to go higher in
the sky. After all the fuel is burned, the
rocket weighs less.

13. WHERE IS CALCULUS USED
PHYSICS

14. WHERE IS CALCULUS USED
BUSINESS

15. WHERE IS CALCULUS USED
OTHER BRANCHES OF
SCIENCE

16. ENVIRONMENTAL SCIENCES USES CALCULUS

17. THE PLAN
• What are functions
• What happens when things go on for a very long long long long long
long long long long long time…whew
• What happens when these functions change….using calculus we will
answer that very question.
• We will conduct projects that we can record the ‘changes’ and talk about
it through calculus
• By the end of the class, every student will be able to take derivatives of a
polynomial!!!! Whhaaaaa is a polynomial and derivative…..
• Don’t freak out