The first course in a three-semester sequence covering basic calculus of real variables, Calculus A introduces the concept of limit and applies it to the definition of derivative and integral of a function of one variable. The rules of differentiation and properties of the integral are emphasized, as well as applications of the derivative and integral. This course will usually include an introduction to the transcendental functions and some use of a computer algebra system.
Here are a few links to help you students when you reach the "optimization" section of Calc A.
Limits can be super tricky to understand in an introductory Calculus course, so here is a video introducing the idea. Lower on the page to the left, you will find more resources on working with limits.
Here's Sal showing us the Product Rule
A very basic yet powerful rule from Calculus A, here's Khan explaining it as only he can.
An introduction to Indefinite Integration
Ah, what could be more appealing than getting MIT quality education for free? MMMM, nothing! Lecture 1 covers derivatives, slope, velocity and rate of change. The yellow text box to the right contains links for further lectures from MIT.
Sir Issac Newton
Who's the Real Founder of Calculus?
Gottfried Wilhelm Leibniz
