Calculus I Review
A series of calculus lectures.
Calculus I in 20 Minutes
The Two Questions of Calculus:
- How do you find instantaneous rates of change (velocities)?
- How do you find the areas (or volumes) of exotic shapes?
Understand Calculus in 35 Minutes
This video makes an attempt to teach the fundamentals of calculus 1 such as limits, derivatives, and integration. It explains how to evaluate a function using limits, how to find the slope of the tangent line using derivatives and the limit definition of a derivative as well as to perform basic integration techniques to calculate the area under the curve.
Example:
- Consider the function A(t) = 0.01t2 + 0.5t + 100 whuch represents the amount of water (gallons) in a tank at any time t (minutes).
(a) Calculate the amount of water at t = 0.9, 10, 11 and 20 min.
(b) How fast is the amount of water changing in the tank at t = 10 min? - The rate of water flowing in a tank can be represented by the function R(t) = 0,5t + 20 where R(t) represents the number of gallons of water flowing per minute and t is the time in minutes. How much water will accumulate in the tank from t = 20 to t = 100 min?
Try out our new and fun Fraction Concoction Game.
Add and subtract fractions to make exciting fraction concoctions following a recipe. There are four levels of difficulty: Easy, medium, hard and insane. Practice the basics of fraction addition and subtraction or challenge yourself with the insane level.
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