Understand the concept of limits, continuity, slope of a tangent line, definition of a derivative, rate of change, and derivative of polynomials. Learn and be able to apply the basic rules for finding the derivative. This unit should take no more than 2 weeks to complete.
*All assignments are in Basic Technical Mathematics With Calculus 7th edition by Allyn J. Washington, 2000.
Method of Evaluation:
The unit test will be a pencil and paper quiz taken at your class site. The test will be administered by the instructor or by a proctor. Please see the course schedule for the exact time and date of the unit test.
Understand the concept of continuity and limit.
Note: Function rule is not continuous when the denominator is zero.
Be able to find the slope of a secant line and the slope of a tangent line.
Learn the definition of the derivative and how to use it. Know the different notations for the derivative.
Be able to determine the instantaneous rate of change of a function.
Be able to find the derivative using the basic rules: