Unit Objective:

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.

Objective One

Understand the concept of continuity and limit.

**Note:** Function rule is not continuous when the denominator is zero.

- Read 23.1, pages 628-634.
- Complete Work Exercises 23.1, pages 634-635 #1-19 odd, 23-43 odd.
**Quick Review sheet 1-1**.

Objective Two

Be able to find the slope of a secant line and the slope of a tangent line.

- Read 23.2, pages 636-639.
- Complete Work Exercises 23.2, page 639 #1, 5-15 odd, 25.
**Quick Review sheet 1-2**.

Objective Three

Learn the definition of the derivative and how to use it. Know the different notations for the derivative.

- Read 23.3, pages 640-643.
- Complete Work Exercises 23.3, pages 643-644 #1-19 odd, 25-29 odd.
**Quick Review sheet 1-3**.

Objective Four

Be able to determine the instantaneous rate of change of a function.

- Read 23.4, pages 644-647.
- Complete Work Exercises 23.4, pages 647-648 #3,11,13,21,23,25,29.
**Quick Review sheet 1-4**.

Objective Five

Be able to find the derivative using the basic rules:

a)

b)

c)

d)

- Read 23.5, pages 648-652.
- Complete Work Exercises 23.5, pages 652-653 #1-37 odd, 41,46.
**Quick Review sheet 1-5**.

Unit Review

- Review Exercises, pages 671-673 #1-23 odd, 37,49,55.
- Practice Test, page 673 #1,2,3,8.

Worksheets

- Objective 1 Worksheet.
- Objective 2/3 Worksheet.
- Objective 4 Worksheet.
- Objective 5 Worksheet.
- Answers.