Unit Objective
Work with and sketch imaginary and complex numbers; know the basic definitions of imaginary numbers, complex numbers and complex conjugates; find powers of j, and add, subtract, multiply, or divide complex numbers; know exponential, polar and rectangular forms of a complex number. 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 exam given 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
Define the imaginary unit, j, and be able to rewrite powers of j as 1, j, -1, -j. Define complex numbers and conjugates.

• Read 12.1, pages 321-324.
• Complete Work Exercises, pages 324-325 #1-9 odd, 17-24, 25-39 odd, 41, 43, 53.
• Quick Review sheet 5-1.

Objective Two
Be able to add, subtract, multiply, and divide complex numbers.

• Read 12.2, pages 325-327.
• Complete Work Exercises, page 327 #1-9 odd, 13,17,19,21,25,28,29,31,33,39,41.
• Quick Review sheet 5-2.

Objective Three
Graph a complex number in the complex plane.

• Read 12.3, pages 328-329.
• Complete Work Exercises, page 329 #1-4,5,7,9,25,29.
• Quick Review sheet 5-3.

Objective Four
Understand and be able to find the polar form/trigonometric form of a complex number.

• Read 12.4, pages 330-332.
• Complete Work Exercises, page 332 #1-7 odd, 13-23 odd, 29,31,33,38,39.
• Quick Review sheet 5-4.

Objective Five
Understand exponential form of a complex number and be able to convert between polar, rectangular, trigonometric, and exponential representation of a complex number.

• Read 12.5, pages 333-335.
• Complete Work Exercises, page 335 #1-27 odd,33,35.
• Quick Review sheet 5-5.

Worksheets

• Objective 1 Worksheet.
• Objective 2 Worksheet.
• Objective 3 Worksheet.
• Objective 4 Worksheet.
• Objective 5 Worksheet.
• Answers.