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.
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.
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.
Graph a complex number in the complex plane.
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.
Understand exponential form of a complex number and be able to convert between polar, rectangular, trigonometric, and exponential representation of a complex number.
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