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Neil E. Cotter
Associate Professor (Lecturer)
Complex Analysis
Explanations of j (pdf)
Convenient numerical examples
Basic math
Example 1 (pdf)
Example 2 (pdf)
Addition and subtraction
Example | (pdf)
Multiplication
Rationalization
Example 1 | (pdf)
Example 2 | (pdf)
Conjugate
Definition | (pdf)
Example 1 | (pdf)
Example 2 | (pdf)
Example 3 | (pdf)
Magnitude
Example 1 | (pdf)
Phase
Re[]
Example 1 | (pdf)
Example 2 | (pdf)
Im[]
Roots and Powers
Nth roots
example | (pdf)
Nth roots of unity
Powers
example | (pdf)
Rectangular/Polar Forms
Euler's formula (complex exp)
Polar form
Rect<->polar xform right triangle | (pdf)
Example 1 | (pdf)
Example 2 | (pdf)
Example 3 | (pdf)
Phasors (link to Phasors section of Conceptual Tools)
†Zeros
†Poles
†Residues