12 Complex Numbers

LEARNING OUTCOMES

After completion of this chapter, the student should be able to:

  • Express complex numbers in rectangular form, polar form, exponential form, and graphically

  • Convert a complex number from one form to another

  • Perform mathematical operations on complex numbers in rectangular, polar, and exponential forms

  • Add complex numbers graphically

  • Solve algebraic equations involving complex numbers

  • Find nth roots of a complex number using DeMoivre’s theorem

  • Solve application problems involving complex numbers, including the analysis of alternating-current circuits

Among the important areas of research in the mid-nineteenth century was the study of light, which was determined to be a form of electromagnetic radiation. ...

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