complex numbers

• The presentation of your answers matters a lot – you must explain what you are doing and you must use proper mathematical notation (as used in texts, notes etc). Just writing an answer without working is not enough.

Guidelines for submitted work

• This is an academic assignment so it must be referenced. Include a Reference list at the end of your assignment. You must cite all the different authors from different sources (books, journals, electronic). Please do not use Wikipedia or other such non-refereed sources.

• Start each new question on a new page.

• Conduct a spell check yourself and ensure you have a critical friend read and comment on your English usage, grammar, punctuation and other technical issues.

• Please use Microsoft Word Equation to express any mathematical formulas needed, and Microsoft Word to write the assignment or similar software.

• You may use graphical or drawing software to show your graphs.

• Please use size 12 font for any written work.

• Leave a wide margin on the left for feedback comments from your teachers.

What is plagiarism

Plagiarism is when you copy someone else’s answers. Even if you make slight changes in symbols it is still plagiarism. Plagiarism is cheating and is wrong. If it is detected all the people whose answers are extremely similar will get zero marks for the questions involved.

It is a good idea to discuss problems with other people. It is often helpful to work in study groups, but you must write up your answers by yourself and your examples must be unique. Any similarities identified with TURNITIN will be investigated and penalties will be applied.

Complex Numbers Assignment

You have been hired to write an introduction to the section on Complex Numbers for the Project “ Mathematics 1B Text Book ”.

PART 1

Give a brief account of the HISTORY of Complex Numbers. A minimum of one paragraph fully referenced is required. Names that you must mention in your paragraph are: Cardano, Tartaglia, Descartes, Euler, Argand and Rowan Hamilton

PART 2

• Use your own examples to explain De Moivre’s Theorem .

• Explain how to find the n th roots of a complex number you have made up, that is:

= ± ℎ ≠ 0 ≠ 0 ≥ 3

• Explain how to solve an integral you have made up and using De Moivre’s Theorem.

Performance Objectives:

Know:

Where and how complex numbers were invented and why. Calculate roots of complex numbers.

Solve integrals using complex numbers.

Do:

Analyze and describe the geometry of complex numbers Perform mathematical operations with complex numbers

Show how complex numbers solve real-world problems Browse and search the Internet

Create electronic documents using graphics Cite sources within documents appropriately