Complex numbers: Represent complex numbers in a form appropriate to the context
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Subject outcome
Subject outcome 1.1: Represent complex numbers in a form appropriate to the context
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Learning outcomes
- Write imaginary numbers in their simplest form where [latex]\scriptsize {{i}^{2}}=-1[/latex].
- Simplify negative roots into imaginary numbers.
- Simplify and perform addition, subtraction, multiplication and division on imaginary numbers.
- Construct Argand diagrams to find and represent the modulus and positive argument.
- Represent complex numbers in polar form with positive argument.
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Unit 1 outcomes
By the end of this unit you will be able to:
- Define imaginary numbers.
- Perform basic operations on imaginary numbers.
- Define complex numbers.
- Represent complex numbers in standard rectangular coordinate form.
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Unit 2 outcomes
By the end of this unit you will be able to:
- Represent complex numbers using an Argand diagram.
- Find the modulus and argument of a complex number [latex]\scriptsize {{i}^{2}}=-1[/latex].
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Unit 3 outcomes
By the end of this unit you will be able to:
- Express complex numbers in polar form.
- Convert complex numbers from standard/rectangular form to polar form.
- Convert complex numbers from polar form to standard/rectangular form.