COMPLEX NUMBERS
Complex numbers and their operations
- Define complex numbers
- Represent complex numbers algebraically
- Calculate modulus and argument of a complex number
- Find the complex conjugate of a complex number
- Perform operations on complex numbers
- Solve equations with complex number solutions
Polar form of complex number
- Write a complex number in a polar form represent complex number in polar form on the argand diagram
- Describe loci of the complex number expression
De moivre’s theorem
- State and prove DeMoivre theorem
- Apply the theorem to find nth roots of a complex number
- Prove identities and simplify expression using the theorem
Euler’s formula
- Deduce Euler's formula
- Apply the formula to prove identities , simplify expression