Roots of Polynomials

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Further complex numbers

• Complex conjugates
• Division of a complex number by a complex number
• Argand diagram
• Modulus and argument of a complex number
• Solving quadratic equations with complex roots (complex conjugate pairs)
• Solving cubic equations
• Solving quartic equations

Exam Questions

De Moivres' Theorem

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Proof by induction

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Finite series

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Calculus of inverse trignometric functions

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Hyperbolics functions

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Arc length and area of surface of revolution about the x-axis

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