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Complex Numbers
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H2 Math Pure Math
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H2 Math – Complex Numbers
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Complex Number
7 Topics
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Introduction and Recap
Pg 1 Q1 – Complex Numbers
Pg 1 Q2 – Complex Number
Pg 1 Q3 – Complex Number
Pg 1 Q4 – Complex Number
Pg 1 Q5 – Complex Number
Pg 1 Q6 – Complex Number
Conjugate Complex Number
6 Topics
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Pg 2 – Conjugate Complex Number
Pg 2 – Properties of Conjugate Complex Numbers
Pg 2 Q1 – Properties of Conjugate Complex Numbers
Pg 2 Q4 – Properties of Conjugate Complex Numbers
Pg 2 Q5 – Properties of Conjugate Complex Numbers
Pg 2 Q6 – Properties of Conjugate Complex Numbers
Solving Unknowns in a Complex Equation
1 Topic
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Pg 3 Q1 – Solving Unknowns in a Complex Equation
Finding the Square Roots of a Complex Number Without GC
4 Topics
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Pg 3 Q3 – Finding the Square Roots of a Complex Number Without GC
Pg 3 Q4 – Finding the Square Roots of a Complex Number Without GC
Pg 4 Q1 -Finding the Square Roots of a Complex Number Without GC
Pg 4 Q2 -Finding the Square Roots of a Complex Number Without GC
Application of Properties of Complex Conjugates
2 Topics
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Pg 4 Q3 – Application of Properties of Complex Conjugates
Pg 5 Q1 – Application of Properties of Complex Conjugates
Solving Equations by Substitution
2 Topics
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Pg 5 Q2 – Solving Equations by Substitution
Pg 5 Q3 – Solving Equations by Substitution
Theorems in Complex Algebra
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Pg 6 – Theorems in Complex Algebra
Application of Conjugate Roots Theorem
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Pg 6 Q1 – Application of Conjugate Roots Theorem
Pg 7 Q1 – Application of Properties of Complex Conjugates
Pg 7 Q2 – Application of Properties of Complex Conjugates
Pg 7 Q3 – Application of Properties of Complex Conjugates
Simultaneous Equations involving Complex Numbers
2 Topics
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Pg 8 Q3 – Simultaneous Equations involving Complex Numbers
Pg 9 Q1 – 2008 PJC P2 Q2 (b)
Practice 1
Solving Polynomial Equations with Complex Coefficients
5 Topics
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Pg 11 Q1 – Solving Polynomial Equations with Complex Coefficients
Pg 11 Q2 – 2017 JJC P1 Q7 (b)
Pg 11 Q3 – 2017 CJC P2 Q4(b)
Pg 12 Q1 – Solving Polynomial Equations with Complex Coefficients
Pg 12 Q2 – 2017 ACJC P2 Q1
Modulus and Argument of a Complex Number
7 Topics
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Pg 13 – Modulus and Argument of a Complex Number
Pg 13 Q1 – Modulus and Argument of a Complex Number
Pg 13 Q2 – Modulus and Argument of a Complex Number
Pg 13 Q3 – Modulus and Argument of a Complex Number
Pg 13 Q4 – Modulus and Argument of a Complex Number
Pg 13 Q5 – Modulus and Argument of a Complex Number
Pg 13 Q6 – Modulus and Argument of a Complex Number
Forms of Complex Numbers
6 Topics
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Pg 14 Q1 – Forms of Complex Number
Pg 14 Q3 – Forms of Complex Number
Pg 15 Q1 – Forms of Complex Numbers
Pg 15 Q2 – Forms of Complex Numbers
Pg 15 Q4 – N2002 P2 Q2(b)
Pg 16 Q2 – 2017 ACJC P1 Q7(b)
Properties from Exponential or Trigonometric form
3 Topics
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Pg 16 – Properties from Exponential or Trigonometric form
Pg 17 Q1 – Properties from Exponential or Trigonometric form
Pg 18 Q2 – Properties from Exponential or Trigonometric form
Practice 2
Proving Trigonometric Rations by Complex Numbers
1 Topic
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Pg 21 Q1 – Proving Trigonometric Rations by Complex Numbers
Special Results involving Exponential Forms
5 Topics
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Pg 24 Q1 – Special Results involving Exponential Forms
Pg 24 Q2 – Special Results involving Exponential Forms
Pg 24 Q3 – Special Results involving Exponential Forms
Pg 24 Q4 – Special Results involving Exponential Forms
Pg 24 Q5 – 2009 AJC P1 Q9 [Modified]
Using Argument to Determine The Nature of a Complex Number
Practice 3
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56 Topics
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