H2 Math – Complex Numbers – Tim Gan Math Online Courses

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 7 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 Q2 – 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 1 Topic

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Pg 6 – Theorems in Complex Algebra

Application of Conjugate Roots Theorem 5 Topics

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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

Pg 8 Q2 – 2017 RI P1 Q9 (a)

Simultaneous Equations involving Complex Numbers 4 Topics

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Pg 8 Q3 – Simultaneous Equations involving Complex Numbers

Pg 9 Q1 – 2008 PJC P2 Q2 (b)

Pg 9 Q2 – Simultaneous Equations involving Complex Numbers

Pg 9 Q3 – 2017 MJC P1 Q3

Practice 1 2 Topics

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Pg 10 Q1 – 2013 DHS P2 Q4

Pg 10 Q3 – 2013 MJC P2 Q1

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 8 Topics

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Pg 14 Q1 – Forms of Complex Number

Pg 14 Q3 – Forms of Complex Number

Pg 14 Q4 – Forms of Complex Number

Pg 15 Q1 – Forms of Complex Numbers

Pg 15 Q2 – Forms of Complex Numbers

Pg 15 Q3 – 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 8 Topics

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Pg 16 – Properties from Exponential or Trigonometric form

Pg 17 Q1 – Properties from Exponential or Trigonometric form

Pg 18 Q1 – Properties from Exponential or Trigonometric form

Pg 18 Q2 – Properties from Exponential or Trigonometric form

Pg 18 Q3 – Properties from Exponential or Trigonometric form

Pg 19 Q2 – Properties from Exponential or Trigonometric form

Pg 19 Q3 – Properties from Exponential or Trigonometric form

Pg 19 Q4 – Properties from Exponential or Trigonometric form

Practice 2

Proving Trigonometric Ratios by Complex Numbers 4 Topics

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Proving Trigonometric Ratios by Complex Numbers Q1

Proving Trigonometric Ratios by Complex Numbers Q2

Proving Trigonometric Ratios by Complex Numbers Q3

Pg 22 – 2013 TJC P1 Q5

Special Results involving Exponential Forms 7 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]

Pg 25 Q1 – Special Results involving Exponential Forms

Pg 25 Q2 – Special Results involving Exponential Forms

Using Argument to Determine The Nature of a Complex Number 10 Topics

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Pg 26 – Using Argument to Determine The Nature of a Complex Number

Pg 26 Q1 – 2015 SRJC P1 Q11 (b) [Modified]

Pg 26 Q2 – Using Argument to Determine The Nature of a Complex Number

Pg 26 Q3 – Using Argument to Determine The Nature of a Complex Number

Pg 26 Q4 – Using Argument to Determine The Nature of a Complex Number

Pg 27 Q1 – 2015 IJC P2 Q4

Pg 27 Q2 – N1993 P2 Q12 (a)

Pg 28 Q1 – 2015 TPJC P2 Q3 [Modified]

Pg 28 Q2 – 2015 DHS P1 Q4

Pg 29 – 2013 MJC P1 Q11

Practice 3

H2 Math – Complex Numbers

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