H2 Math - Complex Numbers - Tim Gan Math

Download Lesson Notes

14.1 Introduction to Complex Numbers 7 Questions

Lesson Content

0% Complete 0/7 Steps

Introduction and Recap

14.2 Conjugate Complex Number 1 Question

Lesson Content

0% Complete 0/1 Steps

Conjugate Complex Number

14.2.1 Properties of Conjugate Complex Numbers 6 Questions

Lesson Content

0% Complete 0/6 Steps

14.2.1 Properties of Conjugate Complex Numbers

14.2.1 Properties of Conjugate Complex Numbers Q1

14.2.1 Properties of Conjugate Complex Numbers Q2

14.2.1 Properties of Conjugate Complex Numbers Q4

14.2.1 Properties of Conjugate Complex Numbers Q5

14.2.1 Properties of Conjugate Complex Numbers Q6

14.3 Solving Equations involving Complex Numbers 1 Question

Lesson Content

0% Complete 0/1 Steps

Solving Unknowns in a Complex Equation Q1

14.3.1 Finding Square Roots of Complex Numbers without a Calculator 4 Questions

Lesson Content

0% Complete 0/4 Steps

Finding Square Roots of Complex Numbers without a Calculator Q1

Finding Square Roots of Complex Numbers without a Calculator Q2

Finding Square Roots of Complex Numbers without a Calculator Q3

Finding Square Roots of Complex Numbers without a Calculator Q4

14.3.2 Application of Properties of Complex Conjugates 2 Questions

Lesson Content

0% Complete 0/2 Steps

Application of Properties of Complex Conjugates Q1

Application of Properties of Complex Conjugates Q2

14.3.3 Solving Equations by substitution involving Complex Numbers 2 Questions

Lesson Content

0% Complete 0/2 Steps

Solving Equations by substitution involving Complex Numbers Q1

Solving Equations by substitution involving Complex Numbers Q2

14.4 Theorems in Complex Algebra 1 Question

Lesson Content

0% Complete 0/1 Steps

Theorems in Complex Algebra

14.4.1 Application of Conjugate Roots Theorem 5 Questions

Lesson Content

0% Complete 0/5 Steps

Application of Conjugate Roots Theorem Q1

Application of Conjugate Roots Theorem Q2

Application of Conjugate Roots Theorem Q3

Application of Conjugate Roots Theorem Q4

2017 RI P1 Q9 (a)

14.5 Simultaneous Equations involving Complex Numbers 4 Questions

Lesson Content

0% Complete 0/4 Steps

Simultaneous Equations involving Complex Numbers Q1

2008 PJC P2 Q2 (b)

Simultaneous Equations involving Complex Numbers Q3

2017 MJC P1 Q3

Practice 1 7 Questions

Lesson Content

0% Complete 0/7 Steps

14.6 Finding Roots of Equations with Complex Coefficients 6 Questions

Lesson Content

0% Complete 0/6 Steps

Finding Roots of Equations with Complex Coefficients Q1

2017 JJC P1 Q7 (b)

2017 CJC P2 Q4(b)

Finding Roots of Equations with Complex Coefficients Q3

2017 ACJC P2 Q1

Finding Roots of Equations with Complex Coefficients Q4

14.7 The Argand Diagram 1 Question

Lesson Content

0% Complete 0/1 Steps

The Argand Diagram

14.7.1 The Modulus and Argument of a Complex Number 1 Question

Lesson Content

0% Complete 0/1 Steps

Modulus and Argument of a Complex Number

14.7.2 Geometrical Effects of Algebraic Manipulations on Complex Numbers 3 Questions

Lesson Content

0% Complete 0/3 Steps

Geometrical Effects of Algebraic Manipulations on Complex Numbers

Geometrical Effects of Algebraic Manipulations on Complex Numbers Q1

Geometrical Effects of Algebraic Manipulations on Complex Numbers Q2

14.7.3 Modulus, Argument, and Operations on Complex Numbers 2 Questions

Lesson Content

0% Complete 0/2 Steps

Modulus, Argument, and Operations on Complex Numbers

Modulus, Argument, and Operations on Complex Numbers Q1

14.7.4 Using Complex Numbers to Deduce Trigonometric Values 2 Questions

Lesson Content

0% Complete 0/2 Steps

Using Complex Numbers to Deduce Trigonometric Values Q1

Using Complex Numbers to Deduce Trigonometric Values Q2

Practice 2

Forms of Complex Numbers 9 Questions

Lesson Content

0% Complete 0/9 Steps

Forms of Complex Number Q1

Forms of Complex Number Q3

Forms of Complex Number Q4

Forms of Complex Numbers Q5

Forms of Complex Numbers Q6

Forms of Complex Numbers Q7

Forms of Complex Numbers Q8

N2002 P2 Q2(b)

2017 ACJC P1 Q7(b)

Properties from Exponential or Trigonometric form 8 Questions

Lesson Content

0% Complete 0/8 Steps

Properties from Exponential or Trigonometric form

Properties from Exponential or Trigonometric form Q1

Properties from Exponential or Trigonometric form Q3

Properties from Exponential or Trigonometric form Q4

Properties from Exponential or Trigonometric form Q5

Properties from Exponential or Trigonometric form Q6

Properties from Exponential or Trigonometric form Q8

Properties from Exponential or Trigonometric form Q9

Proving Trigonometric Ratios by Complex Numbers 5 Questions

Lesson Content

0% Complete 0/5 Steps

Proving Trigonometric Ratios by Complex Numbers Q1

Proving Trigonometric Ratios by Complex Numbers Q2

Proving Trigonometric Ratios by Complex Numbers Q3

2013 TJC P1 Q5

2015 CJC P2 Q3

Special Results involving Exponential Forms 7 Questions

Lesson Content

0% Complete 0/7 Steps

Special Results involving Exponential Forms Q1

Special Results involving Exponential Forms Q2

Special Results involving Exponential Forms Q3

Special Results involving Exponential Forms Q4

2009 AJC P1 Q9 [Modified]

Special Results involving Exponential Forms Q5

Special Results involving Exponential Forms Q6

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

Lesson Content

0% Complete 0/10 Steps

Using Argument to Determine The Nature of a Complex Number

2015 SRJC P1 Q11 (b) [Modified]

Using Argument to Determine The Nature of a Complex Number Q1

Using Argument to Determine The Nature of a Complex Number Q2

Using Argument to Determine The Nature of a Complex Number Q3

2015 IJC P2 Q4

N1993 P2 Q12 (a)

2015 TPJC P2 Q3 [Modified]

2015 DHS P1 Q4

2013 MJC P1 Q11

Practice 3

H2 Math – Complex Numbers

Course Content