Cambridge Mathematics IGCSE (US) Additional - Number and Algebra

Cambridge Mathematics IGCSE (US) Additional – Number and Algebra

1.1 Complex Numbers
1.2 Exponents
1.3 Radicals
1.4 Matrices
1.5 Polynomials

67 Lessons

Course Materials


Negative Discriminant and Imaginary Numbers

Introduction to Complex Numbers

Operations with Complex Numbers

Equality of Complex Numbers

Complex Conjugates

Conjugates and Division of Complex Numbers

Properties of Conjugates

Square Roots of Complex Numbers

2-D Vectors


Complex Number Plane or Argand Diagram

Complex Factors of Polynomials

Factorizing using Complex Numbers

Equations over Complex Number Field

Connection to Coordinate Geometry

Modulus-Argument (Polar) Form

Properties of Argument

Conversion between Cartesian and Polar Forms


Powers and Bases

Multiplication using Exponents

Division using Exponents

Zero Index

Raising a Power to Another Power

Negative Exponents

Rational Exponents

Complicated Exponent Laws

Algebraic Expansion with Exponents

Algebraic Factorization with Exponents


Exponential Equations

Definition of Radicals

Simplifying Radicals

Addition and Subtraction of Radicals

Multiplication of Surds

Division of Surds

Distribution Laws of Radicals

Rationalizing Denominators

Rationalizing Denominators using Conjugate Pairs

Equality of Radicals

Equations involgin Radicals


Matrix Structure

Matrix Operations and Definitions

Matrix Algebra

Matrix Multiplication

Properties of Matrix Multiplication

Identity Matrix


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