The complex numbers are the field C of numbers of the form x+iy, where x and y are real numbers and i is the imaginary unit equal to the square root of -1, sqrt(-1). When a single letter z=x+iy is used to denote a complex number, it is sometimes called an “affix.” In component notation, z=x+iy can be written (x,y).

The complex numbers are the field C of numbers of the form x+ιy, where x and y are real numbers and ι is the imaginary unit equal to the square root of -1, . When a single letter z=x+ιy is used to denote a complex number, it is sometimes called an “affix.” In component notation, z=x+ιy can be written (x,y).

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Complex numbers are useful abstract quantities that can be used in calculations and result in physically meaningful solutions.

Course Curriculum

Introduction
Introduction of Complex Numbers 00:00:00
Algebra of Complex Numbers 00:00:00
Conjugate, Modulus & Argument 00:00:00
Representation of Complex Numbers 00:00:00
Properties of Complex Numbers
Properties of Conjugate, Modulus & Amplitude 00:00:00
Rotation in Complex Plane 00:00:00
Co-ordinate Geometry in Argand Plane
Angle between Lines 00:00:00
Straight Lines & Circles in Complex Plane 00:00:00
Algebra and Geometry in Argand Plane
Demoivre’s Theorem 00:00:00
Cube Roots of Unity 00:00:00
nth roots of Unity 00:00:00
General Locii & Logarithm of Complex Number 00:00:00
Question Bank
Solved Examples 00:00:00
Conceptual Practice Sheet 00:00:00
Level 1 00:00:00
Level 2 00:00:00

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