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).

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 |

### Course Reviews

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