Basic concepts of Complex Numbers :Algebra of Complex Number
What you'll learn
- Students will learn complete knowledge of complex numbers.
- Elementary knowledge of algebra and trigonometry
Complex numbers is one of the most important topics of mathematics.This course has been designed in such a way that even a beginner will understand the concepts easily and develop confidence to attempt unsolved exercises.All definitions and formulae have been discussed in detail in lucid manner with suitable examples.
The course is thoughtfully structured and organised. The topics covered are
Introduction and integral powers of iota
Real and imaginary parts of complex numbers & equality of complex numbers
Addition and subtraction of complex numbers and their properties
Multiplication and division of complex numbers & conjugate of complex number and properties
Modulus of complex number and properties
Square root of complex number
Cube root of unity and its properties
Geometrical representation of a complex number
Method of finding argument
Geometrical representation of addition, subtraction, multiplication and division
Properties of argument of a complex number
Exponential form of a complex number (Euler's Formula)
Geometrical Representation of conjugate of a complex number
Distance formula,Internal and External division formula, Equation of Circle
I am sure that this course will be create a strong platform for students for their academic course and those who are planning for appearing in competitive exams and studying higher Mathematics.
You will also get a good support in Q&A section . It is also planned that based on your feed back, new material and more questions will also be added to the course. Hope the course will develop better understanding and boost the self confidence of the students.
Waiting for you inside the course!
Join now !!!
Who this course is for:
- Students pursing class 11th and preparing for competition exams like IIT JEE,NDA etc.
An Engineer by profession, having passion for Mathematics and love for dissemination of knowledge to genuine seekers, Sandeep Kumar Mathur opted to devote his full time in his academic pursuit from 2000 after spending more than 15 years in industry. His keen interest in Mathematics, strong desire for learning and long industrial experience has strengthen his skill of making mathematics more interesting as applied subject. His strong command on basics and field experience of applied mathematics in industry has made it possible for him to make his students understand and solve even the complex problems using simple routes and techniques. He has authored books on mathematics for different categories of students.
Over the last more than 20 years of teaching, Sandeep Kumar has tried to reach the students desirous to learn mathematics, starting from elementary to advanced level, through video lecturing. He has always kept the requirement of his students and followers in mind while preparing his videos and therefore, his lecture series are available both in Hindi and English languages. He has always been interested to reach close to students who have limited resources in interior rural areas, distant places where facilities of teaching are inadequate along with those who are keen to take advanced courses living in any part of the world. He believes in dealing with the specific problem solving of students and wishes to provide all possible support to those who have passion for this subject.