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Complex Numbers Full Course: For Class 11- ICSE, CBSE, JEE

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Last Updated:May 29, 2024
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About Course

Dive deep into the fascinating world of complex numbers with our specialized Class 11 Maths course designed to bolster student understanding and competency in this essential mathematical area. This course begins with the basics of complex numbers, ensuring students grasp the fundamental concepts such as real and imaginary components, the complex plane, and the modulus and argument of a complex number.

Students will explore the algebra of complex numbers, including addition, subtraction, multiplication, and division, alongside learning how to solve polynomial equations using complex roots. The course meticulously explains the geometric representation of complex numbers and how this visualization aids in solving complex number problems more intuitively.

As part of the curriculum, students will also delve into advanced topics such as the polar form of complex numbers, Euler’s formula, and applications in solving real-world problems. These topics are crucial for those preparing for competitive exams like JEE, as they form the backbone of higher-level problem-solving in engineering.

Course content is tailored to align with the syllabi of major educational boards in India, including CBSE, ICSE, and various State Boards, ensuring that all students find the material relevant and directly applicable to their studies. The course includes

  • Definitions and Concepts of Complex Numbers
  • Algebraic Operations on Complex Numbers
  • The Complex Plane and Euler’s Identity
  • Polar Form and its Applications
  • Solving Quadratic Equations with Complex Roots
  • Real-world Applications and Problem-Solving Techniques
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What I will learn?

  • Understand the fundamental concepts of complex numbers and their components.
  • Perform algebraic operations with complex numbers and apply these skills in various mathematical contexts.
  • Visualize and represent complex numbers on the complex plane for enhanced understanding and problem-solving.
  • Convert complex numbers between their algebraic and polar forms using Euler's formula.
  • Solve quadratic and higher-order polynomial equations that involve complex roots.
  • Apply knowledge of complex numbers to real-world scenarios and advanced mathematics, preparing for competitive exams like JEE.

Course Curriculum

Complex Numbers
Dive into the fascinating world of complex numbers, an essential concept for Class 11 Maths. This lesson introduces the basics of complex numbers, their algebraic form, and their applications, laying a strong foundation for advanced mathematical concepts and problem solving in JEE preparations.

  • Complex Numbers Introduction
  • Algebra Complex Numbers
  • Square Root of Complex Numbers
  • Cube root of unity

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  • Students should have a basic understanding of algebra and geometry as covered in previous classes.
  • Familiarity with mathematical operations and equations is expected.
  • Curiosity and readiness to explore higher-level mathematical concepts.
  • Access to basic mathematical tools like a calculator that can handle complex numbers is recommended.


Tarique Anwar
Tarique Anwar
Mathematics Instructor
Free access this course

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