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Complex Number Become expert in Complex number 0.0 Ankit Kumar Coming Soon Expert Level Hindi Available Batches: 0
₹2000
Expert
Hindi
Interactive Live Learning
Certificate of Completion
Full Life time access to materials

Knowledge & tools are required

  • Students should have a clear knowledge of Basic Mathematics for IIT-JEE and Board exams like Inequality, modulus, interval, number systems!
  • Learners should know basic maths up to 10th standard and will able to perform maths basic operations!
  • Laptop/ Smartphone with a good internet connection!
  • All the required stationery needed to learn math like pencils, erasers, notebooks, etc.!

Who should take this course

  • Students at degree level studying mathematics also use this course to improve their subject knowledge!
  • Students who want to understand Complex Number completely!
  • Students for various Board Exam like- CBSE, ICSE and all other states Board!
  • Students of Class 11th and 12th.!

Learnings

  • You will able to solve problems related to complex number asked in various competitive exams!
  • You will able to understand all the concepts using in this course!
  • you will be familiar with complex number and will perform better in various exams!
  • Students will learn all about Complex Number!
  • Basic about Complex Numbers!
  • Cube root of unity!
  • Geometry in Complex number!
  • Complex Straight line!
  • Complex circle!
  • complex conic section!
  • nth root of unity!

Skills you gain

  • math
  • complex number class 11
  • complex number

Description

Complex numbers, like any other class of numbers, are the result of abstract ideas which turned out to be really useful in our daily lives. Indeed, the complex numbers, though with subtle influence for most people, is extremely important in the fields of Science and Engineering.

 

This course is intended for the online learner who wants to understand the subject starting with basic real numbers Math background. Regardless of the reason you have to learn complex numbers, this course provides easy and step-by-step explanations.

Syllabus

03 Sep Introduction of this Course
Syllabus walk through

preparation tips

05 Sep Basic about complex number
Imaginary unit

complex number and their representation

Real and Imaginary part of complex number

06 Sep Components of Complex Number
Modulus of complex

conjugate of complex number

equality of two complex number

08 Sep Operation on Complex Number
Operation on Complex Number

properties of operations

additive inverse

multiplicative inverse

10 Sep Problem discussion
Some problems on basic complex

geometrical representation of complex number

12 Sep Arguments of Complex number
principal arguments

different types of complex numbers

Arguments related problems

13 Sep Euler's theorem
Euler's theorem

polar form of complex number

Geometrical meaning of conjugate of complex number

properties of conjugate

15 Sep Properties of Modulus of complex number
properties of modulus of a complex number

related examples

related problems discussion

related problems discussion

17 Sep Argument properties
properties of argument of a complex number

problems based on properties of modulus and arguments

suitable examples

19 Sep Demoivre's Theorem 1
Demoivre's Theorem 1 and problems based on this concept.

related problems discussion

20 Sep Demoivre's theorem 2
Demoivre's theorem 2

standard problems related to this theorem

22 Sep Question Bank solution
Discuss Question asked in various exams AIEEE and IIT

Mistakes in Computation problem

questions asked in board exams

24 Sep Cube Root of Unity
Explanation of Cube root of Unity

properties of cube root of unity

important formulas

problems discussion related to cube root of unity

26 Sep Square root of a Complex Number
Derivation of formula of square root of complex numbers

two different methods to find square root of complex number

related problems discussion

27 Sep Geometry in Complex Number
Some standard points of triangle in complex form

Centriod of trinagles

orthocentre, circumcentre and incentre of triangles in complex form

problem based on equilateral triangles

29 Sep Rotation theorem
Rotation Theorem of Complex number

examples related to rotation theorem

related problems discussion

Multiplication of a Vector with exp(i theta or -i* theta)

01 Oct Straight lines in Complex Number
Angle between two line segment in term of Argument

Reduction of equation from Cartesian to Complex Form and Vice-versa

General Equation of Complex Straight line in Complex Form

Real Slope of Complex Straight Line

Equation of Complex Straight Line in Parametric form

Equation of Complex Straight Line in Determinant Format

Co-linearity of Three Given Points

Equation of Parallel or Perpendicular Line to a given Line

Length of Perpendicular of a point from a Complex Straight Line

Complex Slope of Straight line

Relation Between Real slope and Complex Slope

Condition of Parallelism/Perpendicularity in term of Complex Slope

Equation of Perpendicular Bisector in Complex Form

related problems discussion

03 Oct Complex Circle
General Equation of Complex Circle in form of complex Number

Standard Equation of Complex Circle

Equation of Complex Circle for given extremities of Diameter

Condition for Four points to be Con-cyclic in Complex Form

Equation of Complex Circle passing through three given points

Equation of a Tangent to the Complex Circle

04 Oct Conic section in Complex form
Equation of Parabola in Complex Number

Equation of Ellipse in Complex number

Equation of Hyperbola in Complex Number

related problems discussion

06 Oct Question Bank discussion of Complex number
question asked in JEE mains exam

questions asked in JEE Advanced exams

Problems asked in board exams

Instructor Details

Ankit Kumar

Professional Online Teacher
Courses Published
12

Persuing Batchelor of Technology from Indian Institute of Technology Dhanbad, Jharkhand India. Math class was always so frustrating. I’d go to a class, spend hours on homework, and three days later have an “Ah-ha!” moment about how the problems worked that could have slashed my homework time in half. I’d think, “WHY didn’t my teacher just tell me this in the first place?!” So I started tutoring to keep others out of that aggravating, time-sucking cycle. Since then, I’ve recorded tons of videos and written out cheat-sheet style notes and formula sheets to help every math student—from basic middle school classes to advanced college calculus—figure out what’s going on, understand the important concepts, and pass their classes, once and for all. I love to teach mathematics through my unique method of explanation.

Batches

10 Sep - 20 Jan
Timings : 01:00 PM - 02:30 PM

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Discussion Forum

Ramireddy Vinaya
2021-11-06 04:30:02
jhbv
Expert
Hindi
Interactive Live Learning
Certificate of Completion
Full Life time access to materials
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