Real and Complex Numbers

COURSE DESCRIPTION

• Real numbers
  • Set of real numbers
  • Depiction of real numbers on number line
  • Demonstration of a number with terminating and non-terminating decimals on the number line
  • Representation of rational and irrational numbers on number line
  • Exercise 2.1
• Properties of real numbers
  • Properties of real numbers with respect to addition
  • Properties of real numbers with respect to multiplication
  • Properties of equality of real numbers
  • Properties of inequality of real numbers
  • Exercise 2.2
• Radicals and Radicands
  • Concept of radicals and radicals
  • Difference between radical form and exponential form
  • Transformation of an expression given in radical form into exponential form and vice versa
  • Exercise 2.3
• Laws of exponents/indices
  • Base and exponent
  • Applications of laws of exponents
  • Exercise 2.4
• Complex numbers
  • Definition of a complex number
  • Set of complex numbers
  • Conjugate of a complex number
  • Equality of a complex number and its properties
  • Exercise 2.5
• Basic operations on complex numbers
  • Addition
  • Multiplication
  • Subtraction
  • Division
  • Exercise 2.6
• Review exercise 2
• Conceptual overview of all the above topics
• Application and conceptual base quiz of students which consist of short questions, MCQS and Long questions.

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