Functions and Limits

COURSE DESCRIPTION

• Function
  • Definition
  • Notation and value of function
  • Graphs of algebraic functions
  • Graph of function defined piece –wise
• Types of functions
  • Algebraic functions
  • Trigonometric functions
  • Inverse trigonometric functions
  • Exponential function
  • Logarithmic function
  • Hyperbolic functions
  • Inverse hyperbolic functions
  • Explicit function
  • Implicit function
  • Parametric function
  • Even function
  • Odd function
• Composition of functions and inverse of a function
  • Composition of functions
  • Inverse of function
  • Algebraic method to find the inverse function
• Limit of a function and theorems on limits
  • Meaning of the phrase “x approaches zero”
  • Meaning of the phrase “x approaches infinity”
  • Meaning of the phrase “x approaches a”
  • Limit of function
• Theorems on limits of functions
• Limits of important functions
  • Limit at infinity
  • Method for evaluating the limits at infinity
  • The sandwich theorem
• Continuous and discontinuous functions
  • One-sided limits
  • Criterion for existence of limit of a function
  • Continuity of a function at a number
• Graphs
  • Graph of exponential function
  • Graph of common logarithmic function
  • Graph of natural logarithmic function
  • Graph of implicit function
  • Graph of parametric equations
  • Graphs of discontinuous functions
  • Graphical solution of the equations
• Conceptual overview of all the above topics
• Application and conceptual base quiz of students which consist of short questions, MCQS and Long questions.

CLICK HERE to match your availability with the available instructor and book the one-to-one class.