Calculus is that branch of Mathematics that deals with the study of change in the value of a function as the points in the domain change.

1. Functions and Graphs

  1. Intervals
  2. Constants and Variables
  3. Functions
  4. Types of Functions
  5. Quadratic Inequations

2. Limits and Continuity

  1. Limit of a Function
  2. Continuous Functions

3. Differentiation

  1. Concept of Differentiation
  2. Derivative of a Function
  3. Product Rule For Differentiation
  4. Quotient Rule For Differentiation
  5. Derivatives of Composite Function

4. Applications of Differential Calculus

  1. Derivative As Rate Measure
  2. Tangents and Normals: Derivative As Measure Of Slope
  3. Rolle’s Theorem
  4. Lagrange Mean Value Theorem (LMVT)
  5. Indeterminate Forms: L'Hospital's Rule
  6. Increasing and Decreasing Functions
  7. Maximum and Minimum Values
  8. Concavity, Convexity and Points of Inflection
  9. Differentials: Errors and Approximation
  10. Curve Tracing

5. Integral Calculus & Applications

  1. Integration
  2. Integrals of Linear Functions of x
  3. Integration by Partial Fractions
  4. Integration by Substitution
  5. Integration by Parts
  6. Standard Integral Forms
  7. Definite Integrals
  8. Properties of Definite Integrals
  9. Reduction Formulae For Integration
  10. Area of Bounded Regions

6. Differential Equations

  1. Introduction To Differential Equations
  2. Order and Degree of Differential Equation
  3. Formation of Differential Equations
  4. Variable Separable Method
  5. Homogeneous Differential Equation
  6. Linear Differential Equation