• Notation
• Order

Types of Matrix

• Row
• Column
• Square
• Diagonal
• Scalar

• Identity or unit
• Upper triangular
• Lower triangular
• Null or zero

Operation of Matrices

1. 4 operation of matrices
2. Conditions for equality of matrices

1. Numerical – operation of matrices
2. How to find values of different variables

1. Concept of Determinants
2. Applications of Determinants

1. Determinant of an order 1 matrix
2. Determinant of an order 2 matrix
3. Determinant of an order 3 matrix

How to find out determinant of 3×3 order matrix?

1. Explanation of property of determinant
2. Verification
3. Numerical based on the property

(Continued)

1. Explanation of property of determinant
2. Verification
3. Numerical based on the property

(Continued)

• Introduction of Continuity
• Condition of Continuity

• Discontinuity
• Condition of Discontinuity

Types of Discontinuity

• Removable Discontinuity
• Discontinuity of 1st kind
• Discontinuity of 2nd kind

• Problems based on the types of Continuity (Type 1)

• Problems based on the types of Continuity (Type 1)

• Introduction Of application of derivatives

• Introduction to rate of change of quantity

• Problems based on a rate of change of quantity

• Problems based on a rate of change of quantity

• Problems based on a rate of change of quantity

• Introduction of integration
• Definitions
• Constant of integration

• Fundamental integration formulas

• Numericals on integration

• Examples of integration

• Theorems of Integration

• Introduction of differential equation
• Contents

• Introduction to order and degree of a differential equation
• Examples based on order and degree of a differential equation

• R.S. Aggarwal problems based on order & degree of a differential equation

• R.S. Aggarwal problems based on order & degree of a differential equation

• Solution of a differential equation
• General solution of a differential equation
• Particular solution of a differential equation

• Complete introduction about an area of bounded regions
• Area of a curve between two ordinates
• Area of a curve between two abscissa

• Area between two curves
• Important formulas

• Characteristics of Circle
• Characteristics of Parabola
  • Right Hand Parabola
  • Left Hand Parabola
  • Upward Parabola
  • Downward Parabola

Characteristics of Ellipse

• Foci on x-axis
• Foci on y-axis

• Problems based on the area of bounded regions

• Introduction of vector algebra

• Complete explanation about the vector

• Explained types of vectors

• Explained types of vectors

• Explained types of vectors

• Introduction
• Overview of the topics which is to cover in the chapter

• Concept of coordinates of a point in space

• Position vector of a point in space
• Formula for the distance between two-point
• Section Formula

• Direction cosines of a line
• Direction ratios of a line
• Some important facts

• Problems based on Direction Cosines & Ratios.