Course Curriculum

• Matrices and Determinants

  • Introduction to Matrices

    47 min
  • Introduction to Matrices – ICE 1
    20 min
  • Introduction to Matrices – HA 1
  • Multiplication of Matrices, Transpose of a Matrix, Symmetric and Skew symmetric Matrix
    33 min
  • Multiplication of Matrices and Matrix Transpose – ICE 2
    25 min
  • Multiplication of Matrices and Matrix Transpose – HA 2
  • Questions on nth power of Matrix (From Miscellaneous Exercise of Chapter 3 Matrices)
    20 min
  • Invertible Matrix, Inverse of a Matrix using Elementary Operations
    47 min
  • Determinants, Its Representation and Expansion of Determinants, Properties of Determinants
    48 min
  • Determinant and Properties of Determinant: ICE 1
    31 min
  • Determinant and Properties of Determinant: Worksheet – ICE 1 and HA 1
  • Determinant and Properties of Determinant: Solutions – ICE 1 and HA 1
  • Use of Determinants in Coordinate Geometry, Adjoint of a Matrix and Inverse Matrix using Adjoint
    40 min
  • Matrices: NCERT FingerTips
  • Determinants: NCERT FingerTips
  • Discussion of ICE on Adjoint of Matrix and Inverse Matrix using Adjoint
    33 min
  • System of linear equation (Matrix Method)
    22 min
  • Discussion of ICE on System of Linear Equations
    30 min

• Relations and Functions

  • Relations and Types of Relations.
    32 min
  • Discussion of ICE 1 Relations and Types of Relations

    36 min
  • Discussion of ICE 1(part 2) Relations and types of relations

    35 min
  • Worksheet 1
  • Types of Functions
    34 min
  • Worksheet 2
  • Discussion ICE 2 on Types of Function

    38 min
  • Composition of Functions
    12 min
  • Discussion of ICE 3 on Composition of Functions

    33 min
  • Inverse of a Function
    17 min

• Inverse Trigonometric Functions

  • Defining Inverse Trigonometric Functions

    28 min
  • ICE Discussion on defining inverse trigonometric functions.

    09 min
  • Properties of Inverse Trigonometric Functions.

    29 min

• Continuity & Differentiability

  • Continuity (Part I)
    33 min
  • Continuity in an Interval and Continuous Functions
    26 min
  • Discussion of ICE 1(Part I) on continuity.

    33 min
  • Discussion of ICE 1(Part II) on continuity

    41 min
  • Differentiability
    32 min
  • MOD: Lecture 1
    22 min
  • ICE 2 on MOD

    31 min
  • MOD Lecture 2
    32 min
  • ICE 3 on MOD

    25 min
  • ICE 4 on MOD

    23 min
  • ICE 5 on MOD

    34 min

• Applications of Derivatives

  • Tangents and Normals

    15 min
  • Increasing and Decreasing Functions

    17 min
  • ICE 2 Increasing and Decreasing Functions

    38 min
  • Maxima and Minima

    01 hour 04 min
  • ICE on Maxima and Minima

    01 hour 04 min
  • ICE of Maxima and Minima

    01 hour 01 min
  • ICE on Maxima and Minima

    48 min
  • Lagrange’s Mean Value Theorem and Rolle’s theorem | Board( Optional)

    34 min

• Integration

  • Introduction to Integration

    26 min
  • ICE 1 on Introduction to Integration

    17 min
  • Worksheet 1
  • Integration by Substitution -I

    26 min
  • ICE 2 Integration by Substitution- I

    31 min
  • Worksheet 2
  • Integration by Substitution-II

    39 min
  • ICE 3 Integration by Substitution-II

    25 min
  • Worksheet 3
  • Integration by Partial Fraction Decomposition

    18 min
  • ICE 4 Integration by Partial Fraction Decomposition

    34 min
  • Worksheet 4
  • Integration by Parts

    32 min
  • ICE 5 Integration by Parts

    28 min
  • Worksheet 5
  • Anti-Derivatives by Integration Limits

    17 min
  • ICE 1 Anti-Derivatives by Integration Limits

    25 min
  • Worksheet 1
  • Properties of Definite Integration

    22 min
  • ICE 2 Properties of Definite Integration

    28 min
  • Worksheet 2