Course Curriculum

• Relations & Functions

  • Ordered pair & Cartesian product

    20 min
  • Relations

    25 min
  • Trigonometry Inequalities and their Domain

    46 min
  • Domain & Range (Part 4)

    30 min
  • Domain & Range (Part 5)

    22 min
  • Domain & Range (Part 6)

    36 min
  • Even and Odd function

    23 min
  • Composition of Functions

    12 min
  • Periodic Functions

    25 min
  • Inverse of a Function

    17 min

• Inverse Trigonometric Functions

  In this lecture we will identify the need to modify the range and domain of trigonometric functions to define its inverse, also define the principal domain and range of 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
  • Properties of Inverse Trigonometric Functions part 2

    37 min
  • Properties of Inverse Trigonometric Functions & important problems

    27 min
  • Graph of Trigonometry inverse of Trigonometry function

    12 min
  • Trigonometry Inverse of Trigonometry Graph & Problems

    13 min
  • Inverse Trigonometry function & Related problems

    20 min
  • Inverse Trigonometry function properties Part – 4

    17 min
  • Inverse Trigonometry function infinite series

    31 min

• Matrices

  • Introduction to Matrices

    47 min
  • Introduction to Matrices – ICE 1

    20 min
  • Worksheet : 01
  • DPP 01 Discussion

    36 min
  • Multiplication of Matrices

    26 min
  • DPP 01
  • Multiplication of Matrices (Part 2)

    56 min
  • Transpose, Symmetric and Skew Symmetric Matrix

    27 min
  • ICE 02 (Part 1) Discussion

    27 min
  • ICE 02 (Part 2) Discussion

    39 min
  • Elementary Operations

    16 min
  • Worksheet : 02
  • Inverse by Elementary Transformations

    48 min
  • ICE 03 Discussion

    28 min
  • Worksheet : 03
  • Special Matrices

    16 min
  • DPP 02 Discussion (Part 1) (Matrices)

    32 min
  • DPP 02 Discussion (Part 2) (Matrices)

    52 min

• Determinants

  • Determinant and its Properties

    54 min
  • Recap of Properties, Problems based on Properties

    20 min
  • ICE 01 (Part 1) Discussion

    35 min
  • Worksheet 01
  • ICE 01 (Part 2) Discussion

    01 hour 12 min
  • Applications of Determinants to Coordinate Geometry

    09 min
  • ICE 02 Discussion

    10 min
  • Worksheet 02
  • Minors and Cofactors

    21 min
  • Inverse of a Matrix

    45 min
  • ICE 03 Discussion

    55 min
  • Worksheet 03
  • DPP 03 Discussion

    01 hour 04 min
  • DPP 03
  • DPP 04 Discussion

    41 min
  • DPP 04
  • Determinants JEE L1

    22 min
  • Applications of Determinants and Matrices

    27 min
  • ICE 04 Discussion

    37 min
  • Worksheet 04
  • Cramer’s Rule

    59 min
  • DPP 05
  • JEE Problems on Cramer’s Rule

    36 min

• Continuity & Differentiability

  • Continuity

    49 min
  • Problems based on Continuity and its Algebra

    29 min
  • ICE 01 (Part 1) Discussion

    33 min
  • ICE 01 (Part 2) Discussion

    31 min
  • Worksheet : 01
  • Extra Problems

    17 min
  • Continuity JEE L1

    01 hour 08 min
  • Continuity JEE L2

    01 hour 10 min
  • Continuity JEE L3

    30 min
  • Differentiability

    35 min
  • Differentiability in an Interval

    12 min
  • Methods of Differentiation

    44 min
  • Practice Problems on Chain Rule

    10 min
  • ICE 02 (Part 1) Discussion

    53 min
  • ICE 02 (Part 2) Discussion

    33 min
  • Worksheet : 02
  • Derivatives of Inverse Trigonometric Functions

    34 min
  • ICE 03 (Part 1) Discussion

    45 min
  • Differentiation of Logarithmic and Exponential Functions

    14 min
  • Extra Problems and ICE 03 (Part 2) Discussion

    46 min
  • Worksheet : 03
  • Differentiability JEE Lecture 1

    01 hour 09 min
  • Differentiability JEE Lecture 2

    59 min
  • Differentiation of Parametric Functions

    07 min
  • ICE 04 (Part 1) Discussion

    45 min
  • ICE 04 (Part 2) Discussion

    19 min
  • Worksheet : 04
  • Worksheet : 05
  • ICE 05 Discussion

    01 hour
  • Differentiability JEE Lecture 3

    53 min
  • Differentiability JEE Lecture 4

    01 hour 18 min
  • ICE 05 (Part 2) Discussion and Infinite Series

    22 min
  • Differentiability JEE Lecture 5

    31 min

• Application of Derivatives

  • Rate of Change

    20 min
  • ICE 01 Discussion

    30 min
  • Worksheet: 01
  • Increasing and Decreasing Functions

    40 min
  • ICE 02 (Part 1) Discussion

    01 hour 07 min
  • Worksheet: 02
  • ICE 02 (Part 2) Discussion

    01 hour 09 min
  • Tangents and Normals, ICE 03 (Part 1) Discussion

    34 min
  • ICE 03 (Part – 02) Discussion

    55 min
  • ICE 03 (Part – 03) Discussion

    43 min
  • Worksheet: 03
  • JEE Lecture 1 (Ex.1 to 12)

    01 hour 10 min
  • JEE Lecture 2 (Ex.14 to 22)

    59 min
  • JEE Lecture 3 (Ex.23 to 32)

    01 hour 10 min
  • JEE Lecture 4 (Ex.35 to 42), Approximation

    01 hour