Second PU Mathematics Classes | Learn Ganit

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Relations and Functions 16 Topics

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Recap of Relations

Recap of Functions

Types of Relations Concepts

Types of Relations – Problem 1

Types of Relations – Problem 2

Types of Relations – Problem 3

Types of Functions

Types of Functions – Problem 1

Composition of Functions

Composition of Functions – Problem 1

Composition of Functions – Problem 2

Invertible Functions – Part 1

Invertible Functions – Part 2

Invertible Functions – Part 3

Binary Relations – Part 1

Binary Relations – Part 2

Inverse Trigonometric Functions 9 Topics

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Definition, Domain & Range

Properties of Inverse Trigonometric Functions – Part 1

Properties of Inverse Trigonometric Functions – Part 2

Properties of Inverse Trigonometric Functions – Part 3

Properties of Inverse Trigonometric Functions – Part 4

Inverse Trigonometric Functions – Problem 1

Inverse Trigonometric Functions – Problem 2

Inverse Trigonometric Functions – Problem 3

Inverse Trigonometric Functions – Problem 4

Matrices 12 Topics

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Definition and Examples

Types of Matrices

Algebra of Matrices – Part 1

Algebra of Matrices – Part 2

Algebra of Matrices – Part 3

Algebra of Matrices – Part 4

Algebra of Matrices – Part 5

Transpose, Symmetric and Anti-symmetric Matrices – Part 1

Transpose, Symmetric and Anti-symmetric Matrices – Part 2

Transpose, Symmetric and Anti-symmetric Matrices – Part 3

Inverse of a Matrix Using Elementary Transformations – Part 1

Inverse of a Matrix Using Elementary Transformations – Part 2

Integration 26 Topics

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Definition and List of Formulae – Part 1

Definition and List of Formulae – Part 2

Definition and List of Formulae – Part 3

Integration Using Substitution – Part 1

Integration Using Substitution – Part 2

Integration Using Substitution – Part 3

Integration Using Substitution – Part 4

Some Important Integrals – Part 1

Some Important Integrals – Part 2

Some Important Integrals – Part 3

Integration Using Completion of Square – Part 1

Integration Using Completion of Square – Part 2

Integration Using Completion of Square – Part 3

Integration by Partial Fraction – Part 1

Integration by Partial Fraction – Part 2

Integration by Parts – Part 1

Integration by Parts – Part 2

Integration by Parts – Part 3

Integration by Parts – Part 4

Definite Integrals – Part 1

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Application of Integration 6 Topics

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Geometrical Meaning of Definite Integrals – Part 1

Geometrical Meaning of Definite Integrals – Part 2

Geometrical Meaning of Definite Integrals – Part 3

Linear Programming 3 Topics

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Definition and Geometrical Interpretation

Graphical Method to Solve LPP – Part 1

Graphical Method to Solve LPP – Part 2

Differential Equations 7 Topics

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Definition, Order and Degree

Formation of Differential Equations

Solution of Differential Equations

Method of separation of Variables

Homogeneous Differential Equations

Linear Differential Equations – Part 1

Linear Differential Equations – Part 2

Vector Algebra 15 Topics

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Definition and Types of Vectors

Geometrical Interpretation – Part 1

Geometrical Interpretation – Part 2

Sum and Difference of Vectors – Part 1

Sum and Difference of Vectors – Part 2

Dot Product of Vectors – Part 1

Dot Product of Vectors – Part 2

Dot Product of Vectors – Part 3

Cross Product of Vectors – Part 1

Cross Product of Vectors – Part 2

Cross Product of Vectors – Part 3

Scalar Triple Product – Part 1

Scalar Triple Product – Part 2

Scalar Triple Product – Part 3

Section Formula

Probability 12 Topics

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Recap of Basic Concepts

Conditional Probability – Part 1

Conditional Probability – Part 2

Multiplication Theorem for Probability

Independent Events – Part 1

Independent Events – Part 2

Bayee’s Theorem – Part 1

Bayee’s Theorem – Part 2

Random Variables – Part 1

Random Variables – Part 2

Binomial Distribution – Part 1

Binomial Distribution – Part 2

Continuity and Differentiability 19 Topics

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Recap of Limits and Derivatives

Definition of Continuous Functions and Problems – Part 1

Definition of Continuous Functions and Problems – Part 2

Definition of Continuous Functions and Problems – Part 3

Definition of Continuous Functions and Problems – Part 4

Differentiability

Chain Rule for Differentiation – Part 1

Chain Rule for Differentiation – Part 2

Chain Rule for Differentiation – Part 3

Differentiation of Implicit Functions

Differentiation of Inverse Trigonometric Functions – Part 1

Differentiation of Inverse Trigonometric Functions – Part 2

Logarithmic Differentiation – Part 1

Logarithmic Differentiation – Part 2

Differentiation of Parametric Functions – Part 1

Differentiation of Parametric Functions – Part 2

Successive Differentiation – Part 1

Successive Differentiation – Part 2

Mean Value Theorems

Application of Derivatives 9 Topics

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Derivative as Rate Measure

Tangents and Normals – Part 1

Tangents and Normals – Part 2

Tangents and Normals – Part 3

Approximations and Errors

Increasing and Decreasing Functions – Part 1

Increasing and Decreasing Functions – Part 2

Maxima and Minima – Part 1

Maxima and Minima – Part 2

Determinants 12 Topics

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Definition and Examples

Properties of Determinants – Part 1

Properties of Determinants – Part 2

Properties of Determinants – Part 3

Properties of Determinants – Part 4

Properties of Determinants – Part 5

Area of a Triangle – Part 1

Area of a Triangle – Part 2

Minors, Cofactors, Adjoint And Inverse – Part 1

Minors, Cofactors, Adjoint And Inverse – Part 2

Solution of Linear Simultaneous Equations – Part 1

Solution of Linear Simultaneous Equations – Part 2

Three-Dimensional Geometry 11 Topics

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Recap of Concepts

Direction Cosines and Direction Ratios

Straight Lines – Part 1

Straight Lines – Part 2

Straight Lines – Part 3

Planes – Part 1

Planes – Part 2

Planes – Part 3

Planes – Part 4

Planes – Part 5

Straight Lines and Planes

About Instructor

Dr Prashantha Rao

Dr Prashantha Rao is a well known Maths teacher with an illustrious experience of 21 years of teaching. He has taught at various levels for High School, PU, Engineering, BSc, MSc, CET and JEE. His unique teaching style has garnered him numerous accolades and has won the hearts of thousands of students.

4 Courses

Learn Ganit helps the students to learn Mathematics in a simple and affordable way. Watch video classes in your finger tips from the comfort of your homes.

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