**RELATION – LEC 01 – PART A**

1. What is Relation

2. Types of Relation

3. Examples of Types of Relation

4. NCERT question Discussion

**RELATION – LEC 01 – PART **B

1. Types of Relation

2.Relation in case of given set

3. Jee Previous year Question discussion

**GRAPH AND FUNCTION**

**GRAPH & FUNCTION – LEC01**

1. What is function

2. Types of Function

3. Graphical Analysis of Function

4. To check ONTO or INTO Function Graphically

**GRAPH & FUNCTION – LEC02**

1. Types of Function

2. One One or Many one

3. Onto or Into Function

3. Graphical Analysis of Function

4. To check ONTO or INTO Function Graphically

5. Onto or Into Function depending upon Domain and Range

**GRAPH & FUNCTION – LEC03**

1. Onto or Into Function depending upon Domain and Range

2. One One or Many one

3. Onto or Into Function

4. Number of one one interval

5. Concept of Slope

6. Increasing and Decreasing Function

7. Concept of Differentiability

**GRAPH & FUNCTION – LEC04**

1. Concept of Modulus Function

2. Concept of Modulus on X

3. Concept of Modulus on complete Function

4. Concept of shifting

4. Concept of Modulus on Y

5. Area in Modulus Function

**GRAPH & FUNCTION – LEC05**

1. Concept of Modulus Function

2. Concept of Modulus on X

3. Concept of Modulus on complete Function

4.Graph of polynomial function

5.Concept of shifting

6. Concept of Modulus on Y

7. Area in Modulus Function

8. Concept of Differentiability

**GRAPH & FUNCTION – LEC06**

1. Concept of Modulus Function

2. Concept of Modulus on X

3. Concept of Modulus on complete Function

4. Graph of polynomial function

5. Area in Modulus Function

6. Graph of Trigonometric Function

7. Modulus in Trigonometric Function

**GRAPH & FUNCTION – LEC07**

1. Graph of Trigonometric Function

2. Number of Solution by Graphical Method

3. Interval Break in Trigonometric Function

4. Intersection of two curve and their respective solution

**GRAPH& FUNCTION-LEC08-A**

1. Graph of complex Trigonometric Function

2. Number of Solution by Graphical Method

3. Solution in Trigonometric Equation

4. Intersection of two curve and their respective solution

5. Comparison in two curve

**GRAPH& FUNCTION-LEC08-B**

1. Graph of complex Trigonometric Function

2. Comparison in two trigonometric function on basis of slope

3. Solution in Trigonometric Equation with Algebraic function

4. Intersection of two curve and their respective solution

**GRAPH& FUNCTION-LEC09-A**

1. Maximization and Minimization between two curve

2. Graph of complex Trigonometric Function

3. Comparison in two trigonometric function on basis of slope

4. Solution in Trigonometric Equation with Algebraic function

5. Intersection of two curve and their respective solution

**GRAPH& FUNCTION-LEC09-B**

1. Maximization and Minimization between two curve

2.Integration in comparison of curve

3. Comparison in two trigonometric function on basis of slope

**GRAPH& FUNCTION-LEC10**

1. Introduction to Logarithm

2. Graphical property related to Logarithmic Function

3. Modulus in Logarithmic Function

4. Shifting in Logarithmic Function

5. Basic Concept of Inverse of Function

6. Introduction to Exponential Function

2. Graphical property related to ExponentialFunction

3. Modulus in Exponential Function

**GRAPH& FUNCTION-LEC11**

1. Comparison in Logarithmic Function with Exponential function

2. Maximization and Minimization in Logarithmic and Exponential Function

3. Integration in Logarithmic and Exponential function

4. Shifting in Logarithmic Function

5. Concept of Differentiability in Logarithmic and Exponential Function

**GRAPH& FUNCTION-LEC12**

1. Introduction to greatest Integer Function

2. Graph of Greatest Integer Function

3. Integration in Greatest Integer Function

4. Trick to find Area in Greatest Integer Function

**GRAPH& FUNCTION-LEC13-A**

1.Modulus in Greatest Integer Function

2. Graph of Greatest Integer Function with multiple degree on it

3. Integration in Greatest Integer Function with degree

4. Greatest Integer Function on Trigonometric Function

5. Integration in Greatest Integer Function on Trigonometric Function

6. Integration in Greatest Integer Function on Trigonometric Function

**GRAPH& FUNCTION-LEC13-B**

1.Modulus in Greatest Integer Function

2. Trick to find Area in Greatest Integer Function

3. JEE based important Questions on Greatest Integer Function

4. Integration in Greatest Integer Function

5. Integration in Greatest Integer Function with Modulus Function

**GRAPH& FUNCTION-LEC14**

1.Modulus in Greatest Integer Function

2. Trick to find Area in Greatest Integer Function

3. JEE based important Questions on Greatest Integer Function

4. Integration in Greatest Integer Function

5. Integration in Greatest Integer Function with Modulus Function

**GRAPH& FUNCTION-LEC15 A**

1.Modulus in Greatest Integer Function

2. Modulus Function with variable function on its degree

3. JEE based important Questions on Greatest Integer Function

4. Modulus Function in degree of Greatest Integer Function

5. Greatest Integer Function in degree of Modulus Function

6. Fractional Function in Degree of Modulus Function

**FUNCTION**

**FUNCTION & ITS TYPES LEC01**

1. Definition of Function

2. Theoretical and Graphical Explanation of Function

3. Function with help of bar Diagram

4. Types of Function

5. Theoretical Method to explain One one or Many function

**FUNCTION & ITS TYPES LEC02**

1. JEE Questions on One one or Many Function

2. One one or Many Function in Algebraic Function

3. Trick to find One One or Many Function

4. Slope Method to understand One One or Many function

**FUNCTION & ITS TYPES LEC03**

1. JEE Questions on One one or Many Function

2. One one or Many Function by slope Method

3. One one or Many Function when more than one Function is involved

4. Basics of Onto or Into Function

4. One one or Many one Function when domain and range is given

**FUNCTION & ITS TYPES LEC04**

1. One one or Many Function by slope Method

2. One one or Many Function when more than one Function is involved

3. Basics of Onto or Into Function

4. One one or Many one Function for Cubic Polynomial by Slope Method

**FUNCTION & ITS TYPES LEC05**

1. One one or Many Function depending on Domain and Range

2. One one or Many Function when more than one Function is involved

3. Concept of Onto or Into Function

4. One one or Many one Function for Odd degree Polynomial by Slope Method

**FUNCTION & ITS TYPES LEC06**

1. Concept of Domain and Co-domain

3. Basics of Range of Function

3. One one or Many Function depending on Domain and Range

**FUNCTION & ITS TYPES LEC0**7

1. One One or Many Function in Trigonometric Function

2. Basics of Range of Function

3. Onto or Into Function depending on Domain and Range in Trigonometric Function

4. Injective or Surjective Function

5. When function becomes Bijective

**FUNCTION & ITS TYPES LEC08**

1. Injective or Surjective Function

2. When function becomes Bijective

3. Invertible Function

4. JEE based question on Inverse of Function

**FUNCTION & ITS TYPES LEC09**

1. Invertible Function

2. Overview of covered Topic of Function

3. Odd and Even Function

4. JEE based question on Odd and Even function

**FUNCTION & ITS TYPES LEC10**

1. Domain of Function

2. Domain of Logarithmic Function

3. Domain of Square root

4. Domain of Inverse trigonometric Function

5. Domain of permutation and combination

6. Trick to find Domain of Function

7. JEE based questions on Domain of Function

**FUNCTION & ITS TYPES LEC11 – A**

1. Domain of Function

2. Trick to find domain of function

3. JEE based questions on Domain of function

4. Domain based on inequality

5. Concept of Modulus of Function

**FUNCTION & ITS TYPES LEC11 – B**

1. Domain of Function

2. Range of Function

3. Composition of Function

4. Question based on Composition and Inverse of Function

5. Value of Function

**FUNCTION & ITS TYPES LEC11 – C**

1. Value of function

2. Composition of Function

3. JEE based question on value of function

4. Range of Complex Function

5. Miscellanous question based on concept of slope

6. Range of Algebraic Function

**FUNCTION & ITS TYPES LEC12 **

1. Range of Algebraic Function in different form

2. Range of Modulus Function

3. JEE based Question on Algebraic Function

4. Range of Complex Function

**FUNCTION & ITS TYPES LEC13**

1. Range of Complex Function

2. JEE based Questions on Range of Function

3. Range of Greatest Integer Function

4. Range of fractional Function

**FUNCTION & ITS TYPES LEC14**

1. Range of Complex Function

2. JEE based questions on Range of Function

3. Period of Function

4. Period of Trigonometric Function

5. Effect of Modulus Function on Period of Function

6. Period of Stepwise Function

7. Period of more than one combined Function

**FUNCTION & ITS TYPES LEC15**

1. Range of Complex Trigonometric Function

2. Properties of Periodic Function

3. Exception in Period of Function

4. JEE based question in Period of Function

5. Period of Function in value based Function

**FUNCTION & ITS TYPES LEC16**

1. Miscellaneous concept in Composition of Function

2. Jee previous year Question Discussion

3. Complex Question in Value of Function

4. Odd and Even Function

**FUNCTION & ITS TYPES LEC17**

1. Miscellaneous question of Function

2. Jee Previous year question

3. Tricks to find Period of Function