Lecture 1 - Introduction, Types of Relations - Exercise 1.1 ( New NCERT- Key Questions- Questions 1,2,3,6,11 and 12)

Lecture 2 - Introduction to Functions

Lecture3 - Types of Functions- Exercise 1.2 NCERT- Questions-1,2 and 4

Lecture4 -Types of Functions Exercise 1.2 NCERT- (Questions 5,6,7,10 for CBSE students ) followed by Exercise 1.3 Old NCERT - FOR COMPETITIVE EXAMS ONLY

Lecture 5- Relations and Functions -Miscellaneous questions for Practice

Lecture 6 - Inverse of a Function and Binary Functions (Old NCERT)-ONLY FOR COMPETITIVE EXAMS

Assignments - Relations and functions

4 pages

Detailed solutions- Relations and Functions

7 pages

Lecture 1 - Inverse Trigonometric Functions- Principle Values-NCERT -Exercise 2.1 Q1,2,4,10,11,14

Lecture 2 -Properties of Inverse Trigonometric Functions- NCERT Exercise-2.2 Q1,3,4,5,7,8,9 along with Practice Questions from Old NCERT

Lecture 3- Inverse Trigonometry - Misc-Q1-3,8,9,10,11,12,14

Assignment-Inverse trigonometric functions ( Only Highlighted questions to be done for CBSE . Non highlighted questions are important for competitive exams)

4 pages

Detailed Solutions to Assignment - Inverse Trigonometric Functions

7 pages

SECTION I- MATRICES

Lecture 1- Matrices (Introduction) - Addition, Subtraction, Types and Scalar Multiplication of Matrices

Lecture 2 - Matrix Multiplication, Symmetric & Skew Symmetric Matrices and Transpose of a Matrix

SECTION II- DETERMINANTS

Lecture 1 - Expanding the Determinant(Minors and Cofactors)- Exercise 4.1 NCERT Q2(i), Q3,4,5(ii),7(i)

Lecture 2- Area of a Triangle- Exercise 4.2 NCERT Questions 1,2,3,4

Lecture 3- Introduction to Adjoint and Inverse of a Matrix-Exercise 4.4 NCERT Questions 2,3,7

Lecture-4 Solution of system of linear equations using inverse of a matrix- Exercise 4.5 Questions 3 and 16 and Miscellaneous Exercise Questions 1 &3

SECTION III - EXTRA LECTURES ON DETERMINANTS-FOR COMPETITIVE EXAMS ONLY

Lecture 1 - Determinants properties (For COMPETITIVE EXAMS ONLY)

Lecture 2- Determinants properties (For COMPETITIVE EXAMS ONLY)

lecture 3- Determinants properties (For COMPETITIVE EXAMS ONLY)

SECTION IV - ASSIGNMENTS AND QUIZ

Assignment -Matrices , Determinants and Adjoint ( In Matrices please exclude elementary transformations and in Determinants please Exclude properties of Determinants for CBSE board however these are important for competitive exams)

20 pages

Detailed Solutions-Matrices , Determinants and Adjoint

58 pages

SECTION I - CONTINUITY AND DIFFERENTIABILITY

Lecture 1- Continuity (Introduction)- Exercise 5.1 NCERT Q1,3,4,5,6,7,8,14,17

Lecture 2-Continuity- Exercise 5.1 NCERT-Q19,20,21,23,24,26,27,28,31

Lecture 3 -Introduction To Derivatives( BASIC CONCEPTS)

Lecture 4 - Derivatives -Exercise 5.2-NCERT-Q1,3,4,5,6,7,8 ( APPLICATION OF CHAIN RULE)

Lecture 5- Exercise 5.4 NCERT Questions 2,6,7 based on chain rule and Exercise 5.3 NCERT Questions 1,2,3,4,6,8,10,11,12,13,14 based on Derivatives of implicit functions

Lecture 6- Logarithmic Differentiation-Exercise 5.5 NCERT Q 1,2,3,4,5

Lecture 7- Logarithmic Differentiation-Exercise 5.5 NCERT Questions 6,7,11,13,14,15,16

Lecture 8- Derivatives of Functions in Parametric Forms-Exercise 5.6 NCERT Questions 1,2,6,7,8,11

Lecture 9 -Second Order Derivative- Exercise 5.7 NCERT Q1,2,5,10,11,12,13,14,15,16

Lecture 10 - Miscellaneous-NCERT-Q1,3,4,6,8,9,10,13,14

Lecture 11- Miscellaneous - NCERT- Q 15,16,18,17,19,21

Lecture 12 Rolles Theorem and LMVT - For COMPETITIVE EXAMS ONLY

SECTION II APPLICATION OF DERIVATIVES

Lecture 1-Rate of change-Exercise 6.1 NCERT- Questions 1,2,3,4,9

Lecture 2- Rate of change-Exercise 6.1 NCERT-Questions 5,6,7,8,10,11,13,14,15,16

Lecture 3-Rate of change Exercise 6.1 NCERT-Questions 12,17,18

Lecture 4-Increasing and Dec- Ex-6.2 NCERT-Questions 1,2,3,4,5,7

Lecture 5- Increasing and Dec-Ex-6.2-NCERT Questions 8,9,10,12

Lecture 6- Increasing and Dec-Ex-6.2-NCERT Questions 13,14,15,16,18,19

Lecture 7- Introduction to Maxima and MinimaProblems-Ex 6.3-NCERT Q1,2,3 (iii)

Lecture 8 -Additional Problems on Maxima and Minima-Ex 6.3-NCERT Q8,9,11,12,13,14

Lecture 9- Additional Problems on Maxima and Minima-Ex 6.3-NCERT Questions 17,19,20,22

Lecture 10-Additional problems on Maxima and Minima Ex-6.3 NCERT- 24,25,26,29

Lecture 11-Miscellaneous Exercise (NCERT)- Questions 1&2

Lecture 12-Miscellaneous Exercise (NCERT)- Questions Q3&5

Lecture 13-Miscellaneous Exercise (NCERT)- Questions 6,7,8,9,15

Lecture 14- Miscellaneous Exercise (NCERT)- Question Q23

SECTION III- ASSIGNMENT AND SOLUTIONS - CHAPTER 5 AND 6

Assignment -Limits and Derivatives (Continuity + Differentiation + AOD)- In Application of Derivatives only Rate of Change , Increasing and Decreasing and Maxima and Minima is included in syllabus . Remaining topics are important for other competitive exams

21 pages

Detailed Solutions to Assignment - Continuity, Derivatives And Application of Derivatives

71 pages

QUIZ ON CONTINUITY AND DIFFERENTIABILITY

SECTION 1- INTEGRATION

Lecture 1- Integration (Introduction)

Lecture 2 - Integration ( Exercise 7.1 NCERT- Q1,3,5,6,7,8,9,10,11,12,13,14,18,19,20,21, 22)

Lecture 3- Integration by substitution ( Exercise 7.2 NCERT -Introduction - Q1,2,3,4,5)

lecture 4 - integration by substitution Exercise 7.2 NCERT-Q 6,7,8,9,10,12

Lecture 5-Integration by Substitution- Exercise 7.2 -NCERT Q13-19 ,21-32

Lecture 6- Integration using trigonometric identities-Ex7.3 NCERT (Q2,3,4,5,7,8,9,10)

Lecture 7-Introduction to Some Special Integrals - Exercise 7.3 NCERT-Q12 -24

Lecture 8-Integration -Integrals of Some Particular Functions-Exercise 7.4 NCERT- Q1,2,7,11,12

Lecture 9-Integration -Integrals of Some Particular Functions-Exercise 7.4 NCERT- Questions 5,8,9,10,15,16,17,23)

Lecture 10- Integration -Integrals of Some Particular Functions-Exercise 7.4 NCERT-Q18

Lecture 11- Partial Fractions -Exercise 7.5 NCERT - Q2,4,7,17)

Lecture 12-Partial Fractions -Exercise 7.5 NCERT Q 16, 18 and Exercise 7.7 NCERT Questions 1 and 3

Lecture 13-Integration By Parts - Exercise-7.6 NCERT -Questions 3 and 7

Lecture 14-Integration By Parts - Exercise-7.6 NCERT -Questions11,14,16,17,19

Lecture 15- Definite Integration -Exercise 7.8 NCERT - Questions 1,2,3,8,9,12,13

Lecture 16-Definite integration by substitution -Exercise 7.9 NCERT Questions 1,4,6,8 & Introduction to properties of Integration

Lecture 17- Properties of Integration -Ex 7.10 NCERT Questions 1,2,5,7

Lecture 18- Properties of Integration -Ex 7.10 NCERT Questions 8,12,14,19,20

Lecture 19- Integration Miscellaneous Exercise NCERT Questions 1,3,4,5,7,8,

Lecture 20-Integration Miscellaneous Exercise NCERT Questions-11,12,13,14,15,16,17,18

Lecture 21- Integration Miscellaneous Exercise NCERT Questions 19,20,22,23

Lecture 22-Integration Miscellaneous Exercise NCERT Questions 24,25,26,27,29,30,31

SECTION 2 - APPLICATION OF INTEGRATION

Lecture 1- Application of Integration - Introduction and Practice Sums

Lecture 2-Application of Integration -Practice Questions

Lecture 3-Application of Integration- Miscellaneous -NCERT Questions 2 and 3 and other questions for Practice

SECTION -III ASSIGNMENTS, SOLUTIONS AND QUIZ

Assignment1- Indefinite Integration

15 pages

Assignment 2-Definite Integration

7 pages

Assignment 3- Application of integration

5 pages

Solutions to Assignment 1- Indefinite Integration

64 pages

Solutions to Assignment 2- Definite Integration

42 pages

Solutions to Assignment 3- Application of Integration

22 pages

QUIZ ON APPLICATIONS OF INTEGRATION

Lecture 1- Introduction to Differential Equation- General and Particular Solutions of a Differential Equation-Exercise 9.2 NCERT-Questions 1,2,3,4,6,7

Lecture 2-Differential equations with variables separable-Exercise 9.3 NCERT Q1,2,3

Lecture 3- Differential Equation- Differential equations with variables separable-Ex-9.3 NCERT Q11,13,15,17,19

Lecture 4 -Homogeneous Equations-Exercise 9.4 Q4,6,13

Lecture 5-EX 9.4 Differential Q1,2,4,7

Lecture 6-Linear Differential Equation-Exercise 9.5 NCERT Questions 3 and 12

Lecture 7-Linear Differential Equation Exercise 9.5- Questions 1,2,4,5,8,10,15

Lecture 8 (Old NCERT)-Formation of Differential Equation- FOR COMPETITIVE EXAMS ONLY

Assignment - Differential Equations

7 pages

Detailed Solutions- Differential Equations

25 pages

SECTION I - VECTOR ALGEBRA

Lecture 1 -Vectors (Introduction) Exercise-10.1 NCERT Questions 1,2,3,4,5

Lecture 2-Vector Algebra(LAWS)-Exercise-10.2 NCERT Questions 1,2,3,4,5,6,7,8

Lecture 3-Vector Algebra( Laws )- Exercise-10.2 NCERT Questions 9,10,11,14,15,16

Lecture 4- Scalar (or dot) product of two vectors - Exercise-10.3 NCERT Questions 1,2 and 3

Lecture 5- Scalar (or dot) product of two vectors Exercise-10.3 NCERT Questions 4,5,6,10,13,15

Lecture 6 -Vector (or cross) product of two vectors- Exercise 10.4 Questions 1,2,3,4,5,6,9,10

Lecture 7 Vector Miscellaneous Exercise NCERT- Part 1-Questions 1,2,4,6,7,8,10

Lecture 8 Vector Miscellaneous Exercise- NCERT Part 2 Q11,12,13,14,15,16,17,3

SECTION II - THREE DIMENSIONAL GEOMETRY

Lecture 1 -Introduction to Three Dimensional Geometry Exercise 11.1 NCERT-Questions 1-5

Lecture 2-Introduction to Lines

Lecture 3-Introduction to lines Exercise 11.2 NCERT Q1,2,3,4,6

Lecture 4- Lines Ex 11.2 NCERT Question 9 ( Old Ncert) and Questions8,9,10,12 ( New Ncert)

Lecture 5- Planes Ex 11.3 - Old Ncert - For COMPETITIVE EXAMS

Lecture 6 -Planes Ex 11.3 - Old Ncert - For COMPETITIVE EXAMS)

Lecture 7- Mixed Miscellaneous Exercises of Old and New NCERT - OLD NCERT Questions 1,2,5,7 ( Non Highlighted) and NEW NCERT( Highlighted in red) Question 1 and 3

Lecture 8 -Miscellaneous Old NCERT- for COMPETITIVE EXAMS ONLY)

SECTION III - ASSIGNMENTS AND SOLUTIONS

Assignment-Vector and 3D ( Concept of Planes is excluded for CBSE syllabus. It is important for other competitive exams

14 pages

Solutions to Assignment- Vector And 3D

38 pages

Lecture 1 - Linear Programming (Graphical Solution)

Lecture 2 - Linear Programming (Graphical Solution)

Assignment - Linear Programming

7 pages

Solutions to Assignment- Linear Programming

13 pages