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INTRODUCTION
Chapter 1. RELATIONS AND FUNCTIONS
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
Detailed solutions- Relations and Functions
QUIZ ON RELATIONS AND FUNCTIONS
Chapter 2. INVERSE TRIGONOMETRIC FUNCTIONS
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)
Detailed Solutions to Assignment - Inverse Trigonometric Functions
QUIZ ON INVERSE TRIGONOMETRY
CHAPTERS 3 AND 4 - MATRICES AND DETERMINANTS
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)
Detailed Solutions-Matrices , Determinants and Adjoint
QUIZ ON MATRICES AND DETERMINANTS
CHAPTER 5 AND 6 - CONTINUITY AND DIFFERENTIABILITY AND APPLICATION OF DERIVATIVES
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
Detailed Solutions to Assignment - Continuity, Derivatives And Application of Derivatives
QUIZ ON CONTINUITY AND DIFFERENTIABILITY
QUIZ ON APPLICATION OF DERIVATIVES
CHAPTER 7 AND 8- INTEGRATION AND APPLICATION OF INTEGRATION
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
Assignment 2-Definite Integration
Assignment 3- Application of integration
Solutions to Assignment 1- Indefinite Integration
Solutions to Assignment 2- Definite Integration
Solutions to Assignment 3- Application of Integration
QUIZ ON APPLICATIONS OF INTEGRATION
QUIZ ON INTEGRATION
CHAPTER 9 - DIFFERENTIAL EQUATIONS
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
Detailed Solutions- Differential Equations
QUIZ ON DIFFERENTIAL EQUATIONS
CHAPTER 10 AND 11 -VECTORS AND THREE DIMENSIONAL GEOMETRY
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
Solutions to Assignment- Vector And 3D
QUIZ ON VECTOR AND THREE DIMENSIONAL GEOMETRY
CHAPTER 12- LINEAR PROGRAMMING
Lecture 1 - Linear Programming (Graphical Solution)
Lecture 2 - Linear Programming (Graphical Solution)
Assignment - Linear Programming
Solutions to Assignment- Linear Programming
QUIZ ON LINEAR PROGRAMMING
CHAPTER 13- PROBABILITY
Lecture 1-Conditional Probability-Exercise13.1 NCERT Q1,3,4,6,8,9
Lecture 2-Conditional Probability- Exercise 13.1 NCERT -Questions 10,12,13,14,15
Lecture 3 -Independent events-Exercise 13.2 NCERT Questions 1,2,3,4,7,8,9
Lecture 4 - Independent Events-Exercise 13.2 NCERT Questions 10,11,12,13,14,16
Lecture 5-Bayes' Theorem- Exercise 13.3 NCERT+Questions 1,2,4,5
Lecture 6-Bayes' Theorem- Exercise 13.3 NCERT Questions 7,10,12
Lecture 7-Miscellaeous Exercise( New and old Ncert Imp problems)- Old Ncert Questions are captioned
EXTRA LECTURES ON PROBABILITY-FOR COMPETITIVE EXAMS ONLY
Lecture 8-EX13.4 (Old Ncert) Q1,2,4,5,7,8- Probability Distribution part 1- for COMPETITIVE EXAMS ONLY
Lecture 9 EX13.4-Old NCERT- Q10,12,14,17- Probability Distribution- Part 2-For COMPETITIVE EXAMS ONLY
Lecture 10-Binomial Distribution (part 1)-EX13.5 (Old NCERT) (Q1,2,4,7)- For COMPETITVE EXAMS ONLY
Lecture 11-EX-13.5 Old NCERT- Q3,6,8-12,14,15 For COMPETITIVE EXAMS ONLY
Assignment-Probability (Probability distribution and Binomial Distribution is excluded from CBSE syllabus but we recommend our students to do this topic as the concept is used in some questions of NCERT.
Solutions to Assignment Probability
QUIZ ON PROBABILITY