Crash Course for 12th Board Exam - Master Mathematics
Basic Concepts/ Terms / Definitions
Crash Course for 12th Board Exam - Master Mathematics
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CHAPTER – 1. RELATIONS AND FUNCTIONS
CHAPTER - 1. RELATIONS AND FUNCTIONS
Cartesian Product of two sets
Video - 28:43 mins
Reflexive , Symmetric and Transitive relations
Video - 00:28:00 mins
Problems related to Equivalence Relation Module - I
Video - 00:41:00 mins
Problems related to Equivalence Relation Module - II
Video - 00:31:00 mins
Problems related to Equivalence Relation Module - III
Video - 00:35:00 mins
Problems related to Equivalence Relation Module - IV
Video - 00:63:00 mins
Problems related to Equivalence Relation Module - V
Video - 00:55:00 mins
Domain , Codomain and Range of a Function Module -I
Video - 00:35:00 mins
Problems related to bijectivity of Functions Module-I
Video - 00:43:00 mins
Problems related to bijectivity of Functions Module-II
Video - 00:42:00 mins
Problems related to Equivalence Relation Module - IV
Video - 00:55:00 mins
Problems related to Equivalence Relation Module - IV
Video - 00:55:00 mins
Problems related to bijectivity of Functions Module-V
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CHAPTER – 2 INVERSE TRIGONOMETRIC FUNCTIONS
CHAPTER - 2 INVERSE TRIGONOMETRIC FUNCTIONS
Concept and need of ITF
Video - 26:59 mins
Restricting Domain of Sine Function
Video - 18:39 mins
Restricting Domain of Cosine and tangent Function
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Restricting Domain of Cosecant, cotangent and secant Function
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Graphs of Inverse Functions Module - I
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Graphs of Inverse Functions Module - II
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CHAPTER-3 MATRICES and DETERMINANTS
MATRICES and DETERMINANTS
Concept and its Types Module- I
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Concept and its Types Module- II
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Addition of two matrices
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Product of two matrices with same order
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Product of two matrices with different order
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Problems involving Matrix Multiplication Module - I
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Problems involving Matrix Multiplication Module - II
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Problems involving Matrix Multiplication Module - III
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Transpose of a matrix
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Concept of Symmetric and Skew symmetric matrices Module - I
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Concept of Symmetric and Skew symmetric matrices Module -II
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Concept of Symmetric and Skew symmetric matrices Module - III
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Concept of Symmetric and Skew symmetric matrices Module -IV
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Concept of Symmetric and Skew symmetric matrices Module - V
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Inverse of 2x2 matrices Module - I
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Inverse of 2x2 matrices Module - II
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Inverse of 3 x 3 matrices Module - I
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Concept of Determinants and its Expansion & Properties
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Properties of Determinants Module -I
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Properties of Determinants Module -III
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Properties of Determinants Module -III
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Finding area of a triangle using Determinants Module - I
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Finding area of a triangle using Determinants Module - II
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Concept of Minor, Cofactors, Adjoint and Inverse of a matrix
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Problems related to Minor, Cofactors, Adjoint and Inverse of a matrix - I
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Problems related to Minor, Cofactors, Adjoint and Inverse of a matrix - II
Video - 00:17:00 mins
Problems related to Minor, Cofactors, Adjoint and Inverse of a matrix - III
Video - 00:16:00 mins
Problems related to Minor, Cofactors, Adjoint and Inverse of a matrix - IV
Video - 00:23:00 mins
Matrix Method Module -I
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Matrix Method Module -II
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Simplification of set of equations Module - I
Video - 00:20:00 mins
Simplification of set of equations Module - II
Video - 00:5:00 mins
CHAPTER-4: CALCULUS: CONTINUITY AND DIFFERENTIABILITY
CHAPTER-4: CALCULUS: CONTINUITY AND DIFFERENTIABILITY
Concept of Continuity and related Problems Module - I
Video - 00:58:00 mins
Concept of Continuity and related Problems Module - II
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Concept of Continuity and related Problems Module - III
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Concept of Differentiability Module -II
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Concept of Differentiability Module -III
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Basics for Carrying Differentiation
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Basic Differentiation Module - I
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Basic Differentiation Module - II
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Implicit and Explicit Functions Module - I
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Implicit and Explicit Functions Module - II
Video - 00:51:00 mins
Differentiation of Inverse Trigonometric Functions Module - I
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Differentiation of Inverse Trigonometric Functions Module - II
Video - 00:45:00 mins
Differentiation of Inverse Trigonometric Functions Module - III
Video - 00:58:00 mins
Logarithmic Differentiation Module - I
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Logarithmic Differentiation Module - II
Video - 00:56:00 mins
Infinite order Differentiation
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Higher order Differentiation Module - I
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Higher order Differentiation Module - II
Video - 00:42:00 mins
Parametric Form
Video - 00:51:00 mins
Chapter-5: Calculus: APPLICATIONS OF DERIVATIVES
APPLICATIONS OF DERIVATIVES
Increasing and Decreasing Functions Module - I
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Increasing and Decreasing Functions Module - II
Video - 00:14:00 mins
Increasing and Decreasing Functions Module - III
Video - 00:12:00 mins
Increasing and Decreasing Functions Module - IV
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Increasing and Decreasing Functions Module - V
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Increasing and Decreasing Functions Module - VIII
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Increasing and Decreasing Functions Module - IX
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Derivatives as Rate measure Module - I
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Derivatives as Rate measure Module - II
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Derivatives as Rate measure Module - III
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Derivatives as Rate measure Module - IV
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Maxima and Minima
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Applications of Maxima and Minima Module - I
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Applications of Maxima and Minima Module - Ii
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Applications of Maxima and Minima Module - Iii
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Applications of Maxima and Minima Module - IV
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Applications of Maxima and Minima Module - V
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Applications of Maxima and Minima Module - VI
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Applications of Maxima and Minima Module - VII
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Applications of Maxima and Minima Module - VIIi
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Applications of Maxima and Minima Module - IX
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Applications of Maxima and Minima Module - X
Video - 00:16:00 mins
Applications of Maxima and Minima Module - XI
Video - 00:29:00 mins
Applications of Maxima and Minima Module - XII
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CHAPTER-6: CALCULUS: INDEFINITE INTEGRALS
Chapter-6: CALCULUS: INDEFINITE INTEGRALS
Introduction / Concept/ formation of formulaes
Video - 00:35:00 mins
Basic Integration Module- I
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Basic Integration Module- II
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Basic Integration Module- III
Video - 00:17:00 mins
Basic Integration Module- IV
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Integration of Particular Functions Module - I
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Integration of Particular Functions Module - II
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Integration of Particular Functions Module - III
Video - 00:14:00 mins
Integration of Particular Functions Module - IV
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Integration of Particular Functions Module - V
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Integration of Particular Functions Module - VI
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Integration of Particular Functions Module - VII
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Integration of Particular Functions Module - VIII
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Integration of Particular Functions Module - IX
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Integration by Parts Module - I
Video - 10:39 mins
Integration by Parts Module - II
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Integration by Parts Module - III
Video - 15:56 mins
Integration by Parts Module - IV
Video - 13:50 mins
Integration by Parts Module - V
Video - 14:01 mins
Integration by Parts Module - XI
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Integration by Parts Module - XII
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Integration by Parts Module - XIII
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Integration by Parts Module - XIV
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Integration by Parts Module - XV
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Integration by Parts Module - XVI
Video - 14:01 mins
Integration by Partial Fractions Module I
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Integration by Partial Fractions Module II
Video - 00:14:00 mins
Integration by Partial Fractions Module III
Video - 00:26:00 mins
Integration by Partial Fractions Module IV
Video - 00:21:00 mins
Integration by Partial Fractions Module V
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Integration by Partial Fractions Module VI
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Integration by Partial Fractions Module VII
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Integration by Partial Fractions Module VIII
Video - 13:59 mins
Integrals of Special Type Module I
Video - 15:53 mins
Integrals of Special Type Module II
Video - 00:15:00 mins
Integrals of Special Type Module III
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Integrals of Special Type Module IV
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Integrals of Special Type Module V
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Integrals of Special Type Module VI
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Integrals of Special Type Module VII
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Integrals of Special Type Module VIII
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Integrals of Special Type Module IX
Video - 00:13:00 mins
CHAPTER-7: DEFINITE INTEGRALS
CHAPTER-7: DEFINITE INTEGRALS
Problems related to Definite Integrals Module I
Video - 25:32 mins
Problems related to Definite Integrals Module II
Video - 00:31:00 mins
Problems related to Definite Integrals Module III
Video - 00:30:00 mins
Problems related to Definite Integrals Module IV
Video - 00:25:00 mins
Problems related to Definite Integrals Module V
Video - 00:15:00 mins
Problems related to Definite Integrals Module VI
Video - 00:18:00 mins
Problems related to Definite Integrals Module VII
Video - 00:43:00 mins
Problems related to Definite Integrals Module VIII
Video - 00:25:00 mins
Problems related to Definite Integrals Module IX
Video - 00:25:00 mins
Problems related to Definite Integrals Module X
Video - 00:25:00 mins
Problems related to Definite Integrals Module XI
Video - 00:24:00 mins
Properties of Definite Integrals Module I
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Properties of Definite Integrals Module II
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Properties of Definite Integrals Module III
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Properties of Definite Integrals Module IV
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Properties of Definite Integrals Module V
Video - 00:23:00 mins
Properties of Definite Integrals Module VI
Video - 00:21:00 mins
Properties of Definite Integrals Module VII
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Properties of Definite Integrals Module VIII
Video - 00:44:00 mins
CHAPTER-8: APPLICATIONS OF INTEGRALS
CHAPTER-8: APPLICATIONS OF INTEGRALS
Area under the curves Module I
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Area under the curves Module II
Video - 00:26:00 mins
Area under the curves Module III
Video - 00:35:00 mins
Combination of Parabola and Line Module I
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Combination of Parabola and Line Module II
Video - 00:39:00 mins
Combination of Two Circles. Module I
Video - 00:21:00 mins
Combination of Two Circles. Module II
Video - 00:12:00 mins
Combination of Two Parabolas Module I
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Combination of Two Parabolas Module II
Video - 00:16:00 mins
Combination of Parabola and Circle Module I
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Combination of Parabola and Circle Module II
Video - 00:27:00 mins
Combination of Parabola and Circle Module III
Video - 00:33:00 mins
Area enclosed by Triangle Module I
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Area enclosed by Triangle Module II
Video - 00:35:00 mins
Area enclosed between Ellipse and a line
Video - 00:12:00 mins
Area enclosed between Circle and a line
Video - 00:9:00 mins
CHAPTER-9: DIFEERENTIAL EQUATIONS
Formation of Differential Family of Equations Module -I
Video - 00:22:00 mins
Formation of Differential Family of Equations Module -II
Video - 00:13:00 mins
Method of separating the Variables Module -I
Video - 00:53:00 mins
Method of separating the Variables Module -II
Video - 00:35:00 mins
Simplification of Homogeneous Differential Equation Module - I
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Simplification of Homogeneous Differential Equation Module - II
Video - 00:12:00 mins
Simplification of Homogeneous Differential Equation Module - III
Video - 00:11:00 mins
Problems Involving Integrating Factor Module I
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Problems Involving Integrating Factor Module II
Video - 00:16:00 mins
Problems Involving Integrating Factor Module III
Video - 00:18:00 mins
Problems Involving Integrating Factor Module IV
Video - 00:7:00 mins
chapter-10: VECTORS AND THREE DIMENSIONAL GEOEMTRY
Basic Concepts/ Terms / Definitions
Video - 00:32:00 mins
Triangle law of Vector Addition
Video - 00:33:00 mins
Concept of Collinearity Module I
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Concept of Collinearity Module II
Video - 00:37:00 mins
Problems Related to unit vector
Video - 00:36:00 mins
Finding a unit vector in direction of given vector
Video - 00:13:00 mins
Concept of Coplanar Vectors
Video - 00:48:00 mins
Concept of Scalar Product/ Dot Product
Video - 00:55:00 mins
Scalar Product/Dot Product Continued Module I
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Scalar Product/Dot Product Continued Module II
Video - 00:53:00 mins
Scalar Product/Dot Product Continued Module III
Video - 00:42:00 mins
Concept of Cross Product/ Vector Product
Video - 00:46:00 mins
Cross Product/ Vector Product Continued Module - I
Video - 00:56:00 mins
Cross Product/ Vector Product Continued Module - II
Video - 00:48:00 mins
Cross Product/ Vector Product Continued Module - III
Video - 00:48:00 mins
Geometrical Proofs related to Dot and Cross Products
Video - 00:50:00 mins
CHAPTER – 11 THREE DIMENSIONAL
CHAPTER - 11 THREE DIMENSIONAL
Concept of Direction Ratios and Direction Cosines Module - I
Video - 00:59:00 mins
Concept of Direction Ratios and Direction Cosines Module - II
Video - 1:2:00 mins
Concept of Direction Ratios and Direction Cosines Module - III
Video - 00:59:00 mins
Lines Module - I
Video - 00:57:00 mins
Lines Module - II
Video - 1:11:00 mins
Lines Module - III
Video - 1:6:00 mins
Lines Module - IV
Video - 00:55:00 mins
CHAPTER 12: PROBABILITY
CHAPTER 12: PROBABILITY
Concept of Conditional Probability Module - I
Video - 22:11 mins
Concept of Conditional Probability Module - II
Video - 00:26:00 mins
Concept of Conditional Probability Module - III
Video - 00:28:00 mins
Law of Multiplication Module - I
Video - 00:26:00 mins
Law of Multiplication Module - II
Video - 00:29:00 mins
Law of Multiplication Module - III
Video - 00:25:00 mins
Independent Events Module - I
Video - 00:23:00 mins
Independent Events Module - II
Video - 00:31:00 mins
Independent Events Module - III
Video - 00:35:00 mins
Independent Events Module - IV
Video - 00:42:00 mins
Law of total Probability Module - I
Video - 00:25:00 mins
Law of total Probability Module - II
Video - 00:20:00 mins
Law of total Probability Module - III
Video - 00:15:00 mins
BAYES theorem Module I
Video - 00:29:00 mins
BAYES theorem Module II
Video - 00:16:00 mins
BAYES theorem Module III
Video - 00:25:00 mins
BAYES theorem Module IV
Video - 00:52:00 mins
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