Course Content
CHAPTER – 1. RELATIONS AND FUNCTIONS
CHAPTER - 1. RELATIONS AND FUNCTIONS
0/23
Cartesian Product of two sets
28:43
Domain , Codomain and Range of a Relation Module -I
28:00
Domain , Codomain and Range of a Relation Module -II
28:33
Reflexive , Symmetric and Transitive relations
28:00
Problems related to Equivalence Relation Module – I
41:00
Problems related to Equivalence Relation Module – II
31:00
Problems related to Equivalence Relation Module – III
35:00
Problems related to Equivalence Relation Module – IV
63:00
Problems related to Equivalence Relation Module – V
55:00
Domain , Codomain and Range of a Function Module -I
35:00
Different Types of Functions and their Domains and Range Module I
45:00
Different Types of Functions and their Domains and Range Module II
53:00
Problems related to Functions Module – I
20:00
Problems related to Functions Module – II
38:00
Problems related to Domain and Range of given Functions Module – I
45:00
Problems related to Domain and Range of given Functions Module – II
35:00
Problems related to Domain and Range of given Functions Module – III
36:00
Graphical Representation of Functions
30:00
Problems related to bijectivity of Functions Module-I
43:00
Problems related to bijectivity of Functions Module-II
42:00
Problems related to Equivalence Relation Module – IV
55:00
Problems related to Equivalence Relation Module – IV
55:00
Problems related to bijectivity of Functions Module-V
30:00
CHAPTER – 2 INVERSE TRIGONOMETRIC FUNCTIONS
CHAPTER - 2 INVERSE TRIGONOMETRIC FUNCTIONS
0/23
Concept and need of ITF
26:59
Restricting Domain of Sine Function
18:39
Restricting Domain of Cosine and tangent Function
25:00
Restricting Domain of Cosecant, cotangent and secant Function
26:00
Graphs of Inverse Functions Module – I
27:00
Graphs of Inverse Functions Module – II
25:00
Properties of ITFs Module-I
25:00
Properties of ITFs Module-II
26:00
Properties of ITFs Module-III
28:00
Properties of ITFs Module-IV
25:00
Properties of ITFs Module-V
25:00
Properties of ITFs Module-VI
28:00
Properties of ITFs Module-VII
26:00
Properties of ITFs Module-VIII
27:00
Problems Related to ITFs Module – I
26:00
Problems Related to ITFs Module – II
20:00
Problems Related to ITFs Module – III
20:00
Problems Related to ITFs Module – IV
25:00
Problems Related to ITFs Module – V
28:00
Problems Related to ITFs Module – VI
24:00
Problems Related to ITFs Module – VII
23:00
Problems Related to ITFs Module – VIII
26:00
Problems Related to ITFs Module – IX
28:00
CHAPTER-3 MATRICES and DETERMINANTS
MATRICES and DETERMINANTS
0/37
Concept and its Types Module- I
23:00
Concept and its Types Module- II
23:00
Addition of two matrices
23:00
Product of two matrices with same order
22:00
Product of two matrices with different order
22:00
Problems involving Matrix Multiplication Module – I
22:00
Problems involving Matrix Multiplication Module – II
22:00
Problems involving Matrix Multiplication Module – III
27:00
Transpose of a matrix
23:00
Concept of Symmetric and Skew symmetric matrices Module – I
17:00
Concept of Symmetric and Skew symmetric matrices Module -II
21:00
Concept of Symmetric and Skew symmetric matrices Module – III
18:00
Concept of Symmetric and Skew symmetric matrices Module -IV
24:00
Concept of Symmetric and Skew symmetric matrices Module – V
19:00
Inverse of 2×2 matrices Module – I
28:00
Inverse of 2×2 matrices Module – II
24:00
Inverse of 3 x 3 matrices Module – I
20:00
Inverse of 3 x 3 matrices Module – II
15:00
Concept of Determinants and its Expansion & Properties
23:00
Properties of Determinants Module -I
12:00
Properties of Determinants Module -III
20:00
Properties of Determinants Module -III
20:00
Finding area of a triangle using Determinants Module – I
17:00
Finding area of a triangle using Determinants Module – II
22:00
Concept of Minor, Cofactors, Adjoint and Inverse of a matrix
17:00
Properties of Adjoint Module – I
22:00
Properties of Adjoint Module – II
11:00
Properties of Adjoint Module – III
23:00
Properties of Adjoint Module – IV
10:00
Problems related to Minor, Cofactors, Adjoint and Inverse of a matrix – I
18:00
Problems related to Minor, Cofactors, Adjoint and Inverse of a matrix – II
17:00
Problems related to Minor, Cofactors, Adjoint and Inverse of a matrix – III
16:00
Problems related to Minor, Cofactors, Adjoint and Inverse of a matrix – IV
23:00
Matrix Method Module -I
19:00
Matrix Method Module -II
18:00
Simplification of set of equations Module – I
20:00
Simplification of set of equations Module – II
05:00
CHAPTER-4: CALCULUS: CONTINUITY AND DIFFERENTIABILITY
CHAPTER-4: CALCULUS: CONTINUITY AND DIFFERENTIABILITY
0/22
Concept of Continuity and related Problems Module – I
58:00
Concept of Continuity and related Problems Module – II
47:00
Concept of Continuity and related Problems Module – III
45:00
Concept of Continuity and related Problems Module – IV
42:00
Concept of Continuity and related Problems Module – V
51:00
Concept of Differentiability Module -I
21:00
Concept of Differentiability Module -II
49:00
Concept of Differentiability Module -III
48:00
Basics for Carrying Differentiation
01:12:00
Basic Differentiation Module – I
48:00
Basic Differentiation Module – II
53:00
Implicit and Explicit Functions Module – I
22:00
Implicit and Explicit Functions Module – II
51:00
Differentiation of Inverse Trigonometric Functions Module – I
01:09:00
Differentiation of Inverse Trigonometric Functions Module – II
45:00
Differentiation of Inverse Trigonometric Functions Module – III
58:00
Logarithmic Differentiation Module – I
01:06:00
Logarithmic Differentiation Module – II
56:00
Infinite order Differentiation
28:00
Higher order Differentiation Module – I
28:00
Higher order Differentiation Module – II
42:00
Parametric Form
51:00
Chapter-5: Calculus: APPLICATIONS OF DERIVATIVES
APPLICATIONS OF DERIVATIVES
0/40
Increasing and Decreasing Functions Module – I
13:00
Increasing and Decreasing Functions Module – II
14:00
Increasing and Decreasing Functions Module – III
12:00
Increasing and Decreasing Functions Module – IV
16:00
Increasing and Decreasing Functions Module – V
18:00
Increasing and Decreasing Functions Module – VI
18:00
Increasing and Decreasing Functions Module – VII
36:00
Increasing and Decreasing Functions Module – VIII
36:00
Increasing and Decreasing Functions Module – IX
01:20:00
Tangents and Normals Module -I
40:00
Tangents and Normals Module -II
30:00
Tangents and Normals Module -III
09:00
Tangents and Normals Module -IV
47:00
Tangents and Normals Module -V
36:00
Tangents and Normals Module -VI
55:00
Derivatives as Rate measure Module – I
17:00
Derivatives as Rate measure Module – II
21:00
Derivatives as Rate measure Module – III
15:00
Derivatives as Rate measure Module – IV
15:00
Maxima and Minima
01:01:00
Applications of Maxima and Minima Module – I
15:00
Applications of Maxima and Minima Module – Ii
13:00
Applications of Maxima and Minima Module – Iii
17:00
Applications of Maxima and Minima Module – IV
21:00
Applications of Maxima and Minima Module – V
36:00
Applications of Maxima and Minima Module – VI
21:00
Applications of Maxima and Minima Module – VII
26:00
Applications of Maxima and Minima Module – VIIi
20:00
Applications of Maxima and Minima Module – IX
20:00
Applications of Maxima and Minima Module – X
16:00
Applications of Maxima and Minima Module – XI
29:00
Applications of Maxima and Minima Module – XII
16:00
Applications of Maxima and Minima Module – XIII
25:00
Applications of Maxima and Minima Module – XIV
20:00
Applications of Maxima and Minima Module – XV
14:00
Applications of Maxima and Minima Module – XVI
15:00
Applications of Maxima and Minima Module – XVII
24:00
Applications of Maxima and Minima Module – XVIII
22:00
Applications of Maxima and Minima Module – XIX
12:00
Applications of Maxima and Minima Module – XX
28:00
CHAPTER-6: CALCULUS: INDEFINITE INTEGRALS
Chapter-6: CALCULUS: INDEFINITE INTEGRALS
0/58
Introduction / Concept/ formation of formulaes
35:00
Basic Integration Module- I
14:00
Basic Integration Module- II
15:00
Basic Integration Module- III
17:00
Basic Integration Module- IV
20:00
Integration of Particular Functions Module – I
35:00
Integration of Particular Functions Module – II
22:00
Integration of Particular Functions Module – III
14:00
Integration of Particular Functions Module – IV
10:00
Integration of Particular Functions Module – V
10:00
Integration of Particular Functions Module – VI
14:00
Integration of Particular Functions Module – VII
13:00
Integration of Particular Functions Module – VIII
17:00
Integration of Particular Functions Module – IX
20:00
Integration of Particular Functions Module – X
12:00
Integration of Particular Functions Module – XI
22:00
Integration of Particular Functions Module – XII
18:00
Integration of Particular Functions Module – XIII
12:00
Integration by Parts Module – I
10:39
Integration by Parts Module – II
14:15
Integration by Parts Module – III
15:56
Integration by Parts Module – IV
13:50
Integration by Parts Module – V
14:01
Integration by Parts Module – VI
09:04
Integration by Parts Module – VII
12:00
Integration by Parts Module – VIII
16:00
Integration by Parts Module – IX
19:00
Integration by Parts Module – X
12:00
Integration by Parts Module – XI
11:00
Integration by Parts Module – XII
14:00
Integration by Parts Module – XIII
18:00
Integration by Parts Module – XIV
11:00
Integration by Parts Module – XV
20:00
Integration by Parts Module – XVI
14:01
Integration by Partial Fractions Module I
19:06
Integration by Partial Fractions Module II
14:00
Integration by Partial Fractions Module III
26:00
Integration by Partial Fractions Module IV
21:00
Integration by Partial Fractions Module V
16:00
Integration by Partial Fractions Module VI
26:00
Integration by Partial Fractions Module VII
20:00
Integration by Partial Fractions Module VIII
13:59
Integrals of Special Type Module I
15:53
Integrals of Special Type Module II
15:00
Integrals of Special Type Module III
11:00
Integrals of Special Type Module IV
16:00
Integrals of Special Type Module V
14:00
Integrals of Special Type Module VI
17:00
Integrals of Special Type Module VII
15:00
Integrals of Special Type Module VIII
17:00
Integrals of Special Type Module IX
13:00
Integrals of Special Type Module X
14:00
Integrals of Special Type Module XI
11:00
Integrals of Special Type Module XII
10:00
Integrals of Special Type Module XIII
23:00
Integrals of Special Type Module XIV
23:00
Integrals of Special Type Module XV
28:00
Integrals of Special Type Module XVI
14:00
CHAPTER-7: DEFINITE INTEGRALS
CHAPTER-7: DEFINITE INTEGRALS
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Problems related to Definite Integrals Module I
25:32
Problems related to Definite Integrals Module II
31:00
Problems related to Definite Integrals Module III
30:00
Problems related to Definite Integrals Module IV
25:00
Problems related to Definite Integrals Module V
15:00
Problems related to Definite Integrals Module VI
18:00
Problems related to Definite Integrals Module VII
43:00
Problems related to Definite Integrals Module VIII
25:00
Problems related to Definite Integrals Module IX
25:00
Problems related to Definite Integrals Module X
25:00
Problems related to Definite Integrals Module XI
24:00
Problems related to Definite Integrals Module XII
31:00
Problems related to Definite Integrals Module XIII
32:00
Properties of Definite Integrals Module I
23:30
Properties of Definite Integrals Module II
25:00
Properties of Definite Integrals Module III
24:00
Properties of Definite Integrals Module IV
24:00
Properties of Definite Integrals Module V
23:00
Properties of Definite Integrals Module VI
21:00
Properties of Definite Integrals Module VII
24:00
Properties of Definite Integrals Module VIII
44:00
Properties of Definite Integrals Module IX
54:00
Properties of Definite Integrals Module X
37:00
CHAPTER-8: APPLICATIONS OF INTEGRALS
CHAPTER-8: APPLICATIONS OF INTEGRALS
0/25
Area under the curves Module I
23:00
Area under the curves Module II
26:00
Area under the curves Module III
35:00
Area under the curves Module IV
33:00
Area under the curves Module V
30:00
Combination of Parabola and Line Module I
37:00
Combination of Parabola and Line Module II
39:00
Combination of Parabola and Line Module III
32:00
Combination of Two Circles. Module I
21:00
Combination of Two Circles. Module II
12:00
Combination of Two Circles Module III
21:00
Combination of Two Parabolas Module I
16:00
Combination of Two Parabolas Module II
16:00
Combination of Two Parabolas Module III
26:00
Combination of Parabola and Circle Module I
16:00
Combination of Parabola and Circle Module II
27:00
Combination of Parabola and Circle Module III
33:00
Area enclosed by Triangle Module I
31:00
Area enclosed by Triangle Module II
35:00
Area enclosed between Ellipse and a line
12:00
Area enclosed between Circle and a line
09:00
Mixed Problems Module I
09:00
Mixed Problems Module II
16:00
Mixed Problems Module III
22:00
Mixed Problems Module IV
14:00
CHAPTER-9: DIFEERENTIAL EQUATIONS
0/11
Formation of Differential Family of Equations Module -I
22:00
Formation of Differential Family of Equations Module -II
13:00
Method of separating the Variables Module -I
53:00
Method of separating the Variables Module -II
35:00
Simplification of Homogeneous Differential Equation Module – I
24:00
Simplification of Homogeneous Differential Equation Module – II
12:00
Simplification of Homogeneous Differential Equation Module – III
11:00
Problems Involving Integrating Factor Module I
16:00
Problems Involving Integrating Factor Module II
16:00
Problems Involving Integrating Factor Module III
18:00
Problems Involving Integrating Factor Module IV
07:00
chapter-10: VECTORS AND THREE DIMENSIONAL GEOEMTRY
0/21
Basic Concepts/ Terms / Definitions
32:00
Triangle law of Vector Addition
33:00
Concept of position vector of a point
26:00
Geometrical Proofs Module I
33:00
Geometrical Proofs Module II
32:00
Geometrical Proofs Module III
42:00
Components of a vector
40:00
Concept of Collinearity Module I
21:00
Concept of Collinearity Module II
37:00
Problems Related to unit vector
36:00
Finding a unit vector in direction of given vector
13:00
Concept of Coplanar Vectors
48:00
Concept of Scalar Product/ Dot Product
55:00
Scalar Product/Dot Product Continued Module I
50:00
Scalar Product/Dot Product Continued Module II
53:00
Scalar Product/Dot Product Continued Module III
42:00
Concept of Cross Product/ Vector Product
46:00
Cross Product/ Vector Product Continued Module – I
56:00
Cross Product/ Vector Product Continued Module – II
48:00
Cross Product/ Vector Product Continued Module – III
48:00
Geometrical Proofs related to Dot and Cross Products
50:00
CHAPTER – 11 THREE DIMENSIONAL
CHAPTER - 11 THREE DIMENSIONAL
0/8
Concept of Direction Ratios and Direction Cosines Module – I
59:00
Concept of Direction Ratios and Direction Cosines Module – II
01:02:00
Concept of Direction Ratios and Direction Cosines Module – III
59:00
Lines Module – I
57:00
Lines Module – II
01:11:00
Lines Module – III
01:06:00
Lines Module – IV
55:00
Lines Module – V
01:02:00
CHAPTER 12: PROBABILITY
CHAPTER 12: PROBABILITY
0/23
Concept of Conditional Probability Module – I
22:11
Concept of Conditional Probability Module – II
26:00
Concept of Conditional Probability Module – III
28:00
Concept of Conditional Probability Module – IV
30:00
Concept of Conditional Probability Module – V
21:00
Law of Multiplication Module – I
26:00
Law of Multiplication Module – II
29:00
Law of Multiplication Module – III
25:00
Independent Events Module – I
23:00
Independent Events Module – II
31:00
Independent Events Module – III
35:00
Independent Events Module – IV
42:00
Independent Events Module – V
22:00
Independent Events Module – V
29:00
Independent Events Module – VII
20:00
Independent Events Module – VIII
03:00
Law of total Probability Module – I
25:00
Law of total Probability Module – II
20:00
Law of total Probability Module – III
15:00
BAYES theorem Module I
29:00
BAYES theorem Module II
16:00
BAYES theorem Module III
25:00
BAYES theorem Module IV
52:00
Maths for Class-12 Online Preparation: Comprehensive Guide for Entrance Exams
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