Maths for Class-12 Online Preparation: Comprehensive Guide for Entrance Exams
About Course
Course Description
Maths for Class-12 Online Preparation is a comprehensive online course offered by EPCLAND, designed to help students excel in their Class-12 Maths exams and competitive exams such as JEE, Olympiad, CBSE, NCERT, and various engineering entrance tests. With 310+ detailed lectures and over 145 hours of content, this course covers all essential topics required for mastering Class-12 Maths and provides practice for real-world exam scenarios.
What You Will Learn in Maths for Class-12 Online Preparation
Students will gain in-depth knowledge in key areas of Class-12 Maths, including:
- Relations and Functions: Cartesian products, domains, ranges, reflexive, symmetric, transitive relations, and bijective functions.
- Inverse Trigonometric Functions: Graphs, properties, and problem-solving for ITFs.
- Matrices and Determinants: Matrix types, multiplication, inverses, properties of determinants, and solving equations.
- Continuity and Differentiability: Higher-order differentiation, implicit functions, and continuity concepts.
- Applications of Derivatives: Increasing/decreasing functions, tangents, normals, maxima/minima.
- Indefinite Integrals: Integration techniques including by parts and partial fractions.
- Definite Integrals: Properties and applications.
- Applications of Integrals: Areas under curves and combined geometric shapes.
- Differential Equations: Methods of solving and applications.
Target Audience
This course is ideal for:
- Class-12 students aiming to strengthen their understanding of core maths concepts.
- JEE aspirants looking to improve problem-solving skills.
- Students preparing for Olympiad exams.
- Candidates for engineering entrance exams seeking comprehensive preparation.
Why Choose EPCLAND for Maths for Class-12?
- Comprehensive Learning: 310+ lectures and 145+ hours of video content.
- Exam-Ready Practice: Mock tests, practice problems, and real-time exam simulations.
- Structured Modules: Clear, manageable lessons for complex topics.
- Expert Guidance: Learn from experienced tutors with proven success in competitive exams.
Course Highlights
- Total Lectures: 310+
- Total Hours: 145+
Includes video lessons, quizzes, and exam-oriented modules for complete preparation.
What Will You Learn?
- Relations and Functions: Learn about Cartesian products, domains, ranges, reflexive, symmetric, transitive relations, and bijective functions.
- Inverse Trigonometric Functions: Understand the graphs, properties, and problems related to inverse trigonometric functions (ITFs).
- Matrices and Determinants: Explore matrix types, multiplication, inverses, properties of determinants, and solving equations.
- Continuity and Differentiability: Master the concepts of continuity and differentiability, including higher-order differentiation and implicit functions.
- Applications of Derivatives: Solve problems related to increasing and decreasing functions, tangents, normals, and maxima/minima.
- Indefinite Integrals: Learn the integration of various functions, including integration by parts and partial fractions.
- Definite Integrals: Explore applications and properties of definite integrals.
- Applications of Integrals: Solve problems related to areas under curves, and combinations of geometric shapes like parabolas and circles.
- Differential Equations: Understand the methods of solving differential equations and their applications.
Course Content
CHAPTER – 1. RELATIONS AND FUNCTIONS
CHAPTER - 1. RELATIONS AND FUNCTIONS
-
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
-
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
24:39 -
Properties of ITFs Module-II
26:46 -
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
-
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
23:46 -
Properties of Determinants Module -I
11:44 -
Properties of Determinants Module -III
20:57 -
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
-
58:22
-
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
-
Increasing and Decreasing Functions Module – I
13:09 -
Increasing and Decreasing Functions Module – II
14:07 -
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
16:53 -
Derivatives as Rate measure Module – II
20:34 -
Derivatives as Rate measure Module – III
15:00 -
Derivatives as Rate measure Module – IV
15:00 -
Maxima and Minima
01:01:36 -
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
-
Introduction / Concept/ formation of formulaes
33:49 -
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
-
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
-
Area under the curves Module I
22:49 -
Area under the curves Module II
26:10 -
Area under the curves Module III
35:23 -
Area under the curves Module IV
32:36 -
Area under the curves Module V
29:48 -
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
-
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
-
32:00
-
Triangle law of Vector Addition
32:34 -
Concept of position vector of a point
25:49 -
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
-
Concept of Direction Ratios and Direction Cosines Module – I
59:46 -
Concept of Direction Ratios and Direction Cosines Module – II
01:02:54 -
Concept of Direction Ratios and Direction Cosines Module – III
59:52 -
Lines Module – I
56:42 -
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
-
Concept of Conditional Probability Module – I
22:11 -
Concept of Conditional Probability Module – II
26:21 -
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
23:12 -
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
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