Crash Course for 12th Board Exam – Master Mathematics
About Course
Unlock your potential and excel in your 12th board exams with our comprehensive Crash Course for 12th Board Exam. This meticulously designed course offers 100+ hours of in-depth content and 220+ video lectures created by subject matter experts with over 17 years of experience. Tailored specifically for students aiming for excellence, this course dives deep into critical mathematics concepts to ensure clarity and confidence in solving complex problems.
Why Choose This Crash Course for 12th Board Exam?
Our Crash Course for 12th Board Exam is your ultimate companion for board preparation. With a focus on conceptual clarity, problem-solving techniques, and step-by-step explanations, this course empowers students to:
-
Master fundamental and advanced mathematics topics.
-
Build confidence with problem-solving strategies.
-
Enhance exam performance with practical examples and exercises.
-
Get personalized learning from top educators in the field.
What Will You Learn?
Unit I: Relations and Functions
-
Cartesian Product of Two Sets
-
Domain, Codomain, and Range of a Relation
-
Reflexive, Symmetric, and Transitive Relations
-
Equivalence Relations with Step-by-Step Solutions
-
Types of Functions and Their Domains and Ranges
-
Graphical Representation and Properties of Functions
-
Bijective Functions and Advanced Problem Solving
Unit II: Matrices and Determinants
-
Matrix Addition, Subtraction, and Multiplication
-
Transpose, Symmetric, and Skew-Symmetric Matrices
-
Inverse of Matrices (2×2 and 3×3)
-
Properties of Determinants and Applications
-
Problems Involving Minor, Cofactor, and Adjoint
-
Solving Linear Equations Using the Matrix Method
Unit III: Calculus
-
Continuity and Differentiability with Problem Solving
-
Basic and Higher-Order Differentiation Techniques
-
Implicit and Explicit Differentiation
-
Applications of Derivatives: Tangents, Normals, and Rate Measures
-
Increasing and Decreasing Functions, Maxima, and Minima
-
Basic Integration Techniques
-
Integration by Parts and Partial Fractions
-
Definite Integrals and Their Properties
Unit IV: Inverse Trigonometric Functions (ITFs)
-
Domain Restrictions and Graphs of ITFs
-
Properties and Problem Solving for ITFs
Who Should Enroll?
This course is designed for:
-
12th-grade students preparing for their board exams.
-
Students aiming for competitive exams like JEE, Olympiads, and Engineering entrances.
-
Learners who want a strong foundation in mathematics.
-
Parents and teachers seeking high-quality resources for their students.
Key Features of the Crash Course for 12th Board Exam
-
100+ hours of video content with detailed explanations.
-
220+ modules covering every essential topic in mathematics.
-
Interactive and engaging lectures by industry veterans.
-
Comprehensive practice problems and solutions.
-
Lifetime access for flexible learning at your own pace.
Start Your Journey Now
Don’t miss this opportunity to excel in your 12th board exams! Enroll in our Crash Course for 12th Board Exam today and unlock a world of mathematical mastery. Whether it’s understanding matrices, mastering calculus, or solving complex relations and functions, this course has everything you need to succeed.
Check All Published Courses
Check Published Courses on EPCLAND
Tutor Profile
What Will You Learn?
- Unit I: Relations and Functions
- Cartesian Product of Two Sets
- Domain, Codomain, and Range of a Relation
- Reflexive, Symmetric, and Transitive Relations
- Equivalence Relations with Step-by-Step Solutions
- Types of Functions and Their Domains and Ranges
- Graphical Representation and Properties of Functions
- Bijective Functions and Advanced Problem Solving
- Unit II: Matrices and Determinants
- Matrix Addition, Subtraction, and Multiplication
- Transpose, Symmetric, and Skew-Symmetric Matrices
- Inverse of Matrices (2x2 and 3x3)
- Properties of Determinants and Applications
- Problems Involving Minor, Cofactor, and Adjoint
- Solving Linear Equations Using the Matrix Method
- Unit III: Calculus
- Continuity and Differentiability with Problem Solving
- Basic and Higher-Order Differentiation Techniques
- Implicit and Explicit Differentiation
- Applications of Derivatives: Tangents, Normals, and Rate Measures
- Increasing and Decreasing Functions, Maxima, and Minima
- Basic Integration Techniques
- Integration by Parts and Partial Fractions
- Definite Integrals and Their Properties
- Unit IV: Inverse Trigonometric Functions (ITFs)
- Domain Restrictions and Graphs of ITFs
- Properties and Problem Solving for ITFs
Course Content
CHAPTER – 1. RELATIONS AND FUNCTIONS
CHAPTER - 1. RELATIONS AND FUNCTIONS
-
Cartesian Product of two sets
28:43 -
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 -
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
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 -
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 -
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
-
58:00
-
Concept of Continuity and related Problems Module – II
47:00 -
Concept of Continuity and related Problems Module – III
45:00 -
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
13:00 -
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 – VIII
36:00 -
Increasing and Decreasing Functions Module – IX
01:20:00 -
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
CHAPTER-6: CALCULUS: INDEFINITE INTEGRALS
Chapter-6: CALCULUS: INDEFINITE INTEGRALS
-
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 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 – 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
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 -
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
CHAPTER-8: APPLICATIONS OF INTEGRALS
CHAPTER-8: APPLICATIONS OF INTEGRALS
-
Area under the curves Module I
23:00 -
Area under the curves Module II
26:00 -
Area under the curves Module III
35:00 -
Combination of Parabola and Line Module I
37:00 -
Combination of Parabola and Line Module II
39:00 -
Combination of Two Circles. Module I
21:00 -
Combination of Two Circles. Module II
12:00 -
Combination of Two Parabolas Module I
16:00 -
Combination of Two Parabolas Module II
16:00 -
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
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
33:00 -
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
59:00 -
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
CHAPTER 12: PROBABILITY
CHAPTER 12: PROBABILITY
-
Concept of Conditional Probability Module – I
22:11 -
Concept of Conditional Probability Module – II
26:00 -
Concept of Conditional Probability Module – III
28:00 -
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 -
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
Earn a certificate
Add this certificate to your resume to demonstrate your skills & increase your chances of getting noticed.
Student Ratings & Reviews
No Review Yet
