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 designed to help students excel in their Class-12 Maths exams and other competitive exams such as the 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?

In this Maths for Class-12 Online Preparation course, students will gain in-depth knowledge in key areas of Class-12 Maths, including:

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.

Target Audience for Maths for Class-12 Online Preparation

This course is designed for students preparing for their Class-12 exams and those aiming to appear for competitive exams like JEE, Olympiad, CBSE, NCERT, and other engineering entrance exams. It’s ideal for:

Class-12 students seeking to strengthen their understanding of core maths concepts.
JEE aspirants aiming to improve their mathematical problem-solving skills.
Students preparing for Olympiad exams looking to deepen their maths knowledge.
Engineering entrance exam candidates looking for comprehensive exam preparation material.

Why Choose Maths for Class-12 Online Preparation?

Comprehensive Learning: With 310+ detailed lectures and more than 145 hours of instructional videos, you will have access to a wide range of topics and problem-solving strategies.
Exam-Ready Practice: The course includes numerous practice problems, mock tests, and real-time exam scenarios to help students assess their progress and boost exam confidence.
Structured Modules: Every chapter is broken down into manageable modules that ensure clarity and help students understand complex concepts with ease.
Expert Guidance: Learn from experienced tutors with years of teaching experience, offering you the support needed to excel in competitive exams.

Exam Brainer is the ideal platform for students preparing for competitive exams in various fields, especially for class 12 Maths, including subjects like Engineering Entrance exams, Olympiad, CBSE, NCERT, and more. The course is designed to offer a detailed and structured learning experience with over 310+ lectures and 145+ hours of engaging content. Each module is carefully crafted to help students understand key mathematical concepts, solve complex problems, and apply their knowledge to excel in their exams. From relations and functions to advanced topics like differential equations and integrals, the content is tailored to provide thorough explanations and effective practice to ensure mastery of the subject.

In addition to in-depth subject matter, Exam Brainer offers students a platform for continuous learning and assessment. Students can test their progress through various practice questions and mock exams, simulating real exam conditions. This helps build confidence and improves time management skills, essential for success in competitive exams. Whether you’re tackling tricky problems in matrices or refining your skills in calculus, Exam Brainer ensures you have access to all the tools you need to perform your best in exams.

By focusing on important topics and providing ample problem-solving opportunities, this course ensures that students develop not only theoretical knowledge but also practical problem-solving skills. The course is tailored to offer a comprehensive understanding of class 12 Maths concepts, enabling students to apply their learning efficiently in competitive exams and real-world situations. The platform encourages students to develop a deep understanding of key mathematical principles, providing the foundation for future academic success.

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Tutor Profile: Deepak Bansal

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

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

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

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

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

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

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

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

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

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

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
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

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About Course

What You Will Learn in Maths for Class-12 Online Preparation?

Target Audience for Maths for Class-12 Online Preparation

Why Choose Maths for Class-12 Online Preparation?

What Will You Learn?

Course Content

CHAPTER – 1. RELATIONS AND FUNCTIONS CHAPTER - 1. RELATIONS AND FUNCTIONS

Cartesian Product of two sets

Domain , Codomain and Range of a Relation Module -I

Domain , Codomain and Range of a Relation Module -II

Reflexive , Symmetric and Transitive relations

Problems related to Equivalence Relation Module – I

Problems related to Equivalence Relation Module – II

Problems related to Equivalence Relation Module – III

Problems related to Equivalence Relation Module – IV

Problems related to Equivalence Relation Module – V

Domain , Codomain and Range of a Function Module -I

Different Types of Functions and their Domains and Range Module I

Different Types of Functions and their Domains and Range Module II

Problems related to Functions Module – I

Problems related to Functions Module – II

Problems related to Domain and Range of given Functions Module – I

Problems related to Domain and Range of given Functions Module – II

Problems related to Domain and Range of given Functions Module – III

Graphical Representation of Functions

Problems related to bijectivity of Functions Module-I

Problems related to bijectivity of Functions Module-II

Problems related to Equivalence Relation Module – IV

Problems related to Equivalence Relation Module – IV

Problems related to bijectivity of Functions Module-V

CHAPTER – 2 INVERSE TRIGONOMETRIC FUNCTIONS CHAPTER - 2 INVERSE TRIGONOMETRIC FUNCTIONS

Concept and need of ITF

Restricting Domain of Sine Function

Restricting Domain of Cosine and tangent Function

Restricting Domain of Cosecant, cotangent and secant Function

Graphs of Inverse Functions Module – I

Graphs of Inverse Functions Module – II

Properties of ITFs Module-I

Properties of ITFs Module-II

Properties of ITFs Module-III

Properties of ITFs Module-IV

Properties of ITFs Module-V

Properties of ITFs Module-VI

Properties of ITFs Module-VII

Properties of ITFs Module-VIII

Problems Related to ITFs Module – I

Problems Related to ITFs Module – II

Problems Related to ITFs Module – III

Problems Related to ITFs Module – IV

Problems Related to ITFs Module – V

Problems Related to ITFs Module – VI

Problems Related to ITFs Module – VII

Problems Related to ITFs Module – VIII

Problems Related to ITFs Module – IX

CHAPTER-3 MATRICES and DETERMINANTS MATRICES and DETERMINANTS

Concept and its Types Module- I

Concept and its Types Module- II

Addition of two matrices

Product of two matrices with same order

Product of two matrices with different order

Problems involving Matrix Multiplication Module – I

Problems involving Matrix Multiplication Module – II

Problems involving Matrix Multiplication Module – III

Transpose of a matrix

Concept of Symmetric and Skew symmetric matrices Module – I

Concept of Symmetric and Skew symmetric matrices Module -II

Concept of Symmetric and Skew symmetric matrices Module – III

Concept of Symmetric and Skew symmetric matrices Module -IV

Concept of Symmetric and Skew symmetric matrices Module – V

Inverse of 2×2 matrices Module – I

Inverse of 2×2 matrices Module – II

Inverse of 3 x 3 matrices Module – I

Inverse of 3 x 3 matrices Module – II

Concept of Determinants and its Expansion & Properties

Properties of Determinants Module -I

Properties of Determinants Module -III

Properties of Determinants Module -III

Finding area of a triangle using Determinants Module – I

Finding area of a triangle using Determinants Module – II

Concept of Minor, Cofactors, Adjoint and Inverse of a matrix

CHAPTER – 1. RELATIONS AND FUNCTIONS
CHAPTER - 1. RELATIONS AND FUNCTIONS

CHAPTER – 2 INVERSE TRIGONOMETRIC FUNCTIONS
CHAPTER - 2 INVERSE TRIGONOMETRIC FUNCTIONS

CHAPTER-3 MATRICES and DETERMINANTS
MATRICES and DETERMINANTS

CHAPTER-4: CALCULUS: CONTINUITY AND DIFFERENTIABILITY
CHAPTER-4: CALCULUS: CONTINUITY AND DIFFERENTIABILITY

Chapter-5: Calculus: APPLICATIONS OF DERIVATIVES
APPLICATIONS OF DERIVATIVES