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Index

Sets

Relations

Functions

Problems for Practice

Revision Notes

Complex Number

Determinants

Group Theory

Ring Theory

Field Theory

Polynomials

Sequence

Series

Some important series

Problems for practice

Revision notes

Matrices

All Exams > Mathematics > Algebra > All Notes

All notes of Algebra for Mathematics Exam

Sets

Types of Set

6 pages

Introduction to sets

9 pages

Venn Diagrams and Operations on Sets

6 pages

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Relations

Representation of Functions

1 page

Introduction, Relations

2 pages

Types of Relations

3 pages

Algebra of Real Functions

2 pages

Binary Operations

3 pages

Functions

Introduction, Functions

2 pages

Types of Functions

5 pages

Composition of Functions and Invertible Function

3 pages

Cartesian Product of Sets

2 pages

Problems for Practice

Problems for Practice

9 pages

Revision Notes

Revision Notes: Relations and Functions

10 pages

Complex Number

Basics of Complex Numbers

4 pages

Argand Plane and Polar Representation

4 pages

Complex Number With Examples

6 pages

Modulus and Conjugate of a Complex Number

2 pages

Operations on Complex Numbers

3 pages

Problems for Practice - Complex Numbers

2 pages

Revision Notes - Complex Numbers

7 pages

Determinants

Determinant of a Matrix

4 pages

Area of a Triangle Using Determinants

6 pages

Group Theory

Groups, Subgroups, Cyclic Groups and Permutation Groups

8 pages

Normal Subgroups,Quotient Groups and Homomorphisms

1 page

Homomorphism, Group Theory

5 pages

Cayley’s theorem

1 page

Class Equations

10 pages

Ring Theory

Rings, Ideals, Quotient Rings - Ring Theory

4 pages

Prime and Maximal Ideals

7 pages

Unique Factorization Domain

6 pages

Principal Ideal Domain

2 pages

Euclidean Domain

1 page

Field Theory

Finite Fields - Field Theory

5 pages

Fields - Field Theory

10 pages

Polynomials

Polynomial and its Types

3 pages

Degree of Polynomial

2 pages

Zeroes of Polynomial

4 pages

Remainder Theorem

6 pages

Value of Polynomial and Division Algorithm - 1

12 pages

Value of Polynomial and Division Algorithm - 2

10 pages

Sequence

Basics of Sequence

20 pages

Series

Problems for practice

15 pages

Basics of Series

10 pages

Convergence/Divergence Of Series

12 pages

Problems for practice

6 pages

Some important series

Power Series

8 pages

Power Series And Functions

7 pages

Taylor Series

9 pages

Binomial Series

1 page

Problems for practice

Problems for Practice - 1

3 pages

Problems for Practice - 2

4 pages

Problems for Practice - 3

7 pages

Problems for Practice - 4

1 page

Revision notes

Revision Notes: Sequence

3 pages

Matrices

Matrices part 1

6 pages

Matrices Part 2

3 pages

Operation on Matrices

10 pages

Algebra

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Revision notes for Algebra 2024 is part of Mathematics exam preparation. The notes have been prepared according to the Mathematics exam syllabus. The revision notes, tests & MCQs are made for Mathematics 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests here.

Notes of Algebra in English & Hindi are available as part of Mathematics exam. Download more important topics, notes, lectures and mock test series for Mathematics Exam by signing up for free.

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