Algebra
Chapters
Fundamental Theory of Arithmetic
Group Theory
Fields
Permutations & Combinations
Invariant/Normal Subgroup
Sylow Theorems
Symmetric Group or Permutation Group
Conjugate Classes and Class Equation
Subring and Ideals
ED, PID & UFD
Algebraic Extension of Fields
Basic Concepts and Definitions
Groups within Groups
Uniform Convergence (Sequence & Series of Function)
Some Important Groups of Infinite Order
Homomorphism and their Counting
Differentiability
Reimann Integration & Bounded Variation and Improper Integral
Continuity
Ring of Polynomials
Some Important Structures
Courses
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Fundamental Theory of Arithmetic
Practice
Lessons
Conformal Map & Rouche's Theorem with Problem Solving
1 hr 23 mins
Complex Integration: Theorems, Results, and Problem Solving
1 hr 24 mins
Integral Equation & Laplace Theorem with Problem Solving
1 hr 25 mins
Group Theory
Notes
Available on android app
Practice
Lessons
Introduction of Group Theory: Sets, Relation & Equivalence class
2 hrs
Congruence relation on Z, Binary operations & Group
2 hrs 3 mins
Important Results, Subgroup, Special Types of Group & Dihedral Group
2 hrs
Permutation Group & Order of Group
2 hrs 4 mins
Order of Group, Abelian Group & Cyclic Group
2 hrs 1 min
Group of Possible Order & Group Theory: Problem Solving
1 hr 59 mins
Subgroup: Cyclic Group, Non Cyclic Group & Problem Solving
2 hrs
Center of the Group Z(G) & Problem Solving
2 hrs
Centralizer of an Element, Coset, Improper & Proper Normal Subgroup
1 hr 55 mins
Symmetric Group & Group Theory: Problem Solving
1 hr 59 mins
Fields
Practice
Lessons
Field, Minimal Polynomial, Kronecker Theorem, and Types of extension
1 hr 27 mins
Permutations & Combinations
Lessons
Modern Algebra: Permutation, Combination & Problem Solving
1 hr 25 mins
Number & Sum of Divisors, Principles of Pigeonhole, and Inclusion & Exclusion
1 hr 35 mins
Permutation & Transposition and Rearrangement & Congruence
1 hr 38 mins
Invariant/Normal Subgroup
Lessons
Invariant/Normal Subgroups - Part I
1 hr 45 mins
Invariant/Normal Subgroups - Part II
1 hr 44 mins
Invariant/Normal Subgroups - Part III
1 hr 42 mins
Sylow Theorems
Lessons
Sylow's I, II & III Theorem & Problem Solving
1 hr 29 mins
Symmetric Group or Permutation Group
Lessons
Symmetric Group/Permutation Group - Part I
1 hr 57 mins
Groups Theory
1 hr 58 mins
Symmetric Group/Permutation Group - Part II
2 hrs 6 mins
Conjugate Classes and Class Equation
Lessons
Conjugate Classes and Class Equations Part I
2 hrs 11 mins
Conjugate Classes and Class Equations Part II
2 hrs 3 mins
Class Equations: Introduction
2 hrs 5 mins
Conjugate Element & Class Equation Part III
2 hrs 10 mins
Subring and Ideals
Lessons
Subring, Ideal & Gaussian Ring, and Problem Solving
1 hr 24 mins
Polynomial Ring and Problem Solving
1 hr 25 mins
ED, PID & UFD
Lessons
PID: Introduction, Theorems, Properties, and Theorem of Number Theory
1 hr 58 mins
GCD, LCM, UFD, and Euclidean Domain
1 hr 33 mins
ED Theorem, Polynomial & Quotient Ring, and Homomorphism
2 hrs 3 mins
Irreducibility of Polynomial: Introduction, Test ,and UFD
2 hrs 4 mins
Irreducibility of Polynomial: Introduction, Test Co Maximal, and Extension of Field
2 hrs 17 mins
Algebraic Extension of Fields
Lessons
Modern Algebra: Problem Solving - I
2 hrs 3 mins
Ring Theory, Commutative Ring, Zero Division, Integral Domain & Skew Field
2 hrs 10 mins
Quadratic Field, PID, Norm on an Integral Domain & Primitive Polynomial
2 hrs 6 mins
Algebraic Elements & Extension, Splitting Field, and Separable Extension
2 hrs 5 mins
Modern Algebra: Problem Solving - II
2 hrs 5 mins
Basic Concepts and Definitions
Lessons
Sets, Relation & its Types, and Abstract Algebra
1 hr 44 mins
Groups within Groups
Lessons
Groups Within Group
2 hrs 13 mins
Uniform Convergence (Sequence & Series of Function)
Lessons
Sequence, Uniform Convergence & Consequence of Uniform Convergence
2 hrs 2 mins
Some Important Groups of Infinite Order
Lessons
Finite & Infinite Groups, and Subgroups
1 hr 53 mins
Homomorphism and their Counting
Lessons
Normal Subgroups, Quotient & Factor Group, and Theorems on Homo-morphisms
1 hr 41 mins
Homomorphism & their Counting - Part I
1 hr 43 mins
Homomorphism & their Counting - Part II
1 hr 43 mins
Differentiability
Lessons
Function: Lipschitz, Differentiability, and Problem Solving
1 hr 30 mins
Reimann Integration & Bounded Variation and Improper Integral
Lessons
Differentiability: Introduction, Cauchy Mean Value Theorem & PYQs
1 hr 33 mins
Continuity
Lessons
Real Analysis: D'alembert Ratio test & Problem Solving
1 hr 32 mins
Real Analysis: Cauchy nth Root & Integral Test, Definitions, and Series
1 hr 31 mins
Ring of Polynomials
Lessons
Degree of a Polynomial, GCD & LCM of Polynomial, and Polynomial Ring
1 hr 22 mins
Some Important Structures
Lessons
Maximal & Prime Ideals, and Some important structures: Problem solving
1 hr 32 mins
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