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Unacademy GATE, ESE & IRMS

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Introduction of Engineering Mathematics

Basics of Linear Algebra

Types of Matrix, according to it's dimension (R,C)

Formation of Matrix with elements position (i,j)

Important Question based on Formation

Transpose of Matrix

Matrix Multiplications

Determinants with Elementary Transformation

Properties of Determinants

Questions related to Basic Operations

Adjoint and Inverse of Matrix

Types of Square Matrix

Characteristics Equation and Eigen Values

Useful Questions for Concept of Eigen Values

Cayley Hamilton's Theorem

Questions related with Eigen Values

Eigen Vectors (Basics

Booklet Questions related with Eigen Vectors

Concept of Diagonalization (through Question) 02

Concept of Diagonalization (through Question) 02

Rank of Matrix (Various Definitions)

Rank of Square and Non Square Matrix

Properties of Rank of Matrix

Booklet Questions of Rank

Solution of Linear Simultaneous Equations (Nonhomogeneous)

QSolution of Linear Simultaneous Equations (Homogeneous Form)

Booklet Questions

Concept of Basis of Vector Space

Questions based on Basis of Vector Space

Miscellaneous (Part 1)

Miscellaneous (Part 2)

Basics of Differential Equations

Representation of Ordinary Differential Equations

Examples to Explain Order and Degree

Solution of Ordinary Differential Equations

Solutions of Homogeneous Differential Equations

Booklet Questions

Solutions of Nonhomogeneous Differential Equations

Booklet Questions

Solution of Cauchy's Linear Differential Equations

First Order First Degree Differential Equations

Booklet Questions

Basics of Non Exact Differential Equations with Examples

Basics of Partial Derivatives

Homogeneous Functions and Euler's Theorem

Booklet Questions

Jacobians with Examples

Basics of Partial Differential Equations with Classification

Solution of Partial Differential Equation

Lagrange's Linear Method with Important Question

Method of Separation of Variables

Miscellaneous Questions

Zero Level Concept of Integration

Zero Level Concept of Integration (Useful Questions)

Basics of Definite Integrals (Properties)

Booklet Questions

Special Function for Single Integral (Gamma Function)

Beta Functions

Booklet Questions

Multiple Integral (Double and Triple)

Change of Order of Double Integral

Useful Questions

Application of Multiple Integrals (Area , Volume, Length)

Booklet Questions

Basics of Proper and Improper Integrals

Basics of Vectors

Basic Applications and Types of Vectors

Booklet Questions

Basics of Del Operator

Gradient, Divergence

Problem Based on G,D

Vector Integral Calculus

Stoke

Booklet Questions (Part 1)

Booklet Questions (Part 2)

Green's Theorem

Concept of Maxima

Analysis of Maxima

Booklet Questions

Concept of Maxima

Miscellaneous Questions on Maxima

Basic of Functions

Basics of Continuity and Differentiability

Booklet Questions

Rolle's, Lagrange and Cauchy's MVT

Booklet Questions

Basic of Complex Variable

Concept of Analytic Function (CR Equations)

Booklet Questions

Formation of Analytic Function (Milne Thomson Method)

Complex Integral

Residues and Residue Theorem

Cauchy's Theorem and Cauchy Integral Formula

Booklet Questions

Basic of Zeros

Complex Series Expansion

Booklet Questions

Basics of Limits (L Hospital Method)

Booklet Questions

Basics of Series Expansion

Taylor and Maclaurin Series

Booklet Questions

Sequence & Series

P Series Test fr convergence

P Series Test Question Practice

D Alembert Ratio test

D Alembert Ratio test Question Practice

PYQ Practice

Concept of Probability

Sample Space 1 (Coins)

Sample Space 2 (Dice)

Sample Space 3 (52 Playing Cards)

Events and Types of Events

Basics of Probability

Booklet Questions

Some More on Probability (Bayes Theorem)

Probability of Distribution (Binomial Distribution)

Booklet Questions

Probability of Distribution (Poison Distribution)

Booklet Questions

Probability of Distribution (Normal Distribution)

Booklet Questions

Concept of Random Variables

Booklet Questions

Properties of Expected Value and Variance

Booklet Questions

Concept of Central Tendency (Mean, Median

Symmetric Distribution

Standard deviation

Questions Based on Central Tendency

Basics of Correlation

Booklet Questions

Miscellaneous on Probability

Methods to solve Non-Linear Algebric Equation

Booklet Questions of Non-Linear Algebric Equation

Methods to solve Differential Equation

Booklet Questions of Differential Equation

Methods to solve Numerical Integrals

Booklet Questions of Numerical Integrals

Basics of Fourier Series

Basics of Laplace Transform

GATE 2018 Solutions

GATE 2018 Solutions

ESE 2018 Solutions

GATE 2019 Solutions

GATE 2019 Solutions

ESE 2019 Solutions

GATE 2020 Solutions

ESE 2020 Solutions

Combat 2019 (Part 1)

Combat 2019 (Part 2)

Combat 2020 (Part 1)

Combat 2020 (Part 2)

Combat 2020 (Part 3)

Combat 2020 (Part 4)

Combat 2021 (Part 1)

Combat 2021 (Part 2)

Combat 2021 (Part 3)

Combat 2021 (Part 4)

PYQs MSQ Extra Practice Questions 01

PYQs MSQ Extra Practice Questions 02

PYQs MSQ Extra Practice Questions 03

PYQs MSQ Extra Practice Questions 04

PYQs MSQ Extra Practice Questions 05

PYQs MSQ Extra Practice Questions 06

PYQs MSQ Extra Practice Questions 07

PYQs MSQ Extra Practice Questions 08

PYQs MSQ Extra Practice Questions 09

PYQs MSQ Extra Practice Questions 10

PYQs MSQ Extra Practice Questions 11

PYQs MSQ Extra Practice Questions 12

PYQs MSQ Extra Practice Questions 13

PYQs MSQ Extra Practice Questions 14

PYQs MSQ Extra Practice Questions 15

PYQs MSQ Extra Practice Questions 16

MATHC15L17 PYQs MSQ Extra Practice Questions 17

PYQs MSQ Extra Practice Questions 18

PYQs MSQ Extra Practice Questions 19

PYQs MSQ Extra Practice Questions 20

PYQs MSQ Extra Practice Questions 21

PYQs MSQ Extra Practice Questions 22

PYQs MSQ Extra Practice Questions 23

Types of ESE Questions (Maths Paper 1)

ESE PYQs (Part 1)

ESE PYQs (Part 2)

ESE PYQs (Part 3)

ESE PYQs (Part 4)

ESE PYQs (Part 5)

ESE PYQs (Part 6)

ESE PYQs (Part 7)

ESE PYQs (Part 8)

ESE PYQs (Part 9)

ESE PYQs (Part 10)

ESE PYQs (Part 11)

Numbers Categorization

Concept of Index of Greatest Power (IGP)

Questions Based on IGP

Number of Zeroes Concept

Concept of Cyclicity Finding Unit Digit Value

Questions Based on Unit Digit Value 01

Questions Based on Unit Digit Value 02

Finding Last Two Digits

Divisibility Rule Concept

Questions Based on Divisibility Rule

Divisibility Rule (Question 22)

Divisibility for Algebraic function

Factorization

Questions Based on Factorization

Discussion on Coprime Numbers

Concept of Remainders

Remainders Theorem

Questions 37-38

Questions 39-43

Questions 44-45

Questions 46-49

Sequence

Questions 50-52

Questions 53-57

Questions 58-62

Questions 63-68

Remainders Theorem (Question 70)

CPQ 71-80

CPQ 81-86

CPQ 87-89

LCM

Introduction to PnC

How to use Permutation

Questions 1-5

Questions 6-7

SPQ 1

Questions 10-11

Questions 12-14

Questions 15

Number of Arrangements Concept

Number of Combination Concept with Question 21

Dictionary Word Questions 22-23

Question 32

Straight Lines, Triangles, Chess Board

Number of Squares

Question 16

CPQ 18, 20

CPQ 33, 37, 38

Probability Basics (Part 1)

Probability Basics (Part 2)

Types of Events

CPQ 1-2

CPQ 3

CPQ 5-6

CPQ 4

CPQ 7-8

CPQ 9

CPQ 11

CPQ 14

CPQ 15

CPQ 16

CPQ 17

CPQ 18-20

CPQ 21-22

CPQ 23-24

CPQ 25-29

CPQ 30-34

CPQ 12

CPQ 35, 38

Introduction to Time

Workbook Questions 1-5

Workbook Questions 6-9

Workbook Questions 10-14

Workbook Questions 15-16

Workbook Questions 17-20

Workbook Questions 21-26

Introduction to Percentage

Workbook Questions 1-5

Workbook Questions 6-7

Workbook Questions 8-9

Workbook Questions 11-15

Workbook Questions 16-20

Workbook Questions 21-25

Workbook Questions 26-30

Workbook Questions 31-34

Introduction to Time Speed

Workbook Questions 1-5

Workbook Questions 6-10

Workbook Questions 11-15

Workbook Questions 16-20

Workbook Questions 21-25

Introduction to Average

Workbook Questions 1-5

Workbook Questions 5-8

Workbook Questions 8-10

Workbook Questions 11-15

Workbook Questions 16-20

Workbook Questions 21-25

Workbook Questions 26-30

Introduction to Geometry

Workbook Questions 1-5

Workbook Questions 6-9

Workbook Questions 10-14

Workbook Questions 15-16

Workbook Questions 17-19

Workbook Questions 21-25

Workbook Questions 26-29

Workbook Questions 31-35

Introduction to Data Interpretation

Workbook Questions 1-4

Workbook Questions 5-8

Workbook Questions 9-11

Workbook Questions 12-14

Workbook Questions 16-20

Workbook Questions 21-32

Workbook Questions 22-24, 28

Workbook Questions 25-27

Workbook Questions 29-30

Direction - Basic Concepts CBQ

Direction PYQ Q11-016

Direction - Point - Q17-019

Direction - Shadow - Q20-024

Clock - Basic Concepts

Clock - CBQ Q1-Q8

Clock - Angle Between Hands - 29-010

Clock Q11-014

Clock - Error Clock - Q15-022

Clock - Mirror

Counting of Figure Q1-Q4

Blood Relation - Basic Concepts

Blood Relation Q1-Q4

Blood Relation 25-010

Coding Decoding - Basic Concepts

Coding Decoding - Process

Coding Decoding - Letter to Number Process

Coding Decoding - PYQ Q1-09

Coding Decoding - Letter Series Q10-015

Coding Decoding - Odd One Out Q16-020

Coding Decoding - Number Series Q21-227

Ranking - Basic Concepts Q1-Q7

Order - Basics 08-015

Venn Diagram - Basic Concepts

Venn Diagram Q1-Q2

Venn Diagram 03-013

Contour Lines Q14-016

Syllogism - Basic Concepts

Syllogism - All A are B - Relationship

Syllogism - Some A are B - Relationship

Syllogism - No A are - Relationship

Syllogism - Some A are not B - Relationship

Syllogism Q1-Q12

Practice Table 1

Syllogism - Practice Table 2

Analogy - Basic Concepts

Analogy - Q1-Q18

Seating Arrangement - Circular Q1-Q4

Seating Arrangement - Linear Q5-Q11

Seating Arrangement - Square Q12-Q18

Logical Puzzle Q1-07

Logical Puzzle 08-Q11

Logical Puzzle Q12-Q16

Logical - Basic Concepts

Logical Q1-Q10

Mirror & Water Images

Paper Cutting

Figure Symmetry

Introduction Tense (Simple) Part 1

Tense (Simple) Part 2

Simple Tense (Past Future)

Continuous Tense

Perfect Tense

Perfect Continuous Tense

Conditional Sentences (Part 1)

Conditional Sentences (Part 2)

Basics (Part 1)

Basics (Part 2)

Basics (Part 3)

Basics (Part 4)

Pronoun (Part 1)

Pronoun (Part 2)

Pronoun (Part 3)

Pronoun (Part 4)

Noun (Part 1)

Noun (Part 2)

Adjective (Part 1)

Adjective (Part 2)

Adjective (Part 3)

Subject Verb Agreement (Part 1)

Subject Verb Agreement (Part 2)

Preposition (Part 1)

Preposition (Part 2) Academic

Verb (Part 1)

Verb (Part 2)

Adverb (Part 1)

Adverb (Part 2)

Conjunction

Articles

Voice (Part 1)

Voice (Part 2)

Voice (Part 3)

Workbook (Part 1) Sentence Completion Sentence Improvement

Workbook (Part 2) Rest Portion