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

Numerical Methods

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

Multiple Integral (Double and Triple)

Change of Order of Double Integral

Useful Questions

Application of Multiple Integrals (Area , Volume, Length)

Basics of Proper and Improper Integrals

Concept of Maxima & Minima (One independent Variable)

Analysis of Maxima & Minima

Concept of Maxima & Minima (Two independent Variable)

Miscellaneous Questions on Maxima & Minima

Basic of Functions & Limits

Basics of Continuity and Differentiability

Rolle's, Lagrange and Cauchy's MVT

Basics of Limits (L Hospital Method)

Basics of Series Expansion

Taylor and Maclaurin Series

Sequence & Series

P Series Test for Convergence

P Series Test Question Practice

D'Alembert Ratio Test

D'Alembert Ratio Test Question Practice

PYQ Practice

Basics of Fourier Series

Basics of Laplace Transform

Integral and Differential Calculus

Basics of Differential Equations

Representation of Ordinary Differential Equations

Examples to Explain Order and Degree & Linear and Non Linear Differential Equation

Solution of Ordinary Differential Equations

Solutions of Homogeneous Differential Equations

Solutions of Nonhomogeneous Differential Equations

Solution of Cauchy's Linear Differential Equations

First Order First Degree Differential Equations

Basics of Non Exact Differential Equations with Examples

Basics of Partial Derivatives

Homogeneous Functions and Euler's Theorem

Jacobians with Examples

Basics of Partial Differential Equations with Classification

Solution of Partial Differential Equation

Method of Separation of Variables

Miscellaneous Questions

Differential Equations

Basics of Linear Algebra

Types of Matrix and According to its Dimension (R,C)

Formation of Matrix with Elements Position (I,J)

Important Questions 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 & Cayley Hamilton's Theorem

Eigen Vectors (Basics & Tricks)

Booklet Questions related with Eigen Vectors

Concept of Diagonalization (through Question) 01

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)

Solution of Linear Simultaneous Equations (Homogeneous Form)

Concept of Basis of Vector Space

Questions based on Basis of Vector Space

Miscellaneous (Part 1)

Miscellaneous (Part 2)

Linear Algebra

Concept of Probability & Statistics

Sample Space 1 (Coins)

Sample Space 2 (Dice)

Sample Space 3 (52 Playing Cards)

Events and Types of Events

Basics of Probability

Some More on Probability (Bayes Theorem)

Probability of Distribution (Binomial Distribution)

Probability of Distribution (Poison Distribution)

Probability of Distribution (Normal Distribution)

Concept of Random Variables

Properties of Expected Value and Variance

Concept of Central Tendency (Mean, Median & Mode)

Symmetric Distribution & Skewness

Standard deviation & Coefficient of Variance

Questions Based on Central Tendency

Basics of Correlation & Regression

Miscellaneous on Probability

Probability and Statistics

Basics of Vectors

Basic Applications and Types of Vectors

Basics of Del Operator

Gradient, Divergence & Curl & Directional Derivative

Problem Based on G,D & C

Vector Integral Calculus

Stoke & Gauss Theorem

Booklet Questions (Part 1)

Booklet Questions (Part 2)

Green's Theorem & Problems

Vector Calculus

Basic of Complex Variable

Concept of Analytic Function (CR Equations)

Formation of Analytic Function (Milne Thomson Method)

Complex Integral

Residues and Residue Theorem

Cauchy's Theorem and Cauchy Integral Formula

Basic of Zeros & Singularities

Complex Series Expansion

Complex Variables

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Numerical Methods

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