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Applied Mathematics-1 - M-1

Course: B.Tech / BEGroup: Mathematics

Applied Mathematics -1

Prime | 93 Questions | Appeared By 2 users

Differential Equations

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Complex Variable

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Numerical Methods

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Transform Theory

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APPLIED MATHEMATICS-I

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The nth Derivative of Some Elementary Functions – 1

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The nth Derivative of Some Elementary Functions – 2

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Leibniz Rule – 1

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Leibniz Rule – 2

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Leibniz Rule – 3

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Rolle’s Theorem – 1

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Rolle’s Theorem – 2

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Lagrange’s Mean Value Theorem – 1

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Lagrange’s Mean Value Theorem – 2

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Cauchy’s Mean Value Theorem

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Generalized Mean Value Theorem

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Taylor Mclaurin Series – 1

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Taylor Mclaurin Series – 2

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Taylor Mclaurin Series – 3

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Taylor Mclaurin Series – 4

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Indeterminate Forms – 1

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Indeterminate Forms – 2

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Indeterminate Forms – 3

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Indeterminate Forms – 4

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Derivative of Arc Length

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Derivatives of Area

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Prime | 6 Questions | Appeared By 1 users

Limits and Derivatives of Several Variables – 1

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Limits and Derivatives of Several Variables – 2

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Limits and Derivatives of Several Variables – 3

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Limits and Derivatives of Several Variables – 4

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Variable Treated as Constant

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Total Derivative

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Implicit Differentiation

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Partial Differentiation – 1

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Partial Differentiation – 2

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Euler’s Theorem – 1

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Euler’s Theorem – 2

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Errors and Approximations

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Prime | 7 Questions | Appeared By 1 users

Differentiation Under Integral Sign

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Taylor’s Theorem Two Variables

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Maxima and Minima of Two Variables – 2

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Maxima and Minima of Two Variables – 1

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Maxima and Minima of Two Variables – 3

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Lagrange Method of Multiplier to Find Maxima or Minima

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Curves in Cartesian Form

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Standard Curves in Cartesian Form

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Integral Reduction Formula

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Improper Integrals – 2

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Rectification in Polar and Parametric Forms

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Volume of Solid of Revolution

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Improper Integrals – 1

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Improper Integrals – 2

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Double Integrals

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Application of Double Integrals

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Change of Order of Integration: Double Integral

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Change of Variables In a Double Integral

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Triple Integral

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Change of Variables In a Triple Integral

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Applications of Triple Integral

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Basic Definitions

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First Order First Degree Differential Equations

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Separable and Homogeneous Equations

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Reducible to Homogenous Form

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First Order Linear Differential Equations

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Bernoulli Equations

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First Order Nonlinear Differential Equations

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Clairaut’s and Lagrange Equations

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Formation of Ordinary Differential Equations by Elimination of Arbitrary Constants

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Geometrical Applications

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Orthogonal Trajectories

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Law of Natural Growth and Decay

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Newton’s Law of Cooling and Escape Velocity

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Simple Electrical Networks Solution

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Method of Undetermined Coefficients

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Harmonic Motion and Mass – Spring System

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Special Functions – 1 (Gamma)

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Special Functions – 2 (Beta)

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Special Functions – 4 (Legendre)

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Existence and Laplace Transform of Elementary Functions – 1

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Existence and Laplace Transform of Elementary Functions – 2

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Laplace Transform by Properties – 1

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Laplace Transform by Properties – 2

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Laplace Transform by Properties – 3

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Laplace Transform of Periodic Function

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General Properties of Inverse Laplace Transform

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Prime | 3 Questions | Appeared By 0 users

Solution of DE With Constant Coefficients using the Laplace Transform

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Table of General Properties of Laplace Transform

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Types and Properties of Matrices

Prime | 3 Questions | Appeared By 1 users

Finding Inverse and Rank of Matrix

Prime | 7 Questions | Appeared By 1 users

Rank of Matrix in Row Echelon Form

Prime | 3 Questions | Appeared By 1 users

Rank of Matrix in PAQ and Normal Form

Prime | 3 Questions | Appeared By 1 users

System of Equations and their Consistencies

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System of Equation using Gauss Elimination Method

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Solving Equations by Crout’s Method

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Derogatory and Non-Derogatory Matrices

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Eigenvalues and Vectors of a Matrix

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Cayley Hamilton Theorem

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Diagonalization Powers of a Matrix

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Real Matrices: Symmetric, Skew-symmetric, Orthogonal Quadratic Form

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Canonical Form or Sum of Squares Form

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Transformation (Reduction) of Quadratic Form to Canonical Form

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Directional Derivative

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Gradient of a Function and Conservative Field

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Divergence and Curl of a Vector Field

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Using Properties of Divergence and Curl

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Conversion from Cartesian, Cylindrical and Spherical Coordinates

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Surface Integrals

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Volume Integrals

Prime | 10 Questions | Appeared By 0 users

Fourier Series Expansions

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Fourier Half Range Series

Prime | 10 Questions | Appeared By 1 users

First Order PDE

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First Order Linear PDE

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First Order Non-Linear PDE

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Homogeneous Linear PDE with Constant Coefficient

Prime | 12 Questions | Appeared By 0 users

Non-Homogeneous Linear PDE with Constant Coefficient

Prime | 12 Questions | Appeared By 1 users

Solution of Second Order P.D.E.

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Method of Separation of Variables

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Solution of 1D Heat Equation

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Solution of PDE by Variable Separation Method

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Derivation and Solution of Two-dimensional Heat Equation

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Derivation and Solution of Two-dimensional Wave Equation

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Fourier Transform and Convolution

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Linear Difference Equations and Z – Transforms

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DeMoivre’s Theorem

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Expansion of Trigonometric Functions

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Logarithm of Complex Numbers

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Complex Conjugates

Prime | 15 Questions | Appeared By 1 users

Roots of Complex Numbers

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Regions in the Complex Plane

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Functions of a Complex Variable

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Differentiability

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Set Theory of Probability – 1

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Set Theory of Probability – 2

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Theorem of Total Probability

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Baye’s Theorem

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Permutations and Combinations

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Random Variables

Prime | 10 Questions | Appeared By 0 users

Probability Distributions – 1

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Probability Distributions – 2

Prime | 12 Questions | Appeared By 0 users

Mean and Variance of Distribution

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Mathematical Expectation

Prime | 15 Questions | Appeared By 1 users

Binomial Distribution

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Hypergeometric Distributions

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Poisson Distribution

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Normal Distribution

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Exponential Distribution

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