MATHEMATICAL PHYSICS FOR IIT JAM

Beta and Gamma Function
2 Topics
Beta and Gamma Function-1
Beta and Gamma Function-2
MULTIPLE INTEGRAL
Introduction to Double Integrals
1 Topic
Introduction to Double Integrals
Change of Order
7 Topics
Change of Order-1
Change of Order-2
Change of Order-3
Change of Order-4
Change of Order-5
Change of Order-6
Change of Order-7
VECTOR CALCULUS
Gradient
2 Topics
Directional Derivative
Properties of Gradient
Tangent Plane and Normal
2 Topics
Tangent Plane and Normal
Problems on Tangent Plane and Normal
Problems on Gradient
1 Topic
Problems on Gradient
Divergence and Curl
4 Topics
Divergence and Curl
Problems on Divergence and Curl-1
Problems on Divergence and Curl-2
Problems on Divergence and Curl-3
Line Integral
4 Topics
Introduction to Line Integral
Problems on Line Integral-1
Problems on Line Integral-2
Problems on Line Integral-3
Greens Theorem
6 Topics
Introduction to Green’s Theorem
Problems on Green’s Theorem-1
Problems on Green’s Theorem-2
Problems on Green’s Theorem-3
Problems on Green’s Theorem-4
Problems on Green’s Theorem-5
Surface Integral
6 Topics
Introduction to Surface Integral
Problems on Surface Integral-1
Problems on Surface Integral-2
Problems on Surface Integral-3
Problems on Surface Integral-4
Problems on Surface Integral-5
Gauss Divergence Theorem
8 Topics
Introduction to Gauss Divergence Theorem
Problems on Gauss Divergence Theorem-1
Problems on Gauss Divergence Theorem-2
Problems on Gauss Divergence Theorem-3
Problems on Gauss Divergence Theorem-4
Problems on Gauss Divergence Theorem-5
Problems on Gauss Divergence Theorem-6
Problems on Gauss Divergence Theorem-7
Stokes Theorem
5 Topics
Introduction to Stoke’s Theorem
Problems on Stoke’s Theorem-1
Problems on Stoke’s Theorem-2
Problems on Stoke’s Theorem-3
Problems on Stoke’s Theorem-4
Conservative Vector Field
3 Topics
Introduction to Conservative Vector Field
Problems on Conservative Vector Field-1
Problems on Conservative Vector Field-2
DIFFERENTIAL EQUATIONS
Introduction to Differential Equations
2 Topics
Order and Degree
Formation of Differential Equation
Differential Equation of First order and First Degree
8 Topics
Separation of Variables
Homogeneous Equation
Equation Reducible to Homogeneous Form
Exact Differential Equation
Integrating Factor
Integrating Factor-contd
Linear Differential Equation of first order
Equation reducible to Linear Form
Orthogonal Trajectory
2 Topics
Introduction to Orthogonal Trajectory
Problems on Orthogonal Trajectory
Differential Equation with Constant Coefficient
7 Topics
Introduction to Differential Equation with Constant Coefficient
Complementary Function
Particular Integral
Exponential Function
Trigonometric Function
Polynomial Function
Product of Exponential and other Function
Homogeneous Linear Differential Equation
4 Topics
Introduction to Homogeneous Linear Differential Equation
Problems on Cauchy Euler Equation-1
Problems on Euler Cauchy Equation-2
Equation reducible to cauchy Euler form
Differential Equation of Second Order
6 Topics
Introduction to Differential Equation of Second Order
Problems on Differential Equation of Second Order
Problems on Differential equation of second order-2
Variation of Parameters
Problems on Variation of parameters
Problems on Differential Equation of Second Order
MATRICES
Introduction to Matrices
7 Topics
Definition of Matrices
Types of Matrices
Operation on matrices
Operation on matrices-2
Transpose of matrix
Symmetric and Skew-symmetric matrices
Orthogonal matrices
Rank of Matrix
3 Topics
Rank of Matrix
Echelon Form of matrix
Problems on Rank
Linear Equations
6 Topics
Linear Equations
Homogeneous Linear equation
Homogeneous linear equation-contd
Non-homogeneous Linear Equation
Non-homogeneous Linear Equation-contd
Finding Inverse using elementary transformation
Determinant
7 Topics
Introduction of Determinants
Properties of Determinants
Determinant Formula
Formula for Inverse of Matrix
Kramer’s Rule
Problems on Kramer’s Rule
Problems on Determinants
Revision of Matrices
6 Topics
Matrices- Revision
Rank of matrix
Problems on Rank
Elementary Matrix
Equivalence of matrix
Normal form of Matrix
Vector Spaces
3 Topics
Introduction to Vector Spaces
Subspace
Subspaces associated with matrix
Linear Equations – Vector Space Approach
5 Topics
Homogeneous Linear Equations
Homogeneous Linear Equations-2
Homogeneous Linear Equations-3
Non-homogeneous Linear Equation
Non-homogeneous Linear Equation-2
Introduction to Eigenvalues and Eigenvectors
3 Topics
Introduction to Eigenvalues and Eigenvectors
Problems on Eigenvalues and Eigenvectors-1
Problems on Eigenvalues and Eigenvectors-2
Diagonalisation of Matrices and its Applications
5 Topics
Diagonalisation
Matrix Exponential
Differential Equations
Differential Equations-contd
Fibonaaci Sequence
Properties of Eigenvalues
1 Topic
Properties of Eigenvalues
Symmetric Matrices
3 Topics
Symmetric Matrices
Symmetric Matrices-2
Conic Sections
Cayley Hamilton Equation
1 Topic
Cayley Hamilton Equation
Similar Matrices
1 Topic
Similar Matrices
DIFFERENTIAL CALCULUS
Monotonicity
5 Topics
Increasing and Decreasing Function
Monotonicity
Problems on Monotonicity
Problems on Monotonicity-2
Problems on Monotonicity-3
Critical Points
3 Topics
Critical and Stationary Points
Point of Inflexion
Problems on Point of Inflexion
Maxima and Minima
3 Topics
Local maxima and minima
Problems on local maxima and minima
Global maxima and minima
Rolle Theorem
2 Topics
Rolle Theorem
Problems on Rolle Theorem
Lagrange Mean Value Theorem
5 Topics
Introduction to Lagrange Mean Value Theorem
Problems on Lagrange Mean Value Theorem
Problems on Lagrange Mean Value Theorem-2
Introduction to Taylor’s Theorem
Problems on Taylor’s Theorem
Function of Two Variables
7 Topics
Introduction to Function of Two Variables
limits of Function of Two Variables
Continuity of Function of Two Variables
Partial Derivatives
Diffrentiability of Function of Two Variables
Partial Derivatives of Higher Order
Homogeneous Function
Jacobian
1 Topic
Jacobian
Maxima and Minima of Function of Several Variables
2 Topics
Maxima and Minima of Function of two Variables
Maxima and Minima of Function of Several Variables
Fourier Series
1 Topic
Fourier Series
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Matrix Exponential

MATHEMATICAL PHYSICS FOR IIT JAM Diagonalisation of Matrices and its Applications Matrix Exponential
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