Math -1
Differential Calculus-I
Differential Calculus-II
Multiple Integrals
Vector Calculus
Matrices
- Differential Calculus-I
- Radius of Curvature
- Radius of Curvature in Parametric Form
- Problems on Radius of Curvature
- Radius of Curvature in Polar Form
- Cauchys Mean Value Theorem
- Taylors Theorem
- Problems on Fundamental Theorem
- Leibnitz Theorem
- Problems on Leibnitz Theorem
- Partial Derivatives
- Euler Lagrange Equation
- Curve Tracing
- Change of Variable Theorem
- Problems on Differential Calculus I
- Indeterminate Forms
- Problems on L' Hospital Rule
- Various Indeterminate Forms
- Problems on Various Indeterminate Forms
- Taylors Theorem For Function of Two Variables
- Problems on Taylor's Theorem
- Maxima And Minima of Function of Two Variables
- Problems Maxima And Minima of Function of Two Variables
- Lagranges Method of Undetermined Multipliers
- Problems on Lagranges Method of Undetermined Multipliers
- Polar Curves
- Problems on Polar Curve
- Jacobian of Transformation
- Extrema of Function of Several Variables
- Problems on Differential Calculus II
- Multiple Integrals
- Problems on Multiple Integral
- Double Integral by Changing the Order of Integration
- Applications to Area and Volume
- Problems on Applications to Area and Volume
- Beta And Gamma Function
- Relationship between Beta and Gamma Functions
- Problems on Beta and Gamma Functions
- Dirichlet Integral
- Dirichlet Integral and Fourier Series
- Problems on Dirichlet Integrals
- Triple Integrals
- Triple Integrals using Cylindrical Coordinates
- Problems on Integrals
- Objective Question on Integrals
- Vector Line Integral
- Vector Functions
- Green's Theorem
- Gauss Divergence Theorem
- Stoke Theorem
- Surface and Volume Integrals
- Problems on Integrals Theorem
- Directional Derivative of Vector
- Vector Gradient
- Theorem of Line Integral
- Orthogonal Curvilinear Coordinates
- Differential Operators
- Divergence of Vector
- Curl of Vector
- Problems on Vector Calculus
- Introduction of Matrices
- Properties of Matrices
- Matrix Multiplication
- Transpose of Matrix
- Nonsingular Matrix
- Echelon Form of Matrix
- Determinant
- Properties of Determinants
- System of Linear Equation
- Solution to a Linear System
- Solution to Linear System by Inverse Method
- Rank and Trace of Matrix
- Cayley-Hamilton Theorem
- Eigenvalues and Eigenvector
- Method of Finding Eigenvalues and Eigenvectors
- Diagonalisation of Matrices
- Unitary Matrices
- Idempotent Matrices
- Problems on Matrices