Advanced Applied and Pure Mathematics

This Channel is dedicated to Undergraduate and Graduate Students who want to learn Advanced Applied and Pure Mathematics . All video content is Organised using different books. Corrections are appreciated.

Second Year Math Sindh textbook Jamshoro Solution Exercise 2.2 Question 4-6
Second Year Math Sindh textbook Jamshoro Solution Exercise 2.2 Question 4-6
Second Year Math Sindh textbook Jamshoro Solution Exercise 2.2 Question 1-3
Second Year Math Sindh textbook Jamshoro Solution Exercise 2.2 Question 1-3
Second year Mathematics Sindh text book board Jamshoro Exercise 2.1
Second year Mathematics Sindh text book board Jamshoro Exercise 2.1
Second Order Ordinary Differential Equations
Second Order Ordinary Differential Equations
Cyclone
Cyclone
Combinatorial Methods, Fundamental Principle of Counting, Permutations and Combinations Sample Space
Combinatorial Methods, Fundamental Principle of Counting, Permutations and Combinations Sample Space
Introduction to Probability, Sample Space Events and types of events favourable and possible outcome
Introduction to Probability, Sample Space Events and types of events favourable and possible outcome
Conservative Vector Fields, test for conservation, curl of a vector field.
Conservative Vector Fields, test for conservation, curl of a vector field.
Green's Theorem, connection between line integral along a curve and double integral over the region.
Green's Theorem, connection between line integral along a curve and double integral over the region.
Line integrals in space, Parameterization of curves in space work done by force field along a curve.
Line integrals in space, Parameterization of curves in space work done by force field along a curve.
Triple integral in cartesian coordinate, Volume bounded by surface applications of triple integrals.
Triple integral in cartesian coordinate, Volume bounded by surface applications of triple integrals.
Method of Lagrange Multipliers, Constrained Optimization, one constraint, and multiple constraints.
Method of Lagrange Multipliers, Constrained Optimization, one constraint, and multiple constraints.
Double integrals and change of order of integration, integration over the general regions.
Double integrals and change of order of integration, integration over the general regions.
Simultaneous Decomposition method for Partial Differential Equations, a novel Decomposition method.
Simultaneous Decomposition method for Partial Differential Equations, a novel Decomposition method.
Adomian Decomposition method for the wave equation with homogenous Dirichlet Boundary Conditions.
Adomian Decomposition method for the wave equation with homogenous Dirichlet Boundary Conditions.
Adomian Decomposition Method for inhomogenous Heat equation with time-dependent boundary conditions.
Adomian Decomposition Method for inhomogenous Heat equation with time-dependent boundary conditions.
Adomian Decomposition Method for Heat equation with time-dependent Dirichlet boundary conditions.
Adomian Decomposition Method for Heat equation with time-dependent Dirichlet boundary conditions.
Adomian Decomposition Method for Heat Equation (Partial Differential Equations)
Adomian Decomposition Method for Heat Equation (Partial Differential Equations)
Equation of Tangent Planes and Normal Lines of a surface in Space.
Equation of Tangent Planes and Normal Lines of a surface in Space.
Directional Derivatives and Gradients, Rate of Change in the direction of a vector.
Directional Derivatives and Gradients, Rate of Change in the direction of a vector.
Partial Derivatives ( Derivatives of Multivariable functions)
Partial Derivatives ( Derivatives of Multivariable functions)
The existence of the Limit of a multivariable function and Continuity of a multivariable function.
The existence of the Limit of a multivariable function and Continuity of a multivariable function.
Limits and Continuity of functions of two variables (multivariable functions) multivariable calculus
Limits and Continuity of functions of two variables (multivariable functions) multivariable calculus
Quadric (Quadratic) Surfaces and their Traces 3 Dimensional Surfaces multivariable calculus
Quadric (Quadratic) Surfaces and their Traces 3 Dimensional Surfaces multivariable calculus
Traces of Surfaces in 3 Dimensional Coordinate System Multivariable calculus
Traces of Surfaces in 3 Dimensional Coordinate System Multivariable calculus
homogenous first order differential equations odes solved examples important Problems
homogenous first order differential equations odes solved examples important Problems
Equations of Planes in Space, Line of Intersection of Two Planes, Parallel and Perpendicular Planes
Equations of Planes in Space, Line of Intersection of Two Planes, Parallel and Perpendicular Planes
Equation of Lines in Space, Parametric and Symmetric representation of a Line in 3 space.
Equation of Lines in Space, Parametric and Symmetric representation of a Line in 3 space.
Introduction to multivariable Calculus, multivariable functions.
Introduction to multivariable Calculus, multivariable functions.
Power Method and Inverse Power Method for Eigenvalues and Eigenvectors
Power Method and Inverse Power Method for Eigenvalues and Eigenvectors