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Advanced Applied and Pure Mathematics @UClP4DDvKBk0rT34DO0TAgqw@youtube.com

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08:38
Second Order Ordinary Differential Equations
00:41
Cyclone
39:58
Combinatorial Methods, Fundamental Principle of Counting, Permutations and Combinations Sample Space
34:59
Introduction to Probability, Sample Space Events and types of events favourable and possible outcome
09:00
Conservative Vector Fields, test for conservation, curl of a vector field.
14:41
Green's Theorem, connection between line integral along a curve and double integral over the region.
15:23
Line integrals in space, Parameterization of curves in space work done by force field along a curve.
21:31
Triple integral in cartesian coordinate, Volume bounded by surface applications of triple integrals.
19:39
Method of Lagrange Multipliers, Constrained Optimization, one constraint, and multiple constraints.
25:20
Double integrals and change of order of integration, integration over the general regions.
17:36
Simultaneous Decomposition method for Partial Differential Equations, a novel Decomposition method.
20:54
Adomian Decomposition method for the wave equation with homogenous Dirichlet Boundary Conditions.
20:05
Adomian Decomposition Method for inhomogenous Heat equation with time-dependent boundary conditions.
12:58
Adomian Decomposition Method for Heat equation with time-dependent Dirichlet boundary conditions.
21:43
Adomian Decomposition Method for Heat Equation (Partial Differential Equations)
07:20
Equation of Tangent Planes and Normal Lines of a surface in Space.
15:39
Directional Derivatives and Gradients, Rate of Change in the direction of a vector.
18:48
Partial Derivatives ( Derivatives of Multivariable functions)
23:46
The existence of the Limit of a multivariable function and Continuity of a multivariable function.
17:51
Limits and Continuity of functions of two variables (multivariable functions) multivariable calculus
24:09
Quadric (Quadratic) Surfaces and their Traces 3 Dimensional Surfaces multivariable calculus
23:33
Traces of Surfaces in 3 Dimensional Coordinate System Multivariable calculus
19:13
homogenous first order differential equations odes solved examples important Problems
28:53
Equations of Planes in Space, Line of Intersection of Two Planes, Parallel and Perpendicular Planes
33:20
Equation of Lines in Space, Parametric and Symmetric representation of a Line in 3 space.
18:35
Introduction to multivariable Calculus, multivariable functions.
14:59
Power Method and Inverse Power Method for Eigenvalues and Eigenvectors
27:11
Fixed Point Iteration Successive Approximation Method, and Convergence Criteria Sufficient Condition
11:49
Secant and Newton Raphson method Geometrical Interpretation Solved Problem Numerical Analysis
11:40
Newton Raphson Method With Solved Example and Geometrical Interpretation, Open Methods.
26:20
False Position Method, Error Analysis of Bisection Comparision of False Position and Bisection.
14:57
Numerical Method for Nonlinear Equations Bisection Method (Bracketing method)
21:46
Truncation error and Rounding off Error Integral Derivatives and Taylor Series
27:01
Errors and Approximations in Numerical Methods
17:34
Polynomial Interpolation and curve fitting Applications of Linear Algebra
13:15
QR Factorization of a matrix Gram Schmidt Process orthogonalization and orthonormalization
24:21
LU Decomposition method for Matrices A = LU | Numerical Methods | Solution of Linear Equation
07:24
This lesson is about the Least Square Solutions to Linear Systems QR Factorization method. (Part 2)
21:43
Least Squares Solutions to Linear Systems . (Part 1)
27:11
Singular Value Decomposition With Explanation and Solved Examples (when singular values are zero)
47:11
Eigen Values Eigen Vectors Diagonalization A-invariant Matrices Defective Eigenvalues .
16:46
Dimension of subspace theorems Null space row space column space and Rank nullity theorem
18:15
change of basis and coordinate systems Transition Matrices solved Problems
37:07
Linear Dependent and Independent Sets, Basis, Set of Functions, and Wronskian, spanning sets.
17:21
Converting Second order PDE to the system of first-order PDEs. Convection Diffusion Equation.
10:38
A new ANSATZ Method for Solving Partial Differential equations an initial value problem
14:50
Vector space, subspace, null space, row space, column space, basis, module Part 2.
27:27
Vector Space, Subspace , Module , Row space, Column space, Null space. Part 1
27:24
Matrix Operations Inverse of a Matrix and Characterization of Invertible Matrix. Elementary Matrix
18:07
Systems of PDEs Using Laplace Transform Solved Example.
23:01
Systems of Partial Differential Equations Using Laplace Transforms (A very new approach)
39:48
Linear and Non Linear Transformations Matrix of a Linear Transformation
26:01
Linear Independence, Linear Dependence Spanning sets are explained mathematically and geometrically
25:02
Solution of Systems Homogenous and Non Homogenous and Parametric representation
15:03
Matrix Equation AX = b. Equivalence of algebraic system and matrix equation.
34:57
Vector Equations Linear Combinations and Spanning sets.
33:40
Row Reduction Echelon and Reduced Echelon Forms
23:47
Introduction to linear System of equations (Linear Algebra)
34:15
Confidence Interval Statistics Lec 7
54:44
Normal Distributions Probability Lec 6