Polar, Cylindrical, Spherical Coordinates
Multidimensional Integration In Vector Calculus, we have to worry about integrating over two or three variables: double integrals...
Laplace Transform and Series Solution Method
Laplace transform Laplace transform is a technique for solving differential equations. By using the Laplace transform you can...
From Partial Derivatives to Maxwell’s Equations
Partial derivatives Partial derivative is to differentiate functions of multiple variables. Assume a function f = f(x, y),...
Inhomogeneous Linear Differential Equations
The general form of inhomogenous linear differential equations is: We need 2 initial conditions x(0) = x0, x'(0)...
Homogeneous Linear Differential Equations
Linear homogeneous differential equation is the second-order ODEs that has the form below, It is important that the...
First-Order Differential Equations
Euler Method Euler method is a very simple numerical method that can be used to solve differential equations....
Vector Calculus: Basics
Vector Calculus is also known as Multivariate Calculus or “Calculus 3”. Calculus 1 and 2 are Differential Calculus...
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Matrix Algebra for EngineersThe Hong Kong University of Science and Technology This is undoubtedly a 5-star course. If...
Eigenvalues and Eigenvectors
Determinants can tell us whether a matrix has an inverse, and more importantly it can help us solve...
Vector Space & Fundamental Subspaces
A vector space consists of a set of vectors (column matrices) and a set of scalars (real numbers),...
Matrices & Systems of Linear Equations
Matrix is a rectangular array of numbers. In an m*n matrix, m stands for the number of rows,...
My #29 course certificate from Coursera
Front-End Web Development with ReactThe Hong Kong University of Science and Technology This course is fantastic! I am...
My #28 course certificate from Coursera
Front-End Web UI Frameworks and ToolsThe Hong Kong University of Science and Technology This is definitely a course...