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,...
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Mathematical Thinking in Computer ScienceUC San Diego You will never believe a math course can be so fun...
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Single Variable CalculusUniversity of Pennsylvania This course is AMAZING! It probably is the BEST Calculus course you can...
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Fundamentals of Digital Image and Video ProcessingNorthwestern University This 12-week course is really ALL about math, and definitely...
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Image and Video ProcessingDuke University This is really a fun course. The boring material is nicely taught in...
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Stochastic processesHigher School of Economics Oh geez, “stochastic processes”, I enjoyed this fascinating course a lot! The course...
My #11 course certificate (with Honors) from Coursera
Bayesian Methods for Machine Learning (with Honors)Higher School of Economics This is an excellent course from Russia and...