Vector Calculus for EngineersThe Hong Kong University of Science and Technology We can’t emphasize enough the importance of...

Differential Equations for EngineersThe Hong Kong University of Science and Technology By highlighting both theories and applications in...

Gradient Theorem The fundamental theorem of single variable calculus was the one that told you “the integral of the...

Line Integrals Scalar Fields We have a curve C in the x-y plane, we can represent a point...

Fourier Series Sometimes complicated motions can actually be composed of motions of many different frequencies. The type of mathematical analysis...

Systems of Homogeneous Linear First-order ODEs The system of linear first order homogeneous equations can be written in matrix...

Multidimensional Integration In Vector Calculus, we have to worry about integrating over two or three variables: double integrals...

Laplace transform Laplace transform is a technique for solving differential equations. By using the Laplace transform you can...

Partial derivatives Partial derivative is to differentiate functions of multiple variables. Assume a function f = f(x, y),...

The general form of inhomogenous linear differential equations is: We need 2 initial conditions x(0) = x0, x'(0)...

Linear homogeneous differential equation is the second-order ODEs that has the form below, It is important that the...

Euler Method Euler method is a very simple numerical method that can be used to solve differential equations....

Vector Calculus is also known as Multivariate Calculus or “Calculus 3”. Calculus 1 and 2 are Differential Calculus...

Matrix Algebra for EngineersThe Hong Kong University of Science and Technology This is undoubtedly a 5-star course. If...

Determinants can tell us whether a matrix has an inverse, and more importantly it can help us solve...

Andrew Ng Anna Koop Brenda Gunderson Computer Communications Specialization Cryptography Differential Equations for Engineers Economics of Money and Banking Evgenii Vashukevich Foundations of Quantum Mechanics Garud Iyengar Ivan Vybornyi Jeffrey Chasnov John Daily Jonathan Katz Kevin Webster Ling-Chieh Kung Machine Learning: Algorithms in the Real World Martin Haugh Mathematics for Engineers Specialization Matthew Hutchens Michael Donohoe Michael Fricke Microsoft Azure Fundamentals AZ-900 Exam Prep Specialization Operations Research (3): Theory Perry Mehrling Petro Lisowsky Physical Basics of Quantum Computing Practical Reinforcement Learning Rebekah May Search Engine Optimization (SEO) Specialization Sergey Sysoev Statistical Thermodynamics Specialization Statistics with Python Specialization Taxation of Business Entities I: Corporations TensorFlow 2 for Deep Learning Specialization U.S. Federal Taxation Specialization Understanding Modern Physics I: Relativity and Cosmology Wounjhang Park Xiaobo Zhou Yi Wang

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