# Category: The Hong Kong University of Science and Technology

## My 162nd course certificate from Coursera

Numerical Methods for Engineers The Hong Kong University of Science and Technology This is an excellent course to...

## My #100 course certificate from Coursera

Understanding Modern Physics I: Relativity and CosmologyThe Hong Kong University of Science and Technology I am thrilled to...

## Cosmology

Cosmology is the science of studying our universe. Being different from astronomy, which corresponds to studying some particular...

## General Relativity: Gravity and Black Holes

Previously, in special relativity, we have found that the concepts of space and time are relative. When you...

## Special Relativity: Geometry, Momentum and Energy

In 3-dimensional space, when we are looking at an object, what we see depends on the angle, the...

## Lorentz Transformation

Lorentz transformation is the central question in the mathematical structure of special relativity. Simply put, given the coordinate...

## Special Relativity: Length and Simultaneity

The concept of “length” and “the same time” have to be reconsidered in special relativity. Light Ruler and...

## My #81 course certificate from Coursera

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

## Special Relativity: Space and Time

For hundreds years, space and time were absolute in the concept of Newton, they are something that can...

## My #80 course certificate from Coursera

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

## Vector Calculus: Fundamental Theorems

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

## Line and Surface Integrals

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

## The Diffusion Equation of a Dye

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

## Systems of Differential Equations

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

## Polar, Cylindrical, Spherical Coordinates

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