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| Hi, my name is Lok Hei Ng. I am studying mathematics in UIUC. I am interested in differential geometry. I have taken a course called Computer Animation and Mathematical Visualization. In this course, we saw some proof of mathematical theorem by drawing, such as the pythagorean theorem we leant in high school. We also went to the Beckman Institute Illinois Simulator Laboratory for a field trip. We played with the cave there. We flew into the sphere and saw what is going on during the sphere eversion, which is smoothly and continuously turning a sphere inside out in a three-dimensional space. There's an animation on youtube. |
| MATH3030 | Algebra I |
| MATH 3040 | Algebra II |
| MATH 3070 | Introduction to Topology |
| MATH 3080 | Number Theory |
| MATH 3093 | Fourier Analysis |
| MATH 3253 | Complex Variables and Applications |
| MATH 3230 | Numerical Analysis |
| MATH 3240 | Numerical Methods for Differential Equations |
| MATH 3270 | Ordinary Differential Equations |
| MATH 4010 | Functional Analysis |
| MATH 4030 | Differential Geometry |
| MATH 4050 | Real Analysis |
| MATH 4220 | Partial Differential Equations |
| MATH 5070 | Topology of Manifold |
| STAT 2001 | Basic Concepts in Statistics and Probability I |
| STAT 2006 | Basic Concepts in Statistics and Probability II |
| CSCI 1530 | Fundamental Computing with C++ |
| MATH 2201 | Mathematics Laboratory I |
| MATH 2220 | Mathematics Laboratory II |
| SEEM 2460 | Introduction to Data Science |
| MATH 500 | Abstract Algebra I |
| MATH 518 | Differential Manifolds I |
| MATH 540 | Real Analysis |
| MATH 580 | Combinatorial Mathematics |
| MATH 595 | Computer Animation |
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wiki/File:Parallel_Transport.svg
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malkovsky/Figure23.gif