MathWit entry/demo course - Math0

Topic outline

• General
  

  General

  MathWit entry/demo course

  • News forum
• Topic 1
  

  Topic 1

  Elementary math -  problem solving, recreation & brain training

  • Random posts of math questions and solutions Forum
  • A few exercises Page
  • Quiz - elementary math
  • Solutions to exercises Page
  • More problems to exercise your brain .... Page
  • 100 proofs of Pythagorean Theorem Page
  • Chat room
  • K12 math forum
• Topic 2
  

  Topic 2

  Saving, Investing, Donating and go Green! - Some basic tips

  • Be money $mart! A few very effective money management tips Page
  • Be money $mart! A few effective money saving tips (II) Micro Income Page
  • Before investing: Interest and saving (I) Page
  • Before investing and trading - savings and calculations (II) Page
  • Start a business? Try trusted and affordable web hosting service providers! Page
  • From Micro Income to Diversified Income Streams Page
  • Topic Forum
• Topic 3
  

  Topic 3

  Learn how to type math and tips about using latex (optional)

  • Using visual input method to type math symbols and equations Page
  • Extended example on mathinput by video Page
  • Basic Latex markup (1) Page
  • Basic Latex markup (2) Page
  • Latex - Long division by examples (updated with a fix for the gap) Page
  • Quiz - typing basic math symbols
  • Discussion - typing mathematics Forum
  • Topic Forum
• Topic 4
  

  Topic 4

  Advanced math up to graduate school level and research problems. This is a sample mini topic.

  • What is the rule? The truth may not be as you expected! Page
  • Demo - supplement to some lecture slides Page
  • University math exercises Page
  • Calculus and linear algebra exercise solutions File
  • A surface intergal question with detailed (wrong) solution Page
  • A problem in complex analysis Page
  • Topic chatroom
  • Topic Forum
• Topic 5
  

  Topic 5

  Statistics using R and excel  - sample study notes 

  • Get ready for your first lines of R code Page
  • Data and Charts Page
  • Environments and objects Page
  • R Functions Page
  • R - Object Oriented Programming Page
  • R - work with data Page
  • Exercise: make improvements for an excel worksheet File
  • Normal Distribution Page
• Topic 6
  

  Topic 6

  Web Programming, Web Design, PHP, Database, E-business.

  Math and statistics software: Mathematica, Matlab, R, ...

  • Image and animations Page
  • Python - some resources Page
• Topic 7
  

  Topic 7

  Physics & Astronomy,Chemistry, Biology, Music and other topics...

  • Discussion forum
• 8. Math Competition, Math Olympiad
  

  8. Math Competition, Math Olympiad

  • IMO 1959 (1st) - 2018 (latest) Problems, Shortlist Problems and Solutions Page
  • Mathematical Olympiad & IMO Forums
• 9. Research & AI Contest (Artificial Intelligence)
  

  9. Research & AI Contest (Artificial Intelligence)

  • Some links and resources, Ph.D. qualifying exams Page
  • DeepMind and the University of Alberta Page