Path of Mathematics

You might feel math is difficult. Well, yes and no. Math is difficult because you have to understand everything to move on, rather than just dump them in your brain without chewing. However, math is approachable. Math is not a magic, but a systematic subject. There's clear paths.





The Path of Math:

Stage 1: Math before college
  • Arithmetic
  • Algebra
  • Geometry
  • Trigonometry
  • Precalculus
Stage 2: First two years college (aka lower level math)
  • Calculus (3-4 courses)
  • Differential Equation
  • Linear Algebra
  • Statistics
Stage 3: Third and Fourth college (aka upper level math)
  • Introduction to proof
  • Algebra 
  • Analysis
  • Other topics such as Topology, Differential Equations, depends on the program

The earlier subjects are usually prerequisite for later subjects. For example, Analysis is proof based. So taking a proof class will help you success in Analysis. 

There are many good resources to help learning, I have shared some website I personally like on another blog named Useful Math Resources.



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