Those who wanna pursure string theory (Like me and winston) I got the list of things u need to learn before you can understand the theory:
Algebra
Geometry
Trigonometry
Calculus(single variable)
Calculus(multivariable)
Analytic geometry
Linear algebra
Ordinary differential equations
Partial differential equations
Methods of approximation
Probability and statistics
Real analysis
Complex analysis
Group theory
Differential geometry
Lie groups
Differential forms
Homology
Cohomology
Homotopy
Fiber bundles
Characteristic classes
Index theory
Supersymmetry & Supergravity
K-theory
Noncommutative geometry(NCG)
Thats a lot. But I'll slowly research about them one by one via the internet as time passes. I'll start with multivariable calculus since were learning single variable calculus in Amaths.
Haha. U may think Im crazy but I really like maths and I'm really interested in string theory. Its like gonna explain the most fundamental questions in the universe. Strings : the basic units of matter.LOL