& I mean not "STEM", I'm talking pure mathematics - you took pure mathematics courses. How are you finding it? How did you even get into it? It seems like I discovered late in my life that I love math - I really wish I majored in it when I was in college.
The
M in STE
M stands for
Mathematics, as in
pure Mathematics.
From Mathematics | Stanford University
Example 1
A general program (a balanced program of both pure and applied components, without any particular emphasis on any one field of mathematics or applications) as follows:
Units
Select one of the following series or Advanced Placement credit (see the Overview tab for details): 10
MATH 19
&
MATH 20
&
MATH 21
Calculus
and Calculus
and Calculus
MATH 41
&
MATH 42
Calculus
and Calculus
Math 50 Series: 15
MATH 51
&
MATH 52
&
MATH 53
Linear Algebra and Differential Calculus of Several Variables
and Integral Calculus of Several Variables
and Ordinary Differential Equations with Linear Algebra
MATH 104 Applied Matrix Theory 3
or
MATH 113 Linear Algebra and Matrix Theory
MATH 106 Functions of a Complex Variable 3
MATH 109 Applied Group Theory 3
MATH 110 Applied Number Theory and Field Theory 3
MATH 115 Functions of a Real Variable 3
Plus any selection of at least eight of the following courses, including three Department of Mathematics courses: 24
MATH 108
Introduction to Combinatorics and Its Applications
MATH 131P
Partial Differential Equations I
MATH 132
Partial Differential Equations II
MATH 143
Differential Geometry
MATH 146
Analysis on Manifolds
MATH 147
Differential Topology
MATH 148
Algebraic Topology
MATH 152
Elementary Theory of Numbers
MATH 161
Set Theory
CME 108
Introduction to Scientific Computing
ECON 50
Economic Analysis I
PHYSICS 41
Mechanics
PHYSICS 43
Electricity and Magnetism
PHYSICS 45
Light and Heat
STATS 116
Theory of Probability
Total Units 64
----
Just start at the beginning.
It depends on where you left off in your last math class.
Before college you may have taken: Pre-Algebra, Algebra 1, Algebra 2, Plane Geometry, Calculus 1 and 2
In college start with Calculus 3, then Differential Equations and Linear Algebra
That covers freshman/partial sophomore level coursework.
Most math departments will lay out the course requirements.
Your advisor will tell you which courses fit your career/academic goals.
A math degree is very useful.