So I Have Summer Filled With Nothing to Do Help Me Fix That(Math Plan)

In summary, the individual is seeking advice on the order in which to learn different branches of mathematics for their major in theoretical physics and interest in quantum computing. They mention completing single variable this term and wanting to get ahead over the summer. Their initial thoughts are to learn multivariable, followed by differential equations and matrix theory, but they are unsure about the order for learning real and complex analysis, topology, ODEs, PDEs, differential geometry, and differential topology. They also mention considering real analysis, complex analysis, abstract algebra, general topology, algebraic topology, differential geometry, ordinary differential equations, and partial differential equations in their proposed order of learning, but they welcome other ideas.
  • #1
Neohuman
1
0
Need Advice On Which Math(s) to Learn & Which Order to Learn Them In

So my major is in theoretical physics and I am interested in quantum computing. Will be completing single variable this term and thought "hmm why not get ahead". So I am going to use this summer to get as far ahead as possible. Problem is I am not sure the path. Here is my general thoughts...
  1. Multivariable
  2. Differential Equations/Matrix Theory
After that I am unsure what is the order I learn things. I know I need to learn real and complex analysis but should I learn topology first? Where does ODEs,PODEs, differential geometry, or differential topology come in? Many thanks to anyone that replies.
EDIT:
This is what I have come up with before but it is probably very wrong...
  1. Real Analysis
  2. Complex Analysis
  3. Abstract Algebra
  4. General Topology
  5. Algebraic Topology
 
Last edited:
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  • #2
Differential GeometryOrdinary Differential EquationsPartial Differential EquationsI would appreciate your ideas on this order or an alternate order. Thanks!
 

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