My New Year Resolution for 2020

Real Analysis I  Jan
Real Analysis II Jan,Feb
Axler Sheldon Linear Algebra Done Right.  mid Feb onwards

Introduction to Analytic Number Theory   March - July
Topology                                                     March - July
Abstract Algebra (Dummit and Foote)       March - August (Upto Field and Galois Theory)
Analysis and Manifolds                              March - July
Hon's Differential Equations                      March - July
Complex Analysis (Elias Stein and Rami Shakarjee)  March - July
Real Analysis Rudin                                   March - July

Introduction to Functional Analysis           Aug - Dec
Differential Geometry                                Aug - Dec
More Topology (Algebraic One, Allen Hatcher)                Aug - Dec
Number Theory (Algebraic and Analytic both)      Aug - Dec                                 
Elliptic Curves                                            Aug - Dec
Abstract Algebra (Dummit and Foote)   (Remaining Content)    Aug - Dec

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How to make best notes

My strategy would be: To rigorously prove everything that you would use in the future(e.g, reals have the sup inf property) Make a comments column where you put down why you did that step. In the last write the general strategy you used for the proof(e.g, in the sup inf case make the bound shorter for the last values) If you are doing a study of a particular field say Analytic Number Theory then make a content sheet of pdf format preferably so that you could find whatever proof you want to have a look on.It should be an exhaustive list.
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