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User:Issa/Timeline of my mathematical education

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Year Month and date Topics Details
2011-2012 set theory, real analysis some math self-studying during high school
calculus IB math (calculus)
2012 April 23 Real analysis I think I ordered Tao's Analysis I and Ross's Elementary Analysis: The Theory of Calculus around this time. Tao's book is the one I end up using the most (especially since I am interested in foundational stuff at this point, and Tao's book is one of the only ones that constructs most of the number systems). But at this point I don't really know how to study math very well, and I'm also working alone. So I tend to have unrealistic expectations, am prone to burn out, etc.
Real analysis I order Pugh's Real Mathematical Analysis at some point. One memory I have: I remember in Emery's pre-IB chemistry class, since I had one of the highest grades in the class (or something like that), I didn't have to take one of the tests. So I spent one period working through Pugh's book on my own. I remember staring at the definition of convergence of a sequence for a long time, and after a while feeling like I somehow "got" it.
Discrete math I remember before Emery's pre-IB chemistry class (which was 1st period), I would stand outside the classroom and read Ross's Discrete Mathematics.
2012 August 21 Calculus, real analysis I ordered Spivak's Calculus (4th ed.) around this time. I remember working through the limits chapter. I also remember working through the properties of the reals chapter (the first one) and totally not getting it (as in, why we would care about summarizing the reals this way).
2013 January 6 Real analysis I ordered Tao's Analysis II around this time.
IB math HL (random topics)
2014 September proof-based calculus math 134[1]
proof-based calculus, differential equations math 135[2]
multivariable calculus, linear algebra? math 136[3]
real analysis/point-set topology math 334[4]
2015 autumn mathematical modeling AMATH 383[5]
real analysis math 335[6]
2016 April complex analysis math 336[7]
2016-2017 long hiatus
2017 October 19 – December 8 Machine learning I complete Andrew Ng's Coursera course on machine learning.[8]
2018 February Neural networks Working through Michael Nielsen's neural networks and deep learning book
2018 April Computability, logic First pass through Boolos/Burgess/Jeffrey's Computability and Logic.
2018 May 2 Judgment day #1.
2018 May Linear algebra Axler's Linear Algebra Done Right (3rd edition).
2018 June Causal inference
2018 June 26 I become increasingly frustrated about forgetting the math that I've been learning, and I install Anki. However, at first I don't really use it for math; see below.
2018 July 4 Michael Nielsen's article about spaced repetition is published,[9] (I think I first heard about it via email, as I am subscribed to his projects mailing list)
2018 July 8 I begin to incorporate spaced repetition into my math study routine.
2018 July PCA, multivariable calculus (differentiation, chain rule)
2018 August 2-3 (any other days?) Logical induction I spend some time reading "Logical Induction" again, taking notes in Anki, and starting "Logical induction notation".
2018 August game theory, information aggregation in markets, belief propagation
2018 August 24 (?) - August 27 Aumann's agreement theorem I spend some time reading and learning about wikipedia:Aumann's agreement theorem, and begin work on "Aumann's agreement theorem" page.
2018 September belief propagation, game theory, computability
2018 September 27 (?) – November ?? real analysis I decided to go through real analysis again, because I didn't internalize the material well enough on the previous occasions. Using Tao's Analysis I: chapter 2 around September 27; chapter 3 around October 4; in chapter 5 on October 18; in chapter 6 on November 5
2018 October linear algebra

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  1. Issa Rice (December 9, 2014). "MATH 134". Issa Rice. Retrieved November 25, 2018. 
  2. Issa Rice (March 29, 2015). "MATH 135". Issa Rice. Retrieved November 25, 2018. 
  3. Issa Rice (June 11, 2015). "MATH 136". Issa Rice. Retrieved November 25, 2018. 
  4. "MATH 334". Issa Rice. October 11, 2015. Retrieved November 25, 2018. 
  5. Issa Rice (October 11, 2015). "AMATH 383". Issa Rice. Retrieved November 25, 2018. 
  6. "MATH 335". Issa Rice. February 21, 2016. Retrieved November 25, 2018. 
  7. "MATH 336". Issa Rice. April 13, 2016. Retrieved November 25, 2018. 
  8. Issa Rice (December 27, 2017). "Machine learning study log". Issa Rice. Retrieved November 25, 2018.