User:Issa/Timeline of my mathematical education
|Time period||Development summary||More details|
|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|
|proof-based calculus, differential equations||math 135|
|multivariable calculus, linear algebra?||math 136|
|real analysis/point-set topology||math 334|
|2015||autumn||mathematical modeling||AMATH 383|
|real analysis||math 335|
|2016||April||complex analysis||math 336|
|2017||October 19 – December 8||Machine learning||I complete Andrew Ng's Coursera course on machine learning.|
|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 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, (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|
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How the timeline was built
The initial version of the timeline was written by Issa Rice.
Feedback and comments
Feedback for the timeline can be provided at the following places:
What the timeline is still missing
Timeline update strategy
- Use posts from my updates blog to add new events.
- Issa Rice (December 9, 2014). "MATH 134". Issa Rice. Retrieved November 25, 2018.
- Issa Rice (March 29, 2015). "MATH 135". Issa Rice. Retrieved November 25, 2018.
- Issa Rice (June 11, 2015). "MATH 136". Issa Rice. Retrieved November 25, 2018.
- "MATH 334". Issa Rice. October 11, 2015. Retrieved November 25, 2018.
- Issa Rice (October 11, 2015). "AMATH 383". Issa Rice. Retrieved November 25, 2018.
- "MATH 335". Issa Rice. February 21, 2016. Retrieved November 25, 2018.
- "MATH 336". Issa Rice. April 13, 2016. Retrieved November 25, 2018.
- Issa Rice (December 27, 2017). "Machine learning study log". Issa Rice. Retrieved November 25, 2018.