User:Issa/Timeline of my mathematical education
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Big picture
| Time period | Development summary | More details |
|---|
Full timeline
| 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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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:
- FIXME
What the timeline is still missing
Timeline update strategy
- Use posts from my updates blog to add new events.
See also
External links
References
- ↑ 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.
- ↑ http://augmentingcognition.com/ltm.html
