This document records my study activities for future reflection. These notes, hopefully, can help other busy ones to figure out how to schedule their own time to study mathematics.
As of 2024-01-13, I haven't recorded the time of studying CS103: Mathematical Foundations of Computing which I also spent a significant amount of time from July 2023 to Dec 2023.
(I was on vacation in Boston so I had a lot of time.)
- 15:02 ~ 18:30 (3h27m)
- Linear Algebra Done Right: Review section 1.A.
- Linear Algebra Done Right: Work on the section 1.A exercises.
(I was on vacation in Boston so I had a lot of time.)
- 09:56 ~ 13:59 (4h2m)
- Linear Algebra Done Right: Study section 1.B: Definition of Vector Space.
- Linear Algebra Done Right: Work on the section 1.B exercises.
- 09:07 ~ 10:16 (1h8m)
- Linear Algebra Done Right: Review section 1.B: Definition of Vector Space.
- 22:00 ~ 22:45 (45m)
- Linear Algebra Done Right: Record the review questions for section
1.B: Definition of Vector Space. - Linear Algebra Done Right: Record the notes for section
1.23: Notation F^S.
- 08:13 ~ 09:00 (47m)
- Linear Algebra Done Right: Review section 1.B: Definition of Vector Space.
- 08:25 ~ 09:07 (42m)
- Linear Algebra Done Right: Studied 1.C Subspaces and proved 1.33 Example as a vector space.
- 08:00 ~ 08:30 (30m)
- Linear Algebra Done Right: Studied 1.C Subspaces.
- 21:06 ~ 22:14 (1h7m)
- Linear Algebra Done Right: Studied 1.35 Examples subspaces (a) and (b) (and then realized I needed to review more fundamental mathematical knowledge such as the meaning of "continuous real-valued functions" and "differentiable real-valued functions".)
- Linear Algebra Done Right: When studying the example (b), I realized I didn't fully understand the definition of 1.23 Notation F^S so also reviewed that.
- 07:02 ~ 08:41 (1h39m)
- Linear Algebra Done Right: I studied the subject Sums of Subspaces. When I tried to prove 1.39 Sum of subspaces is the smallest containing subspace, I went back to the definition of vector spaces to enhance my understanding of the implication of the commutativity and asscociativity on vector spaces.
- 07:36 ~ 09:03 (1h27m)
- Linear Algebra Done Right: I caught up with the notes.
- Linear Algebra Done Right: I worked on the detailed proof of 1.39 Sum of subspaces is the smallest containing subspace (because the textbook doesn't show the details).
- 07:13 ~ 08:00 (47m)
- 21:15 ~ 21:55 (40m)
- Linear Algebra Done Right: After not studying linear algebra for almost 3 weeks, I reviewed the concept of sums of subsets and direct sums.
- 08:30 ~ 09:19 (48m)
- Linear Algebra Done Right: Studied direct sum.
- 07:43 ~ 08:52 (1h8m)
- Linear Algebra Done Right: Studied direct sum.
- 11:00 ~ 13:07 (2h7m)
- Linear Algebra Done Right: Made notes about direct sum.
- 20:43 ~ 21:35 (51m)
- Linear Algebra Done Right: Studied Section 2.A: Linear Combinations and Span.
- 14:22 ~ 15:36 (1h13m)
- Linear Algebra Done Right: Studied the sections from 2.10 finite-dimensional vector space to 2.15 infinite-dimensional vector space. But I still need to do more exercises to solidify my understanding.
- 12:51 ~ 13:41 (50m)
- 15:57 ~ 17:40 (1h42m)
- Linear Algebra Done Right: Looked back at Chapter 1 to figure out the relations among the key concepts. I also worked out the initial draft of
Relations.dotto visualize the relations among the key concepts.
- 08:00 ~ 10:00 (2h)
- 11:30 ~ 13:35 (2h5m)
- Linear Algebra Done Right: Rewrote the notes for Chapter 1. Previously, the topics were all arranged in a linear structure so it was difficult to see how they are related. Now I grouped related topics into the same sections to make the notes easier to grasp the key points.
- 21:52 ~ 22:45 (53m)
- Linear Algebra Done Right: Worked on Exercises 1.A to refresh my memory on Chapter 1A.
- 08:50 ~ 09:50 (1h)
- 11:00 ~ 11:30 (30m)
- Linear Algebra Done Right: Worked on Exercises 1.A to refresh my memory on Chapter 1A. I finished questions 12 ~ 16.
- 09:16 ~ 10:01 (44m)
- 10:35 ~ 11:12 (37m)
- 12:43 ~ 13:20 (37m)
- 13:37 ~ 14:35 (58m)
- Linear Algebra Done Right: Finished Exercises 1.B.
- 07:50 ~ 08:25 (35m)
- Linear Algebra Done Right: Worked on Exercises 1.C.
- 07:24 ~ 08:34 (1h10m)
- Linear Algebra Done Right: Worked on Exercises 1.C.
- 12:07 ~ 13:11 (1h4m)
- Linear Algebra Done Right: Worked on Exercises 1.C.
- 09:39 ~ 10:25 (46m)
- 10:43 ~ 11:08 (24m)
- 11:30 ~ 13:30 (2h)
- Real Analysis (MIT OCW 18.100A): Worked on Exercises 1.C.
- Real Analysis (MIT OCW 18.100A): Studied:
0.2 About analysis - Real Analysis (MIT OCW 18.100A): Studied:
0.3.1 Sets
- 09:19 ~ 10:00 (41m)
- 20:39 ~ 21:55 (1h16m)
- Real Analysis (MIT OCW 18.100A): Studied:
0.3.1 Sets - Real Analysis (MIT OCW 18.100A): Studied:
0.3.2 Induction
- 08:23 ~ 09:13 (50m)
- Real Analysis (MIT OCW 18.100A): Studied:
0.3.3 Functions
- 16:05 ~ 17:10 (1h5m)
- 19:00 ~ 20:05 (1h5m)
- 20:30 ~ 21:40 (1h10m)
- Real Analysis (MIT OCW 18.100A): Studied:
0.3.3 Functions
- 07:52 ~ 08:52 (1h)
- 18:29 ~ 18:51 (22m)
- Real Analysis (MIT OCW 18.100A): Studied:
0.3.3 Functions
- 09:11 ~ 09:33 (22m)
- 17:07 ~ 17:57 (50m)
- Real Analysis (MIT OCW 18.100A): Studied:
0.3.3 Functions - Real Analysis (MIT OCW 18.100A): Studied:
0.3.4 Relations and equivalence classes
- 07:51 ~ 08:51 (1h)
- 20:33 ~ 21:33 (1h)
- Real Analysis (MIT OCW 18.100A): Studied:
0.3.4 Relations and equivalence classes - Real Analysis (MIT OCW 18.100A): Studied:
0.3.5 Cardinality
- 09:12 ~ 11:43 (2h30m)
- 13:13 ~ 14:15 (1h1m)
- Real Analysis (MIT OCW 18.100A): Studied:
0.3.5 Cardinality
- 08:12 ~ 10:16 (2h3m)
- 13:01 ~ 16:26 (3h25m)
- Real Analysis (MIT OCW 18.100A): Studied:
0.3.5 Cardinality
- 20:16 ~ 21:04 (48m)
- Real Analysis (MIT OCW 18.100A): Studied:
0.3.5 Cardinality
- 11:24 ~ 14:24 (3h)
- 18:16 ~ 19:49 (1h33m)
- Real Analysis (MIT OCW 18.100A): Revised the existing notes because I haven't studied the subject for almost half a year (because I switched my gear to Stanford CS103 during this time).
- Real Analysis (MIT OCW 18.100A): Studied Chapter 1 (Real Numbers), Section 1.1: Basic properties.
- 11:38 ~ 13:06 (1h28m)
- Real Analysis (MIT OCW 18.100A): Studied Chapter 1 (Real Numbers), Section 1.1: Basic properties.
- 16:56 ~ 17:11 (14m)
- 17:47 ~ 18:12 (24m)
- Real Analysis (MIT OCW 18.100A): Exercise 1.1.1
- 19:49 ~ 21:29 (1h40m)
- Real Analysis (MIT OCW 18.100A): Exercises 1.1.2 and 1.1.3.
- 22:15 ~ 23:15 (1h)
- Real Analysis (MIT OCW 18.100A): Exercises 1.1.4 and 1.1.5.
- 08:00 ~ 09:00 (1h)
- 20:51 ~ 23:28 (2h36m)
- Real Analysis (MIT OCW 18.100A): Exercises 1.1.6. and 1.1.7.
- 12:38 ~ 16:14 (3h36m)
- Real Analysis (MIT OCW 18.100A): Exercise 1.1.8.
- 10:56 ~ 12:54 (1h57m)
- 13:13 ~ 13:40 (27m)
- Real Analysis (MIT OCW 18.100A): Exercise 1.1.8.
- 20:20 ~ 22:50 (2h30m)
- Real Analysis (MIT OCW 18.100A): Exercise 1.1.6 and 1.1.8.
- 08:25 ~ 09:30 (1h5m)
- Real Analysis (MIT OCW 18.100A): Exercise 1.1.2 (revisiting).
- 08:20 ~ 08:53 (33m)
- Learn about the difference between a maximal/minimal element and a maximum/minimum element.
- 11:46 ~ 13:27 (1h41m)
- 14:23 ~ 15:25 (1h2m)
- 18:03 ~ 19:41 (1h37m)
- 20:02 ~ 20:35 (32m)
- 20:45 ~ 21:28 (43m)
- Introduction to Lattices and Order: Chapter 1
- 11:00 ~ 12:07 (1h7m)
- 12:59 ~ 16:04 (3h5m)
- 18:11 ~ 21:00 (2h49m)
- 21:36 ~ 22:28 (52m)
- Introduction to Lattices and Order: Chapter 1
- Real Analysis (MIT OCW 18.100A): Exercises 1.1.2 and 1.1.6.
- 05:50 ~ 06:50 (1h)
- 20:48 ~ 22:17 (1h28m)
- Introduction to Lattices and Order: Chapter 1
- 19:57 ~ 21:14 (1h17m)
- Introduction to Lattices and Order: Chapter 1
- 12:16 ~ 12:40 (24m)
- 13:56 ~ 15:18 (1h22m)
- Introduction to Lattices and Order: Chapter 1
- 18:23 ~ 19:40 (1h17m)
- Introduction to Lattices and Order: Chapter 1
- 11:21 ~ 12:35 (1h14m)
- 16:00 ~ 19:40 (3h40m)
- Introduction to Lattices and Order: Chapter 1
- 14:51 ~ 16:19 (1h28m)
- Real Analysis (MIT OCW 18.100A): Review notes.