Reviews on 2021.2 master entrance exam for Kyoto University

Kisaragi
4 min readFeb 15, 2021

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ksrgtech.com

Some references

Undergraduate University: Northeast Normal University(China)
Major: Mathematical Statistics
GPA: 87/100
TOEFL ibt: 96/120
Japanese: N1(scraped over)

Department: System Science
I applied first for a research student program in October,2020, and then took the admission exam in February,2021. People said research students had bigger chance of getting in but I doubt it since it all depends on how good you performed in the exam

Written exam

Because of the COVID, only 11 people signed up for this winter entrance exam, 9 of them are for the April intake (two of them did show up because they passed the exam in Tokyo University), and 2 students are for the October intake (including me)

10:00 am to 12:00 pm : Mathematics (linear algebra + calculus)
1:00 pm to 4:00 pm: Specialized subjects (complex function + probability and statistics)

Generally speaking, the questions this time are quite simple, but I still failed to finish the second question of linear algebra and the third question of complex function.
So in all, questions that can be done are simple, and questions that cannot be done are difficult.

The first question of the linear algebra is very basic, which is the flexible use of the matrix, but when it came to the second question, I couldn’t work it out.
Calculus is really too simple. There are some similar questions in previous exams.
The first two questions of the complex function are very conventional, but the third question…
Probability statistics are of ordinary difficulty, neither easy nor difficult, and it required a lot of calculation this time.

Interview

The 7-minute interview was like seconds. There were 5 people who were absent for today’s interview. Only 6 people showed up today. We were divided into two groups, A and B. I was the second in group B. Japanese and English both are welcomed in the Interview. The teacher who explained the rules of the interview especially emphasized that there is nothing to feel anxious about.

The following questions were asked:
Why chose our department?
Why came to Kyoto University?
What research did you do during your time as a research student? (Asked by my professor in the laboratory)
Our classes are all in Japanese, are you able to catch up?
Have you passes the N1 or N2 exam? (Also asked by my professor)
Who pays for your tuition?

Admission status

Qualified

Review process

Chinese, Japanese and English terminology reference

Portal

timeline

  • 2020.10 Round one review for linear algebra and calculus

This month I mainly focused on linear algebra.

Difficulty: ⚡⚡
Linear algebra exercise book. Each chapter of this book is divided into two parts: basic exercises and improved supplementary problems. I think the basic exercises part is sufficient for the this exam
《高等代数辅导与习题解答》北大·第四版 高等教育出版社, 王萼芳、石生明

Recommendation: 🎈🎈🎈
The linear algebra reference book is the reference book corresponding to the above exercise set, the content is concise
《高等代数》第五版 高等教育出版社, 王萼芳、石生明

Recommendation: 🎈🎈🎈🎈🎈
Linear algebra reference book, a highly recommended reference book, each proof of theorem and reasoning is very detailed.
《高等代数》(上册) 清华大学出版社, 丘维声

  • 2020.11 Round one review for calculus and probability statistics

The first half of this month, I focused on calculus. When reviewing probability and statistics, I was already here in Japan. In order to be familiar with answering questions in Japanese, I used Japanese books to review.

Difficulty: ⚡⚡⚡
Calculus exercise book. This exercise book played a great role in my undergraduate exam preparation, but for this Kyoto University exam, the content is not very suitable. I only did several questions in each chapter.
《数学分析辅导及习题精解》上册 延边大学出版社

Recommendation: 🎈🎈🎈
The calculus reference book, the mathematical analysis textbook used for undergraduates, has three volumes. Although I think Qiu Weisheng’s 数学分析教程》 is more systematic, But because it is the mathematical analysis textbook I am most familiar with, it is also the most convenient
《数学分析》第一册 北京大学出版社 伍胜健

Difficulty: ⚡⚡
Probability and statistics exercise book, the problems in this exercise book are very basic, you can go through them all if you have time
《明解演習 数理統計 (明解演習シリーズ)》 共立出版, 小寺 平治

Recommendation: 🎈🎈🎈🎈
Probability and statistics reference book, the content is very detailed, covering all the content of probability and statistics.
Introduction to the Theory of Statistics McGraw-Hill Professional, Alexander M. Mood

  • 2020.12 Round one review for complex variable functions and round two review for other subjects

I had been studying in complex function for almost the whole December.

Difficulty: ⚡
The complex function video on Bilibili, jusr as a warm up before get into the serious studying part
复变函数与积分变换(华中科技大学)

Recommendation: 🎈🎈🎈
Complex function reference book, this book is quite basic and very suitable for the early stage of reviewing
《工程数学:复变函数》 高等教育出版社, 西安交通大学高等数学教研室Mathematics, Xi’an Jiaotong University

Recommendation: 🎈🎈🎈
Complex function reference book, this book can be used as a supplement to the previous book
《复变函数简明教程》 北京大学出版社, 谭小江、伍胜健

Difficulty: ⚡⚡
Complex function exercise book, which is very suitable for the early stage of review
《詳解 大学院への数学》 東京図書

Difficulty: ⚡⚡⚡⚡
The exercise book for linear algebra and calculus.
《演習 大学院入試問題[数学] I》 サイエンス社, 姫野 俊一

  • 2021.1 Round 3 of review

This month I mainly focused on the conformal mapping

Difficulty: ⚡⚡⚡⚡
The exercise book for complex function,probability and statistics, especially the solution of definite integrals, are particularly helpful for review of complex function; the only drawback is that this book only covers probability, and there are not many contents about statistics.
《演習 大学院入試問題[数学] II》 サイエンス社, 姫野 俊一

Recommendation: 🎈🎈🎈
Comprehensive function reference book, this is a Japanese handout I found on the Internet, which can be used to get familiar with Japanese terms, and this handout explains the conformal mapping very clearly
《物理数学第一 複素関数論》 東京工業大学, 武藤 一雄

Hope this article is helpful for you. Thanks for reading.

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Kisaragi

A student study in Statistics, Mathematics, Machine Learning and Deep learning.