[University Entrance Exams] 3 Math Reference Books That Helped Me Get Into an Imperial University Without Cram School!!

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In this video, I would like to introduce some recommended math reference books!!

These are the actual reference books I used during high school, so please give them a try!!

1: Nyumon Mondai Seiko (Introductory Problem Mastery)

The first one is Nyumon Mondai Seiko (Introductory Problem Mastery).

This reference book is part of the "Mondai Seiko" series from Obunsha. The series has four levels: pink for introductory, green for basic, blue for standard, and navy for advanced.

The level of the introductory book (hereafter: Nyumon) is about the same as a textbook, so it can be used for previewing high school lessons, reviewing, or as a supplement when you don't quite understand the content of a class.

I used it for Math IIB and IIIC, and I used it to understand difficult units like limits, differentiation, and integration.

2: Blue Chart

The second one is Blue Chart. The reference book I used for the longest time during my exam period was the Blue Chart. The Blue Chart is divided into four parts: Examples, Practice, EX, and Comprehensive Exercises. Among these, Examples and EX are super important. There are a huge number of problems, so if you're going to start, make a plan and start right now.

I did the Examples in my first and second years, started the EX in February of my second year, and finished around the first half of August in my third year.

The volume is just massive, but since the only downside is the sheer amount of work, if you finish it, you'll be prepared to solve most university entrance exam problems.

In terms of difficulty, the Examples are slightly easier than standard entrance exam small questions or basic problems. The EX problems are about the difficulty level of standard entrance exam questions.

Of course, it's fine to only do the units you are weak in or where you want more practice.

And once you can solve the Examples in the Blue Chart, I recommend trying a past exam paper once.

This is because by looking at past papers, you can see the gap between your current level and the level of your target university.

If the gap is large, try doing the EX problems or the reference book I will introduce next. If you can't solve anything at all, there must be parts within the Examples that you haven't fully understood yet.

3: High-Level Math Complete Mastery

The third one is High-Level Math Complete Mastery (hereafter: High-Kan). The level of High-Kan is about as difficult as entrance exam problems for top-tier universities or medical school entrance exams.

Each and every problem is super difficult, and there are even problems where the explanation is 10 pages long.

Also, the explanations include problems from Osaka University and Nagoya University.
However, since there are only about 40 problems per book, it is very short, so you get a great sense of accomplishment every time you finish one.

Personally,I found it to be a really fun reference book.

Because it has so many explanations, it covers everything from textbook-level definitions, so it is quite easy to work through after doing the exercises in the Blue Chart.

By working on 'High-Level Math Complete Strategy' at the same time as you start past exam papers, you can efficiently train your thinking skills.

Conclusion

To summarize, for understanding the basics of math, useIntroductory Problem Mastery,if you want to build up a lot of practice, useBlue Chart,and if you want to solve problems carefully to train your thinking skills, useHigh-Level Math Complete Strategy!!

Next time, I will talk about the Blue Chart!!