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Mathematics
[Introduction to Contents]
The author, who has been involved in guidance for entrance exams for many years, carefully selected excellent questions at the level of the University of Tokyo, Kyoto University, and Tokyo University of Science (Tokyo Institute of Technology) and gave detailed explanations.
1. In order to develop the ability to prepare for entrance exams for difficult universities, 148 questions worth considering over time (including 29 titles) were carefully selected.
2. The idea for solving problems in two stages of "精講" → "Answer" is explained, so that students can learn efficiently.
3. Only the questions are listed first so that they can be used as a work book.
Contents
Chapter 1 Vectors
Chapter 2 Curves on Planes
Chapter 3 Complex Planes
Chapter 4 Limits of Sequences and Limits of Functions
Chapter 5 Differentiation and Applications
Chapter 6 Integration and Applications
Chapter 7 Area, Volume and Length of Curves
Brief history of the author
He entered the Department of Mathematics, School of Science, University of Tokyo, with the simple feeling that he enjoyed solving mathematical problems when he was a high school student in Hakodate.
After completing a master's and doctoral course at the Graduate School of Science, University of Tokyo, he worked at Chiba Institute of Technology for research on nonlinear functional analysis (doctor of science) and basic education in mathematics.
He also continued to teach mathematics at the Sundai Preparatory School for many years since he was a graduate student.