授業の目的 【英語】
Goals of the Course [ENG] | | | 【Standardized across all programs】 Mathematics originated in ancient Greece as one of the oldest disciplines, and has developed as a foundation and representative field of modern natural science to the present day. Along with the deepest and most beautiful world of number theory, the vast world of mathematical science connected to various fields spreads out there. The goal of this course is to introduce you to the diverse world of modern mathematics that lies beyond mathematics up to high school. In this course, we ｔｒｙ to convey that defining mathematical concepts and creations of theories are extremely human activity. Also, mathematics is established through negotiations with various disciplines such as physics, and it provides new perspectives. |
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授業の達成目標 【英語】
Objectives of the Course [ENG] | | | By the end of the course, students will be able to grasp fundamental mathematical concepts and become comfortable with their use and manipulation. They will also understand how these ideas can be applied to a variety of real-world settings. |
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授業の内容や構成
Course Content or Plan | | A tentative list of topics we aim to cover includes:
- Review of algebraic manipulation and fractions
- Linear equations
- Quadratic equations
- Functions of a single variable
- Composite and inverse functions
- Exponential and logarithmic functions
- Limits, continuity and differentiation
- Minimum, maximum and optimisation
- Systems of equations and matrices
- Linear difference equations
Numerous examples and applications of these topics in economics and social sciences will be considered.
The precise content that will be covered in the lectures is flexible and will depend on the interests of the students and their majors. |
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履修条件・関連する科目
Course Prerequisites and Related Courses | | | No formal prerequisites. Basic skills in manipulating algebraic expressions, solving equations etc. will be helpful. |
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成績評価の方法と基準
Course Evaluation Method and Criteria | | The grade will be determined by online quizzes (10%), homework assignments (40%), a midterm exam and final exam (50%).
Students who wish to withdraw from the course are asked to inform the instructor. |
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教科書
Textbook | | V. C. Mavron, T. N. Phillips: Elements of Mathematics for Economics and Finance. Springer-Verlag, London, 2007. ISBN-10: 1-84628-560-7.
It is not necessary to purchase this textbook.
Lecture summary notes will be distributed to students. |
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参考書
Reference Book | | R. Huettenmueller: Pre-calculus demystified. McGraw-Hill, New York, 2005.
L. Peccati, M. D'Amico, M. Cigola: Maths for Social Sciences. Springer, Switzerland, 2018.
A. Asano: An Introduction to Mathematics for Economics. Cambridge University Press, 2013.
Pre-college Mathematics on Nagoya University OpenCourseWare: https://ocw.nagoya-u.jp/en/courses/0516-Pre-college-Mathematics-Optional-subject-2015/ |
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課外学修等
Study Load (Self-directed Learning Outside Course Hours) | | | Homework questions and quizzes will be given during the course. Students are also expected to revise the lecture content. |
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注意事項
Notice for Students | | |
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本授業に関するWebページ
Reference website for this Course | | |
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担当教員からのメッセージ
Message from the Instructor | | This course has very few prerequisites so I hope you will give it a try, even if you are not so confident in mathematics.
The course is also recommended for Japanese/regular program students who wish to try a course in English. The content is not so difficult and all important details are written on the blackboard. |
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実務経験のある教員等による授業科目（大学等における修学の支援に関する法律施行規則に基づくもの）
Courses taught by Instructors with practical experience | | |
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授業開講形態等
Lecture format, etc | | B-3）Face-to-face course（both simultaneous interactive and on-demand methods will be provided when necessary)
* Classrooms for face-to-face classes can be found in Timetable B on the ILAS website. |
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