N1: Mathematical Methods in Science N1: 数学の方法 2018

Course Description

Mathematics is an indispensable tool in modern science. In this lecture, studying calculus, linear algebra and related topics from the beginning, students are expected to understand the methods of mathematics. The prerequisite is the first year mathematics in Japanese high school. (Enrollment will be limited to non-natural science majors.)

現代科学を理解するためには、数学の知識が不可欠である。ここでは、微積分と線形代数を中心に基礎から学ぶことにより、数学の方法を理解する。講義の予備知識は、高等学校の数学I 程度である。(理学科以外の学生を対象とする。)

Contents of Lectures 28 Lectures / 27 Videos

Basic Information   

※Parts of lecture using blackboard do not include video recording of blackboard.

※黒板を使用して説明している部分は声だけが収録されています。

Dec 05 : Lecture 1 1. Introduction

Dec 07 : Lecture 2 2. Sets and Logic

Dec 10 :  Lecture 3 3. Symbolic Logic

Dec 12 :  Lecture 4 4. Summary

Dec 14 :  Lecture 5 5. System of Linear Equations

Dec 17 :  Lecture 6 6. Solution Set

Dec 19 :  Lecture 7 7. Summary

Dec 21 :  Lecture 8 8. Operations of Matrices

Jan 07 :  Lecture 9 9. Inverse of a Matrix

Jan 09 :  Lecture 10 10. Applications

Jan 11 :  Lecture 11 11. Summary

Jan 16 :  Lecture 12 12. Polynomials

Jan 18 :  Lecture 13  13. Polynomial Functions

Jan 21 :  Lecture 14 14. Various Functions

Jan 23 :  Lecture 15 15. Summary

Jan 25 :  Lecture 16 16. Limits and Continuity

Jan 28 :  Lecture 17 17. Limits of Sequences and Functions

Jan 30 :  Lecture 18 18. Summary

Feb 04 :  Lecture 19 19. Differentiation

Feb 06 :  Lecture 20 20. Differentiation of Functions

Feb 08 :  Lecture 21 21. Applications

Feb 11 :  Lecture 22 21. Applications

Feb 13 :  Lecture 23 23. Integration

Feb 15 :  Lecture 24 24. Fundamental Theorem of Calculus

Feb 18 :  Lecture 25 25. Integration of Various Functions

Feb 20 :  Lecture 26 26. Summary

Feb 22 :  Lecture 27 27.Summary of the Course

Feb 25 :  Lecture 28 28. Review

Final

Instructor: SUZUKI‚ Hiroshi 鈴木寛( ICU Professor Emeritus 国際基督教大学 名誉教授) | Language of Instruction: E

Course ID: GEN024 | Course Schedule: 1/M,1/W,1/F | Update: 2019.09.26

Fields of Relation: Mathematics 数学 Category: General Education