IGESS (Institute for Global Economics and Social Sciences)

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MAT100CB(数学 / Mathematics 100)
Elementary Mathematics B

Robert Michael SINCLAIR

Class code etc
Faculty/Graduate school IGESS (Institute for Global Economics and Social Sciences)
Attached documents
Year 2022
Class code A9617
Previous Class code
Previous Class title
Term 春学期授業/Spring
Day/Period 月3/Mon.3
Class Type
Campus 市ヶ谷 / Ichigaya
Classroom name 各学部・研究科等の時間割等で確認
Grade 1~4
Credit(s) 2
Notes
Open Program
Open Program (Notes)
Global Open Program
Interdepartmental class taking system for Academic Achievers
Interdepartmental class taking system for Academic Achievers (Notes)
Class taught by instructors with practical experience
SDGs CP
Urban Design CP
Diversity CP
Learning for the Future CP
Carbon Neutral CP
Chiyoda Campus Consortium
Category General Education Courses/総合教育科目
Natural Sciences/自然分野
Faculty Sponsored Department IGESS

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Outline and objectives

This course will provide you with a solid grounding in calculus, which will allow you to understand advanced economic theory. An additional topic is basic data analysis, which will help you to recognize and study trends or patterns in real data.

Goal

You will learn how to interpret equations involving derivatives and integrals, and be able to solve standard calculus problems. You will also gain an understanding of the theory behind curve fitting.

Which item of the diploma policy will be obtained by taking this class?

IGESS Dipromapolicy DP2/DP9

Default language used in class

英語 / English

Method(s)(学期の途中で変更になる場合には、別途提示します。 /If the Method(s) is changed, we will announce the details of any changes. )

All classes for this course are discussion-based. Students will be encouraged to participate in discussions, ask questions, or even give an impromptu presentation if it is appropriate and helpful for everyone. There will also be regular homework assignments, which must be completed in writing and submitted by a given deadline. Homework assignments are to be submitted in class, and will be returned at the beginning of the following class. Individual written feedback will be provided as appropriate, and general comments regarding the homework submissions will be made in class.

Active learning in class (Group discussion, Debate.etc.)

あり / Yes

Fieldwork in class

なし / No

Schedule

授業形態/methods of teaching:対面/face to face

※各回の授業形態は予定です。教員の指示に従ってください。

1[対面/face to face]:Functions and Limits

Notation, special cases and basic rules.

2[対面/face to face]:Differentiation I

Notation and basic rules of ordinary differentiation.

3[対面/face to face]:Differentiation II

Derivatives of special functions.

4[対面/face to face]:Differentiation III

Taylor expansions of functions.

5[対面/face to face]:Differentiation IV

Numerical approximation of functions.

6[対面/face to face]:Integration I

Notation and basic rules of integration.

7[対面/face to face]:Integration II

Integrals of special functions.

8[対面/face to face]:Integration III

The relationship between differentiation and integration.

9[対面/face to face]:Integration IV

Differential equations.

10[対面/face to face]:Partial Differentiation I

Notation and basic rules of partial differentiation.

11[対面/face to face]:Partial Differentiation II

Partial differential equations.

12[対面/face to face]:Partial Differentiation III

Systems of differential equations.

13[対面/face to face]:Curve Fitting I

Polynomial curve fitting.

14[対面/face to face]:Curve Fitting II

Least Squares curve fitting.

Work to be done outside of class (preparation, etc.)

No preparation is required for this class.The standard preparation and review time for this class is 2 hours each.

Textbooks

You do not need to buy a textbook for this class.

References

References will be provided as appropriate.

Grading criteria

Participation in class discussions (10%) and submitted homework (90%).

Changes following student comments

This course is entirely discussion-based. Students will always have the opportunity to express their opinions and ask for changes. Suggested changes will be discussed in class. If there is general agreement, changes will be made.

Equipment student needs to prepare

It would be useful if you bring a notepad and some paper. Otherwise, you do not need to prepare any equipment for this class.

Others

Please note that if the number of students attending the first class significantly exceeds expectations, in order for the instructor to effectively manage the class, the number of students who are allowed to register for the course may be limited.