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- 工学院，物質理工学院，環境・社会理工学院共通科目
- Liberal arts and basic science courses
- First-Year Courses
- School of Science
- School of Engineering
- School of Materials and Chemical Technology
- School of Computing
- School of Life Science and Technology
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School of Environment and Society
- Department of Architecture and Building Engineering
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- Graduate major in Technology and Innovation Management
- Common courses
- Liberal arts and basic science courses
- Academic unit or major
- Basic science and technology courses
- Instructor(s)
- Kawai Shingo
- Class Format
- Exercise (ZOOM)
- Media-enhanced courses
- Day/Period(Room No.)
- Wed1-2(W521)
- Group
- Q(41～50)
- Course number
- LAS.M107
- Credits
- 1
- Academic year
- 2020
- Offered quarter
- 3Q
- Syllabus updated
- 2020/9/18
- Lecture notes updated
- -
- Language used
- Japanese
- Access Index
-
Course description and aims
Based on "Calculus I", this course provides recitation for the limit of sequences of numbers and functions, applications of differentiation of functions of a single variable and partial differentiation of multivariate functions, series of numbers and sequences of functions.
The aim of this recitation course is to cultivate a better understanding of analysis which will be important for
science and engineering.
Student learning outcomes
Following "Calculus I", this course aims for a deeper understanding and development of the theory of calculus.
Keywords
Limit, continuity, Taylor's theorem, series, sequence of functions
Competencies that will be developed
| Specialist skills | Intercultural skills | Communication skills | Critical thinking skills | ✔ Practical and/or problem-solving skills |
Class flow
A recitation class is held every week in accordance with the progress of the lectures.
Course schedule/Required learning
| Course schedule | Required learning | |
|---|---|---|
| Class 1 | Continuity of real numbers, supremum, infimum | Help better understand of real numbers. |
| Class 2 | Limit of a sequence of numbers, monotone sequence, Cauchy sequence | Help better understand sequences of numbers. |
| Class 3 | Limit of functions of a single variable, continuity, maximum, intermediate-value theorem, differentiation, mean-value theorem | Help better understand analytic properties of functions. |
| Class 4 | Taylor's theorem, extremal value, definite integral | Help better understand Taylor's theorem and extremal values. |
| Class 5 | Set of points on a plane, sequence of points, multivariate function, Extreme value, partial differentiation, Taylor's theorem for multivariate functions | Help better understand analytic properties of multivariate functions. |
| Class 6 | Series, absolute convergence, conditional convergence | Help better understand series of numbers. |
| Class 7 | Sequences of functions, series of functions, power series | Help better understand sequences of functions, series of functions and, in particular, power series. |
Out-of-Class Study Time (Preparation and Review)
To enhance effective learning, students are encouraged to spend approximately 100 minutes preparing for class and another 100 minutes reviewing class content afterwards (including assignments) for each class.
They should do so by referring to textbooks and other course material.
Textbook(s)
See the syllabus of "Calculus II Q".
Reference books, course materials, etc.
See the syllabus of "Calculus II Q".
Assessment criteria and methods
Based on overall evaluation on the results of quizzes, reports, mid-term and final examinations. Details will be announced in class.
Related courses
- LAS.M101 ： Calculus I / Recitation
- LAS.M105 ： Calculus II
Prerequisites (i.e., required knowledge, skills, courses, etc.)
Students are supposed to have completed Calculus I / Recitation (LAS.M101).
Other
None in particular.
