### 2023　Calculus Recitation II O(21～30)

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Basic science and technology courses
Instructor(s)
Tanabe Masaharu
Class Format
Exercise    (Face-to-face)
Media-enhanced courses
Day/Period(Room No.)
Wed1-2(M-278(H121))
Group
O(21～30)
Course number
LAS.M107
Credits
1
2023
Offered quarter
4Q
Syllabus updated
2023/3/20
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)

The same textbook indicated by "Calculus II class O”

### Reference books, course materials, etc.

The same references indicated by "Calculus II class O”

### 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).
Students are recommended to take Calculus II (LAS.M105) at the same time.

### Other

Handouts and assignments of the recitation class will be uploaded to T2SCHOLA.