### 2016　Calculus Recitation II

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Basic science and technology courses
Instructor(s)
Onodera Michiaki
Course component(s)
Exercise
Day/Period(Room No.)
Wed1-2(H101)
Group
O(21〜30)
Course number
LAS.M107
Credits
1
2016
Offered quarter
4Q
Syllabus updated
2017/1/11
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

Intercultural skills Communication skills Specialist 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 Limit of a sequence of numbers, supremum, infimum Help better understand sequences of numbers.
Class 2 Point set on a plane, sequence of points, continuity of real numbers, monotone sequence, Cauchy sequence Help better understand sequences of points.
Class 3 Limit of functions of a single variable, continuity, maximum, intermediate-value theorem, limit of multivariate functions, continuity Help better understand continuous functions.
Class 4 Differentiation, Roll's theorem, mean-value theorem, limit of indeterminate forms, l'Hospital's rule Help better understand differentiation.
Class 5 Partial differentiation, partial derivatives, Taylor's theorem for multivariate functions Help better understand Taylor's theorem.
Class 6 Extreme value, definite integral, fundamental theorem of calculus Help better understand differentiation and integral.
Class 7 Series, absolute convergence, conditional convergence, criteria for the convergence of series Help better understand series of numbers.
Class 8 Sequences of functions, series of functions, advanced topics Help better understand sequences of functions.

### Textbook(s)

Sugaku series, Bibunsekibungaku, Makoto Nanba

### Reference books, course materials, etc.

None in particular

### Assessment criteria and methods

Based on overall evaluation of the results for quizzes, report, mid-term and final examinations. Details will be announced during a lecture.

### 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 must register Calculus II (LAS.M105) at the same time.

### Other

None in particular.