2016 Calculus Recitation II

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Academic unit or major
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
Academic year
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.

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