2019 Calculus Recitation II M(1~10)

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Academic unit or major
Basic science and technology courses
Kawai Shingo 
Class Format
Media-enhanced courses
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Syllabus updated
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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.


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 Limit of a sequence of numbers, supremum, infimum Help better understand sequences of numbers.
Class 2 Continuity of real numbers, monotone sequence, Cauchy sequence Help better understand real numbers.
Class 3 Limit of functions of a single variable, continuity, maximum, intermediate-value theorem 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 Taylor's theorem, extremal value, definite integral Help better understand Taylor's theorem and extremal values.
Class 6 Set of points on a plane, sequence of points, multivariate function, Extreme value, partial differentiation, Taylor's theorem for multivariate functions Help better understand multivariate functions.
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 Help better understand sequences of functions.


See the syllabus of "Calculus II M".

Reference books, course materials, etc.

See the syllabus of "Calculus II M".

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


None in particular.

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