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.
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
Intercultural skills | Communication skills | Specialist skills | Critical thinking skills | Practical and/or problem-solving skills |
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A recitation class is held every week in accordance with the progress of the lectures.
Course schedule | Required learning | |
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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. |
Introduction to Calculus in English, Jan Brezina, Eiji Yanagida
None in particular
Based on overall evaluation on the results of quizzes, reports, mid-term and final examinations. Details will be announced in class.
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.