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|
A recitation class is held every week in accordance with the progress of the lectures.
|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.|
Calculus by 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.