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 better understanding about analysis which is important in learning science and engineering.
Following "Calculus I", this course aims for deeper understanding and development of knowledge on the theory of calculus.
Limit, continuity, Taylor's theorem, series, sequence of functions
Specialist skills | Intercultural skills | Communication skills | Critical thinking skills | ✔ Practical and/or problem-solving skills |
A recitation class is opened every week in accordance with lectures.
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. |
Calculus by English, Jan Brezina, Eiji Yanagida
None in particular
Based on overall evaluation of the results for quizzes, report, mid-term and final examinations. Details will be announced during a lecture.
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.