Course title
V0021500
Mathematics 2 Exercises

 enomoto yuko Click to show questionnaire result at 2017
Course description
This is a course on practice of calculus. Student will learn how to compute partial derivatives and multiple integral.
Purpose of class
The purpose of this class is to understand the difference between function of one variable and function of several variables. Moreover, student will be able to compute partial derivatives and multiple integral.
Goals and objectives
  1. To understand the difference between function of one variable and function of several variables
  2. To be able to compute partial derivatives and to understand its application
  3. To be able to compute multiple integral and to understand its application
Language
Japanese
Class schedule

 Class schedule HW assignments (Including preparation and review of the class.) Amount of Time Required
1. Definition of function of several variables Review of Mathematics 1 60minutes
2. Limit of function of several variables Review of a previous lecture 60minutes
3. Continuity of function of several variables Review of a previous lecture 60minutes
4. Definition of partial derivatives Review of a previous lecture 60minutes
5. Higher-order partial derivatives Review of a previous lecture 60minutes
6. Differentials Review of a previous lecture 60minutes
7. Differentiation of composite functions Review of a previous lecture 60minutes
8. Taylor's theorem for several variables Review of a previous lecture 60minutes
9. Extreme value problem Review of a previous lecture 60minutes
10. Definition of multiple integral Review of a previous lecture 60minutes
11. Iterated integrals Review of a previous lecture 60minutes
12. Transformations of multiple integrals Review of a previous lecture 60minutes
13. Improper integral of multiple integrals Review of a previous lecture 60minutes
14. Examination Review of a previous lecture 60minutes
Total. - - 840minutes
Relationship between 'Goals and Objectives' and 'Course Outcomes'

 Examination exercise Total.
1. 10% 10% 20%
2. 25% 15% 40%
3. 25% 15% 40%
Total. 60% 40% -
Evaluation method and criteria
Examination and exercise
Textbooks and reference materials
I introduce textbooks in the first lecture.
Prerequisites
Mathematics 1, Mathematics 2
Office hours and How to contact professors for questions
  • Before or after the lecture
Relation to the environment
Non-environment-related course
Regionally-oriented
Non-regionally-oriented course
Development of social and professional independence
  • Course that cultivates an ability for utilizing knowledge
Active-learning course
Most classes are interactive
Last modified : Wed Oct 17 07:32:11 JST 2018