Course title
04102200
Differential and Integral Calculus 3

 nishimura tsuyoshi Click to show questionnaire result at 2017

matsuda haruhide Click to show questionnaire result at 2017

suwa masanori Click to show questionnaire result at 2017

arai kazumichi Click to show questionnaire result at 2017
and more...

arakawa tomoki Click to show questionnaire result at 2017

otsuki rei Click to show questionnaire result at 2017

kimura kenji Click to show questionnaire result at 2017

kobayashi teppei Click to show questionnaire result at 2017

sasano yusuke Click to show questionnaire result at 2017

niikuni hiroaki Click to show questionnaire result at 2017

fukushima nobuhisa Click to show questionnaire result at 2017

yashima takamasa Click to show questionnaire result at 2017
Course description
In differential and integral calculus 1,2, we learned about the differentiation and integration of a function with one independent variable, but when describing phenomena appearing in natural science and engineering by mathematical expressions, we need two or more independent variables.
In this lecture, we will learn about the differentiation and integration of a function with two or more independent variables. Also learn the graph of the function.

Note on Course: Mathematics is a stacked-up subject, so please make sure by reviewing the content of each lecture to solve the exercise problem inside and outside the lecture.
Purpose of class
Learn and understand the new definition of differentiation / integration of two variable function and the essential meaning of properties related to them, based on the differentiation / integration of one variable function, and various formulas and some effective Learn techniques and familiarize themselves with the fundamentals of differential integral calculation methods of typical two variable functions.
Goals and objectives
  1. Be able to explain the meaning of limit, continuity, partial derivatives, specific functions of two variable function.
  2. Be able to explain the meaning and nature of double integration.
  3. Be able to handle the partial differential of the two-variable function, the total differentiation, and the (partial) differentiation of the composite function.
  4. Be able to perform Change of integration order in heavy integration, heavy integration calculation including variable conversion can be performed.
Language
Japanese
Class schedule

 Class schedule HW assignments (Including preparation and review of the class.) Amount of Time Required
1. Graph of function with two variables Review Graph of function with two variables 60minutes
Problem exercises in the relevant part 120minutes
2. Limit of function with two variables Review Limit of function with two variables 60minutes
Problem exercises in the relevant part 130minutes
3. Partial differential coefficients, meaning of partial derivatives Review Partial differential coefficients, meaning of partial derivatives 60minutes
Problem exercises in the relevant part 130minutes
4. Simple partial differential calculation Review Simple partial differential calculation 60minutes
Problem exercises in the relevant part 130minutes
5.
Calculation of (Partial) differentiation of composite function 		Review Calculation of (Partial) differentiation of composite function 60minutes
Problem exercises in the relevant part 130minutes
6. Total differentials Review of total differentials 60minutes
Problem exercises in the relevant part 130minutes
7. Midterm and commenrtary Preparation for midterm exam 190minutes
8. Meaning of double integrals Review Meaning of double integral 60minutes
Problem exercises in the relevant part 130minutes
9. Properties of double integrals Review Properties of double integrals 60minutes
Problem exercises in the relevant part 130minutes
10. Double integral calculation using repeated integrals Review Double integral calculation using repeated integrals 60minutes
Problem exercises in the relevant part 130minutes
11. Double integral calculation using repeated integrals and interchange the order of integration Review Double integral calculation using repeated integrals and interchange the order of integration 60minutes
Problem exercises in the relevant part 130minutes
12. Calculation of double integrals using change of variables Review Calculation of double integrals using change of variables 60minutes
Problem exercises in the relevant part 130minutes
13. Calculation of double integrals using polar coordinates Review Calculation of double integrals using polar coordinates 60minutes
Problem exercises in the relevant part 130minutes
14. Final exam and commentary Preparation for final exam 190minutes
Total. - - 2650minutes
Relationship between 'Goals and Objectives' and 'Course Outcomes'

 Quizzes Midterm Final exam Total.
1. 10% 15% 25%
2. 7% 10% 17%
3. 10% 15% 25%
4. 13% 20% 33%
Total. 40% 60% -
Evaluation method and criteria
Mid-term exams, exercises, reports, quizzes etc. are set to 40%, final exams are set to 60%, and a total score of 60 or more is accepted.
Textbooks and reference materials
"New Basic Course in Differential and Integral calculus" Sakata, Nakamura, Bandai, Yamahara (Gakujyutu Tosho publishing)
Prerequisites
Must have taken differential and integral calculus 1, 2 once
Office hours and How to contact professors for questions
  • For full-time faculty, please refer to office hours of faculty profile. About part-time teachers are before and after class hours.
  • In mathematics department, basically each faculty does not rely on office hours, but as long as time permits, questions on subjects, etc. are accepted at any time so please do not hesitate to ask questions.
  • In the "Faculty of Engineering Learning Support Room" located on the 2nd floor of the University Hall, we give support for students with uneasy points and matters related to subjects on a one to one basis, so actively use it.
Relation to the environment
Non-environment-related course
Regionally-oriented
Non-regionally-oriented course
Development of social and professional independence
  • Course that cultivates a basic self-management skills
  • Course that cultivates a basic problem-solving skills
Active-learning course
About half of the classes are interactive
Last modified : Sun Feb 25 04:37:18 JST 2018