Course title
微分積分学Ⅰおよび演習   [Calculus Ⅰ]
Course category technology speciality courses  Requirement   Credit 3 
Department Department of Biomedical Engineering, Applied Physics(~2018)  Year 14  Semester 1st 
Course type 1st  Course code 021910
Instructor(s)
西村 滋人   [NISHIMURA Shigeto]
Facility affiliation Graduate School of Engineering Office   Email address

Course description
In this course, we will learn the differentiations and the integrations of various functions with one variable, and their properties. We will practice advanced computations in this course rather than in high schools.
Expected Learning
The goals of this course are
(1) to understand how to calculate extreme maximal and minimum values of functions, and
(2) to master basic methods of the differentiations and the integrations of various functions.
Course schedule
1. Continuity of real numbers and limits of functions
2. Continuity of functions
3. Differentiations of functions with one variable
4. Differentiations of inverse trigonometric functions
5. Differentiations in high order
6. The mean-value theorem
7. Taylor's theorem
8. Maximal and minimal of functions
9. Definite integration
10. Indefinite integrations and fundamental theorem of calculus
11. Exercises on integrations
12. Integrations of rational functions
13. Integrations of trigonometric functions
14. Integrations of irrational functions
15. Term examination
Prerequisites
Mathematics in high schools ( Mathematics I, II, III etc.)
Required Text(s) and Materials
References
Assessment/Grading
Results of the common examination at the last of the term
Message from instructor(s)
Course keywords
Limit, Differentiation, Taylors Series, Fundamental theorem of calculus.
Office hours
Remarks 1
Remarks 2
Related URL
Lecture Language
Japanese
Language Subject
Last update
3/19/2019 6:33:08 PM