Course title
微分積分学Ⅱ   [Calculus Ⅱ]
Course category		Requirement		Credit	2
Department		Year	2～	Semester	Spring
Course type	Spring	Course code	01MA0504c
Instructor(s)
本田 龍央   [HONDA Tatsuo]
Facility affiliation	Graduate School of Agriculture	Office		Email address

Course description

Understand and master various concepts on calculus of multivariable functions.

Expected Learning

・　To be able to understand, explain, and calculate partial differential and total differentiation of a two-variable function. ・　To be able to understand, explain, and calculate extreme values of a two-variable function. ・　To be able to understand, explain, and calculate of double integrals. ・　To be able to calculate volume and curved area.

Course schedule

1. Limit and continuity of a two-variable fuction. 2. Partial and total derivatives . 3. Partial derivatives of a composite function, higher derivations. 4. Tanlor's Theorem of a two-variable fuction. 5. Extreme values of a two-variable fuction. 6. Normal vectors and tangent planes，Implicit function theorem. 7. An extreme value problem with conditions. 8. Midterm exam. 9. Double integrals 10. Change of variables 11. Improper integral of a multivariable function. 12. Calculus of volumes. 13. Curved area 14. Triple integration. 15. Final exam.

Prerequisites

It assumes contents learned by CalculusⅠ.

Required Text(s) and Materials

I'll tell you in the first lecture.

References

Assessment/Grading

Evaluate by two tests conducted at the middle and the end of the term.

Message from instructor(s)

Course keywords

Office hours

Questions are accepted during and after the lecture.

Remarks 1

Remarks 2

Related URL

http://math-prof-test.mods.jp/Lecture/TUAT

Lecture Language

Japanese

Language Subject

Last update

3/27/2018 6:23:23 PM