Course title
微分積分学Ⅱおよび演習   [Calculus Ⅱ]
Course category	technology speciality courses,ets.	Requirement		Credit	3
Department		Year	1～4	Semester	Fall
Course type	Fall	Course code	021211
Instructor(s)
小泉 和之   [KOIZUMI Kazuyuki]
Facility affiliation	Graduate School of Agriculture	Office		Email address

Course description

The purpose of this class is to understand integral and differential in multidimensional function. In particular, please deepen their understanding by solving a lot of examples of them. It is desirable to review the knowledge of differential and integral of the univariate function is so essential (which is studied in Calculus I) and vector and matrix (which is studied in Linear algebra)

Expected Learning

Learners who successfully complete this class will be able to: ・Understanding limit and continuity of multidimensional function ・Calculating partial and total differential of multidimensional function ・Calculating derivative of composite function ・Understanding multidimensional Taylor’s and Maclaurin’s theorem ・Solving extremum problems for multidimensional function ・Calculating multiple integral for multidimensional function ・Understanding Applications of multiple integral ・Understanding series, line integral

Course schedule

1． The limit of multidimensional function: 　　Calculation of the limiting value for 2-dimensional function 　　Continuity of 2-dimansional function 2． Partial differential method: 　　Calculation of partial differential for 2-dimensional function 3． Derivative of composite function: 　　Understanding and calculating derivative of composite function 4． Taylor’s theorem: 　　Calculation of Taylor series for 2-dimensional function 5． Extreme value: 　　Calculation of extreme value for 2-dimensional function by using Taylor’s theorem 6． Level test 7． Multiple integral (1): 　　Understanding repeated integral 8． Transformation of variables: 　　Understanding transformation of variables for multiple integral 　　Calculation of Jacobian 9． Multiple integral (2) 　　Understanding triple integral 10．Improper multiple integral 　　Understanding improper multiple integral 11．Applications of multiple integral 　　Understanding some applications for multiple integral 12．Line integral and Green’s theorem 13．Series (1) 14．Series (2) 15．Level test

Prerequisites

Students entering this class are assumed to have had undergraduate Calculus I

Required Text(s) and Materials

References

Assessment/Grading

Result of tests（70％） Homework and exercise（30％）

Message from instructor(s)

Course keywords

Office hours

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Remarks 2

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Lecture Language

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Last update

9/14/2017 1:36:20 PM