Calculus 2
TeachersWATANABE, RyujiStaffInfo
Grade, SemesterYear 2 1st semest [Department of Information and Electronic Engineering, Faculty of Science and Engineering]
CategoryBasic Major Subjects
Elective, CreditsRequisites 2credit
 Syllabus Number3F115

Course Description

 This course provides an introduction to calculus of functions of many variables and differential equations necessary in the following mathematical courses and specialized courses. The items are as follows: Functions of many variables, partial derivative, differentiation of composite functions, mean value theorem, Taylor’s expansion, maximum and minimum, determination of extreme values, theorem on implicit functions, conditional problem of extreme values, multiple integral, iterated integral, change of the order of integration, multiple integration by polar coordinates, integration of Gauss distribution, differential equation and its solutions, and homogeneous linear differential equation of the second order with constant coefficients.
 The classes consist of lectures and exercises. Students will give presentations on homework assignments in the classes.
 This subject is related to the clause 3 of the diploma policy of the Department of Information and Electronic Engineering.
 

Course Objectives

 This course aims to improve the basic knowledge of mathematics for scientists and engineers and to enhance students' overall mathematical levels by solving mathematical problems in order that they can study textbooks in specialized courses on their own.
 

Grading Policy

 The term-end examination (80%) and presentations on homework assignments in the classes (20%) will be evaluated.
 The acceptance line is accuracy rate of 60% in the above term-end examination and presentations on homework assignments.
 

Textbook and Reference

KindTitleAuthorPublisher
Textbook“Engineering Mathematics: Calculus (2nd edition)” Y.Tashiro Morikita Publishing (1999) in Japanese. (ISBN 4-627-04932-3)
References Unnecessary

Requirements(Assignments)

 Students are required to review the lectures and to do the homework assignments.
 Preparation of calculus of the functions of one valuable on a university level is also required.
 

Note

 It is recommended for students to access the homework assignments on the LMS.
 It is prohibited for students to refer the textbook and notebook in term-end examination and makeup examination.
 

Schedule

1Functions of many variables : Functions of many variables
2Differentiation of the functions of many variables : Partial derivative
3Differentiation of the functions of many variables : Differentiation of composite functions
4Differentiation of the functions of many variables : Mean value theorem, Taylor's expansion
5Differentiation of the functions of many variables : Maximum and minimum
6Differentiation of the functions of many variables : Determination of extreme values
7Differentiation of the functions of many variables : Theorem on implicit functions
8Differentiation of the functions of many variables : Conditional problem of extreme values
9Integration of the functions of many variables : Multiple integral
10Integration of the functions of many variables : Iterated integral, Change of the order of integration
11Integration of the functions of many variables : Multiple integration by polar coordinates
12Integration of the functions of many variables : Integration of Gauss distribution
13Differential equations : Differential equation and its solutions
14Differential equations : Homogeneous linear differential equation of the second order with constant coefficients
15Review, Term-end examination