Applied Mathematics
TeachersWATANABE, RyujiStaffInfo
Grade, SemesterYear 2 2nd semest [Department of Information and Electronic Engineering, Faculty of Science and Engineering]
CategorySpecial Subjects
Elective, CreditsElective 2credit
 Syllabus Number3F218

Course Description

 This course provides an introduction to differential equations, Laplace transform and Fourier analysis necessary in the following specialized courses. The items are as follows: differential equation and its solutions, method of separation of variables, homogeneous differential equation, linear differential equation, exact differential, linear differential equation of the second order, Laplace transform, inverse Laplace transform, wave equation, conductional equation of heat, Laplace equation, series expansion of functions, Fourier expansion, convergence of Fourier series, solution method of differential equation by series expansion.
 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

Textbook“Engineering Mathematics: Applied Mathematics” Y.TashiroMorikita Publishing (2002) in Japanese. (ISBN 4-627-04951-2)
Textbook“Engineering Mathematics: Calculus (2nd edition)” Y.TashiroMorikita Publishing (1999) in Japanese. (ISBN 4-627-04932-3)
References Unnecessary


 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.


 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.


1Differential equations : Differential equation and its solutions, Method of separation of variables
2Differential equations : Homogeneous differential equation, Linear differential equation
3Differential equations : Exact differential, Linear differential equation of the second order
4Differential equations : Exercises
5Laplace transform : Laplace transform
6Laplace transform : Inverse Laplace transform
7Laplace transform : Wave equation
8Laplace transform : Conductional equation of heat, Laplace equation
9Laplace transform : Exercises
10Fourier analysis : Series expansion of functions
11Fourier analysis : Fourier expansion
12Fourier analysis : Convergence of Fourier series
13Fourier analysis : Solution method of differential equation by series expansion, Wave equation
14Fourier analysis : Exercises
15Review, Term-end examination