Basic Mathematics
TeachersWATANABE, Ryuji
Grade, SemesterYear 1 1st semest [Department of Information and Electronic Engineering, Faculty of Science and Engineering]
CategoryBasic Major Subjects
Elective, CreditsRequisites 2credit
 Syllabus Number3F112

Course Description

 This course covers basic mathematics necessary in the following mathematical studies on a university level and specialized courses. The items are as follows: Exponential functions, logarithmic functions, trigonometric functions, vectors, complex numbers, and limits of sequences and functions.
 The classes consist of lectures and exercises. Every class begins with solving problems as a review of the previous class. 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 so that they can study textbooks in the following mathematics and 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 Not designated.
References “Mathematics Ⅱ”, “Mathematics B”, “Mathematics Ⅲ”Approved by the MEXT on a high school level.

Requirements(Assignments)

 Students are required to review the lectures and to do the homework assignments.
 

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

1Exponential functions, Logarithmic functions : n-th power and n-th root, Law of exponent
2Exponential functions, Logarithmic functions : Exponential functions, Logarithm, Logarithmic functions
3Exponential functions, Logarithmic functions : Practices
4Trigonometric functions : General angle and circular measure, Trigonometric functions
5Trigonometric functions : Inverse trigonometric functions, Practices
6Vectors : Definition of vectors, Operation of Vectors, Linearly independent and linearly dependent
7Vectors : Components of vectors, Inner product, Outer product
8Vectors : Practices
9Complex numbers : Complex numbers, Complex planes
10Complex numbers : de Moivre’s theorem, Euler’s formula
11Complex numbers : Practices
12Limits of sequences and functions : Sequences and limits of sequences, Series
13Limits of sequences and functions : Limits of functions
14Limits of sequences and functions : Practices
15Review, Term-end examination