Basic Mathematics
Teachers KAMIDE, Norihiro Year 1　I/III [Department of Information Science Correspondence Course, Faculty of Science and Engineering] Basic Major Subjects メディア授業 Requisites　2credit 4B102

#### Course Description

The contents of the lectures are summarized as follows: (1) trigonometric functions (also called circular functions, angle functions or goniometric functions), (2) exponential and logarithmic functions, (3) sequence and series, (4) vector, and (5) complex number.

#### Course Objectives

The aim of this course is to understand the following items: (1) basic concepts of elementary functions (i.e., trigonometric functions, exponential function, logarithmic function, etc.), (2) how to calculate the limit of infinite sequence and the sum of infinite series, and (3) how to use vector and complex number.

Students are evaluated by a term examination, some midterm examinations, and some quizzes.

#### Textbook and Reference

KindTitleAuthorPublisher
TextbookNo textbook. The original slides and video contents are used.
ReferencesNo reference. The original slides and video contents are used.

#### Requirements(Assignments)

The slides of the lecture should be read. The video contents of the lecture should be viewed.

#### Note

LMS is used in this course.

#### Schedule

1Introduction.
2Trigonometric functions (1): Law of sines. Law of cosines.
3Trigonometric functions (2): Compound angle formula. Inverse trigonometric functions.
4Exponential and logarithmic functions (1): Basic concepts.
5Exponential and logarithmic functions (2): Graphs.
6The limit of sequence (1): The limit of infinite sequence. Infinite geometric sequence.
7The limit of sequence (2): The sum of infinite series. d'Alembert's ratio test.
8The limit of function (1): The limit of trigonometric, exponential, and logarithmic functions.
9The limit of function (2): Continuous functions. Differentiable functions. L'Hospital's rule.
10Vector (1): Basic concepts and notations.
11Vector (2): Inner product. Outer product.
12Complex number (1): Complex plane. Polar form.
13Complex number (2): De Moivre's theorem. Euler's formula.
14Advanced topics: Use of computer science.
15Summary and term examination.