Basic Mathematics
TeachersFUKUDA NaokiStaffInfo
Grade, SemesterYear 1 2nd semest [Department of Mechanical and Precision System, Faculty of Science and Engineering]
CategoryBasic Major Subjects
Elective, CreditsRequisites 2credit
 Syllabus Number1A101

Course Description

How is an exponential generalized to the exponential function done? How is an index to express the number of digits generalized to the logarithmic function done? How did the relation of angles and sides of the right-angled triangle transform into the trigonometric function, in which a graph has a wavy shape? In this course, students will understand these matters by studying whole steps without omitting middle, and will actually be able to use them through exercises.

Course Objectives

The exponential function, logarithmic function, and trigonometric function are important functions frequently used in natural science and engineering. The aim of this course is understanding and mastering the basic usage of these functions. Another aim is to be able to hypothesize the rough shape of a graph and an approximate value as well as the calculation rule.

Grading Policy

Students will be evaluated based on periodic test (80%) and report assignment (20%). The submitted report tasks will be corrected and returned.

Textbook and Reference

TextbookBasic mathematics of engineering mathematicsYoshihiro Tashiro Morikita Shuppan Co., Ltd


Always read the textbook before the next lesson. Note down the part which you don’t understand. (About 1 hour). After class, please solve the exercises in the textbook as instructed (about 1 to 2 hours) and submit it as a report at the beginning of the next lesson. The number of the exercise that is an assignment will be posted on LMS after each lesson.


Please bring and use a scientific calculator to solve the exercises during lesson.
Progress may be followed by degree of comprehension, so we will focus on the review subject and the next preparatory range in each lesson.


1Power and exponential law
[Preparation] Read through the textbook p. 86-88, clarify the points that can not be understood and go to class.
[Review] Solve problems 9.1 and 9.2 (p.88) and submit them as reports at the start of the next lesson.
2Definition of exponential function by applying extended law of exponent
3Exponential calculation (problem exercises)
4Logarithm, the number of digits and common logarithm
5Logarithm function as inverse function of exponential function
6Logarithm calculation (problem exercises)
7Summary of exponential and logarithm function
[Problem Questionnaire] We ask the representative to write the answer on the designated problem on a blackboard.
8General angles and trigonometric functions
9Concept of triangular ratio, definition of trigonometric function
10Trigonometric function relationship, trigonometric function graph
11Trigonometric function equation, inequality
12Trigonometric additive theorem, formula
13Trigonometric formula, theorem
14The characteristic of the triangle
15Overall summary and review