| Academic Year |
2024Year |
School/Graduate School |
Liberal Arts Education Program |
| Lecture Code |
63032003 |
Subject Classification |
Foundation Courses |
| Subject Name |
微分積分通論[1情] |
Subject Name
（Katakana） |
ビブンセキブンツウロン |
Subject Name in
English |
Elements of Calculus |
| Instructor |
MUKAIDANI HIROAKI |
Instructor
(Katakana) |
ムカイダニ ヒロアキ |
| Campus |
Higashi-Hiroshima |
Semester/Term |
1st-Year, First Semester, 1Term |
| Days, Periods, and Classrooms |
(1T) Tues9-10,Thur9-10：IAS K211 |
| Lesson Style |
Lecture |
Lesson Style
(More Details) |
|
| Lecture-oriented class |
| Credits |
2.0 |
Class Hours/Week |
|
Language of Instruction |
J
:
Japanese |
| Course Level |
1
:
Undergraduate Introductory
|
| Course Area（Area） |
25
:
Science and Technology |
| Course Area（Discipline） |
01
:
Mathematics/Statistics |
| Eligible Students |
|
| Keywords |
|
| Special Subject for Teacher Education |
|
Special Subject |
|
Class Status within
Liberal Arts Education | As pre-specialized education, which is organically linked to specialized education, Foundation Courses are aimed at providing students with the basic knowledge necessary to understand specialized studies in their chosen areas, and thereby providing them w |
|---|
| Expected Outcome | To understand, acquire, and be able to explain the logical structure and system of the basic disciplines in accordance with each subject and the knowledge and skills necessary for further academic development. |
|---|
Class Objectives
/Class Outline |
The aim of classes is to acquire basic knowledge and skills about the calculus.
· Real number, limit, continuous
· Derivative, mean value theorem
· Sequence, series
· Indefinite integral
· Volume, arc length |
| Class Schedule |
Lesson 1 Guidance
Lesson 2 Limit of a sequence
Lesson 3 Series
Lesson 4 Function limit / continuity
Lesson 5 Definition of differential coefficient / derivative
Lesson 6 Derivative of synthetic function, inverse function, trigonometric function, exponential function, logarithmic function
Lesson 7 Derivative Exercise
Lesson 8 n-th derivative, implicit function / parameter Derivative of the displayed function
Lesson 9 Indefinite integral
Lesson 10 Indefinite integral of various functions
Lesson 11 Integral Exercise
Lesson 12 Definite Integral
Lesson 13 Mean Value Theorem / Inflection Point / Approximation / Velocity
Lesson 14 Volume, arc length, distance
Lesson 15 Calculus comprehensive, Graph of various functions |
Text/Reference
Books,etc. |
The thextbook will be specified at the time of the first class. |
PC or AV used in
Class,etc. |
|
| (More Details) |
Textbook, handouts. |
| Learning techniques to be incorporated |
|
Suggestions on
Preparation and
Review |
Prepare and review as needed. |
| Requirements |
It is a lecture for the Information Science Division. Students of other faculties are not allowed to attend at all.
We do not premise knowledge of "Mathematics III" of senior high school. |
| Grading Method |
The grade will be based on final examination and midterm examination.
Perform mini-tests each time. |
| Practical Experience |
|
| Summary of Practical Experience and Class Contents based on it |
|
| Message |
|
| Other |
【In case the number of registered students exceed 250, a computerized random selection will be carried out.】 |
Please fill in the class improvement questionnaire which is carried out on all classes.
Instructors will reflect on your feedback and utilize the information for improving their teaching. |