Calculus 1
Teachers MAKITA Masashi Year 1　2nd semest [Department of Mechanical and Precision System, Faculty of Science and Engineering] Basic Major Subjects Requisites　2credit 1A201

#### Course Description

Single variable calculus is described, which is composed of the following: derivative, increase and decrease of function, local maximum and local minimum of function, real-valued continuous functions, derivatives of fraction and composite functions, derivatives of some functions, mean value theorem, secondary derivatives, derivatives of inverse function, derivatives of parametric representation function, derivatives of local limit in indeterminate form, Taylor series, antiderivatives in some functions, definite integral, fundamental theorem of calculus, area, volume, curves length, and improper integral. In this course, you will acquire knowledge on Diploma Policy 3,4.

#### Course Objectives

Students can solve the fundamental matters of calculus by understanding special subjects such as thermodynamics, material dynamics, mechanical mechanics, fluid dynamics, etc.

Grades will be evaluated by intermediate assignment (60%), final assignment (40%).

#### Textbook and Reference

KindTitleAuthorPublisher
TextbookTextbook : Mathematical differential integral of engineering (2nd edition), Yoshihiro Tashiro, MoriKita Publishing, ISBN:978-4-627-04932-1.
References

#### Requirements(Assignments)

We will take attendance every time. Attendance of 2/3 or more is required to acquire the unit of lecture.

#### Schedule

1Differential of single variable : Derivative
2Differential of single variable : Increase / Decrease of function, Maximal / Minimal
3Differential of single variable : Function continuity
4Differential of single variable : Derivative of the quotient, Derivative of composite function
5Differential of single variable : Derivatives of various functions
6Differential of single variable : Mean value theorem, Second derivative
7Differential of single variable : Derivative of inverse function
8Differential of single variable : Derivatives of parametric functions, Limit value of indeterminate form
9Differential of single variable : Taylor’s expansion
10Integral of single variable : Indefinite integral
11Integral of single variable : Indefinite integral of various functions
12Integral of single variable : Definite integral
13Integral of single variable : Basic theorem of calculus
14Integral of single variable : Area, Volume, Curve length, Improper integral
15Test, summary