Calculus 2

KUROSAWA, Yoshio
  Elective Requisites  2 credits
【Mechanical and Precision System・1st semester】
19-1-0166-3314

1.
Outline
First, the calculation method of the calculus for function of one variable is reviewed. Next, students will learn partial differentiation, maximum and minimum of function, double integral, double integral by polar coordinates, and application. Finally, they will learn the calculation method of differential equation.
In this class, students will acquire knowledge and technology, and ability for diploma policy 2 and 3.
2.
Objectives
Calculus is a field of the mathematics used as the foundation when studying natural science and engineering. This course aims to master the basic knowledge for calculus of more than two variables, practical skills to solve problems in these studies are trained.
3.
Grading Policy
・Term-end examination : 75%
・Short examination : 20%
・Print and the problem to have let out while lecturing : 5%
Students will not be evaluated when they are not attending lectures more than 2/3. Small test will be returned after grading and will be explained during lecture. Answers will be upload to LMS.
4.
Textbook and Reference
・Yoshihiro Tashiro 『The mathematics of the engineering department Calculus』Morikita Publishing Co., Ltd. ISBN978-4-627-04932-1
5.
Requirements (Assignments)
Review the calculus beforehand.
Make preparation which takes the following course by solving the exercises - the exercises in the textbook and so on.

6.
Note
If you’re absent from lecture, please study and revise the topics taught on that day.
7.
Schedule
1. Differential calculus of one variable function (review)
2. Two variable function
3. Partial differential
4. Mean value theorem of two variable functions
5. Maximum and minimum of two variable function
6. Implicit function theorem
7. Non-routine multiplier method
8. Short examination, Integral of one variable function (review)
9. Commentary of the short examination and summary of the first half
10. Double integral (domain of integration)
11. Double integral (change the order of integral calculus)
12. Double integral by polar coordinates
13. Differential equation of first order (variable separation form)
14. Differential equation of second order for constant coefficients
15. Term-end examination and summary
1.
Outline
First, the calculation method of the calculus for function of one variable is reviewed. Next, students will learn partial differentiation, maximum and minimum of function, double integral, double integral by polar coordinates, and application. Finally, they will learn the calculation method of differential equation.
In this class, students will acquire knowledge and technology, and ability for diploma policy 2 and 3.
2.
Objectives
Calculus is a field of the mathematics used as the foundation when studying natural science and engineering. This course aims to master the basic knowledge for calculus of more than two variables, practical skills to solve problems in these studies are trained.
3.
Grading Policy
・Term-end examination : 75%
・Short examination : 20%
・Print and the problem to have let out while lecturing : 5%
Students will not be evaluated when they are not attending lectures more than 2/3. Small test will be returned after grading and will be explained during lecture. Answers will be upload to LMS.
4.
Textbook and Reference
・Yoshihiro Tashiro 『The mathematics of the engineering department Calculus』Morikita Publishing Co., Ltd. ISBN978-4-627-04932-1
5.
Requirements (Assignments)
Review the calculus beforehand.
Make preparation which takes the following course by solving the exercises - the exercises in the textbook and so on.

6.
Note
If you’re absent from lecture, please study and revise the topics taught on that day.
7.
Schedule
1. Differential calculus of one variable function (review)
2. Two variable function
3. Partial differential
4. Mean value theorem of two variable functions
5. Maximum and minimum of two variable function
6. Implicit function theorem
7. Non-routine multiplier method
8. Short examination, Integral of one variable function (review)
9. Commentary of the short examination and summary of the first half
10. Double integral (domain of integration)
11. Double integral (change the order of integral calculus)
12. Double integral by polar coordinates
13. Differential equation of first order (variable separation form)
14. Differential equation of second order for constant coefficients
15. Term-end examination and summary