Course Objectives
(1) Can make a deductive inference based on basic matters, including reading and writing logical sentences including equations.
(2) Can perform basic calculations in vector calculus, and apply them to engineering and physics on a basic level.
Rubric
| Ideal Level | Standard Level | Unacceptable Level |
Achievement 1 | Can accurately make a deductive inference based on basic matters. | Can make a deductive inference based on basic matters. | Cannot make a deductive inference based on basic matters. |
Achievement 2 | Can fully perform basic calculations in vector calculus, and fully apply them to engineering and physics on a basic level. | Can perform basic calculations in vector calculus, and apply them to engineering and physics on a basic level. | Cannot perform basic calculations in vector calculus, and apply them to engineering and physics on a basic level. |
Assigned Department Objectives
学習・教育到達度目標 (D)
See
Hide
学習・教育到達度目標 (H)
See
Hide
Teaching Method
Outline:
In this course, we will learn the basics of vector calculus (including topics on complex functions of one variable) based on the calculus and linear algebra learned so far. This is also applied to engineering and physics, so this class will also cover them, including basic applications.
Style:
Classes will be taught in a lecture style, and there will also be exercises and quizzes.
Notice:
Do pre-study and review (including problem exercises). In problem exercises, do not try to remember the steps to solve a problem, but rather try to solve it yourself based on definitions and basic theorem and ideas. Also, if necessary, review the content learned during the previous years.
Students can earn extra points by submitting voluntary assignments, and lose their points depending on their attitude, etc. in the class.
Students who miss 1/3 or more of classes will not be eligible for a passing grade.
Characteristics of Class / Division in Learning
Course Plan
|
|
|
Theme |
Goals |
2nd Semester |
3rd Quarter |
1st |
Review and supplementary lesson on vector calculations |
Can handle the basic matters of vector calculations that's necessary for future learning.
|
2nd |
Curves
|
Can handle curves using parameters.
|
3rd |
Curves Line integrals |
Can handle curves using parameters. Can calculate and discuss based on the basic matters of line integrals.
|
4th |
Line integrals |
Can calculate and discuss based on the basic matters of line integrals.
|
5th |
Gradient |
Can calculate and discuss based on the basic matters of the gradient vector.
|
6th |
Gradient Conservative forces and potential energy |
Can calculate and discuss based on the basic matters of the gradient vector. Can handle conservative forces and potential energy based on the vector calculus method.
|
7th |
Surfaces and surface integrals |
Can handle surfaces using parameters and calculate and discuss based on the basic matters of surface integrals.
|
8th |
Midterm exam
|
|
4th Quarter |
9th |
Surfaces and surface integrals |
Can handle surfaces using parameters and calculate and discuss based on the basic matters of surface integrals.
|
10th |
Derivative of vector fields and integral theorem |
Can handle derivative of vector fields, including the method using integral theorem.
|
11th |
Derivative of vector fields and integral theorem |
Can handle derivative of vector fields, including the method using integral theorem.
|
12th |
Derivative of vector fields and integral theorem Application to electromagnetism |
Can handle derivative of vector fields, including the method using integral theorem. Can handle the basic matters of electromagnetism based on the vector calculus method.
|
13th |
Application to electromagnetism Overview of the theory of functions of a complex variable |
Can handle the basic matters of electromagnetism based on the vector calculus method. Can calculate and discuss based on the basic matters of the theory of functions of a complex variable.
|
14th |
Overview of the theory of functions of a complex variable |
Can calculate and discuss based on the basic matters of the theory of functions of a complex variable.
|
15th |
Overview of the theory of functions of a complex variable |
Can calculate and discuss based on the basic matters of the theory of functions of a complex variable.
|
16th |
Final exam
|
|
Evaluation Method and Weight (%)
| Examination | Exercises / Short test | Total |
Subtotal | 60 | 40 | 100 |
Basic Proficiency | 60 | 40 | 100 |
Specialized Proficiency | 0 | 0 | 0 |
Cross Area Proficiency | 0 | 0 | 0 |