Course Objectives
(1) Can make a deductive inference based on basic matters, including reading and writing logical sentences containing mathematical formulae.
(2) Can perform basic calculations in vector calculus and their elementary applications.
(3) Can perform basic calculations in complex analysis and their elementary applications.
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 their elementary applications. | Can perform basic calculations in vector calculus and their elementary applications. | Cannot perform basic calculations in vector calculus and their elementary applications. |
| Achievement 3 | Can fully perform basic calculations in complex analysis and their elementary applications. | Can perform basic calculations in complex analysis and their elementary applications. | Cannot perform basic calculations in complex analysis and their elementary applications. |
Assigned Department Objectives
Teaching Method
Outline:
In this course, we will learn the basics of vector calculus and complex analysis based on the calculus and linear algebra learned so far.
Style:
Classes will be taught in a lecture style, and there will also be exercises and quizzes.
Notice:
Instead of memorizing theorems and formulae individually, carefully follow the development of discussions and the proof of theorems given in each lecture, so that you can understand it yourself. 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 evaluation.
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 |
Can handle curves using the arc length parameter.
|
| 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 |
Surfaces |
Can handle surfaces using parameters.
|
| 7th |
Green's theorem |
Can perform calculations and discussions related to Green's theorem.
|
| 8th |
Summary
Midterm exam |
|
| 4th Quarter |
| 9th |
Review and supplementary lesson on complex numbers |
Can handle the basic matters of complex numbers that's necessary for future learning.
|
| 10th |
Complex function and its differentiation |
Can calculate and discuss based on the basic matters of holomorphic function.
|
| 11th |
Elementary functions |
Can handle elementary functions.
|
| 12th |
Complex integrals |
Can calculate and discuss based on the basic matters of complex integrals.
|
| 13th |
Cauchy's integral theorem and Cauchy's integral formulas |
Can perform calculations and discussions related to Cauchy's integral theorem and Cauchy's integral formulas.
|
| 14th |
Power series expansion |
Can perform calculations and discussions related to power series expansion.
|
| 15th |
Residue theorem |
Can perform calculations and discussions related to residue theorem.
|
| 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 |