Course Objectives
(1) Understand the concepts of linear algebra and can solve various problems by acquiring calculation skills on matrices and vectors.
(2) Understand the concepts of calculus, can solve various questions by acquiring calculation skills.
(3) Acquire the ability to apply an abstract framework to specific issues.
(4) Learn how to write exams appropriately.
Students' level of achievement on each objective above will be examined through tests and the final exam.
Rubric
| Ideal Level | Standard Level | Unacceptable Level |
| Achievement 1 | Fully understand the various concepts of linear algebra, and can fully solve various questions by acquiring sufficient calculation skills on matrices and vectors. | Understand the various concepts of linear algebra, and can solve various questions by acquiring sufficient calculation skills on matrices and vectors. | Do not understand the various concepts of linear algebra, and cannot solve various questions by acquiring sufficient calculation skills on matrices and vectors. |
| Achievement 2 | Fully understand the concepts of calculus, can fully solve various questions by acquiring sufficient calculation skills. | Understand the concepts of calculus, and can solve various questions by acquiring calculation skills. | Do not understand the concepts of calculus, and cannot solve various questions as calculation skills is not acquired. |
| Achievement 3 | Fully have the ability to apply an abstract framework to specific issues. | Have the ability to apply an abstract framework to specific issues. | Do not have the ability to apply an abstract framework to specific issues. |
Assigned Department Objectives
Teaching Method
Outline:
This course will review and do exercises on the mathematics learned at KOSEN. The goal of this course is to develop mathematical abilities by solving numerous of questions and to develop more advanced mathematics skills. In addition, it should be a revision for students who is preparing for the university entrance exam.
Style:
Classes will mainly involve lectures and practices.
Notice:
Students should identify themselves the areas of the subject they are going to need, research them, and advance their learning on their own outside of the class. Be aware that passive attitude towards the class will not be beneficial as preparation for a transfer examination.
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 |
Linear algebra 1
|
Can compute using elementary transformation.
|
| 2nd |
Linear algebra 2 |
Can compute eigenvalues and eigenvectors.
|
| 3rd |
Linear algebra 3 |
Understand and can determine primary independence.
|
| 4th |
Linear algebra 4 |
Understand and can compute basis.
|
| 5th |
Linear algebra 5 |
Can compute matrix representation.
|
| 6th |
Linear algebra 6
|
Understand the concepts of linear algebra and can compute linear algebra.
|
| 7th |
Various questions |
Learn how to write exams appropriately.
|
| 8th |
Midterm exam |
Learn how to write exams appropriately.
|
| 4th Quarter |
| 9th |
One-variable calculus |
Understand the integration of one-variable functions.
|
| 10th |
Calculus of multivariable functions 1 |
Understand the differential of multivariable functions.
|
| 11th |
Calculus of multivariable functions 2 |
Understand the integration of multivariable functions.
|
| 12th |
Calculus of multivariable functions 3 |
Can solve questions with the calculus of multivariable functions.
|
| 13th |
Calculus of multivariable functions 4 |
Can solve questions with the calculus of multivariable functions.
|
| 14th |
Differential equations |
Can solve simple first order linear differential equations. Can solve second order homogeneous linear differential equations with constant coefficients.
|
| 15th |
Various questions |
Learn how to write exams appropriately.
|
| 16th |
Final exam
|
|
Evaluation Method and Weight (%)
| Examination | Total |
| Subtotal | 100 | 100 |
| Basic Proficiency | 100 | 100 |
| Specialized Proficiency | 0 | 0 |
| Cross Area Proficiency | 0 | 0 |