Course Objectives
1. Can calculate matrices and solve linear systems of equations.
2. Can understand the definition and properties of determinants and find the value of basic determinants.
Rubric
| Ideal Level | Standard Level | Unacceptable Level |
| Achievement 1 | Can compute matrices and solve simultaneous linear equations satisfactorily. | Can compute matrices and solve simultaneous linear equations. | Cannot compute matrices and cannot solve simultaneous linear equations. |
| Achievement 2 | Can understand the definition and properties of determinants, and obtain the values for basic determinants satisfactorily. | Can understand the definition and properties of determinants and find the values of basic determinants. | Cannot understand the definition and properties of determinants and cannot find the values of basic determinants. |
Assigned Department Objectives
Teaching Method
Outline:
This course provides lectures and exercises on the fundamentals of linear algebra, which is used in a wide range of fields. The goal is to be able to relate computation to geometry using equations of figures in the plane and in space.
Style:
There will be lecture-style classes, tests at appropriate times, and report assignments.
Notice:
Try to understand the material thoroughly during the classes. Make an effort to always ask about things that
are unclear, and solve them then and there. Also, always review the material on the same day, and do the
problem exercises properly.
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 |
Matrix |
Can understand and use zero and unit matrices.
|
| 2nd |
Matrix |
Can find and use transpose and inverse matrices.
|
| 3rd |
Definition and properties of determinant |
Can compute second-order determinants and use Cramer's formula.
|
| 4th |
Definition and properties of determinant |
Can understand the definition of determinant and compute simple determinants.
|
| 5th |
Definition and properties of determinant |
Can understand the properties of determinants and use them in calculations.
|
| 6th |
Application of determinant |
Can expand determinants.
|
| 7th |
Application of determinant |
Can perform a variety of determinant calculations.
|
| 8th |
Summary |
Review of the total.
|
| 4th Quarter |
| 9th |
Application of determinant |
Can use the cosine factor to find the inverse matrix.
|
| 10th |
Application of determinant |
Can factorize using determinants.
|
| 11th |
Linear equations and matrices |
Can understand and use matrix elimination methods.
|
| 12th |
Linear equations and matrices |
Can solve simultaneous linear equations using the elimination method.
|
| 13th |
Linear equations and matrices |
Can find the inverse matrix using the elimination method.
|
| 14th |
Linear equations and matrices |
Can determine the rank of a matrix.
|
| 15th |
Summary |
Review of the total.
|
| 16th |
Exam |
Confirmation of the studies.
|
Evaluation Method and Weight (%)
| Examination | Little test・Task | Total |
| Subtotal | 60 | 40 | 100 |
| Basic Proficiency | 60 | 40 | 100 |
| Specialized Proficiency | 0 | 0 | 0 |
| Cross Area Proficiency | 0 | 0 | 0 |