Course Objectives
Can perform matrix operation. Can calculate inverse matrix.
Can solve simultaneous linear equations using matrices.
Understand definition and properties of determinant. Can calculate determinants.
Rubric
| Ideal Level | Standard Level | Unacceptable Level |
| Achievement 1 | Can perform matrix operation quickly and accurately. Can calculate inverse matrix quickly and accurately. | Can perform matrix operation. Can calculate inverse matrix. | Can't perform matrix operation. |
| Achievement 2 | Can solve simultaneous linear equations using matrices quickly and accurately. | Can solve simultaneous linear equations using matrices. | Can't solve simultaneous linear equations using matrices. |
| Achievement 3 | Understand definition and properties of determinant of 4x4 or higher. Can calculate determinants quickly and accurately. | Understand definition and properties of determinant. Can calculate determinants. | Don't understand definition and properties of determinant. Can't calculate determinants. |
Assigned Department Objectives
Diploma policy 3
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Teaching Method
Outline:
In this course, students will learn elementary linear algebra.
In the second semester, students will learn matrix and determinant. The goal is to solve simultaneous linear equations using matrix and determinant, and to calculate inverse matrix.
Style:
We recommend that students prepare for each lectures.
If there is anything you do not understand in the lectures, please review it immediately and try to understand it. Active questions are always recommended.
It is not enough to understand basic contents once. Please train repeatedly.
The lectures plan may be changed according to the student's level of understanding.
Notice:
Mid-term exam and final exam will be carried out. Mini-exams may be carried out.
Evaluations will be made comprehensively by written exams (making up about 95% of the grade), by exercises and homework (making up about 5% of the grade).
Can take makeup exam in need aid up to maximum of 50 points.
Characteristics of Class / Division in Learning
Course Plan
|
|
|
Theme |
Goals |
| 2nd Semester |
| 3rd Quarter |
| 1st |
Matrix |
Definition of matrix, addition, subtraction, scalar multiplication of matrices
|
| 2nd |
Matrix |
Product of matrices
|
| 3rd |
Matrix |
Transposed matrix
|
| 4th |
Matrix |
Inverse matrix
|
| 5th |
Simultaneous linear equation and matrix |
Gaussian elimination (row reduction)
|
| 6th |
Simultaneous linear equation and matrix |
Inverse matrix and simultaneous linear equation
|
| 7th |
Simultaneous linear equation and matrix
Definition and property of determinant |
Rank of matrix, definition of determinant
|
| 8th |
Mid-term exam |
|
| 4th Quarter |
| 9th |
Answer and comment on mid-term exam
Definition and property of determinant |
Definition and property of determinant
|
| 10th |
Definition and property of determinant |
Properties of determinant, determinant of a product of matrices
|
| 11th |
Application of determinant |
Expansion of determinant
|
| 12th |
Application of determinant |
Determinant and inverse matrix
|
| 13th |
Application of determinant |
Simultaneous linear equation and determinant
|
| 14th |
Application of determinant |
Geometric meaning of determinants
|
| 15th |
Final exam |
|
| 16th |
Answer and comment on final exam
Summary and advise |
|
Evaluation Method and Weight (%)
| Examination | Presentation | Mutual Evaluations between students | Behavior | Portfolio | Other | Total |
| Subtotal | 95 | 0 | 0 | 0 | 0 | 5 | 100 |
| Basic Proficiency | 95 | 0 | 0 | 0 | 0 | 5 | 100 |
| Specialized Proficiency | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| Cross Area Proficiency | 0 | 0 | 0 | 0 | 0 | 0 | 0 |