Course Objectives
Can perform vector arithmetic in a plane and in a space.
Can calculate inner product of two vectors and the angle between two vectors. Can determine whether two vectors are parallel/vertical or not.
Can find equations of figures using vectors. (Can use vectors to solve a problem on a figure.)
Rubric
| Ideal Level | Standard Level | Unacceptable Level |
| Achievement 1 | Can perform vector arithmetic in a plane and in a space quickly and accurately. | Can perform vector arithmetic in a plane and in a space. | Can't perform vector arithmetic in a plane and in a space. |
| Achievement 2 | Can calculate inner product of two vectors and the angle between two vectors quickly and accurately. Can determine whether two vectors are parallel/vertical or not quickly and accurately. | Can calculate inner product of two vectors and the angle between two vectors. Can determine whether two vectors are parallel/vertical or not. | Can't calculate inner product of two vectors and the angle between two vectors. Can't determine whether two vectors are parallel/vertical or not. |
| Achievement 3 | Can find equations of figures using vectors quickly and accurately. Can use vectors to solve a problem on a figure. | Can find equations of figures using vectors. | Can't find equations of figures using vectors. Can't use vectors to solve a problem on a figure. |
Assigned Department Objectives
Diploma policy 3
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Teaching Method
Outline:
In this course, students will learn elementary linear algebra.
In the first semester, students will learn vectors in a plane and in a space. The goal is to represent various figures in a plane and in a space using vectors.
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 |
| 1st Semester |
| 1st Quarter |
| 1st |
Vectors in a plane |
Vectors in a plane, vector arithmetic
|
| 2nd |
Vectors in a plane |
Components and magnitude of vectors
|
| 3rd |
Vectors in a plane |
Inner product
|
| 4th |
Vectors in a plane |
parallel/vertical condition
|
| 5th |
Vectors in a plane |
Internal division formula, application of parallel/vertical condition
|
| 6th |
Vectors in a plane |
Vector equation of a line, normal vector
|
| 7th |
Vectors in a plane |
Linearly independent/dependent
|
| 8th |
Mid-term exam |
|
| 2nd Quarter |
| 9th |
Answer and comment on mid-term exam
Vectors in a space |
Spatial coordinate
|
| 10th |
Vectors in a space |
Components of vectors in a space
|
| 11th |
Vectors in a space |
Inner product of vectors in a space
|
| 12th |
Vectors in a space |
Vector equation of a line
|
| 13th |
Vectors in a space |
Vector equation of a plane
|
| 14th |
Vectors in a space |
Vector equation of sphere, linearly independency/dependency of vectors in a space
|
| 15th |
Final exam |
|
| 16th |
Answer and comment on final exam
Summary, 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 |