Course Objectives
1. Can compute vectors and apply them to shapes.
2. Understand the definition of matrices, and can perform matrix computations.
Rubric
| Ideal Level | Standard Level | Unacceptable Level |
| Achievement 1 | Can fully compute vectors and apply them to shapes. | Can compute vectors and apply them to shapes. | Cannot compute vectors and apply them to shapes. |
| Achievement 2 | Fully understand the definition of matrices, and can fully perform matrix computations. | Understand the definition of matrices, and can perform matrix computations. | Do not understand the definition, and cannot perform matrix computations. |
Assigned Department Objectives
Teaching Method
Outline:
Classes and exercises will be given on the basics of linear algebra, which is used in a wide range of fields. The goal is to become able to relate computation to geometry by using equations for shapes in a plane or 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 |
| 1st Semester |
| 1st Quarter |
| 1st |
Planar Vectors |
Can perform calculations using the basic laws of vector arithmetic.
|
| 2nd |
Planar Vectors |
Can compute the inner product of vectors.
|
| 3rd |
Planar Vectors |
Can perform the computations using the component representation of plane vectors.
|
| 4th |
Space Vectors |
Can perform the computations using the component representation of space vectors.
|
| 5th |
Space Vectors |
Can calculate the area of a parallelogram as a vector.
|
| 6th |
Space Vectors |
Can understand parallel and perpendicular conditions and use them in calculations.
|
| 7th |
Space Vectors |
Can find the equation of a line in space.
|
| 8th |
Summary |
Review of the total.
|
| 2nd Quarter |
| 9th |
Space Vectors |
Can find the equation of a plane in space.
|
| 10th |
Space Vectors |
Can find and use the outer product of vectors.
|
| 11th |
Space Vectors |
Can find the distance between a point and a plane.
|
| 12th |
Space Vectors |
Can find the equation of a spherical surface.
|
| 13th |
Matrices |
Can calculate the sum, difference, and product of matrices.
|
| 14th |
Summary |
Review of the total.
|
| 15th |
Matrices |
Can use the distribution and combination laws of matrices.
|
| 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 |