Course Objectives
(1) Understand the definition and basic properties of linear transformation by matrix and learn its computational techniques.
(2) Understand the definition of matrix eigenvalues and eigenvectors, and learn computational techniques for diagonal matrices.
Rubric
| Ideal Level | Standard Level | Unacceptable Level |
| Achievement 1 | Learn and can use basic computing techniques for matrices. | Understand the basic computing techniques for matrices. | Do not understand the basic computing techniques for matrices. |
| Achievement 2 | Learn and can use some advanced computational techniques for matrices and vectors. | Understand some advanced computational techniques for matrices and vectors. | Do not understand the more advanced computing techniques for column vectors. |
Assigned Department Objectives
Teaching Method
Outline:
Students will learn the application of matrices as the basis of linear algebra.
Style:
Classes will be conducted through lectures and exercises, scheduled assignments and quizzes, etc.
Notice:
The following items are essential for taking this course. New Linear Algebra I (textbook above) Ch. 2: Matrices, Ch. 3: Matrices
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 |
Linear transformation
|
Understand the definition of a linear transformation.
|
| 2nd |
Linear transformation
|
Understand and can apply the nature of linear transformations.
|
| 3rd |
Linear transformation
|
Understand and can calculate synthesis transformations.
|
| 4th |
Linear transformation |
Understand and can calculate reverse conversion.
|
| 5th |
Linear transformation
|
Understand and can calculate the linear transformation representing the rotation.
|
| 6th |
Linear transformation
|
Understand and can calculate the nature of orthogonal transformations.
|
| 7th |
Summary |
Review / development
|
| 8th |
Exercise |
Exercise
|
| 2nd Quarter |
| 9th |
Eigenvalues and their applications
|
Understand the definitions of eigenvalues and eigenvectors.
|
| 10th |
Eigenvalues and their applications
|
Can calculate eigenvalues and eigenvectors.
|
| 11th |
Eigenvalues and their applications
|
Understand diagonal matrices.
|
| 12th |
Eigenvalues and their applications
|
Can calculate for diagonal matrices.
|
| 13th |
Eigenvalues and their applications
|
Understand and can calculate the probability of diagonals.
|
| 14th |
Eigenvalues and their applications
|
Understand and can calculate the diagonals of a symmetric matrix by an orthogonal matrix.
|
| 15th |
Exercise |
Exercise
|
| 16th |
Exam
|
|
Evaluation Method and Weight (%)
| Exam | Task・ Attitude・Presentation・Attendance etc | Total |
| Subtotal | 30 | 70 | 100 |
| Basic Proficiency | 30 | 70 | 100 |
| Specialized Proficiency | 0 | 0 | 0 |
| Cross Area Proficiency | 0 | 0 | 0 |