Linear Algebra Ⅰ

Course Information

College	Toyama College	Year	2022
Course Title	Linear Algebra Ⅰ
Course Code	0046	Course Category	General / Elective
Class Format	Lecture	Credits	School Credit: 1
Department	Department of Electronics and Computer Engineering	Student Grade	2nd
Term	First Semester	Classes per Week	2
Textbook and/or Teaching Materials
Instructor	Sakurai Hideto,Nagata Osamu

Course Objectives

At the completion of this course, students will be able to understand and carry out fundamental calculations on vectors in a real coordinate space of dimension two and three correctly.

Rubric

	Ideal Level	Standard Level	Unacceptable Level
Achievement 1	Clearly understands, and is able to carry out fundamental calculations on arithmetic operations of vectors.	Ability to understand and carry out fundamental calculations on arithmetic operations of vectors.	Does not display understanding and is unable to carry out fundamental calculations on arithmetic operations of vectors.
Achievement 2	Clearly understands, and is able to carry out fundamental calculations on vector components of vectors.	Ability to understand and carry out fundamental calculations on vector components of vectors.	Does not display understanding and is unable to carry out fundamental calculations on vector components of vectors.
Achievement 3	Clearly understands, and is able to carry out fundamental calculations on vector equations.	Ability to understand and carry out fundamental calculations on vector equations.	Does not display understanding and is unable to carry out fundamental calculations on vector equations.

Assigned Department Objectives

MCCコア科目   （MCCコア科目）

ディプロマポリシー 3 （豊かな教養と倫理観を身につけ，社会に貢献できる。）

Teaching Method

Outline:

In this course, students will learn about basic linear algebra, specifically: vectors in a real coordinate space of dimension two and three. And, students will make basics calculations of them.

Style:

Lectures and exercises

Notice:

The recognition of credit requires 50 points or more rating.

Characteristics of Class / Division in Learning

Aided by ICT

Applicable to Remote Class

Course Plan

			Theme	Goals
1st Semester
	1st Quarter
		1st	Guidance	Guidance: Discuss the goals and structure of this course.
		2nd	Arithmetic operations of vectors	Learn the definition and the basic property of arithmetic operations of vectors.
		3rd	Vector Components	Learn the definition and the basic property of vector components of vectors.
		4th	Linear Independence	Learn the definition and the basic property of the Linear Independence of vectors.
		5th	Inner Product -1-	Learn the definition and the basic property of inner products of two vectors.
		6th	Inner Product -2-	Learn some applications of the inner products.
		7th	Position vector	Learn the definition and the basic property of the position vectors.
		8th	Midterm exam	Midterm examination.
	2nd Quarter
		9th	Vector Equation -1-	Learn the definition and the basic property of vector equations in two dimensional space (in the plane).
		10th	Vector Equation -2-	Learn the vector equations in two dimensional space (in the plane).
		11th	Vector in three dimensional space	Learn the definition and the basic property of vectors in three dimensional space (in the space).
		12th	Vector Equation in three dimensional space -1-	Learn the definition and the basic property of vector equations in three dimensional space (in the space).
		13th	Vector Equation in three dimensional space -2-	Learn the vector equations in three dimensional space (in the space).
		14th	Vector Equation in three dimensional space -3-	Learn the vector equations in three dimensional space (in the space).
		15th	Final exam	Final examination.
		16th	Summary	Summarize the study content and confirm grades.

Evaluation Method and Weight (%)

	Examination	Presentation	Mutual Evaluations between students	Behavior	Portfolio	Other	Total
Subtotal	70	0	0	0	0	30	100
Basic Proficiency	70	0	0	0	0	30	100
Specialized Proficiency	0	0	0	0	0	0	0
Cross Area Proficiency	0	0	0	0	0	0	0