Mathematics Ⅱ B

Course Information

College	Akashi College	Year	2022
Course Title	Mathematics Ⅱ B
Course Code	4204	Course Category	General / Compulsory
Class Format	Lecture	Credits	School Credit: 2
Department	Architecture	Student Grade	2nd
Term	Year-round	Classes per Week	2
Textbook and/or Teaching Materials	Linear Algebra
Instructor	TAKATA Isao,SHIGAKI Takahiro

Course Objectives

1. Can compute vectors and apply them to shapes.
2. Understand the definition of matrices, and can perform matrix computations and solve simultaneous linear equations.
3. Understand the definition and properties of determinants, and can calculate the values of basic ones.

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 and solve simultaneous linear equations.	Understand the definition of matrices, and can perform matrix computations and solve simultaneous linear equations.	Do not understand the definition, and cannot perform matrix computations and solve simultaneous linear equations.
Achievement 3	Fully understand the definition and properties of determinants, and can fully calculate the values of basic ones.	Understand the definition and properties of determinants, and can calculate the values of basic ones.	Do not understand the definition and properties of determinants, and cannot calculate the values of basic ones.

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:

In the first semester, students will be asked to prepare for the lesson using videos along the syllabus, and to have them study in groups during the lesson.
In the second semester, there will be lecture-style classes, tests at appropriate times, and report assignments.
Takata is in charge of the first half, and Shigaki (Omeda is the liaison) in the second half.

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

Active Learning	Aided by ICT	Applicable to Remote Class	Instructor Professionally Experienced

Course Plan

			Theme	Goals
1st Semester
	1st Quarter
		1st	vectors	Can perform basic vector operations.
		2nd	vectors	Can calculate the inner product of vectors.
		3rd	vectors	Can represent the components of vectors.
		4th	vectors	Can represent the components of the space vectors.
		5th	vectors	Can calculate the area of the parallelogram by using a matrix.
		6th	vectors	Can understand parallel and vertical conditions.
		7th	vectors	Can obtain the straight line vector equation.
		8th	vectors	Can understand and calculate the outer product.
	2nd Quarter
		9th	vectors	Can obtain the equation of a plane.
		10th	vectors	Can calculate the distance between a point and a plane.
		11th	vectors	Can obtain the equation of the sphere.
		12th	Matrices	Can calculate the sum, difference, and product of matrices.
		13th	Matrices	Can use the distributive and associative laws of matrices.
		14th	Matrices	Can understand and use zero and identity matrices.
		15th	Matrices	Can obtain the transposed matrix and the inverse matrix.
		16th	Final exam	To check what you have learned so far.
2nd Semester
	3rd Quarter
		1st	Simultaneous linear equations and matrices	Understand the elimination method.
		2nd	Simultaneous linear equations and matrices	Can solve simultaneous equations using the elimination method.
		3rd	Simultaneous linear equations and matrices	Can solve simultaneous equations using inverse matrices.
		4th	Simultaneous linear equations and matrices	Can compute the rank of a matrix.
		5th	Definition and properties of determinants	Understand the definition of determinants.
		6th	Definition and properties of determinants	Can compute determinants.
		7th	Overall	Can solve problems related to the content thus far.
		8th	Midterm exam
	4th Quarter
		9th	Definition and properties of determinants	Can compute determinants using their properties.
		10th	Definition and properties of determinants	Can compute the determinants of products of matrices.
		11th	Applications of determinants	Can expand determinants.
		12th	Applications of determinants	Can compute inverse matrices using determinants.
		13th	Applications of determinants	Can investigate the properties of simultaneous equations using determinants.
		14th	Applications of determinants	Understand the geometric meaning of determinants.
		15th	Overall	Can solve problems related to the content thus far.
		16th	Final exam

Evaluation Method and Weight (%)

	Examination(first half)	Review quiz(first half)	assignments(first half)	Attendance(first half)	Examination(second half)	Quizzes and tsks(second half)	Total
Subtotal	23	12	8	7	30	20	100
Basic Proficiency	23	12	8	7	30	20	100
Specialized Proficiency	0	0	0	0	0	0	0
Cross Area Proficiency	0	0	0	0	0	0	0