Mathematics Ⅱ B-1

Course Information

College Akashi College Year 2024
Course Title Mathematics Ⅱ B-1
Course Code 6207 Course Category General / Compulsory
Class Format Lecture Credits School Credit: 1
Department Mechanical Engineering Student Grade 2nd
Term First Semester Classes per Week 2
Textbook and/or Teaching Materials Linear Algebra (Dai Nihon Tosho)
Instructor TAKATA Isao

Course Objectives

1. Can compute vectors and apply them to shapes.
2. Understand the definition of matrices, and can perform matrix computations.

Rubric

Ideal LevelStandard LevelUnacceptable Level
Achievement 1Can 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 2Fully 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:
Review your work before class. Do not leave anything you do not understand unanswered, but ask questions.
Study independently by using problem collections.
CBT test will be given in one of the weeks.
Students who miss 1/3 or more of classes will not be eligible for evaluation.

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 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 Space Vectors Can find the equation of a plane in space.
2nd Quarter
9th Space Vectors Can find and use the outer product of vectors.
10th Space Vectors Can find the distance between a point and a plane.
11th Space Vectors Can find the equation of a spherical surface.
12th Matrices Can calculate the sum, difference, and product of matrices.
13th Matrices Can calculate the sum, Can use the distribution and combination laws of matrices.
14th CBT test The CBT test will be used to check for retention.
15th Summary Review of the total.
16th Exam Confirmation of the studies.

Evaluation Method and Weight (%)

ExaminationCBT TestReview Test AssignmentsAttendance pointsTotal
Subtotal2520251515100
Basic Proficiency2520251515100
Specialized Proficiency000000
Cross Area Proficiency000000