Mathematics ⅠA

Course Information

College	Toyama College	Year	2021
Course Title	Mathematics ⅠA
Course Code	0033	Course Category	General / Elective
Class Format	Lecture	Credits	School Credit: 1
Department	Department of International Business	Student Grade	1st
Term	First Semester	Classes per Week	2
Textbook and/or Teaching Materials
Instructor	Kawai Hitoshi,Sakurai Hideto,Ikeda Yasuto

Course Objectives

At the completion of this course, students will be able to
1) understand and carry out fundamental calculations on polynomials and rational expressions correctly.
2) understand and carry out fundamental calculations on polynomial factorizations correctly.
3) understand and carry out fundamental calculations on real numbers and complex numbers correctly.
4) understand and carry out fundamental calculations on quadratic equations correctly.

Rubric

	Ideal Level	Standard Level	Unacceptable Level
Achievement 1	Clearly understands, and is able to carry out fundamental calculations on arithmetic operations of polynomials and rational expressions.	Ability to understand and carry out fundamental calculations on arithmetic operations of polynomials and rational expressions.	Does not display understanding and is unable to carry out fundamental calculations on arithmetic operations of polynomials and rational expressions.
Achievement 2	Clearly understands, and is able to carry out fundamental calculations on polynomial factorizations using formulas.	Ability to understand and carry out fundamental calculations on quadratic equations.	Does not display understanding and is unable to carry out fundamental calculations on quadratic equations.
Achievement 3	Clearly understands, and is able to carry out fundamental calculations on the factor theorem and cubic equation (or equations of higher degree).	Ability to understand and carry out fundamental calculations on the factor theorem and cubic equation (or equations of higher degree).	Does not display understanding and is unable to carry out fundamental calculations on the factor theorem and cubic equation (or equations of higher degree).
Achievement 4	Clearly understands, and is able to carry out fundamental calculations on quadratic equations.	Ability to understand and carry out fundamental calculations on quadratic equations.	Does not display understanding and is unable to carry out fundamental calculations on quadratic equations.

Assigned Department Objectives

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 mathematics, specifically: polynomials, rational expressions, quadratic equations, real numbers and complex numbers. 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

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 polynomials	Learn the definition and the basic property of arithmetic operations of polynomials.
		3rd	Polynomial factorization -1-	Learn the way to find polynomial factorizations using formulas.
		4th	Polynomial factorization -2-	Learn the way to find polynomial factorizations using formulas.
		5th	Polynomial factorization -3-	Learn the way to find polynomial factorizations using formulas.
		6th	Quotient and Reminder of polynomial	Learn the definition and the basic property of the quotient and the remainder of polynomials.
		7th	Remainder Theorem -1-	Learn the Remainder Theorem and Factor Theorem.
		8th	Midterm exam	Midterm examination.
	2nd Quarter
		9th	Remainder Theorem -2-	Learn the way to find polynomial factorizations using the Factor Theorem.
		10th	Fractional equation	Learn the definition and the basic property of fractional equations.
		11th	Real number	Learn the definition and the basic property of real numbers.
		12th	Complex number -1-	Learn the definition and the basic property of complex numbers.
		13th	Complex number -2-	Learn the definition and the basic property of complex numbers.
		14th	Quadratic equation	Learn the way to solve quadratic equations and learn the quadratic formula.
		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