Mathematics ⅠB

Course Information

College Toyama College Year 2021
Course Title Mathematics ⅠB
Course Code 0035 Course Category General / Elective
Class Format Lecture Credits School Credit: 1
Department Department of International Business Student Grade 1st
Term Second 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 quadratic functions correctly.
2) understand and carry out fundamental calculations on quadratic inequalities correctly.
3) understand and carry out fundamental calculations on cubic equations (or equations of higher degree) using the factor theorem correctly.
4) understand and carry out fundamental calculations on simultaneous equations correctly.

Rubric

Ideal LevelStandard LevelUnacceptable Level
Achievement 1Clearly understands, and is able to carry out fundamental calculations on quadratic functions.Ability to understand and carry out fundamental calculations on quadratic functions.Does not display understanding and is unable to carry out fundamental calculations on quadratic functions.
Achievement 2Clearly understands, and is able to carry out fundamental calculations on the maximum and minimum value of quadratic functions.Ability to understand and carry out fundamental calculations on the maximum and minimum value of quadratic functions.Does not display understanding and is unable to carry out fundamental calculations on the maximum and minimum value of quadratic functions.
Achievement 3Clearly understands, and is able to carry out fundamental calculations on quadratic inequalities.Ability to understand and carry out fundamental calculations on quadratic inequalities.Does not display understanding and is unable to carry out fundamental calculations on quadratic inequalities.
Achievement 4Clearly 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).

Assigned Department Objectives

Teaching Method

Outline:
In this course, students will learn about basic mathematics, specifically: quadratic functions, quadratic inequalities, cubic equations (equations of higher degree), and simultaneous (linear) equations. 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

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

Course Plan

Theme Goals
2nd Semester
3rd Quarter
1st Guidance Guidance: Discuss the goals and structure of this course.
2nd Root and Coefficient Learn the relation between roots and coefficients of quadratic equations.
3rd Cubic equation (equations of higher degree) Learn the way to solve cubic equations (or equations of higher degree) using the factor theorem.
4th Simultaneous linear inequality Learn the way to solve simultaneous linear inequalities.
5th Function and Graph Learn the definition and the basic property of functions and their graphs.
6th Quadratic function -1- Learn the definition and the basic property of quadratic functions and their graphs.
7th Quadratic function -2- Learn the definition and the basic property of quadratic functions and their graphs.
8th Midterm exam Midterm examination.
4th Quarter
9th Quadratic function -3- Learn the definition and the basic property of quadratic functions and their graphs.
10th Quadratic function -4- Learn the definition and the basic property of quadratic functions and their graphs.
11th Maximum and Minimum value Learn the way to find the maximum and minimum value of quadratic functions.
12th Quadratic equation Learn the way to solve quadratic equations and learn the quadratic formula.
13th Quadratic inequality -1- Learn the way to solve quadratic inequalities.
14th Quadratic inequality -2- Learn the way to solve quadratic inequalities.
15th Final exam Final examination.
16th Summary Summarize the study content and confirm grades.

Evaluation Method and Weight (%)

ExaminationPresentationMutual Evaluations between studentsBehaviorPortfolioOtherTotal
Subtotal70000030100
Basic Proficiency70000030100
Specialized Proficiency0000000
Cross Area Proficiency0000000