Applied Mathematics Ⅰ

Course Information

College Toyama College Year 2020
Course Title Applied Mathematics Ⅰ
Course Code 0119 Course Category Specialized / Elective
Class Format Lecture Credits School Credit: 1
Department Department of Electronics and Computer Engineering Student Grade 4th
Term First Semester Classes per Week 2
Textbook and/or Teaching Materials 基礎解析学 改定版
Instructor Matoba Ryuichi

Course Objectives

The primary objective of the course is to acquire the following skills:
- To be able to solve basic level problems which are related to set up differential equations from group of curves.
- To be able to solve basic level first-order differential equations.
- To be able to solve basic level linear differential equations.

Rubric

Ideal Level of AchievementStandard Level of AchievementUnacceptable Level of Achievement)
Evaluation 1To be able to solve advanced level problems which are related to set up differential equations from group of curves.To be able to solve basic level problems which are related to set up differential equations from group of curves.To be unable to solve problems which are related to set up differential equations from group of curves.
Evaluation 2To be able to solve advanced level first-order differential equations. To be able to solve basic level first-order differential equations.To be unable to solve first-order differential equations.
Evaluation 3To be able to solve advanced level linear differential equations.To be able to solve basic level linear differential equations.To be unable to solve linear differential equations.

Assigned Department Objectives

JABEE B1 See Hide
ディプロマポリシー 3 See Hide

Teaching Method

Outline:
Separable equations, exact differential equations, homogeneous differential equations, constant coefficient linear differential equations
Style:
Class style: Lectures and drills
Evaluation: Homework, quiz, midterm exam, and final exam
Notice:
Students whose final score is under 60 can take a makeup exam

Course Plan

Theme Goals
1st Semester
1st Quarter
1st Guidance and introduction of differential equation.
(lecture and drill)
Students can set up differential equations from group of curves.
2nd First-order differential equations 1
(lecture)
Students understand methods to solve separable equations and homogeneous differential equations.
3rd First-order differential equations 2
(drill)
Students can solve separable equations and homogeneous differential equations.
4th First-order differential equations 3
(lecture)
Students understand methods to solve exact differential equation and linear differential equation.
5th First-order differential equations 4
(drill)
Students can solve exact differential equation and linear differential equation.
6th First-order differential equations 5
(lecture and drill)
Students can apply differential equations to problems in mechanics, electric circuit, and so on.
7th Review of 1st week to 6th week
(drill)
Review topics of 1st week to 6th week.
8th Midterm exam Midterm exam
2nd Quarter
9th Linear differential equations 1
(lecture and drill)
Students understand methods to solve linear differential equations and can solve them.
10th Linear differential equations 2
(lecture and drill)
Students understand differential operator.
11th Linear differential equations 3
(lecture and drill)
Students understand methods to solve constant coefficient linear homogeneous differential equations and can solve them.
12th Linear differential equations 4
(lecture and drill)
Students understand integration operator.
13th Linear differential equations 5
(lecture and drill)
Students understand methods to solve constant coefficient linear differential equations and can solve them.
14th Review of 9th week to 13th week
(drill)
Review topics of 9th week to 13th week.
15th Final exam Final exam
16th Return the final exam Return the final exam

Evaluation Method and Weight (%)

ExaminationPresentationMutual Evaluations between studentsBehaviorPortfolioOtherTotal
Subtotal80000020100
Basic Ability5000002070
Technical Ability100000010
Interdisciplinary Ability200000020