Mathematical Analysis Ⅰ

Course Information

College	Toyama College	Year	2020
Course Title	Mathematical Analysis Ⅰ
Course Code	0065	Course Category	General / Elective
Class Format	Lecture	Credits	School Credit: 2
Department	Department of Electronics and Computer Engineering	Student Grade	3rd
Term	First Semester	Classes per Week	4
Textbook and/or Teaching Materials
Instructor	Sakurai Hideto

Course Objectives

At the completion of this course, students will be able to
1) understand and carry out fundamental calculations on parametric equations correctly.
2) understand and carry out fundamental calculations on Maclaurin series correctly.
3) understand and carry out fundamental calculations on partial derivatives correctly.

Rubric

	Ideal Level of Achievement (Very Good)	Standard Level of Achievement (Good)	Unacceptable Level of Achievement (Fail)
Evaluation 1	Clearly understands, and is able to carry out fundamental calculations on parametric equations.	Ability to understand and carry out fundamental calculations on parametric equations.	Does not display understanding and is unable to carry out fundamental calculations on parametric equations.
Evaluation 2	Clearly understands, and is able to carry out fundamental calculations on Maclaurin series.	Ability to understand and carry out fundamental calculations on Maclaurin series.	Does not display understanding and is unable to carry out fundamental calculations on Maclaurin series.
Evaluation 3	Clearly understands, and is able to carry out fundamental calculations on partial derivatives.	Ability to understand and carry out fundamental calculations on partial derivatives.	Does not display understanding and is unable to carry out fundamental calculations on partial derivatives.

Assigned Department Objectives

MCCコア科目 See

ディプロマポリシー 3 See

Teaching Method

Outline:

In this course, students will learn about the basic analysis, specifically: parametric equations, Maclaurin series, and partial derivatives. And, students will make basics calculations of them.

Style:

Lectures and exercises

Notice:

This course uses mathematics learned in previous years.
The recognition of credit requires 60 points or more rating.

Course Plan

			Theme	Goals
1st Semester
	1st Quarter
		1st	Guidance	Guidance: Discuss the goals and structure of this course.
		2nd	Parametric equation -1-	Learn the definition of the parametric equation.
		3rd	Parametric equation -2-	Learn the basic property of the parametric equation. Learn the tangent line of parametric curves.
		4th	Parametric equation -3-	Learn the basic property of the parametric equation. Learn the length of parametric curves.
		5th	Improper integral	Learn the definition of the improper integral.
		6th	Higher order derivatives	Learn the definition of the higher order derivatives.
		7th	Power series and radius of convergence	Learn the definition and basic property of the power series and radius of convergence.
		8th	Midterm exam	Midterm examination.
	2nd Quarter
		9th	Series expansion	Learn the definition and basic property of the series expansion.
		10th	Maclaurin series -1-	Learn the definition of the Maclaurin series.
		11th	Maclaurin series -2-	Learn the basic property of the Maclaurin series.
		12th	Maclaurin series -3-	Learn the polynomial approximation of functions.
		13th	Function of two variables and partial derivatives	Learn the definition and basic property of the function of two variables and partial derivatives.
		14th	Tangent plane	Learn the definition and basic property of the tangent plane.
		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	30	0	100
Basic Ability	70	0	0	0	30	0	100
Technical Ability	0	0	0	0	0	0	0
Interdisciplinary Ability	0	0	0	0	0	0	0