Advanced Applied Mathematics

Course Information

College	Toyama College	Year	2022
Course Title	Advanced Applied Mathematics
Course Code	0029	Course Category	Specialized / Elective
Class Format	Lecture	Credits	Academic Credit: 2
Department	International Business Course	Student Grade	Adv. 1st
Term	First Semester	Classes per Week	2
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 gamma function and beta function correctly.
2) understand and carry out fundamental calculations on Bessel function correctly.
3) understand and carry out fundamental calculations on Legendre function 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 gamma function and beta function.	Ability to understand and carry out fundamental calculations on gamma function and beta function.	Does not display understanding and is unable to carry out fundamental calculations on gamma function and beta function.
Evaluation 2	Clearly understands, and is able to carry out fundamental calculations on Bessel function.	Ability to understand and carry out fundamental calculations on Bessel function.	Does not display understanding and is unable to carry out fundamental calculations on Bessel function.
Evaluation 3	Clearly understands, and is able to carry out fundamental calculations on Legendre function.	Ability to understand and carry out fundamental calculations on Legendre function.	Does not display understanding and is unable to carry out fundamental calculations on Legendre function.

Assigned Department Objectives

ディプロマポリシー B-1 See

Teaching Method

Outline:

In this course, students will learn about the special functions, specifically: gamma function, beta function, Bessel function, and Legendre function. And, students will make basics calculations of special functions and basic applications to engineering and physics.

Style:

lectures and exercises

Notice:

This course uses mathematics learned in previous years.
The recognition of credit requires 60 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
1st Semester
	1st Quarter
		1st	Guidance	Guidance: Discuss the goals and structure of this course.
		2nd	Basic Calculus -1-	Review the basic of differential and integral calculus.
		3rd	Basic Calculus -2-	Review the basic of differential and integral calculus.
		4th	Therory of function	Review the basic of the theory of a complex function.
		5th	Series expansion	Review the basic of series expansion.
		6th	Gamma function -1-	Learn the definition of the gamma function.
		7th	Gamma function -2-	Learn the basic property of the gamma function.
		8th	Beta function	Learn the definition and basic property of the beta function.
	2nd Quarter
		9th	Orthogonal functions	Learn the definition of the orthogonal function.
		10th	Bessel function	Learn the definition and basic property of Bessel function.
		11th	Legendre function -1-	Learn the definition of Legendre function.
		12th	Legendre function -2-	Learn the basic property of Legendre function.
		13th	Differential equations -1-	Learn the basic applications to differential equations.
		14th	Differential equations -2-	Learn the basic applications to differential equations.
		15th	Final examination	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