Minor

Course Information

College	Anan College	Year	2024
Course Title	Minor
Course Code	1554200	Course Category	Specialized / Elective
Class Format	Lecture	Credits	Academic Credit: 2
Department	Course of Chemical Engineering	Student Grade	4th
Term	First Semester	Classes per Week	前期:2
Textbook and/or Teaching Materials	Kagakunotamenosuugaku（Syokabo）By Takashi Fujikawa, Kiyotaka Asakura
Instructor	Ueda Kohei

Course Objectives

1. Understand vector analysis, which is essential for learning chemistry and electromagnetism.
2. Understand the properties and calculational methods of complex numbers.

Rubric

	Ideal Level	Standard Level	Minimum Level
Achievement 1	Solve practical problems using vector analysis.	Calculate the derivative and integral operations on vectors.	Calculate the basic algebraic operations on vectors.
Achievement 2	Understand the properties and calculations of complex numbers and apply them to chemistry.	Understand the properties and calculational methods of complex numbers.	Understand the properties of complex numbers.

Teaching Method

Outline:

An atom is a particle consisting of a positively charged nucleus surrounded by a cloud of negatively charged electrons. Therefore, in order to understand the behavior of atoms, molecules, and larger systems, it is necessary to understand the electromagnetic interactions between nuclei and electrons. This course deals with chemical mathematics as a preparation for the study of electromagnetism, without being concerned with mathematical rigor.

Style:

Assignments will be given for each lecture. The assignments will help you review and prepare for the lecture.
Short exercises will be given during the class.

Notice:

If you have any questions, please ask them in class.
No questions will be accepted during the exam period.

Course Plan

			Theme	Goals
1st Semester
	1st Quarter
		1st	Vector, direction cosine, inner product, cross product	Calculate inner and cross products
		2nd	Derivatives of vector	Calculate derivatives of vectors
		3rd	Scalar fields, vector fields	Explain scalar and vector fields
		4th	Line integral of scalars	Calculate the line integral of scalars
		5th	Line integral of vector fields	Calculate the line integral of vector fields
		6th	Surface integral scalars	Calculate the surface integral of scalars
		7th	Surface integral vector fields	Calculate the surface integral of vector fields
		8th	Midterm examination
	2nd Quarter
		9th	Basic properties of complex numbers 1	Understand the basic properties of complex numbers
		10th	Basic properties of complex numbers 2	Understand the basic properties of complex numbers
		11th	Complex function	Understand the complex function
		12th	Differentiation of complex functions	Calculate the derivative of complex functions
		13th	Integral of complex functions	Calculate complex integrals
		14th	Cauchy's integral theorem	Able to explain Cauchy's integral theorem
		15th	Cauchy's integral expression	Calculate perimeter integrals using the Cauchy integral expression
		16th	Final examination

Evaluation Method and Weight (%)

	Examination	Portfolio	Total
Subtotal	50	50	100
Basic Proficiency	20	15	35
Specialized Proficiency	15	20	35
Cross Area Proficiency	15	15	30