Mathematics Ⅰ B

Course Information

College	Akashi College	Year	2022
Course Title	Mathematics Ⅰ B
Course Code	4104	Course Category	General / Compulsory
Class Format	Lecture	Credits	School Credit: 2
Department	Architecture	Student Grade	1st
Term	Year-round	Classes per Week	2
Textbook and/or Teaching Materials	高遠他:「新　基礎数学」大日本図書高遠他:「新　基礎数学　問題集」大日本図書
Instructor	KAWATA Shoutarou

Course Objectives

To understand and solve problems related to trigonometric functions, figures, equations, and sequences.

Rubric

	Ideal Level	Standard Level	Unacceptable Level
1)Trigonometric functions	Can fully understand the definition of trigonometric function and competently solve problems using trigonometric functions.	Can understand the definition of trigonometric function and solve problems using trigonometric functions.	Can not understand the definition of trigonometric function or solve problems using trigonometric functions.
2)Equations and graphs	Can fully understand the relationship between equations and graphs, and solve problems related to straight lines and quadratic curves.	Can sufficiently understand the relationship between equations and graphs, and solve problems related to straight lines and quadratic curves.	Can not understand the relationship between equations and graphs, or solve problems related to straight lines and quadratic curves.
3)sequences	Can fully understand and sum the general term of a sequence.	Can understand and sum the general term of a sequence.	Can not understand and sum the general term of a sequence.

Teaching Method

Outline:

To learn about trigonometric functions, figures and their equations, and sequences. Learn the fundamentals of mathematics required in college.

Style:

Preparation for the syllabus using videos. Studying in groups during class with problem-solving.

Notice:

Preparation and review of the content learned are indispensable.
7 absences will be excused.

Characteristics of Class / Division in Learning

Active Learning

Applicable to Remote Class

Course Plan

			Theme	Goals
1st Semester
	1st Quarter
		1st	Triangle ratio and its application	Can calculate the triangle ratio.
		2nd	Triangle ratio and its application	Can calculate the obtuse angle trigonometric ratio.
		3rd	Triangle ratio and its application	Can solve triangle problem using the sine theorem.
		4th	Triangle ratio and its application	Can solve triangle problem using the cosine theorem.
		5th	Trigonometric function	Can calculate the value of an angle using the trigonometric functions.
		6th	Trigonometric function	Can express angles using the arc method.
		7th	Trigonometric function	Can express angles by the radian method.
		8th	Exercises
	2nd Quarter
		9th	Trigonometric function	Can explain the interrelationship and nature of trigonometric functions.
		10th	Trigonometric function	Can draw the graph of a trigonometric function.
		11th	Trigonometric function	Can solve the triangular equation and triangular inequality.
		12th	Additive theorem and its application	Can calculate trigonometric ratio using the additive theorem.
		13th	Additive theorem and its application	Can derive the formula of the sum of products, etc. And do calculations using them.
		14th	Additive theorem and its application	Can synthesize trigonometric functions.
		15th	Summary	Can solve problems related to the content learned.
		16th	End term exams	Solve problems related to what you have learned so far
2nd Semester
	3rd Quarter
		1st	Point and Straight line	Can calculate the centroid of a triangle, and the Interior division point.
		2nd	Point and Straight line	Can calculate the line equation.
		3rd	Point and Straight line	Can calculate linear equations satisfying the conditions of parallel or Vertical lines.
		4th	Quadratic curve circle	Can solve the circle equation.
		5th	Quadratic curve circle	Can solve the ellipse equation and calculate the approximate shape.
		6th	Quadratic curve circle	Can solve the parabolic equation and calculate the approximate shape, and the hyperbolic curve.
		7th	Quadratic curve circle	Can find parabolic equations and schemes.
		8th	Exercises	Solve problems related to what you have learned so far
	4th Quarter
		9th	Quadratic curve circle	Can calculate tangent of a quadratic curve.
		10th	Quadratic curve circle	Can show the area represented by inequality (Coalition).
		11th	Sequence	Can calculate the general term of an arithmetic progression.
		12th	Sequence	Can calculate the general term of an arithmetic progression.
		13th	Sequence	Can calculate the sum of various sequences.
		14th	Sequence	Can calculate the general term of the recurrence formula and can prove it using mathematical induction.
		15th	Summary	Can solve problems related to the content learned.
		16th	End term exams

Evaluation Method and Weight (%)

	Examination	Review Quiz	Assignment	Participation	Total
Subtotal	60	40	0	0	100
Basic Proficiency	60	40	0	0	100
Specialized Proficiency	0	0	0	0	0
Cross Area Proficiency	0	0	0	0	0