Mathematics Ⅰ A-2

Course Information

College	Akashi College	Year	2024
Course Title	Mathematics Ⅰ A-2
Course Code	6106	Course Category	General / Compulsory
Class Format	Lecture	Credits	School Credit: 2
Department	Mechanical Engineering	Student Grade	1st
Term	Second Semester	Classes per Week	4
Textbook and/or Teaching Materials	新基礎数学　高遠節夫ほか著（大日本図書）、同問題集
Instructor

Course Objectives

1) To understand numbers and equations, and be able to calculate them.
2) To understand Equation and inequality, and be able to solve them.
3) To understand and functions and graphs, and be able to use them.
4) To understand exponential and logarithmic functions, and be able to use them.
5) To understand the principles of the number of possible outcomes and probability, and be able to calculate them.

Rubric

	Ideal Level	Standard Level	Unacceptable Level
1)Functions and graphs	Can understand and functions and graphs, and be able to use them.	Can understand and functions and graphs.	Can nt understand and functions and graphs.
2) Exponential and logarithmic functions,	Can understand exponential and logarithmic functions, and be able to use them.	Can understand exponential and logarithmic functions.	Can not understand exponential and logarithmic functions.
3) Number of possible outcomes and probability	Can understand the principles of the number of possible outcomes and probability, and be able to calculate them.	Can understand the principles of the number of possible outcomes and probability.	Can not understand the principles of the number of possible outcomes and probability.

Teaching Method

Outline:

The objective is to develop basic mathematical formulas and logical thinking skills and acquire the fundamentals of mathematics necessary in college.

Style:

Preparation study for the lectures is a prerequisite, and the teacher will check it on each lesson. In the manner that the student can concentrate on the lecture, he/she should ask about everything he/she could not understand in the preparatory study for the lectures or during the lectures. Please do not leave anything you did not understand for later. Be sure to review regularly and try to solve the problem collection in the textbooks. The teacher will conduct small tests without prior notice. Therefore the student should study hard every day.

Notice:

Examination 50%, assignments 20 %, and presentation 30% of the final grade. The students should acquire more than 60 points to receive the credits. However, this ratio is for the final grade, the cumulative evaluation up to the latter middle term exams is a tentative ratio and may result in a different grade than the final one.
If assignments, presentations, are done well and handle in time, they may have a positive impact in the final grade.

Course Plan

			Theme	Goals
2nd Semester
	3rd Quarter
		1st	Quadratic function	To be able to draw a quadratic function graph and calculate maximum and minimum values.
		2nd	Quadratic function	Can solve quadratic equations and quadratic inequalities using quadratic function graphs.
		3rd	Various functions	Can understand even function, odd function, and the parallel movement of a graph, and draw a power function or fraction function graph.
		4th	Various functions	Can draw irrational functions and calculate inverse functions.
		5th	Exponential functions	Can understand the exponentiation roots and the use of the exponential extension.
		6th	Exponential functions	Can draw a graph of an exponential function, and solve equations and inequalities with simple exponents.
		7th	Summary	To review what was studied so far.
		8th	Mid term exam	To check was learned so far.
	4th Quarter
		9th	Log function	Can understand logarithms, and use base conversion formulas, and the properties of logarithms.
		10th	Log function	Can draw a graph of a logarithmic function, and solve a simple logarithm equation or inequality. Can use common logarithms.
		11th	Number of possible outcomes	Can understand the law of product and law of sum, and solve simple cases of the number of possible outcomes.
		12th	Number of possible outcomes	Can calculate the value of the permutation.
		13th	Basics of probability	Can understand and calculate the probability of independent trial, the probability of a surplus event, the probability of exclusion event.
		14th	Basics of probability	Can understand and calculate the conditional probability, and the establishment of independent events.
		15th	Summary	To review what was studied so far.
		16th	End term exam	To check was learned so far.

Evaluation Method and Weight (%)

	Examination	Assigments	Peer Assessment	Total
Subtotal	50	20	30	100
Basic Proficiency	50	20	30	100
Specialized Proficiency	0	0	0	0
Cross Area Proficiency	0	0	0	0