Mathematics Ⅰ A-1

Course Information

College Akashi College Year 2023
Course Title Mathematics Ⅰ A-1
Course Code 5105 Course Category General / Compulsory
Class Format Lecture Credits School Credit: 2
Department Civil Engineering Student Grade 1st
Term First 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 MATSUMIYA Atusi

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 LevelStandard LevelUnacceptable Level
1) Numbers and equationsCan understand numbers and equations, and be able to calculate them.Can understand numbers and equations.Can not understand numbers and equations.
2) Equation and inequalityCan understand Equation and inequality, and be able to solve them.Can understand Equation and inequality.Can not understand Equation and inequality.
3)Functions and graphsCan understand and functions and graphs, and be able to use them.Can understand and functions and graphs.Can nt understand and functions and graphs.
4) 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.
5) 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.

Assigned Department Objectives

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.

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 Numbers and equations To calculate additive, subtractive, and multiplicative equations. Also, you can factor decompose simple equations.
2nd Numbers and equations To calculate the division of the formula. Also, to understand the remainder theorem and factor theorem, and factorize higher-order polynomial equations.
3rd Numbers and equations To calculate addition, subtraction, multiplication, division, of fractional expressions. To understand the meaning of real numbers and absolute values, and to do simple calculation with absolute values.
4th Numbers and equations To calculate basic square root equations (including rationalization of denominator). To understand the equivalence of complex numbers, and do the four arithmetical operations: addition, subtraction, multiplication, and division.
5th Equation To solve the quadratic equation using the official formula. To understand the relationship between the solutions and the coefficients, and factorize quadratic expressions.
6th Equation To solve various equations (simultaneous equations, irrational equations, fractional equations, etc.). To understand the identity operator, and do partial fraction decomposition.
7th Summary To review what was studied so far.
8th Mid term exam To check was learned so far.
2nd Quarter
9th Equation To prove various equations.
10th Inequality To understand the nature of inequality and solve linear inequality.
11th Inequality To solve various inequalities (simultaneous inequality, quadratic inequality, higher order inequality).
12th Inequality To prove various inequalities, including the additive geometric mean.
13th Inequality To understand set, and to judge the truth of the proposition.
14th Quadratic function To understand the relationship between functions and graphs, and use the domain, range, and quadrant.
15th Summary To review what was studied so far.
16th End term exam To check was learned so far.

Evaluation Method and Weight (%)

ExaminationAssigmentsPeer AssessmentTotal
Subtotal502030100
Basic Proficiency502030100
Specialized Proficiency0000
Cross Area Proficiency0000