到達目標
At the completion of this course, students will be able to:
1) Utilize the knowledge of basic mathematics to discrete mathematics.
2) Understand the basic concept of set, mapping and logic.
3) Utilize mathematical formula and diagram for discrete mathematics.
ルーブリック
| Ideal Level of Achievement (Very Good) | Standard Level of Achievement (Good) | Unacceptable Level of Achievement (Fail) |
| Evaluation 1 | Can understand the relation between discrete mathematics and basic mathematics, and utilize it. | Can utilize basic mathematics. | Cannot utilize basic mathematics. |
| Evaluation 2 | Can explain the basic concept of set, finitary relation, mapping and logic. | Can understand the basic concept of set, finitary relation, mapping and logic. | Cannot under stand the basic concept of set, finitary relation, mapping and logic. |
| Evaluation 3 | Can understand mathmatical formula and diagram for discrete mathematics, and can utlize it. | Can utilize mathematical formula and diagram for discrete mathematics. | Cannot utilize mathematical formula and diagram for discrete mathematics. |
学科の到達目標項目との関係
MCCコア科目
説明
閉じる
ディプロマポリシー 1
説明
閉じる
教育方法等
概要:
In information science, set, finitary relation and predicative logic are fundamental and important.
In this course, we will treat the basic idea and concept of them.
授業の進め方・方法:
Lectures by teachers alone are conducted.
注意点:
The recognition of credit requires 60 points or more rating. A person who has a rating of less than 60 points may be subjected to an approval test by request. As the result of the approval test, the evaluation is made
to be 60 points in the person who the mastery of the unit is recognized.
授業計画
|
|
週 |
授業内容 |
週ごとの到達目標 |
| 後期 |
| 3rdQ |
| 1週 |
Guidance |
Can explain the target and idia of dsicrete mathematics.
|
| 2週 |
Numeral expression I |
1) Ccan express a negative number with base n.
2) Can calculate addition and substraction with base n.
|
| 3週 |
Numeral expression II |
1) Can express a decimal with base n.
2) Can explain approximation, rouding, effective digit and error.
|
| 4週 |
Proposition and logical operation I |
Can explain truth value and De Morgan's theorem.
|
| 5週 |
Proposition and logical operation II |
1) Can explain sufficient condition, necessary condition and necessary an sufficient condition.
2) Can express the converse, the inverse and the contraposition of a proposition.
|
| 6週 |
Set I |
Can express the basic idea and concept of set.
|
| 7週 |
Set II |
Can perform a set operation following De Morgan's theorem.
|
| 8週 |
Midterm exam |
|
| 4thQ |
| 9週 |
Mapping I |
1) Can explain the idea and concept of mapping.
2) Can explain the relation between mapping and function.
|
| 10週 |
Mapping II |
Can perform a set compositon and permutation.
|
| 11週 |
Relation I |
Can explain the idea and concept of relation, equality relationship, magnitude relationship and ordered pair.
|
| 12週 |
Relation II |
Can express the relation between objects with directed graph.
|
| 13週 |
Predicate logic I |
Can explain the relation between predicate and set.
|
| 14週 |
Predicate logic II |
Can perform a mathematical proof using mathematical induction
|
| 15週 |
Terminal exam |
|
| 16週 |
Grading confirmation, question evaluation questionnaire |
|
モデルコアカリキュラムの学習内容と到達目標
| 分類 | 分野 | 学習内容 | 学習内容の到達目標 | 到達レベル | 授業週 |
| 専門的能力 | 分野別の専門工学 | 情報系分野 | 計算機工学 | 整数・小数をコンピュータのメモリ上でディジタル表現する方法を説明できる。 | 3 | |
| 基数が異なる数の間で相互に変換できる。 | 3 | |
| 整数を2進数、10進数、16進数で表現できる。 | 3 | |
| 小数を2進数、10進数、16進数で表現できる。 | 3 | |
| 情報数学・情報理論 | 集合に関する基本的な概念を理解し、集合演算を実行できる。 | 4 | |
| 集合の間の関係(関数)に関する基本的な概念を説明できる。 | 3 | |
| ブール代数に関する基本的な概念を説明できる。 | 3 | |
| 論理代数と述語論理に関する基本的な概念を説明できる。 | 3 | |
| コンピュータ上での数値の表現方法が誤差に関係することを説明できる。 | 3 | |
評価割合
| Examination | Presentation | Mutual Evaluations between students | Behavior | Portfolio | Other | 合計 |
| 総合評価割合 | 80 | 0 | 0 | 0 | 20 | 0 | 100 |
| Basic Ability | 40 | 0 | 0 | 0 | 10 | 0 | 50 |
| Technical Ability | 40 | 0 | 0 | 0 | 10 | 0 | 50 |
| Interdisciplinary Ability | 0 | 0 | 0 | 0 | 0 | 0 | 0 |