Essential Mathematics for Global LeadersT[16S1000]

科目名
Course Title
Essential Mathematics for Global LeadersT[16S1000]
Essential Mathematics for Global LeadersT
授業言語
Language
English
科目区分・科目種 共通科目(前期課程) クラス 博士課程共通
CCBM   キャリアデザイン  
単位数 2.0単位 履修年次 13

担当教員 DAHAN Xavier
学期 前期
曜日・時限・教室
月曜 3 4 人間文化研究科棟408室

授業の形態
講義,演習

教科書・参考文献
Will be given during the course.

評価方法・評価割合
その他=Attendance, Mid-term test or report, Final exam or report.

主題と目標
The theme of this course is to introduce the notions of probability used in statistics, and then main concepts to understand and use confidently major statistical tools as used in all experimental sciences.
The objective is to grasp the usefulness of statistics, as well as its limitations (and avoid some common misunderstandings!). The course will focus on practice of the important concepts on examples, rather than going into theoretical details.

授業計画
1. Probability.
Combinatorics and discrete probability. Independent events, conditional probability, Bayes formula. Discrete random variable, some important discrete laws, expectation and variance.
Continuous probability distributions. Exponential law, Normal law
Overview of the Law of Large Numbers and of the Central Limit Theorem.
Covariance and correlation,
2. Statistical inference I. Null Test Significance Hypothesis.
Introduction & concepts. Maximum Likelihood. Hypothesis testing, Significance level. p-value. Chi-square and t-tests.
3. Statistical inference II: more on confidence intervals.
Confidence intervals for chi-square and t-test. Confidence intervals in polling. Case of non-normal distributions, non
4. Additional topics (if time allows): Analysis of variance (ANOVA), regression, multivariate analysis..

学生へのメッセージ
A strong background in Mathematics is not necessary (basically, high-school, 1st year level in Calculus should be enough). Therefore, besides students from Math, Computer Science, Physics, Chemistry, students from Nutrition, Life Science department are also welcome.
英語が難しいと思ったら、語彙や表現を日本語も提供しますので、安心してください。

学生の問い合わせ先
お茶の水女子大学 リーディング大学院推進センター
mail: leading-center@cc.ocha.ac.jp
URL: http://www.cf.ocha.ac.jp/leading/
tel: 03-5978-5775