Essential Mathematics for Global Leaders Ⅰ to begin on April 10, 2017

 Class List of Spring Semester 2017

“Essential Mathematics for Global LeadersⅠ” will begin on April 10. This is a compulsory lecture for students in “Minor Course of Science and Technology for Global Leaders”. But all master’s & doctoral students can take it if you have interest. The lecture will be conducted in English.

Lecture Theme & Objective

Prof. DahanThe 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.

Message to Students

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.

Lecture Outline

Essential Mathematics for Global LeadersⅠ [17S1000]
Number of Credits
Dahan, Xavier (Project Associate Professor of Ochanomizu University)
Target Audience
Graduate Students
Graduate School of Humanities & Sciences Building R408
Science Building 1 R629 for July 10 & 24
Date & Time
Monday, Period 3-4 (10:40-12:10)
April 10, 17, 24
May 8, 15, 22, 29
June 5, 12, 19, 26
July 3, 10, 24, 31*
*No lecture. Assignments will be given.
Lecture Schedule
  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..
Lecture Materials
Will be given during the course.


Registration Period: April 8 through 21
If you cannot register during above period, please submit a paper-based registration form at Academic Affairs Office in Student Affairs Building.


Ochanomizu University Leading Graduate School Promotion Center
Tel: 03-5978-5775