Essential Mathematics for Global Leaders Ⅰ to begin on April 11, 2016

“Essential Mathematics for Global Leaders Ⅰ” will begin on April 11. This is a compulsory lecture for students who are 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. Dahan

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.

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

Subject Essential Mathematics for Global Leaders Ⅰ   [16S1000]
Instructor Dahan, Xavier  (Project Associate Professor of Ochanomizu University)
Target Audience Graduate Students
Location Graduate School of Humanities & Sciences Building R408
*Location will be changed during Summer Program (7/13-7/29).
Lecture Schedule Date & Time Theme of Lecture
Mon., Apr. 11, 10:40 – 12:10
  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.
Mon., Apr. 18, 10:40 – 12:10
Mon., Apr. 25, 10:40 – 12:10
Mon., May   9, 10:40 – 12:10
Mon., May  16, 10:40 – 12:10
Mon., May  23, 10:40 – 12:10
Mon., May  30, 10:40 – 12:10
Mon., Jun.  6, 10:40 – 12:10
Mon., Jun. 13, 10:40 – 12:10
Mon., Jun. 20, 10:40 – 12:10
Mon., Jun. 27, 10:40 – 12:10
Mon., Jul.  4, 10:40 – 12:10
Mon., Jul. 11, 10:40 – 12:10
Mon., Jul. 25, 10:40 – 12:10
Location is TBD.
Mon., Aug.  1, 10:40 – 12:10


Registration Period: April 8 through 22
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