Essential Mathematics for Global LeadersⅠto begin on April 15, 2019 (Location changed)

 Class List of Spring Semester 2019

“Essential Mathematics for Global LeadersⅠ” will begin on April 15. This is a compulsory class 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 class will be conducted in English.

Theme & Objective

Prof. Dahan

  • Understand background Probability used in Statistics

  • Use and understand various Null Hypothesis Significance Tests (NHST)

  • Use confidence intervals

  • Understand the limitation and caveat of Confidence Intervals and NHST

  • Understand and use (simple) Linear Regression

  • Become autonomous to study and learn more Statistical tools

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 [19S1000]
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 R633 for July 22 and 29
Date & Time
Monday*, Period 3-4 (10:40-12:10) *except for July 16, Tuesday
April 15, 22
May 13, 20, 27
June 3, 10, 17, 24
July 1, 8, 16, 22, 29
August 5
Lecture Plan
  1. Notions of Probability.
  2. Random Variables. Examples (discrete and continuous).
  3. Sampling Distribution, Point estimation. Maximum likelihood. Central Limit Theorem.
  4. Null Hypothesis Significant Test
    One-sample tests: z-test, chi2-test for variance, small and large Student t-tests.
    More than one-sample tests: t-test (equal variance), paired data, F-test, chi2 for goodness- of-fit, chi2 for independence, One-way ANOVA).
  5. Confidence Intervals.
    Comparison with NHST. Case of polling.
  6. Linear regression.
  7. Additional topics (if time allows): multivariate analysis, non-linear model.
Out-of-class Learning
Practicing is important to understand this class. There is a small report given at almost every class. This is to check understanding. It takes maybe 1h or at most 2h.
Powerpoint hands-out will be distributed at each class.


Registration Period: Tue., April 9 through Mon., April 22
If you cannot register during above period, please contact Academic Affairs Office in Student Affairs Building.


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