Course name

Mathematics

About the Instructor

Toru Soeda

Fellow of the Institute of Actuaries of Japan
Member of the Securities Analysts Association of Japan

Graduated from Sopia University, Department of Science and Engineering – Mathematics
Master of Science in Mathematics from Sophia University’s Graduate School of Science and Technology

Toyo Trust Bank, Ltd. Pension Trust Department
Nikko Research Center Co., Ltd. Pension Research Institute
Nomura Pension Support & Service Pension Research Institute
Engaged in business consulting for corporate pension settlements, retirement benefit obligations, and retirement benefit systems.
Also,
Mass Mutual Life Insurance Co., Ltd. Product Development Department
AIG Fuji Life Insurance Co., Ltd. Product Development Department
Engaged in the development of temporary payment products for bank sales products, products for corporations, medical insurance for individuals, etc.


Yuya Takasu

Associate of the Institute of Actuaries of Japan

Institute of Actuaries of Japan Qualification Examination Excellence Award (Mathematics)

March 2016 Graduated from the University of Tokyo, Department of Mathematical Engineering and Information Physics

Currently enrolled at The University of Tokyo Graduate School of Information Science and Technology

Lecture schedule (Last year)

The following lecture schedule is subject to change.

Unit 1: Random variables, probability density functions, conditional probability, Bayes’ theorem
Unit 2: Mean and variance, covariance and correlation coefficient
Unit 3: Probability distributions (excluding chi-square distribution, F distribution, t distribution)
Unit 4: Chebyshev’s inequality, central limit theorem, moment generating functions
Unit 5: Population and samples, sample mean, sample variance
Unit 6: Chi-square distribution, F distribution, t distribution
Unit 7: Point estimation, unbiased estimator, maximum likelihood estimator
Unit 8: Interval estimation of population mean and variance
Unit 9: Null hypothesis, alternative hypothesis, Type I & Type II errors
Unit 10: Mean, variance testing
Unit 11: Mean difference, dispersion ratio
Unit 12: Test of goodness of fit and independence
Unit 13: Modeling 1
Unit 14: Modeling 2
Unit 15: General Review 1
Unit 16: General Review 2

To those who wish to begin with review of high school and early university mathematics, we recommend attending the spring lecture course beginning May 21. Click here for details.

For the mathematics on the primary actuarial exam (probability, statistics, modeling), some people may be unfamiliar with the specific contents may not know how to proceed.  This course aims to teach probability and statistics from the very beginning, and systematically bring you up to the level necessary for passing the exam.  We will rely heavily on past released questions in preparation for the exam. (The ratio of lecture to exercises is scheduled to be around 60%: 40%)  For the exercises, we will primarily work on Question 1’s (basic).  However, when we get to Units 15 and 16, we will likely be working with Question 2’s and 3’s (intermediate and advanced).

We will proceed with lectures using the following teaching materials:

Main: Junichi Satsuma “Probability and Statistics (Introductory course for science and engineering mathematics 7)” Iwanami Shoten

Sub: Kiyoshi Kunisawa “Probability & Statistics Exercises 1 – Probability” and “Probability & Statistics Exercises 2 – Statistics” Baifukan

Practice Exercises: Past released problems

※If you cannot attend class at any time, we are able to provide a video recording of the lecture or lectures missed for those who have paid full tuition at the time of application.  Please do not hesitate to take advantage of this service.

Questions・Inquiries

Please feel free to contact us by email or phone.
Email:  secretary@yoshidaand.co.jp
Phone:  080-4339-4650