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# Experimental mathematics 2

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Lecture slides for Foreign Students of Osaka University

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### Experimental mathematics 2

1. 1. Experimental Mathematics Joe Suzuki Osaka University Welcome to
2. 2. Instructor: Joe Suzuki Prof. Joe Suzuki Born 1960 (Tokyo) Degree Waseda U. (Doctor, 1993) Affiliation Math. Dept, Osaka U. Experts Applied Math (Cryptography, Computation, Statistics, etc.) Oversees Stanford (’95-’97), Yale (’01-’02) Family Wife, Son(21), Daughter(18)
3. 3. Why Statistics ? Big Data Era has come Data Mining Search Engine Optimization Social Network Analysis Many other uncountable applications Best Seller this year (500K copies) ``Statistics is the most powerful Study” 「統計学が最強の学問である」 Kei Nishiyama (西山啓)
4. 4. What is R? • Most popular statistical package • Open Source (can be used free, was ``S” but renamed ``R”) • functions including vectors, graphics, data entry function definition using existing functions • Easier to learn statistics using R than studying theory. > weight <- c(60, 72, 57, 90, 95, 72) > weight [1] 60 72 57 90 95 72 > height <- c(1.75, 1.80, 1.65, 1.90, 1.74, 1.91) > bmi <- weight/height^2 > bmi [1] 19.59184 22.22222 20.93664 24.93075 31.37799 19.73630
5. 5. What background is assumed? required Not required (help understanding) Math Elementary (Junior High School) Matrics, Sequence, Probability (High School) IT Internet Calculater Elementary Programming Motivation is more important rather than existing knowledge
6. 6. Text: Introductory Statistics with R Peter Dalgaard Do not have to buy it Copy is available from CLE 6,000JPY, 25USD if you buy (Amazon) Describes case studies How to use R rather than What is R No Therem is given in 16 chapters Well-known Used in many universities Evaluated High
7. 7. Login CLE today! (Collaboration&Learning Management System) • Obtain any course materials • Submit your Reports from there • Check your evaluation there
8. 8. Your Evaluation: No Test item points Reports (50 Problems) 100 Attendance (15 Times) 30 Bonus points (Presentatiions, Good Solutions) Additional points Points Grade 90- S 80-89 A 70-79 B 60-69 C -59 F
9. 9. Presentations Question Answer How many times 1-2 depends on how many attending then What Explain your solution of a problem in report How long Five minutes How Any of Power points, blackboard, resume (your choice) Students are welcome to ask questions: bonus will be given to good discussion as well
10. 10. Schedule No. Date Contents 1 10/1 Chap. 1 (1) Basics 2 10/8 Chap. 1 (2) Basics 3 10/15 Chap. 3 Chap. 2(1) Probability & Distributions 4 10/22 Chap. 4 Chap. 2(2) Descritive Statistics & Graphics 5 10/29 Chap. 5 Chap. 2(3) 1&2-Sample Tests 6 11/12 Chap. 6 Chap. 2(4) Regression & Correlation 7 11/19 Chap. 7 Analysis of Variance % Kruskal-Wallis Test 8 11/26 Chap. 8 Tabular Data • Chap. 2 requires experience of handling R as a system. • From December, presentations by students are introduced.
11. 11. Attendance/Reports • Attendance: submit via CLE the file you typed for the class • Reports: submit via CLE the file containing the execution results R comands purpose Save File To save the execution results Save workspace To continue the workspace next time It might take time before CLE is available for some students. In that case, keep the files until CLE can be used for them.