Outline of lecture

Mathematica is a highly ingenious, extremely precise and among others user-friendly programming language. From the standpoint of the human economic science, it is the most suitable for 1) complicated symbolic computation including vast amounts of terms, 2) analytical or numerical solutions of equations, differential equations or minimization calculation, 3) accurate and aesthetic visualization of graphs or figures. In this class, we provide practices using GSIC Educational System and Tsubame Grid Cluster to learn how to manipulate "Mathematica", which is necessary for the calculation of economics or cognitive psychology such as solution to equations, linear algebra (list, vector and matrix manipulation), statistics (Descriptive statistics, Regression, Anova), graphs and complex network, and simulation of complex systems.

Purpose of lecture

Mathematica is a highly ingenious, extremely precise and among others user-friendly programming language. From the standpoint of the human economic science, it is the most suitable for 1) complicated symbolic computation including vast amounts of terms, 2) analytical or numerical solutions of equations, differential equations or minimization calculation, 3) accurate and aesthetic visualization of graphs or figures. In this class, we provide practices using GSIC Educational System and Tsubame Grid Cluster to learn how to manipulate "Mathematica", which is necessary for the calculation of economics or cognitive psychology such as solution to equations, linear algebra (list, vector and matrix manipulation), statistics (Descriptive statistics, Regression, Anova), graphs and complex network, and simulation of complex systems.

Plan of lecture

1. Procedures to Get Tsubame Account and Introduction to Tsubame Literacy
2. Mathematica, its features and interfaces--Symbolic Programming, Use of Notebook and "math" command for Tsubame computation
3. Basic Built-in Functions of Mathematica: Numerical Calculation and Algebraic Calculation
4. Basic Built-in Functions of Mathematica: Linear Algebra--List, Vector and Matrix Manipulation
5. Basic Built-in Functions of Mathematica: Uploading and Downloading Data; 2-D and 3-D Graphics
6. Functional Programming, Operators and their Syntax
7. Functions, Packages and Batch Processing
8. Pattern Matching, Logical Operations and Flow Controls
9. Application to Human Economic Science: Statistical Analyses
10. Application to Human Economic Science: Solution to Equations
11. Application to Human Economic Science: Differential and Integral Calculus
12. Application to Human Economic Science: Combinatorica and Network Computation
13. Application to Human Economic Science: Simulation of complex systems
13. Practices of More Advanced Programming (1)
14. Practices of More Advanced Programming (2)
15. Practices of More Advanced Programming (3)

Textbook and reference

No textbook is required. For the course materials, please refer to

•http://www.b.cc.titech.ac.jp/~39499864/Mathematica/
•Human Economic Science by Mathematica縲
•http://dl.dp.hum.titech.ac.jp/wiki/?resources

Related and/or prerequisite courses

The credit of this course can be used to complete the International Human Economic Science Special Course which will start in April, 2009.

Evaluation

Attendance and reports

Comments from lecturer

This lecture will be held from April the 14th on every Tuesday, 13:20~14:50 (Time Slots: 5-6) at the 2nd Practical Room of Global Scientific Information and Computing Center (GSIC) (3rd floor). The access information can be found at the following URLs.

•http://www.gsic.titech.ac.jp/contents/campusmap.html.ja
•http://www.gsic.titech.ac.jp/contents/campusmap.html.en
No special knowledge on Mathematica is required.
For the more detailed information on the course, please refer to
http://www.ihes.hum.titech.ac.jp and feel free to send an email to Prof. Akama (akama@dp.hum.titech.ac.jp)
The credit of this course can be used to complete the International Human Economic Science Special Course which will start in April, 2009.