Undergraduate Courses
Calculus 2 *
Workshop on Policy and Planning Sciences *
How to be logical *
Java Programming *

Computer Science *
Introduction to Management Sciences *
Workshop on Modelling *
Operations Research 1 (Yokohama National University) *

Graduate Courses
Optimization Theory and Methods *
Issues and Methods of Management Science *

Mathematics 1 *
Mathematics 2 *
Mathematical Programming 1 *
Mathematical Programming 2 *
Operations Research (Shizuoka University) *

Java Programming

Outline : Learn Java through making a program rowMAT on IDE Eclipse. RowMAT performs elementary row operations to your matrix and gives you the inverse matrix, a solution of linear equations, etc.

Lecture manuscripts are available on Shako Moodle

Useful Sites:

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Computer Science

Outline : Basic technique for stiring matching will be explained.

Lecture manuscript in pdf :string2013-02-21
slides: stringSlides2013-02-21

R. Sedgewick, Algorithms, 2nd ed., Addison-Wesley, 1988, Japanese translation (ISBN 4-7649-0170-6) is published by Kindai Kagaku Sha.
T.H. Cormen, C.E. Leiserson and R.L. Rivest,
Introduction to Algorithms, MIT Press, 1990, ISBN 0-262-03141-8

Find your id number in the one million digits of pi : pi10m_01of10
The pi pages with a bunch of pi links
The joy of pi
Art and pi works by J.Volkmar Schmid
Room of pi
Program super Pi

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Workshop on Modelling

Lecture manuscript in pdf : newsVendor

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Workshop on Policy and Plannnig Sciences

Outline : Introduction to Management Science and Operations Research - PERT, Business Game and KAIZEN -

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Calculus 2
Outline : Introductory course of calculus, integrals, derivatives of multivariable functions, infinite series etc.

New Graph Gallery :
Old Graph Gallery

Graph software Gnuplot :
Gnuplot home page
Introduction to Gnuplot
The first step to Gnuplot

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How to be logical

Text : Das Geheimnis des kuerzesten Weges by Peter Gritzmann and Rene Brandenberg, Springer-Verlag, 2005;
Japanese translation: Springer-Japan, 2007, ISBN978-4-431-10011-9

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Operations Research 1 (at Yokohama National University)

Branch and bound tree
Lecture manuscript in pdf :
(revised on July 27, 2011)


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Optimization Theory and Methods
Outline : Concerning the nonlinear optimization without constraints, we study the optimality condition, steepest descent method, quasi-Newton method, Newton method, and their global convergence property and convergence rate.

Steepest descent (red) vs. Newton (blue) for Rosenbrock

Text : Hiroshi Yabe, Optimization and its Applications, Surikogakusha, 2006, ISBN 4-901683-34-9 (in Japanese)
References :
Jorge Nocedal and Stephen J. Wright, Numerical Optimization, 2nd ed., Springer Series in Operations Research, Springer-Verlag, 2006, ISBN-10:0-387-30303-0
Mordecai Avriel, Nonlinear Programming, Analysis and Method
s, Prentice-Hall,1976, ISBN 0-13-623603-0
P.E. Gill, W. Murray and M.H. Wright, Practical Optimization, Academic Press, 1986, ISBN 0-12-283952-8

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Issues and Methods of Management Science
Outline : The students are to challenge more than 60 quizzes arising from the social welfare and voting theory. On the top of that, they will be introduced to the world of Majority Judgment.

Lecture manuscript Vol.1 :

Lecture manuscript Vol.2 :

Visit my Page of Majority Judgment !

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Mathematics 1
Outline : Introductory course of linear algebra with exercise

Lecture manuscript in pdf : slide-alge

References :
Srymour Lipschutz, Linear Algebra, 3rd edition, Schaum's Outline Series, McGraw-Hill, ISBN 0-07-136200-2
E.T. Dowling, Mathematical Methods for Business and Economics, Schaum's Outline Series, McGraw-Hill, ISBN 0-07-017697-3

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Mathematics 2
Outline : Comprehensive course of calculus with exercise

Lecture manuscript in pdf : Math2
Problems in pdf : Problem2
Solutions in pdf : Sol2

References :
M.R. Spiegel, Advanced Calculus, Schau
m's Outline Series, McGraw-Hill, ISBN0-07-060229-8
F. Ayres, Jr. and E. Mendelson, Calculus, 4th Ed., Schaum's Outline Series, McGraw-Hill, ISBN0-07-041973-6

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Mathematical Programming (1)
Outline : This course gives a basic theory for mathematical programming. Knowledge of linear algebra and basic topology should be desirable.
Text : S. Boyd and L. Vandenberghe, Convex Optimization, Cambridge University Press, 2004.
References :

M.S.Bazaraa, H.D.Sherali & C.M.Shetty, Nonlinear Programming, Theory and Algorithms, 2nd Edition, John Wiley & Sons, New York, 1993, ISBN0-471-55793-5.
M. Minoux, Mathematical Programming: Theory and Algorithms, Joh
n Wiley & Sons, 1986.
M. Avriel, Nonlinear Programming, Analysis and Methods, Prentice-Hall, 1976.
J. Stoer and C. Witzgall, Convexity and Optimization in Finite Dimensions 1, Springer-Verlag, 1970.
J. -B. Hiriart-Urruty and C. Lemarechal, Convex Analysis and M
inimization Algorithms 1 & 2, Springer-Verlag, 1993.

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Operations Research (at Shizuoka University)

Lecture manuscript in pdf :

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