Mathematics for Computation

Numbering Code U-ENG25 25003 LJ71
U-ENG25 25003 LJ75
U-ENG25 25003 LJ54
Year/Term 2022 ・ First semester
Number of Credits 2 Course Type Lecture
Target Year Target Student
Language Japanese Day/Period Thu.2
Instructor name TATSUMI KAZUYA (Graduate School of Engineering Associate Professor)
Outline and Purpose of the Course This course focuses on the mathematical and numerical methods for numerical computation. We will learn the mathematical methods to solve mathematical and physical problems by using computers. We will study the programing language and practice programming to learn and experience the process of how to use a program to solve problems, write programs, and analyze the results, and also understand the accuracy and characteristics of the numerical methods.
Course Goals Understand and learn the basic knowledge, method and skill of mathematical solution for computation, planning the numerical method, programming, and analyze the results.
Schedule and Contents Mathematics for numerical simulation (3)
Learn the principle of computation and the mathematical method, and understand the error appearing in the computation.

Orientation and operating the terminal (1)
Access to the computer in the satellite seminar room and how to use the editor, and compile and run a program.

Basic programming (2)
Learn the basic statements and structure of programming (input, output, loop, parameters, array, sub routine, function, etc.)

Applied and practical problems (5)
We will learn the fundamental method and programming of various numerical methods: solution of equation (Bisection method, Newton's method), numerical integration (Simpson’s method), simultaneous equation (Gaussian elimination), differential equation (Runge-Kutta method), data analysis (least-square method).

Advanced programming (3)
Learn the mathematical method and programming for advanced problems including physical phenomena.

Confirmation of learning attainment. (1)
Evaluation Methods and Policy A final examination will be held. In-class reports will be factored in for maximum 40%.
Course Requirements Students are recommended to have completed Information Processing Basics and Exercises in Information Processing Basics.
Study outside of Class (preparation and review) Study and practice the basics of programming (grammar, flowchart, compile, edit, etc).
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