Numerical Analysis |
TANAMOTO Tetsufumi |
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【Information and Electronic Engineering･2nd semester】
19-1-0474-5264 |
| １． |
Outline |
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After graduation, there will be times to be forced to solve differential numerically, integral, and differential equations such as in the designing process of electric circuits. In this course, students will have an ability to carry out calculations by themselves just by reviewing the textbooks.
This course is related to DP3.
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| ２． |
Objectives |
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By using a computer, students solve the differential equations, and students can also perform numerical integration and numerical differentiation. Students can also learn the basics of matrix calculation.
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| ３． |
Grading Policy |
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Evaluation will be based on small tests and reports (50%) and results of final exams (50%).
The report includes homework programs.
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| ４． |
Textbook and Reference |
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Textbooks: M. Mitsuda, Suda Universe『数値計算法』 (Morikita Publishing)
Reference book: Kazuhiro Nakamoto 『今日から使える微分方程式』(Kodansha)
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| ５． |
Requirements (Assignments) |
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The contents of the class are in accordance with the chapters and contents of the textbook. The program in C language is written in the textbook. Please always prepare and review for the classes by using textbooks. Also please keep the unit of basic mathematics such as differentiation and integration.
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| ６． |
Note |
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Please prepare for PC programming in your language.
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| ７． |
Schedule |
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| １. Root of the equation - Newton's method (1) |
２. Root of the equation - Newton's method (2)
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３. Simultaneous linear equation (1)
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| ４. Simultaneous linear equation (2) |
| ５. Function interpolation and approximate expression (1) |
| ６. Function interpolation and approximate expression (2) |
| ７. Numerical integration (1) - trapezoidal formula |
| ８. Numerical integration (2) - Simpson's formula |
| ９. Differential equation (1) |
| 10. Differential equation (2) |
| 11. Differential equation (3) |
| 12. Differential equation (4) |
| 13. Inverse matrix and eigenvalues (1) |
| 14. Inverse matrix and eigenvalues (2) |
| 15. Summary and test |
|
| １． |
Outline |
|
After graduation, there will be times to be forced to solve differential numerically, integral, and differential equations such as in the designing process of electric circuits. In this course, students will have an ability to carry out calculations by themselves just by reviewing the textbooks.
This course is related to DP3.
|
| ２． |
Objectives |
|
By using a computer, students solve the differential equations, and students can also perform numerical integration and numerical differentiation. Students can also learn the basics of matrix calculation.
|
| ３． |
Grading Policy |
|
Evaluation will be based on small tests and reports (50%) and results of final exams (50%).
The report includes homework programs.
|
| ４． |
Textbook and Reference |
|
Textbooks: M. Mitsuda, Suda Universe『数値計算法』 (Morikita Publishing)
Reference book: Kazuhiro Nakamoto 『今日から使える微分方程式』(Kodansha)
|
| ５． |
Requirements (Assignments) |
|
The contents of the class are in accordance with the chapters and contents of the textbook. The program in C language is written in the textbook. Please always prepare and review for the classes by using textbooks. Also please keep the unit of basic mathematics such as differentiation and integration.
|
| ６． |
Note |
|
Please prepare for PC programming in your language.
|
| ７． |
Schedule |
|
| １. Root of the equation - Newton's method (1) |
２. Root of the equation - Newton's method (2)
|
３. Simultaneous linear equation (1)
|
| ４. Simultaneous linear equation (2) |
| ５. Function interpolation and approximate expression (1) |
| ６. Function interpolation and approximate expression (2) |
| ７. Numerical integration (1) - trapezoidal formula |
| ８. Numerical integration (2) - Simpson's formula |
| ９. Differential equation (1) |
| 10. Differential equation (2) |
| 11. Differential equation (3) |
| 12. Differential equation (4) |
| 13. Inverse matrix and eigenvalues (1) |
| 14. Inverse matrix and eigenvalues (2) |
| 15. Summary and test |
|
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