Applied Mathematics for Architecture
| Numbering Code | U-ENG24 34054 LJ74 | Year/Term | 2022 ・ First semester | |
|---|---|---|---|---|
| Number of Credits | 2 | Course Type | Lecture | |
| Target Year | Target Student | |||
| Language | Japanese | Day/Period | Fri.3 | |
| Instructor name |
OOSAKI MAKOTO (Graduate School of Engineering Professor) OGURA DAISUKE (Graduate School of Engineering Professor) OOTANI MAKOTO (Graduate School of Engineering Associate Professor) NISHIJIMA KAZUYOSHI (Disaster Prevention Research Institute Associate Professor) |
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| Outline and Purpose of the Course | Applied Mathematics required for understanding architecture such as architectural planning, structural design, environmental design is taught. It is aimed that students will acquire the ability to understand and analyze the architecture from mathematical viewpoint. | |||
| Course Goals |
Ordinary and partial differential equations, integral transform, probability theory and statistics, calculus of variation |
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| Schedule and Contents |
1. Ordinary differential equation: Applications of ordinary differential equations (ODE’s) to analysis of architecture (Nishijima) 2. Ordinary differential equation: Solutions to constant-coefficient ODE's. (Nishijima) 3. Ordinary differential equation: Solutions to variable-coefficient ODE's. (Nishijima) 4. Fourier transform: Applications of Fourier transform to analysis of architecture (Otani) 5. Fourier transform: Fourier series for periodic functions (Otani) 6. Fourier transform: Fourier series for aperiodic function, impulse response, and convolution. (Otani) 7. Laplace transform: Definition of Laplace transform, and applications of Laplace transform to analysis of architecture (Ogura) 8. Laplace transform: Applications to solutions to ODE's. (Ogura) 9. Laplace transform: Applications to solutions to partial differential equations (PDE's). (Ogura) 10. Probability and statistics: Basics of probability theory, types of probability distributions, and applications to analysis of architecture (Nishijima) 11. Probability and statistics: Estimation and test (Nishijima) 12. Calculus of variation: Definition of functional, and Euler's equation. (Ohsaki) 13. Calculus of variation: Method of Lagrange multipliers (Ohsaki) 14. Calculus of variation: Method of Ritz-Galerkin (Ohsaki) 15. Verification of how students understand: Check how students understand the contents in previous 14 classes. (All) |
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| Evaluation Methods and Policy | Final examination | |||
| Course Requirements | Calculus, mathematical statistics and industrial mathematics are prerequisite. | |||
| Study outside of Class (preparation and review) | Explained in the class. | |||
| Textbooks | Textbooks/References | Mathematics for architectural engineering, (in Japanese), Katoh, Hokoi, Takahashi, Ohsaki, (Asakura Shoten,), ISBN:978-4-254-11636-6 | ||
| Related URL | ||||
