Appleid Mathematics A3
| Numbering Code |
U-ENG29 32070 LJ10 U-ENG29 32070 LJ55 |
Year/Term | 2022 ・ First semester | |
|---|---|---|---|---|
| Number of Credits | 2 | Course Type | Lecture | |
| Target Year | Target Student | |||
| Language | Japanese | Day/Period | Wed.1 | |
| Instructor name | YAGASAKI KAZUYUKI (Graduate School of Informatics Professor) | |||
| Outline and Purpose of the Course | Fourier analysis originated in Fourier's work on thermal conduction and now becomes very important not only in mathematics but also in engineering, including applications in measurement technology. This course provides its theories and applications along with the Laplace transforms closely related to it. | |||
| Course Goals | To understand the fundamental theories of Fourier analysis and Laplace transforms and develop an ability to apply them to concrete problems. | |||
| Schedule and Contents |
Fourier series expansions, 3-4 times: The definition of Fourier series expansions for periodic functions are given and their fundamental results such as computation of Fourier coefficients and convergence of Fourier series are discussed. Properties and applications of Fourier series, 3-4 times: Several properties of Fourier series and their applications to differential and difference equations and signal processing are discussed. One-dimensional Fourier transform, 4-5 times: The definition of one-dimensional Fourier transforms is given, and their fundamental properties such as the inversion formula and applications to partial differential equations are discussed. Laplace transforms, 2-3times: Fundamental properties of Laplace transforms and their applications are discussed. Summary and learning achievement evaluation, 1 time: A summary and supplements of this course are given and the learning achievement of students is evaluated. |
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| Evaluation Methods and Policy | Evaluation depends mainly on marks of mid-term examinations (20%) and final one (80%). | |||
| Course Requirements | Calculus, Linear Algebra and Differential Equations | |||
| Study outside of Class (preparation and review) | Prepare and review the lectures and solving the problems given on KULASIS or PANDA to understand the contents of the textbook and lectures. | |||
| Textbooks | Textbooks/References | Fourier Analysis, S. Nakamura, (Asakura shoten, 2003), ISBN:9784254115741 | ||
| References, etc. | Mathematics of control and vibration, H.Fukawa, (Korona-sha) | |||
| Related URL | ||||
