Applied Mathematics for Engineering F2
| Numbering Code |
U-ENG25 32065 LJ55 U-ENG25 32065 LJ75 |
Year/Term | 2022 ・ First semester | |
|---|---|---|---|---|
| Number of Credits | 2 | Course Type | Lecture | |
| Target Year | Target Student | |||
| Language | Japanese | Day/Period | Tue.2 | |
| Instructor name |
ICHII TAKASHI (Graduate School of Engineering Associate Professor) YUGE KORETAKA (Graduate School of Engineering Associate Professor) |
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| Outline and Purpose of the Course | Fourier analysis, Laplace transform, Linear Algebra and their applications. | |||
| Course Goals | The final goal of this course is to understand basics of Fourier series expansion, Fourier transform, Laplace transform and Linear Algebra, and to learn to make full use of these mathematical tools in analyzing various physical phenomena and solving relevant differential equations. Particular emphasis is placed not on pursuing mathematical rigor but on developing skills to perceive different physical aspects of these tools and select the most appropriate one in practical problem solving. | |||
| Schedule and Contents | Fourier analysis, Laplace transform, Linear Algebra and their applications,15times,Complex numbers and complex analysis (1-2 weeks) -complex numbers and complex functions -complex integrals, residue theorem, and their applicationsDelta function (1 week)Fourier series expansion (2-3 weeks) -periodic functions and their Fourier series expansion -complex Fourier series expansion -applications of Fourier seriesFourier transform (2-3 weeks) -basics of Fourier transform -convolution and correlation function -applications of Fourier transform -linear response systemLaplace transform and its applications (2 weeks) -basics of Laplace transform -applications of Laplace transform to linear systemsLinear Algebra (3-4 weeks) - Vector space - Map and matrixApplications of Fourier transform and Laplace transform (1-2 weeks) | |||
| Evaluation Methods and Policy | The grading is made based on the regular examination. | |||
| Course Requirements | Prerequisite subjects: complex numbers and basic calculus. | |||
| Textbooks | Textbooks/References | Lecture notes are distributed at the class. | ||
| Related URL | ||||
