Engineering Mathematics I - 97 Academic Year
本課程是由 國立陽明交通大學機械工程程學系提供。
本課程的目標是為建立大學生在機械工程的數學能力，課程內容將介紹工程數學的基本概念與範例。
Textbook：Wylie, C. R. and Barrett, L. C., Advanced Engineering Mathematics, 6th ed., McGraw-Hill, 1995.
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| Instructor(s) | Department of Mechanical Engineering Prof. Ming-Sian Bai |
|---|---|
| Course Credits | 3 Credits |
| Academic Year | 97 Academic Year |
| Level | Sophomore |
| Prior Knowledge | Calculus |
| Related Resources | Course Video Course Syllabus Course Calendar |
| Week | Course Content | Course Video |
|---|---|---|
| 第一章 Ordinary Differential Equations (ODE) 課程介紹 | Watch Online | |
| Exact 1st order equations Separable 1st order equations | Watch Online | |
| Homogeneous 1st order equations Linear 1st order equations | Watch Online | |
| Nonohomogeous equations(1/2) | Watch Online | |
| Nonohomogeous equations(2/2) | Watch Online | |
| Variation of parameters 2nd order equations Differential equations with constant coefficients & Applications | Watch Online | |
| 第二章 Linear Algebra System of linear equations Determinants | Watch Online | |
| Vector spaces(1/5) | Watch Online | |
| Vector spaces(2/5) | Watch Online | |
| Vector spaces(3/5) | Watch Online | |
| Vector spaces(4/5) | Watch Online | |
| Vector spaces(5/5) | Watch Online | |
| Linear transformatio Eigenvalue problems | Watch Online | |
| Quadratic forms Applications | Watch Online | |
| 第三章 Laplace Transform Convergence of Laplace transform | Watch Online | |
| Special functions | Watch Online | |
| Properties(1/2) | Watch Online | |
| Properties(2/2) | Watch Online | |
| Convolution theorem | Watch Online | |
| Application to system theory | Watch Online | |
| 第四章 Fourier Series and Transform Fourier series | Watch Online | |
| Half-range expansion | Watch Online | |
| Applications of Fourier series | Watch Online | |
| Fourier transform | Watch Online | |
| Properties | Watch Online | |
| Applications | Watch Online |
課程目標
本課程的目標是為建立大學生在機械工程的數學能力，課程內容將介紹工程數學的基本概念與範例。
課程章節
| 章節 | 章節內容 |
| 第一章 Ordinary Differential Equations (ODE) | Exact 1st order equations Separable 1st order equations Homogeneous 1st order equations Linear 1st order equations Nonohomogeous equations Variation of parameters 2nd order equations Differential equations with constant coefficients Applications |
| 第二章 Linear Algebra | System of linear equations Determinants Vector spaces Linear transformation Eigenvalue problems Quadratic forms Applications |
| 第三章 Pure Substance Behavior | Convergence of Laplace transform Special functions Properties Convolution theorem Application to system theory |
| 第四章 Energy Transfer | Fourier series Half-range expansion Applications of Fourier series Fourier transform Properties Applications |
課程書目
Wylie, C. R. and Barrett, L. C., Advanced Engineering Mathematics, 6th ed., McGraw-Hill, 1995.
參考書目
Kreszig, E., Advanced Engineering Mathematics, 9th ed., Prentice-Hall, 2006.
Greenberg, M. D., Advanced Engineering Mathematics, 2nd ed., John-Wiley, 1998.
Noble, B. and Daniel, J. W., Applied Linear Algebra, 3rd., Prentice-Hall, 1988.
Haberman, R., Elementary Applied Partial Differential Equations, Prentice-Hall, 1987.
評分標準
| 項目 | 百分比 |
| 作業 | 40% |
| 期中考 | 30% |
| 期末考 | 30% |
本課程行事曆提供課程進度與考試資訊參考。
學期週次 | 上課日期 | 參考課程進度 |
第一週 | 09/14- 09/20 |
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| 第二週 | 09/21-09/27 |
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| 第三週 | 09/28-10/04 |
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| 第四週 | 10/05-10/11 |
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| 第五週 | 10/12-10/18 |
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| 第六週 | 10/19-10/25 |
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| 第七週 | 10/26-11/01 |
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| 第八週 | 11/02-11/08 |
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| 第九週 | 11/09-11/15 |
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| 第十週 | 11/16-11/22 |
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| 第十一週 | 11/23-11/29 |
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| 第十二週 | 11/30-12/06 |
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| 第十三週 | 12/07-12/13 |
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| 第十四週 | 12/14-12/20 |
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| 第十五週 | 12/21-12/27 |
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| 第十六週 | 12/28-01/03 |
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| 第十七週 | 01/04-01/10 |
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| 第十八週 | 01/11-01/17 |
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COURSE
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