工程數學(一)
Engineering Mathematics (I)
| 節 | 週二 | 週三 |
|---|---|---|
2 09:00–09:50 | 工程數學(一) EE130 | |
3 10:10–11:00 | 工程數學(一) EE130 2 節連堂 | |
4 11:10–12:00 |
* 根據陽明交大上課時間表所列
This is the first half of Engineering Mathematics designed to be a full academic year course. This course establishes (i) the fundamentals of engineering-related mathematics and (ii) expectations regarding engineering professionalism for sophomore students. Ordinary differential equations and Laplace transforms will be covered in this course. The course will be application-centric.
Prerequisite: Calculus. Proficiency in basic graphing using software such as Excel or alternatives. Proficiency in writing reports (in English) using professional formats.
• Supporting course materials will be available on e3 including, lecture notes. Class will be taught at reasonable English level. • Arrive to class on time and to stay for the entire class period (or until dismissed) because random arrivals and exits are disrespectful and distracting. This includes online classes (late-comer will not be admitted into class). • All cell phones, smartphones, and other electronic devices (e.g., pagers, iPods) must be turned off (or on vibrate) and hidden from view during class time. • Laptop and tablet computers are allowed for (quiet) note taking only: i.e., other activities such as checking personal e-mail or browsing the Internet are prohibited. • Prepare for each class meeting and participate actively in discussion and activities. • Only projects will be graded. Suggested homework questions are to be completed on own volition and are not graded. Solutions will be provided. All late submissions will not be accepted without prior notice. • Be respectful of the views of other students.
• 20 % Midterm 1 + Correction bonus • 25 % Midterm 2 + Correction bonus • 25 % Final Exam • 15 % Project 1 • 15 % Project 2
| 週次 | 主題 |
|---|---|
| 第 1 週 | Ch1: First-Order ODEs-Class introduction-Basic concepts-Separable ODEs -Exact ODEs |
| 第 2 週 | Ch1: First-Order ODEs-Integrating Factors-Linear ODEs |
| 第 3 週 | Ch2: Second-Order ODE-Homogeneous linear ODEs-Case 1: Constant coefficients-Case 2: Cauchy-Euler form |
| 第 4 週 | Ch2: Second-Order ODE-Case 3: Nonhomogeneous form |
| 第 5 週 | Midterm 1 reviewMidterm 1 |
| 第 6 週 | Midterm 1 correctionCh3: Higher-Order ODE-Homogeneous linear ODEs-Case 1: constant coefficients |
| 第 7 週 | Ch3: Higher-Order ODE-Case 2: Non-homogeneous form-Discussion about applications and examples |
| 第 8 週 | Ch4: Systems of ODEs-Basic of matrices and vectors-Eigenvalues and eigenvectors |
| 第 9 週 | CH4: Systems of ODE-Discussion: system of ODE's in engineering applications-Eigenvalue solution method |
| 第 10 週 | CH4: Systems of ODE-Basis, Wronskian and other theories |
| 第 11 週 | Chapter 5: Power Series Solutions of ODEs -Power series method -Discussion and examples -11/21: Project 1 due |
| 第 12 週 | 11/29: Midterm 2 |
| 第 13 週 | Midterm correction 訂正加分 Ch5: Series Solutions to ODE--12/5: -Legendre's equation -Frobenius method |
| 第 14 週 | Ch5: Series Solutions to ODE-Discussion and examples-Bessel equations |
| 第 15 週 | Ch6: Laplace Transform-Laplace transform basics |
| 第 16 週 | Ch6: Laplace Transform-Laplace shifting theorem-Examples |
| 第 17 週 | Ch6: Laplace Transform-Special case: Variable coefficients and systems of ODE |
| 第 18 週 | 1/9 - Project 2 due 1/10 - Final Exam |
"Advanced Engineering Mathematics" by Erwin Kreyszig, 10th Ed., 2011. ※ Taiwan edition. ※ Please don't make copies in any form.
- 地點
- EE454
- 時間
- By appointment.
- 聯絡方式
- tanzu@nctu.edu.tw