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.
(Subject to change) • 20 % Midterm 1 + Correction bonus • 25 % Midterm 2 + Correction bonus • 25 % Final Exam • 15 % Project 1 • 15 % Project 2 Projects: to be completed in a group of ≤ 4 students. Midterm/final exam format: o Section 1: 1 page, 1-sided A4 note sheet that will be graded. (10% of exam) o Section 2: Concepts and definitions problems. (~20%) o Section 3: Classical problems. (~30%) o Section 4: Application problems. (~40%) o Correction (midterm only): Students can gain +10pt in exam. Corrections are held on the 1hr class session after midterm. Unless otherwise stated. o No make-up exams will be given. You are expected to structure your schedule to make it to the exams.
| 週次 | 主題 |
|---|---|
| 第 1 週 | ==== CHAPTER 1: 1st-Order ODE ==== 1.1 Basic concepts 1.2 Separable ODE 1.3 Exact ODE |
| 第 2 週 | 1.4 Integrating factors 1.5 Linear ODE |
| 第 3 週 | ***9/17 - HOLIDAY*** ==== CHAPTER 2: 2nd-Order ODE ==== 2.1 Homogeneous Linear ODE 2.1 Case 1: Constant coefficients 2.2 Case 2: Cauchy-Euler form |
| 第 4 週 | 2.3 Case 3: Non-homogeneous form |
| 第 5 週 | ==== CHAPTER 3: Higher-Order ODE ==== 3.1 Homogeneous linear ODE 10/2 **>>>Midterm 1 (typhoon delay +1 week) |
| 第 6 週 | 10/8 **>>>Midterm 1 Correction (typhoon delay + 1 week) |
| 第 7 週 | ==== CHAPTER 4: Systems of ODE ==== 4.1 Basics of matrices and vectors 4.2 Eigenvalue and eigenvectors 4.3 Eigenvalue solution method |
| 第 8 週 | 4.4 Optional: Basis, Wronskian and other theories ==== CHAPTER 5: Power Series Solutions of ODE ==== 5.1 Power series method |
| 第 9 週 | 5.1 Power series method (continue) |
| 第 10 週 | 11/6 **>>> Mini-Midterm 2 (shortened, reduced-scope midterm due to typhoon) |
| 第 11 週 | 11/12 **>>>Midterm 2 Correction |
| 第 12 週 | 5.4 Bessel equations |
| 第 13 週 | ==== CHAPTER 6: Laplace Transforms ==== 6.1 Laplace transform basics |
| 第 14 週 | 6.1 Laplace (continue) |
| 第 15 週 | 6.2 Laplace shifting theorem 6.3 Special case: variable coefficients and systems of ODEs |
| 第 16 週 | **>>>12/18 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@nycu.edu.tw