基本素養 Basic Literacy
□ 倫理及人文素養
Ethics and humanities
□ 誠信與務實素養
Integrity and pragmatic literacy
□ 環保與社會關懷
Environmental and social care
□ 國際視野
Possessing the ability of global view
核心能力 Competence
□ 運用數學、科學及工程知識的能力。
Apply knowledge of mathematics, science & engineering.
□ 設計與執行實驗，以及分析與解釋數據的能力。
Design & operation of experiments, analysis and interpretation of data.
□ 執行船舶或機電工程實務所需技術、技巧及使用現代工具的能力。
Necessary Technology, skill & modern tool usage for naval or mechatronic engineering.
□ 設計船舶或機電工程系統、元件或製程的能力。
Design systems, components or processes for naval or mechatronic engineering.
□ 計畫管理（含經費規劃）、有效溝通、領域整合與團隊合作的能力。
Project Management, effective Communication, and multidisciplinary teamwork.
□ 發掘、分析、應用船舶或機電研究成果及解決相關工程問題的能力。
Identify, formulate & solve engineering problems using reasoning of naval or mechatronic engineering.
□ 關懷國內外工程時事議題，瞭解工程技術對環境、社會及全球的影響，並培養持續學習的習慣與能力。
Interested in global current issues, understand the impact of engineering techniques in societal, environmental and global contexts, and develop habit of life-long learning.
□ 理解及應用專業倫理，認知社會責任及尊重多元觀點。
Respect for multi-perspective, understand professional ethics & recognize social responsibilities of engineers.
課程概述 Course Description
本課程以微積分(一)的 觀念為基礎，我們將討論在多維空間中函數的微分和積分。我們亦討論向量值函數和多變量的函數。This class is a continuation of Calculus (1) , we will mainly discuss the differentiation and integration of functions in hyperspace. We will discuss vector-valued functions and functions of several variables.
課程學習目標 Course Objectives
課程進度 Progress Description
| 進度說明 Progress Description | |
|---|---|
| 1 | series, sequences, integral test, comparison test (11.1~11.4) |
| 2 | alternating series, absolute convergence, ratio/root test, power series (11.5,11.6,11.8) |
| 3 | representations of functions as power series, Taylor and Maclaurin series (11.9~11.10) |
| 4 | calculus with parametric curves, polar coordinates (10.1~10.3) |
| 5 | areas and lengths in polar coordinates, 3D spaces, vectors (10.4, 12.1~12.2) |
| 6 | dot products, cross products (12.3~12.4), holiday (April 1) |
| 7 | holiday (April 5), , equations of lines and planes (12.5), |
| 8 | cylinders and quadric surfaces (12.6), functions of several variables, limits and continuity (14.1~14.2) |
| 9 | partial derivatives, tangent planes and linear approximations (14.3~14.4), MIDTERM EXAM (April 22) |
| 10 | chain rule, directional derivatives and gradient vector (14.5~14.6) |
| 11 | maximum and minimum values, Lagrange multipliers (14.7~14.8) |
| 12 | double integrals, iterated integrals (15.1~15.3) |
| 13 | double integrals in polar coordinates, surface area (15.4,15.6) |
| 14 | triple integrals in Cartesian and cylindrical coordinates (15.7~15.8) |
| 15 | triple integrals in spherical coordinates (15.9), change of variables in multiple integrals (15.10) |
| 16 | overview of vector functions (chap 13), holiday (June 10) |
| 17 | overview of vector calculus (chap 16) |
| 18 | FINAL EXAM (June 21) |
以上每週進度教師可依上課情況做適度調整。The schedule may be subject to change.
有關課程其他調查 Other Surveys of Courses
1.本課程是否規劃業界教師參與教學或演講? 否Is there any industry specialist invited in this course? How many times? No
2.本課程是否規劃含校外實習(並非參訪)? 否
Are there any internships involved in the course? How many hours? No