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

  • multivariate derivations
  • multiple integrals
  • sequence and series
  • 課程進度 Progress Description

    進度說明 Progress Description
    1series, sequences, integral test, comparison test (11.1~11.4)
    2alternating series, absolute convergence, ratio/root test, power series (11.5,11.6,11.8)
    3representations of functions as power series, Taylor and Maclaurin series (11.9~11.10)
    4calculus with parametric curves, polar coordinates (10.1~10.3)
    5areas and lengths in polar coordinates, 3D spaces, vectors (10.4, 12.1~12.2)
    6dot products, cross products (12.3~12.4), holiday (April 1)
    7holiday (April 5), , equations of lines and planes (12.5),
    8cylinders and quadric surfaces (12.6), functions of several variables, limits and continuity (14.1~14.2)
    9partial derivatives, tangent planes and linear approximations (14.3~14.4), MIDTERM EXAM (April 22)
    10chain rule, directional derivatives and gradient vector (14.5~14.6)
    11maximum and minimum values, Lagrange multipliers (14.7~14.8)
    12double integrals, iterated integrals (15.1~15.3)
    13double integrals in polar coordinates, surface area (15.4,15.6)
    14triple integrals in Cartesian and cylindrical coordinates (15.7~15.8)
    15triple integrals in spherical coordinates (15.9), change of variables in multiple integrals (15.10)
    16overview of vector functions (chap 13), holiday (June 10)
    17overview of vector calculus (chap 16)
    18FINAL 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