## 基本素養 Basic Literacy

Spirit of Humanism

Civic Concern

Engineering Ethics

Environmental and Social Caring

Global vision

## 核心能力 Competence

The ability to apply the knowledge of mathematics, science and technology.

The abilities to design and implement experiments, as well as to analyze and interpret data.

Possessing the skills, rules and tools to execute hydraulic and ocean engineering operation.

The skills to design, construct, maintain and manage Hydraulic and Ocean systems.

The abilities of project management, effective communication and team work.

The abilities to search, analyze and solve problems.

Be aware of current global issues, understand how engineering technology influences the environment, community and the world, as well as develop self-learning habits and abilities.

Understanding professional ethics and social responsibility.

## 課程概述 Course Description

Based on the previous course , we discuss both differential calculus and integral calculus in multidimensional real spaces. We consider vector-valued functions and functions of several variables.

## 課程學習目標 Course Objectives

• Infinite series
• Partial derivatives
• Multiple integrals
• Vector calculus
• ## 課程進度 Progress Description

進度說明 Progress Description
1Separable and linear differential equations; Sequences
2Series; Improper integrals; Integral test
3Comparison tests; Alternating series; Ratio and root tests
4Power series; Taylor and Maclaurin series
5Dot and cross products; Equations of lines and planes
6Vector functions
7Functions of several variables
8Limits and Continuity; Partial derivatives; Chain rule
9Midterm examination; Directional derivatives
10Extrema
11Lagrange multipliers
12Double integrals
13Triple integrals; Spherical coordinates; Jacobian
14Line integrals; Conservative vector fields; Green's Theorem
15Curl; Divergence; Surface integrals
16Stokes' Theorem
17Divergence Theorem
18Final examination
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
3.本課程是否可歸認為學術倫理課程? 否
Is this course recognized as an academic ethics course? In the course how many hours are regarding academic ethics topics? No
4.本課程是否屬進入社區實踐課程? 否
Is this course recognized as a Community engagement and Service learning course? Which community will be engaged? No