## 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 concept of limit, we discuss both differential calculus and integral calculus. These will be used as tools to discuss the local and global behavior of real-valued functions.

## 課程學習目標 Course Objectives

• 使學生熟練單變數微分、積分的基本技巧
• 多變數函數微分及機積分
• 數列與級數
• ## 課程進度 Progress Description

進度說明 Progress Description
1Introduction to limit and continuity.
2The Pinching Theorem, Intermediate-Value Theorem and Extreme-Value Theorem.
3Introduction to Derivatives.
4Differential formulas.
5Extreme Values problems.4.4 Endpoint Extreme Values; Absolute Extreme Values 4.5 Some Max-Min Problems. 4.6 Concavity and Points of Inflection.
6Review and have 1st midterm.
7Area problems.
8Definite integrals.
9Properties of Definite Integral.
10Volume by Cross Sections, Disks ,Washers and Shell Methods.
11Inverse functions.
12Review and have 2nd midterm.
13Logarithm and Exponential Function
14Inverse Trigonometric Functions.
15Integration by Parts.
16Integrals Featuring of some Square Roots.
17Rational Functions; Partial Functions.
18Review and have final test.
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