| 課程與核心能力關聯配比(%) |
課程目標之教學方法與評量方法 |
| 課程目標 |
核心能力 |
配比(%) |
教學方法 |
評量方法 |
| n addition to the methods and calculations of differential and integral, the focus of this course is on the understanding of basic concepts. For example, the mean value theorem, the extreme value theorem, etc. These theorems not only have their own application value, but also have very important mathematical meanings behind them. Knowing these ideas, we can not only generalize and apply these theorems, but also, when we are faced with more complex problems, use these basic mathematical ideas as a basis or as an analogy for the initial heuristics of solving problems. |
| 1.A.物理、化學、數學及生物等基本知識。 |
| 2.B.規劃與執行實驗、評析問題與闡釋數據之能力。 |
| 3.C.解決環境污染及促進永續發展之工程專業知識及應用工具之能力。 |
| 4.D.具備環境工程設計之能力。 |
| 6.F.獨立思考、研發創新與解決問題之能力。 |
|
|
|
|
| 授課內容(單元名稱與內容、習作/每週授課、考試進度-共16週加自主學習) |
| 週次 |
授課內容 |
| 第1週 |
Functions and infinity |
| 第2週 |
3 Rules for determining limits |
| 第3週 |
Continueous functions and slopes |
| 第4週 |
Derivatives from geometry and arithmetic principle on derivatives |
| 第5週 |
The chain rule on derivatives |
| 第6週 |
Exponential functions and its inverses |
| 第7週 |
Linear approximations and its applications |
| 第8週 |
Mid exam |
| 第9週 |
Finding extreme values and mean value theorem |
| 第10週 |
Drawing the graph of a function and applications of derivatives |
| 第11週 |
Antiderivatives and area of a region |
| 第12週 |
Definite integrals |
| 第13週 |
Fundamental theorem of calculus |
| 第14週 |
Indefinite integrals and changing variables |
| 第15週 |
Area between closed curves and volume by integrals |
| 第16週 |
Final exam
自主學習: Revist exam
自主學習: Reading |
自主學習
內容 |
|
|
| 學習評量方式 |
1. Mid exam 30%;
2. Final exam 40%;
3. Exercises and tests 30%
|
| 教科書＆參考書目(書名、作者、書局、代理商、說明) |
| Textbook: Calculus, Metric Version 9E、Stewart, Clegg, Watson |
| 課程教材（教師個人網址請列在本校內之網址） |
| PPTs and videos via ilearning |
| 課程輔導時間 |
| 13:00-14:00 Mon. |
| 聯合國全球永續發展目標(連結網址) |
|
|