| 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 |
The main goal of this course is to prepare freshman majoring in mathematics with some taste of the beauty of Mathematics. The other objective is to prepare them the ability to read mathematical literature written in English and, moreover, the ability to write proofs in English.
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| 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 |
Basic English, Sets, Logic |
| 第2週 |
Basic Relations, Orders, Functions (I) |
| 第3週 |
Basic Relations, Orders, Functions (II) |
| 第4週 |
Basic Groups, Rings, Fields |
| 第5週 |
The set of Real numbers (I) |
| 第6週 |
The set of Real numbers (II) |
| 第7週 |
Midterm exam |
| 第8週 |
Metric spaces (I) |
| 第9週 |
Metric spaces (II) |
| 第10週 |
Continuous functions (I) |
| 第11週 |
Continuous functions (II) |
| 第12週 |
Sequences of real numbers (I) |
| 第13週 |
Final exam |
| 第14週 |
Sequences of real numbers (II) |
| 第15週 |
Affine spaces and Affine Varieties (I) |
| 第16週 |
Affine spaces and Affine Varieties (II) |
自主學習
內容 |
02.閱覽產業及學術相關多媒體資料
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| 學習評量方式 |
Participation and in-class quizzes or homework exercises 56%:
If you attend the class, you take the in-class quizzes to obtain 4 points for the week.
Otherwise, you hand in homework exercises to obtain 4 points for the week. The homework assignment will be posted on I-learning. The assignment for each week is due on the Wednesday 6:00pm of the next week. There is no meeting for the final week. Free 4 points will be given for that week. The maximum points you can obtain from homework exercises is 12.
Midterm exam 22%: Cover materials from Week 2 to Week 6
Final exam 22%: Cover materials from Week 8 to Week 12
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| 教科書＆參考書目(書名、作者、書局、代理商、說明) |
No required textbook, but here are some suggested references:
1. Hangout for each week will be uploaded on I-Learning.
2. Foundations of Higher Mathematics by Peter Fletcher, C. Wayne Patty, Third Edition
3. Introduction to Analysis by William R. Wade, Fourth Edition
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| 課程教材（教師個人網址請列在本校內之網址） |
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| 課程輔導時間 |
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| 聯合國全球永續發展目標(連結網址) |
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