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 |
Cultivate students the integration techniques and calculations of antiderivatives of Functions. Students can explain the meaning of the convergence and divergence of sequences and series. |
1.數理基礎知識 |
7.數學及統計軟體能力 |
8.英文語言能力 |
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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18週) |
週次 |
授課內容 |
第1週 |
Review of Differentiation Rules
Antiderivatives
Chapter 5: Integrals
Areas and Distances |
第2週 |
The Definite Integral |
第3週 |
The Fundamental Theorem of Calculus
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第4週 |
Indefinite Integrals
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第5週 |
The Substitution Rule
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第6週 |
Chapter 7: Techniques of Integration
Integration by Parts
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第7週 |
Trigonometric Integrals |
第8週 |
Integration of Rational Functions by Partial Fractions |
第9週 |
Midterm Exam |
第10週 |
Strategies for Integration |
第11週 |
Improper Integrals |
第12週 |
Chapter 11 Infinite Sequences and Series
Sequences |
第13週 |
Series |
第14週 |
The Integral Test |
第15週 |
The Comparison Tests
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第16週 |
The Ratio and Root Tests
Alternating Series |
第17週 |
Strategy for Testing Series
Power Series |
第18週 |
Final Exam
Note: The content and progress of the lessons will be adjusted according to the situation of the class. |
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學習評量方式 |
Attendance and performance: 25%
Homework: 15%
Midterm Exam: 30%
Final Exam: 30% |
教科書&參考書目(書名、作者、書局、代理商、說明) |
James Stewart, Calculus(Early Transcendentals), International Metric Edition 8th ed., Cengage Learning, 2016. |
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 |
TBA |
聯合國全球永續發展目標 |
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