課程資訊

Calculus (general Mathematics) (a)(1)

106-1

MATH1201

201 101A1

01

4.0

Ceiba 課程網頁
http://ceiba.ntu.edu.tw/1061MATH1201_01

1. Functions and Models
2. Limits and Derivatives
3. Differentiation Rule
4. Applications of Differentiation
5. Integrals
6. Applications of Integration
7. Techniques of Integration
8. Differential Equations
9. Laplace Transform
10. Parametric Equations and Polar Coordinates

After completing this course, students should be well versed in the mathematical language needed for applying the concepts of calculus to numerous applications in science and engineering. They should also be well prepared for courses in differential equations, linear algebra, or advanced calculus.

Students should be skilled in high school math.
Students should attend and participate actively in lectures as well as discussion sections.
Office Hours

Textbook: James Stewart, Calculus Early Transcendentals, 8th edition.

數學知識網站: http://episte.math.ntu.edu.tw/cgi/mathfield.pl?fld=cal
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(僅供參考)

 No. 項目 百分比 說明 1. Midterm 35% Nov 4 (Sat) 9:00-11:30 2. Final 35% Jan 6 (Sat) 9:00-11:30 3. Homework and quizzes 30% There will be weekly homework and 6 quizzes.

 課程進度
 週次 日期 單元主題 第1週 09/11-09/15 Section 1.4, 1.5, 2.1, 2.2 第2週 09/18-09/22 Section 2.3-2.6 李國瑋老師的線上課程 section 2.4 https://goo.gl/eS3HgT 第3週 09/25-09/29 Section 2.7, 2.8, 3.1, 3.2 李國瑋老師的線上課程： Section 3.1 https://goo.gl/i8SabE Section 3.2 https://goo.gl/Y81mSz 第4週 10/02-10/06 Section 3.3, 3.4. Quiz 1 on 10/02 第5週 10/09-10/13 Section 3.5, 3.6, 3.8, 3.9 第6週 10/16-10/20 Section 3.10, 3.11, 4.1, 4.2. Quiz 2 on 10/16 李國瑋老師的線上課程 section 4.1: https://goo.gl/JJgrp0 section 4.2: https://goo.gl/7ZZTDz 第7週 10/23-10/27 Section 4.3-4.5 第8週 10/30-11/03 Section 4.7, 4.9. Quiz 3 on 10/30. Midterm on 11/4. 第9週 11/06-11/10 Section 5.1-5.5 李國瑋老師的線上課程 [5.1] https://goo.gl/XUDqRf [5.2] https://goo.gl/FxDeCy [5.3] https://goo.gl/6jR0y8 第10週 11/13-11/17 Section 6.1-6.3 第11週 11/20-11/24 Section 6.5, 7.1-7.3. Quiz 4 on 11/20. 第12週 11/27-12/01 Section 7.4, 7.5 第13週 12/04-12/08 Section 7.8. Laplace Transform.

Laplace Transform 參考書目：
Dennis Zill and Michael Cullen, "Differential Equations with Boundary-Value Problems," Chapter 7, Brooks/Cole (Cengage Learning), 7e, 2005. 第14週 12/11-12/15 Section 8.1, 10.1, 10.2. Quiz 5 on 12/11. 第15週 12/18-12/22 Section 10.3, 10.4, 9.1, 9.3 第16週 12/25-12/29 Section 9.4, 9.5, 17.1. Quiz 6 on 12/25. 第17週 01/01-01/05 Section 17.2. Final Exam on 01/06.