課程資訊

CALCULUS (GENERAL MATHEMATICS) (A)(1)

99-1

MATH1201

201 101A1

07

Ceiba 課程網頁
http://ceiba.ntu.edu.tw/991math_calculus

1. 按時上課(含習題課), 繳交作業以及參加考試.
2. 培養課前課後閱讀能力.

Office Hours

Courant and Robbins: What is Mathematics?
http://www.oup.com/us/catalog/general/subject/Mathematics/?view=usa&ci=9780195105193

(Remark: This is the best Claculus textbook for all time.)

(僅供參考)

 No. 項目 百分比 說明 1. 平時小考及作業 40% 每週習題課前 25 至 30 分鐘考前一週授課範圍的習題, 以及包含當週星期二在內的上課內容. 並於考前繳交作業. 2. 期末考 35% Chapter 4 to 8. 3. 期中考 35% Chapter 1 to 3.

 課程進度
 週次 日期 單元主題 第1週 9/14,9/16 9/14: Introduction. 9/16: 1.1 - 1.2 Real numbers and continuous functions. 第2週 9/21,9/23 9/21: 1.3 - 1.6 Sequences and Limits. 9/23: 1.7 - 1.8 Limits for continuous functions. 第3週 9/28,9/30 9/28: Supplement for Ch.1. 9/30: 2.1 - 2.7 Integrals, log and exponential. 第4週 10/05,10/07 10/05: 2.8 Derivatives and mean value theorem. 10/07: 2.9 Fundamental Theorem of Calculus. 第5週 10/12,10/14 10/12: 3.1 - 3.3 Lebnitz rule and Chain rule. 10/14: 3.4 - 3.5 More exponential. Hyperbolic functions. 第6週 10/19,10/21 10/19: 3.6 Max and Min. Appendix - Special functions and differentiability. 10/21: 3.8 - 3.10 Integration by substitution. 第7週 10/26,10/28 10/26: 3.11 Integration by parts. 10/28: 3.12 - 3.13 Integration of rational functions. 第8週 11/02,11/04 11/02: 3.14 - 3.16 Special integrals. 11/04: Review. 第9週 11/09,11/11 11/09: Midterm Exam. Chapter 1 to 3. 11/11: 4.1 - 4.2 Plane curves, arc length, and area. 第10週 11/16,11/18 11/16: 4.3 - 4.4 Plane motion. 11/18: 4.5 - 4.9 Newton's law, work and energy. 第11週 11/23,11/25 11/23: 5.1 - 5.4 Taylor expansion. 11/25: 5.5 - 5.6 Examples and Appendix I. 第12週 11/30,12/02 11/30: Appendix II and 6.1 Numerical integration. 12/02: 6.2 - 6.3 Newton's method and Appendix - Stirling formula. 第13週 12/07,12/09 12/07: 7.1 - 7.2 Convergence and tests. 12/09: 7.3 - 7.4 Uniform convergence. 第14週 12/14,12/16 12/14: 7.5 - 7.7 Power series. 12/16: Appendix - More examples and infinite products. 第15週 12/21,12/23 12/21: 8.1 - 8.3 Periodic functions. 12/23: 8.4 - 8.5 Fourier series. Examples and convergence. 第16週 12/28,12/30 12/28: 8.6 Further convergence. Weierstrass' approximation. 12/30: 8.7 Fejer's theorem. Parseval's identity. 第17週 1/04,1/06 1/04: Review. 1/06: Review. (1/13: Final Exam. Chapter 4 to 8.)