課程資訊

Calculus (general Mathematics) (a)(1)

108-1

MATH1201

201 101A1

10

4.0

Ceiba 課程網頁
http://ceiba.ntu.edu.tw/1081MATH1201_10

Differentiation and Integration, or, collectively, Calculus, on functions of a single variable together with their profound applications in various subject areas are introduced in this course. On differentiation, it includes the definitions of limits and continuity, techniques of differentiation, strategies in solving extreme-value problem and so on; on integration, it includes the definition of integrals, the Fundamental Theorem of Calculus, techniques of integration, finding areas and volumes, solving elementary differential equations and more.
Definitions are discussed and the most important theorems are derived in the lectures with a view to help students to develop their abilities in logical deduction and analysis. Practical applications of Calculus in various fields are illustrated in order to promote a more organic interaction between the theory of Calculus and students' own fields of study. This course also provides tutorial classes in which students are able to make their skills in handling calculations in Calculus more proficient under the guidance of our teaching assistants.

Students would be familiar with Calculus as a tool and be able to apply it in various subjects after finishing this course. "Calculus A (1) and (2)" provide the basis for the study of various advanced courses like Engineering Mathematics, Analysis and Differential Equations.

Students participating in the course should be already skilled in high school mathematics. They are expected to attend and participate actively in lectures as well as discussion sections.

Office Hours

References:
Personal Website of the Instructor: https://serweifumath.wordpress.com/teaching/
Textbook: James Stewart, Calculus Early Transcendentals, 8th edition.
Website of the unified course on Calculus A: http://www.math.ntu.edu.tw/~calc
Episte Math: http://episte.math.ntu.edu.tw/cgi/mathfield.pl?fld=cal
Free online Desmos Graphing Calculator: https://www.desmos.com/calculator

James Stewart, Calculus Early Transcendentals, 8th edition

(僅供參考)

 No. 項目 百分比 說明 1. 平時成績 30% 小考、作業、Webwork、以及上課參與度 2. 期中考 35% 預定11/2週六早上考 3. 期末考 35% 預定1/4週六早上考

 課程進度
 週次 日期 單元主題 第1週 9/09,9/12 預定 1.4, 1.5, 2.1。週五放假。 第2週 9/16,9/19,9/20 預定 2.2, 2.3, 2.4, 2.5, 2.6。 第3週 9/23,9/26,9/27 預定 2.7, 2.8, 3.1, 3.2。Quiz 0 (9/27) 第4週 9/30,10/03,10/04,10/05 9/30 颱風假。預定 3.3, 3.4, 3.5, 3.6, 3.11。週六補假上10/11的課。Quiz 1 (10/4) 第5週 10/07 預定 3.8, 3.9, 3.10。週四與週五放假。Quiz 2 (10/7) 第6週 10/14,10/17,10/18 預定 4.1, 4.2, 4.3, 4.4。Quiz 3 (10/18) 第7週 10/21,10/24,10/25 預定 4.5, 4.7, 4.9。Quiz 4 (10/25) 第8週 10/28,10/31,11/01 預定期中考複習Chapter 1~4。Quiz 5 (11/1) 第9週 11/04,11/07,11/08 預定 5.1, 5.2, 5.3, 5.4, 5.5。Quiz 6 (11/8) 第10週 11/11,11/14 預定 6.1, 6.2, 6.3。週五校慶放假。 第11週 11/18,11/21,11/22 預定 6.5, 7.1, 7.2, 7.3。Quiz 7 & 8 (11/18 & 11/22) 第12週 11/25,11/28,11/29 預定 7.4, 7.5, 7.8。Quiz 9 (11/29) 第13週 12/02,12/05,12/06 預定 8.1, 8.2, 9.1。Quiz 10 (12/6) 第14週 12/09,12/12,12/13 預定 9.3, 9.4, 9.5。Quiz 11 (12/13) 第15週 12/16,12/19,12/20 預定 10.1, 10.2。Quiz 12 (12/20) 第16週 12/23,12/26,12/27 預定 10.3, 10.4。Quiz 13 (12/27) 第17週 12/30,1/02,1/03 預定期末考複習Chapter 5~10。Quiz 14 (1/3)