課程資訊

Calculus (general Mathematics) (a)(1)

102-1

MATH1201

201 101A1

11

Ceiba 課程網頁
http://ceiba.ntu.edu.tw/1021cal11

One variable calculus

Study the process of approximation and its limitation (errors), learn the tools and techniques for analyzing regular mappings with applications, and deepen the understanding of elementary functions.

High School Mathematics
Office Hours

Textbook
James Stewart: Calculus, Early Transcendentals. 7th edition.

(僅供參考)

 No. 項目 百分比 說明 1. 平時成績 20% 2. 期中考 40% 3. 期末考 40%

 課程進度
 週次 日期 單元主題 第1週 9/10,9/12 1.5, 1.6 (exponential functions, logarithms, and inverse trig. fnt.), 2.2-2.4 (definitions of one and two sided limits, and limit laws) 第2週 9/17,9/19 2.5 Continuity 第3週 9/24,9/26 2.6 limits at infinity, 2.7, 2.8, 3.1 derivatives of polynomials and exponential functions, 3.2 differentiation rules, 3.3 第4週 10/01,10/03 10/01 quiz up to 3.1, 3.4 the chain rule, 3.5 implicit differentiation 第5週 10/08,10/10 3.6 derivatives of logarithmic functions, 3.8 exponential growth and decay 第6週 10/15,10/17 (quiz up to 3.6) 3.9 related rates, 3.10 linear approximations and differentials, 4.1, 4.2 (Cauchy's) mean value theorem 第7週 10/22,10/24 4.3, 4.4 L'Hospital's rule, 4.5 summary of curve sketching, 4.7 optimization problems. 第8週 10/29,10/31 (quiz. range: 3.8 ~ 3.10, 4.1 ~ 4.4 ) 4.9, 5.1 - 5.5 the definite integral, fundamental theorem of calculus, and the substitution rule 第9週 11/05,11/07 (No quiz) 6.1 areas between curves, 6.2 volumes. 11/09 (Sat.) 9:00 - 11:30am midterm 第10週 11/12,11/14 6.3 volumes by cylindrical shells, (6.5), 7.1 integration by parts, 7.2 trigonometric integrals. 第11週 11/19,11/21 7.3 trigonometric substitution, 7.4 integration of rational functions 第12週 11/26,11/28 (quiz up to first half of 7.2) 7.5, 7.8 improper integrals 第13週 12/03,12/05 (quiz up to 7.8) 8.1 arc length, 8.2 surface area, 8.3 pressure and center of mass 第14週 12/10,12/12 9.1, 9.2, 9.3 separable equations, 9.4, 9.5 linear equations 第15週 12/17,12/19 (quiz on 8.1, 8.2, 8.3 and 9.3) 10.1, 10.2 calculus with parametric curves, 10.3 polar coordinates 第16週 12/24,12/26 10.4 Areas and lengths in polar coordinates 第17週 12/31,1/02 No class and recitation on 12/31. A quiz up to 10.4 on 1/2 at classroom 102