課程資訊

Calculus (general Mathematics) (a)(2)

101-2

MATH1202

201 101A2

09

Ceiba 課程網頁
http://ceiba.ntu.edu.tw/1012chuang

[12.1] Sigma Notation.
[12.2] Infinite Series.
[12.3] The Integral Test; Basic Comparison, Limit Comparison.
[12.4] The Root Test; The Ratio Test.
[12.5] Absolute and Conditional Convergence; Alternating Series.
[12.6] Taylor Polynomials in x; Taylor Series in x.
[12.7] Taylor Polynomials and Taylor Series in x–a.
[12.8] Power Series.
[12.9] Differentiation and Integration of Power Series.
[13.3] The Dot Product.
[13.4] The Cross Product.
[13.5] Lines.
[13.6] Planes.
[13.7] Higher Dimensions.
[14.1] Limit, Continuity, Vector Derivative.
[14.2] The Rules of Differentiation.
[14.3] Curves.
[14.4] Arc Length.
[14.5] Curvilinear Motion; Curvature.
[14.6] Vector Calculus in Mechanics.
[15.1] Elementary Examples.
[15.3] Graphs; Level Curves and Level Surfaces.
[15.4] Partial Derivatives.
[15.5] Open Sets and Closed Sets.
[15.6] Limits and Continuity; Equality of Mixed Partials.
[16.3] The Mean-Value Theorem; the Chain Rule.
[16.4] The Gradient as a Normal; Tangent Lines and Tangent Planes.
[16.5] Local Extreme Values.
[16.6] Absolute Extreme Values.
[16.7] Maxima and Minima with Side Conditions.
[16.8] Differentials.
[16.9] Reconstructing a Function from Its Gradient.
[17.1] Multiple-Sigma Notation.
[17.2] Double Integrals.
[17.3] The Evaluation of Double Integrals by Repeated Integrals.
[17.4] The Double Integral as the Limit or Riemann Sums; Polar Coordinates.
[17.5] Further Applications of Double Integration.
[17.6] Triple Integrals.
[17.7] Reduction to Repeated Integrals.
[17.8] Cylindrical Coordinates.
[17.9] The Triple Integral as the Limit of Riemann Sums; Spherical Coordinates.
[17.10] Jacobians; Changing Variables in Multiple Integration.
[18.1] Line Integrals.
[18.2] The Fundamental Theorem for Line Integrals.
[18.3] Work-Energy Formula; Conservation of Mechanical Energy.
[18.4] Another Notation for Line Integrals; Line Integrals with Respect to Arc Length.
[18.5] Green’s Theorem.
[18.6] Parametrized Surfaces; Surface Area.
[18.7] Surface Integrals.
[18.8] The Vector Differential Operator .
[18.9] The Divergence Theorem.
[18.10] Stokes’s Theorem.

High School Mathematics

Office Hours

James Stewart, Calculus Early Transcendentals, 6th edition.

(僅供參考)

 No. 項目 百分比 說明 1. 期中考 40% 2. 期末考 40% 3. 平時成績 20% 小考、實習課表現

 課程進度
 週次 日期 單元主題 第1週 2/20,2/22 12.1~12.5 第2週 2/27,3/01 12.6~12.9 第3週 3/06,3/08 13.3~13.7 第4週 3/13,3/15 14.1~14.4 [Quiz 1] 3/13 12.1~12.9 第5週 3/20,3/22 14.5~14.6 第6週 3/27,3/29 15.1~15.6 [Quiz 2] 3/27 13.3~14.6 第7週 4/03,4/05 (Holiday) 第8週 4/10,4/12 16.1~16.3 第9週 4/17,4/19 16.4 [Quiz 3] 4/17 15.1~16.3 第10週 4/24,4/26 16.5~16.9 [Midterm] 4/27 12.1~16.3 第11週 5/01,5/03 17.1~17.3 第12週 5/08,5/10 17.4~17.7 第13週 5/15,5/17 17.8~18.1 [Quiz 4] 5/15 16.4~16.9 第14週 5/22,5/24 18.2~18.3 [Quiz 5] 5/22 17.1~17.10 第15週 5/29,5/31 18.4~18.6 第16週 6/05,6/07 18.7~18.10 [Quiz 6] 6/5 18.1~18.5 第17週 6/12,6/14 Buffer time. [Final] 6/16 16.4~18.10