課程資訊

Calculus (general Mathematics) (a)(2)

101-2

MATH1202

201 101A2

07

Ceiba 課程網頁
http://ceiba.ntu.edu.tw/1012MATH1202_07

☆上課時間：07-10 班 三 78 五 12 、 實習課時間：三 9。
11 班 二 78 四 56 、 實習課時間：二 9。
☆各班實習課分組教室：將公告於微積分甲統一教學網站公佈。
☆微積分甲統一教學網站：http://www.math.ntu.edu.tw/~mathcal/a/ 。
☆各班助教 Office Hour 時間：將公告於微積分甲統一教學網站公佈。
☆習題：習題繳交與否依各授課教師規定；習題解答將於公佈於微積分甲統一教學網站。
☆期中、期末考題目以英文命題。

Reference material ( textbook(s) )：
Calculus: One And Several Variables, tenth edition.

Course prerequisite：
High School Mathematics

Office Hours

Reference material ( textbook(s) )：
Calculus: One And Several Variables, tenth edition.

Reference material ( textbook(s) )：
Calculus: One And Several Variables, tenth 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 2/20,2/22 [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. 第2週 2/27,3/01 [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. 第3週 3/06,3/08 [13.3] The Dot Product.
[13.4] The Cross Product.
[13.5] Lines.
[13.6] Planes.
[13.7] Higher Dimensions. 第4週 3/13,3/15 [14.1] Limit, Continuity, Vector Derivative.
[14.2] The Rules of Differentiation.
[14.3] Curves.
[14.4] Arc Length. 第5週 3/20,3/22 [14.5] Curvilinear Motion; Curvature.
[14.6] Vector Calculus in Mechanics. 第6週 3/27,3/29 [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. 第7週 4/03,4/05 Holiday 第8週 4/10,4/12 [16.1] Differentiability and Gradient.
[16.3] The Mean-Value Theorem; the Chain Rule. 第9週 4/17,4/19 [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. 第10週 4/24,4/26 [16.8] Differentials.
[16.9] Reconstructing a Function from Its Gradient.
4/27(六) 13:30 ~ 16:00期中考 考試範圍 12.1~16.3 (英文命題). 第11週 5/01,5/03 [17.1] Multiple-Sigma Notation.
[17.2] Double Integrals.
[17.3] The Evaluation of Double Integrals by Repeated Integrals. 第12週 5/08,5/10 [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. 第13週 5/15,5/17 [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. 第14週 5/22,5/24 [18.2] The Fundamental Theorem for Line Integrals.
[18.3] Work-Energy Formula; Conservation of Mechanical Energy. 第15週 5/29,5/31 [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. 第16週 6/05,6/07 [18.7] Surface Integrals.
[18.8] The Vector Differential Operator.
[18.9] The Divergence Theorem.
[18.10] Stokes’s Theorem. 第17週 6/12,6/14 Holiday
Buffer time