課程資訊

Calculus (general Mathematics) (a)(2)

100-2

MATH1202

201 101A2

01

Ceiba 課程網頁
http://ceiba.ntu.edu.tw/1002cal01

(2/20~2/24)
9.1 Sequences and Convergence
9.2 Infinite Seris
9.3 Convergence Tests for Positive Series
9.4 Absolute and Conditional Convergence

9.6 Taylor and Maclaurin Series
9.7 Applications of Taylor and Maclaurin Series

Series
10.6 Cylindrical and Spherical Coordinates
10.7 A Little Linear Algebra
11.1 Vector Functions of One Variable

(3/12~3/16) 11.2 Some Applications of Vector Differentiation
11.3 Curves and Parametrizations
11.4 Curvature, Torsion, and the Frenet Frame
11.5 Curvature and Torsion for General Parametrizations

(3/19~3/23) 11.6 Kepler's Laws of Planetary Motion（※）
12.1 Functions of Several Variables
12.2 Limits and Continuity
12.3 Partial Derivatives

(3/26~3/30) 12.4 Highe
-Order Derivatives
12.5 The Chain Rule
12.6 Linear Approximations, Differentiability, and Differentials

(4/2~4/6)　 4/3(二)∼4/6(五)放假

(4/9~4/13) 12.8 Implicit Functions
12.9 Taylor Series and Approximations
13.1 Extreme Values

(4/16~4/20) 13.2 Extreme Values of Functions Defined on Restricted Domains
13.3 Lagrange Multipliers
4/20（五）期中考，考試範圍：9.1∼13.3（英文命題）

(4/23~4/27) 13.4 The Method of Least Squares
13.5 Parametric Problems

(4/30~5/4) 14.1 Double Integrals
14.2 Iteration of Double Integrals in Cartesian Coordinates
14.3 Improper Integrals and a Mean-Value Theorem

(5/7~5/11) 14.4 Double Integrals in Polar Coordinates
14.5 Triple Integrals

(5/14~5/18) 14.6 Change of Variables in Triple Integrals
14.7 Applications of Multiple Integrals（※）
15.1 Vector and Scalar Fields

(5/21~5/25) 15.2 Conservative Fields
15.3 Line Integrals
15.4 Line Integrals of Vector Fields

(5/28~6/1) 15.5 Surfaces and Surface Integrals
15.6 Oriented Surfaces and Flux Integrals

(6/4~6/8) 16.2 Some Identities Involving Grad, Div, and Curl
16.3 Green's Theorem in the Plane
16.4 The Divergence Theorem in 3-Space

(6/11~6/15) 16.5 Stokes's Theorem
16.6 Some Physical Applications of Vector Calculus（※）
16.7 Orthogonal Curvilinear Coordinates

(6/18~6/22) 6/20（三）期末考，考試範圍：13.4∼16.7（英文命題）

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

☆上課時間：三56 五56 、 實習課時間：一9。
☆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。

Office Hours

Calculus: A Complete Course seventh edition.

(僅供參考)

 No. 項目 百分比 說明 1. 期中考 40% 2. 期末考 40% 3. 小考/作業 20%

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