課程資訊

Calculus (general Mathematics) (a)(2)

102-2

MATH1202

201 101A2

04

Ceiba 課程網頁
http://ceiba.ntu.edu.tw/1022MATH1202_04

1. Infinite Sequences and Series (無窮數列與無窮級數)
2. Vectors and the Geometry of Space (lR^3向量與lR^3空間幾何)
3. Vector Functions (向量函數)
4. Partial Derivatives (偏導數、偏微分)
5. Multiple Integrals (多重積分)
6. Vector Calculus (向量微積分)
7. Second-Order Diiferential Equations (二階微分方程式)

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.

1.High School Mathematics
2.Calculus(I)

Office Hours

James Stewart, Calculus Early Transcendentals, 7th edition.

James Stewart, Calculus Early Transcendentals, 7th edition.

(僅供參考)

 No. 項目 百分比 說明 1. 期中考 40% 考試時間: 2014.4.19(六) 13:30∼16:00 考試範圍 11.1∼14.8 (英文命題) 2. 期末考 40% 考試時間:2014.06.14(六) 13:30∼16:00 考試範圍 15.1∼17.2 (英文命題) 3. 習題課小考 10% 隔週小考 4. 習題繳交 10% 當週進度之習題分別於下週週三和週五上課繳交

 課程進度
 週次 日期 單元主題 第1週 02/19,02/21 [11.1] Sequences
[11.2] Series
[11.3] The Integral Test and Estimates of Sums
[11.4] The Comparison Tests

[11.6] Absolute Convergence and the Ratio and Root Tests
2/28(五)和平紀念日放假一天

[11.8] Power Series
[11.9] Representations of Functions as Power Series

[11.11] Applications of Taylor Polynomials

[13.1] Vector Functions and Space Curves
[13.2] Derivatives and Integrals of Vector Functions
[13.3] Arc Length and Curvature
[13.4] Motion in Space: Velocity and Acceleration

[14.2] Limits and Continuity
[14.3] Partial Derivatives
[14.4] Tangent Planes and Linear Approximations
[14.5] The Chain Rule

4/4(五) 兒童節

[14.7] Maximum and Minimum Values

[15.2] Iterated Integrals
[15.3] Double Integrals over General Regions

[15.5] Applications of Double Integrals
[15.6] Surface Area
[15.7] Triple Integrals

[15.9] Triple Integrals in Spherical Coordinates
[15.10] Change of Variables in Multiple Integrals

[16.1] Vector Fields
[16.2] Line Integrals

[16.4] Green's Theorem 第15週 5/28,5/30 [16.5] Curl and Divergence
[16.6] Parametric Surfaces and Their Areas
[16.7] Surface Integrals 第16週 6/4,6/6 [16.8] Stokes' Theorem
[16.9] The Divergence Theorem
[16.10] Summary

[17.2] Nonhomogeneous Linear Equations