|
課程名稱 |
微積分甲下
CALCULUS (GENERAL MATHEMATICS) (A)(2) |
|
開課學期 |
98-2 |
|
授課對象 |
資訊工程學系 |
|
授課教師 |
張志中 |
|
課號 |
MATH1202 |
|
課程識別碼 |
201 101A2 |
|
班次 |
03 |
|
學分 |
4 |
|
全/半年 |
全年 |
|
必/選修 |
必修 |
|
上課時間 |
星期一9(16:30~17:20)星期三5,6(12:20~14:10)星期五5,6(12:20~14:10) |
|
上課地點 |
新303新103新103 |
|
備註 |
統一教學.大二以上限20人.一9為實習課.兼通識A6。
限本系所學生(含輔系、雙修生)
總人數上限：100人 |
|
Ceiba 課程網頁 |
http://ceiba.ntu.edu.tw/982cal03 |
|
課程簡介影片 |
|
|
核心能力關聯 |
核心能力與課程規劃關聯圖 |
|
課程大綱
|
|
為確保您我的權利,請尊重智慧財產權及不得非法影印
|
|
課程概述 |
Please see the webpage
http://www.math.ntu.edu.tw/~mathcal/a/ |
|
課程目標 |
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 |
|
課程要求 |
Quiz(about 5 times) 15%
Recitation class participation 5%
Midterm:40%
Final:40% |
|
預期每週課後學習時數 |
|
|
Office Hours |
|
|
參考書目 |
James Stewart, Calculus Early Transcendentals, 6th edition |
|
指定閱讀 |
James Stewart, Calculus Early Transcendentals, 6th edition |
|
評量方式
(僅供參考) |
|
|
週次 |
日期 |
單元主題 |
|
第1週 |
2/22,2/24,2/26 |
11.1 Sequences
11.2 Series
11.3 The Integral Test and Estimates of Sums
|
|
第2週 |
3/01,3/03,3/05 |
11.4 The Comparison Tests
11.5 Alternating Series
11.6 Absolute Convergence and the Ratio and Root Tests |
|
第3週 |
3/08,3/10,3/12 |
11.7 Strategy for Testing Series
11.8 Power Series
11.9 Representations of Functions as Power Series |
|
第4週 |
3/15,3/17,3/19 |
11.10 Taylor and Maclaurin Series
11.11 Applications of Taylor Polynomials |
|
第5週 |
3/22,3/24,3/26 |
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
|
|
第6週 |
3/29,3/31,4/02 |
14.1 Functions of Several Variables
14.2 Limits and Continuity
14.3 Partial Derivatives
|
|
第7週 |
4/05,4/07,4/09 |
14.4 Tangent Planes and Linear Approximations
14.5 The Chain Rule
4/5(一)∼4/7(三)放假
|
|
第8週 |
4/12,4/14,4/16 |
14.6 Directional Derivatives and the Gradient Vector
14.7 Maximum and Minimum Values
14.8 Lagrange Multipliers
|
|
第9週 |
4/19,4/21,4/23 |
15.1 Double Integrals over Rectangles
15.2 Iterated Integrals |
|
第10週 |
4/26,4/28,4/30 |
15.3 Double Integrals over General Regions
15.4 Double Integrals in Polar Coordinates
|
|
第11週 |
5/03,5/05,5/07 |
15.5 Applications of Double Integrals
15.6 Triple Integrals
15.7 Triple Integrals in Cylindrical Coordinates
|
|
第12週 |
5/10,5/12,5/14 |
15.8 Triple Integrals in Spherical Coordinates
15.9 Change of Variables in Multiple Integrals
|
|
第13週 |
5/17,5/19,5/21 |
16.1 Vector Fields
16.2 Line Integrals
|
|
第14週 |
5/24,5/26,5/28 |
16.3 The Fundamental Theorem for Line Integrals
16.4 Green’s Theorem
|
|
第15週 |
5/31,6/02,6/04 |
16.5 Curl and Divergence
16.6 Parametric Surfaces and Their Areas
16.7 Surface Integrals
|
|
第16週 |
6/07,6/09,6/11 |
16.8 Stokes’ Theorem
16.9 The Divergence Theorem
|
|
第17週 |
6/14,6/16,6/18 |
16.10 Summary
緩衝時間
6/16(三)放假
|
|