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課程名稱 |
微積分甲下
Calculus (general Mathematics) (a)(2) |
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開課學期 |
100-2 |
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授課對象 |
土木工程學系 |
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授課教師 |
朱 樺 |
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課號 |
MATH1202 |
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課程識別碼 |
201 101A2 |
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班次 |
12 |
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學分 |
4 |
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全/半年 |
全年 |
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必/選修 |
必帶 |
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上課時間 |
星期二7,8,9(14:20~17:20)星期四5,6(12:20~14:10) |
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上課地點 |
新203新203 |
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備註 |
統一教學.二9為實習課.「開放式課程」。
限本系所學生(含輔系、雙修生)
總人數上限：130人 |
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Ceiba 課程網頁 |
http://ceiba.ntu.edu.tw/1002CalculusA2 |
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課程簡介影片 |
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核心能力關聯 |
核心能力與課程規劃關聯圖 |
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課程大綱
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為確保您我的權利,請尊重智慧財產權及不得非法影印
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課程概述 |
9. Sequences, Series, and Power Series
10. Vectors and Coordinate Geometry in 3- Space
11. Vector Functions and Curves
12. Partial Differentiation
13. Applications of Partial Derivatives
14. Multiple Integration
15. Vector Fields
16. Vector Calculus
17. Ordinary Differential Equations |
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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. |
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課程要求 |
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預期每週課後學習時數 |
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Office Hours |
另約時間 備註： http://www.math.ntu.edu.tw/~mathcal/a/?page_id=1207 |
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指定閱讀 |
http://www.math.ntu.edu.tw/~hchu/Calculus/
http://www.math.ntu.edu.tw/~mathcal/a/ |
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參考書目 |
Calculus: A Complete Course seventh edition， 作者： Adams |
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評量方式
(僅供參考) |
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週次 |
日期 |
單元主題 |
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第1週 |
2/21,2/23 |
9.1 Sequences and Convergence<br>
9.2 Infinite Series<br>
9.3 Convergence Tests for Positive Series<br>
9.4 Absolute and Conditional Convergence |
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第2週 |
2/28,3/01 |
9.5 Power Series<br>
9.6 Taylor and Maclaurin Series<br>
9.7 Applications of Taylor and Maclaurin Series<br>
9.8 The Binomial Theorem and Binomial Series |
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第3週 |
3/06,3/08 |
10.3 The Cross Product in 3-Space<br>
10.5 Quadric Surfaces<br>
10.6 Cylindrical and Spherical Coordinates<br>
10.7 A Little Linear Algebra(※) |
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第4週 |
3/13,3/15 |
緩衝時間<br>
11.1 Vector Functions of One Variable<br>
11.3 Curves and Parametrizations |
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第5週 |
3/20,3/22 |
11.4 Curvature, Torsion, and the Frenet Frame<br>
12.1 Functions of Several Variables<br>
12.2 Limits and Continuity |
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第6週 |
3/27,3/29 |
12.3 Partial Derivatives<br>
12.4 Higher-Order Derivatives<br>
12.5 The Chain Rule<br>
12.6 Linear Approximations, Differentiability, and Differentials |
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第7週 |
4/03,4/05 |
4/3(二)~4/6(五)放假 |
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第8週 |
4/10,4/12 |
12.7 Fradients and Directional Derivatives<br>
12.8 Implicit Functions<br>
13.1 Extreme Values<br>
13.2 Extreme Values of Functions Defined on Restricted Domains |
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第9週 |
4/17,4/19 |
13.3 Lagrange Multipliers<br>
13.4 The Method of Least Squares(※)<br>
緩衝時間<br>
期中考 4/22(日) 09:00~11:30 考試範圍:9.1~13.4(英文命題)
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第10週 |
4/24,4/26 |
14.1 Double Integrals <br>
14.2 Iteration of Double Integrals in Cartesian Coordinates <br>
14.3 Improper Integrals and a Mean-Value Theorem <br>
14.4 Double Integrals in Polar Coordinates |
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第11週 |
5/01,5/03 |
14.5 Triple Integrals <br>
14.6 Change of Variables in Triple Integrals <br>
14.7 Applications of Multiple Integrals |
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第12週 |
5/08,5/10 |
緩衝時間<br>
15.1 Vector and Scalar Fields <br>
15.2 Conservative Fields |
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第13週 |
5/15,5/17 |
15.3 Line Integrals <br>
15.4 Line Integrals of Vector Fields <br>
15.5 Surfaces and Surface Integrals <br>
15.6 Oriented Surfaces and Flux Integrals |
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第14週 |
5/22,5/24 |
緩衝時間 <br>
16.1 Gradient, Divergence, and Curl <br>
16.2 Some Identities Involving Grad, Div, and Curl |
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第15週 |
5/29,5/31 |
16.3 Green's Theorem in the Plane <br>
16.4 The Divergence Theorem in 3-Space <br>
16.5 Stokes's Theorem<br>
16.7 Orthogonal Curvilinear Coordinates(※) |
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第16週 |
6/05,6/07 |
緩衝時間 <br>
17.1 Classifying Differential Equations <br>
17.2 Solving First-Order Equations <br>
17.4 Differential Equations of Second Order |
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第17週 |
6/12,6/14 |
17.5 Linear Differential Equations with Constant Coefficients <br>
17.6 Nonhomogeneous Linear Equations <br>
緩衝時間 <br>
期末考6/17(日)09:00~11:30 考試範圍:14.1~17.6(英文命題) |
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