課程資訊

Calculus (general Mathematics) (a)(2)

102-2

MATH1202

201 101A2

09

Ceiba 課程網頁
http://ceiba.ntu.edu.tw/1022MATH1202_09

11. Infinite Sequences and Series
11.1 Sequences
11.2 Series
11.3 The Integral Test and Estimates of Sums
11.4 The Comparison Tests
11.5 Alternating Series
11.6 Absolute Convergence and the Ratio and Root Tests
11.7 Strategy for Testing Series
11.8 Power Series
11.9 Representations of Functions as Power Series
11.10 Taylor and Maclaurin Series
11.11 Applications of Taylor Polynomials
13. Vector Functions
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. Partial Derivatives
14.1 Functions of Several Variables
14.2 Limits and Continuity
14.3 Partial Derivatives
14.4 Tangent Planes and Linear Approximations
14.5 The Chain Rule
14.6 Directional Derivatives and the Gradient Vector
14.7 Maximum and Minimum Values
14.8 Lagrange Multipliers
15. Multiple Integrals
15.1 Double Integrals over rectangles
15.2 Iterated Integrals
15.3 Double Integrals over General Regions
15.4 Double Integrals in Polar Coordinates
15.5 Applications of Double Integrals
15.6 Triple Integrals
15.7 Triple Integrals in Cylindrical Coordinates
15.8 Triple Integrals in Spherical Coordinates
15.9 Change of Variables in Multiple Integrals
16. Vector Calculus
16.1 Vector Fields
16.2 Line Integrals
16.3 The Fundamental Theorem for Line Integrals
16.4 Green's Theorem
16.5 Curl and Divergence
16.6 Parametric Surfaces and Their Areas
16.7 Surface Integrals
16.8 Stokes' Theorem
16.9 The Divergence Theorem
16.10 Summary

After completing this course, students should be well versed in the mathematical language needed for applying the concepts of calculus to numerous applications in science and engineering. They should also be well prepared for courses in differential equations, linear algebra, or advanced calculus.

High School Mathematics

Office Hours

James Stewart, Calculus Early Transcendentals, 6th edition.

(僅供參考)

 No. 項目 百分比 說明 1. 期中考 40% 2. 期末考 40% 3. 平常成績 20% 小考15% 平常分數5%

 課程進度
 週次 日期 單元主題 第1週 2/19,2/21 Sections 11.1~11.4 第2週 2/26,2/28 Sections 11.5~11.6 第3週 3/05,3/07 Sections 11.7~11.9 第4週 3/12,3/14 Sections 11.10~11.11 [Quiz 1: 11.1~11.7] 第5週 3/19,3/21 Sections 12.6~13.4 第6週 3/26,3/28 Sections 14.1~14.5 [Quiz 2: 11.8~12.6] 第7週 4/02,4/04 (Spring break) 第8週 4/09,4/11 Sections 14.6~14.7 第9週 4/16,4/18 Section 14.8 [Quiz 3: 13.1~14.6] MIDTERM: 4/19 (Sat) 09:00~11:30; on sections 11.1~14.8 第10週 4/23,4/25 Sections 15.1~15.3 第11週 4/30,5/02 Sections 15.4~15.5 第12週 5/07,5/09 Sections 15.6~15.9 [Quiz 4: 15.1~15.5] 第13週 5/14,5/16 Section 15.10 第14週 5/21,5/23 Sections 16.1~16.3 第15週 5/28,5/30 Sections 16.4~16.6 [Quiz 5: 15.6~16.2] 第16週 6/04,6/06 Sections 16.7~16.8 第17週 6/11,6/13 Sections 16.9~16.10 [Quiz 6: 16.3~16.8] FINAL: 6/14 (Sat) 09:00~11:30, on sections 15.1~16.10