課程資訊

Calculus (general Mathematics) (a)(2)

99-2

MATH1202

201 101A2

01

Ceiba 課程網頁
http://ceiba.ntu.edu.tw/992CalculusA01

11. Infinite Sequences and Series
12. Vectors and the Geometry of Space
13. Vector Functions
14. Partial Derivatives
15. Multiple Integrals
16. Vector Calculus
17.Second-Order Differential Equations

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.

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. 平時成績 20% 小考+作業+演習課表現

 課程進度
 週次 日期 單元主題 第1週 2/21,2/23,2/25 11.1 Sequences
11.2 Series
11.3 The Integral Test and Estimates of Sums

11.5 Alternating Series
11.6 Absolute Convergence and the Ratio and Root Tests

11.8 Power Series
11.9 Representations of Functions as Power Series

11.11 Applications of Taylor Polynomials

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 3/28,3/30,4/01 12.6 Cylinders and Quadric Surfaces
14.1 Functions of Several Variables
14.2 Limits and Continuity
14.3 Partial Derivatives 第7週 4/04,4/06,4/08 14.4 Tangent Planes and Linear Approximations
14.5 The Chain Rule
4/04~4/06 溫書假 第8週 4/11,4/13,4/15 14.6 Directional Derivatives and the Gradient Vector
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 Triple Integrals

15.8 Triple Integrals in Spherical Coordinates
15.9 Change of Variables in Multiple Integrals

16.1 Vector Fields
16.2 Line Integrals

16.4 Green's Theorem

16.6 Parametric Surfaces and Their Areas
16.7 Surface Integrals

16.9 The Divergence Theorem
16.10 Summary

17.2 Nonhomogeneous Linear Equations
17.3 Applications of Second-Order Differential Equations
17.4 Series Solutions