章節 週次 課程進度
11. Infinite Sequences and
Series
第一週 2/24、2/26
[11.1] Sequences [11.2] Series
[11.3] The Integral Test and Estimates of Sums [11.4] The Comparison Tests
第二週 3/2、3/4
[11.5] Alternating Series
[11.6] Absolute Convergence and the Ratio and Root Tests [11.7] Strategy for Testing Series
[11.8] Power Series 第三週
3/9、3/11
[11.9] Representations of Functions as Power Series [11.10] Taylor and Maclaurin Series
第四週 3/16、3/18
[11.11] Applications of Taylor Polynomials
12. Vectors and the Geometry of Space
緩衝時間
第五週 3/23、3/25
[12.6] Cylinders and Quadric Surfaces [13.1] Vector Functions and Space Curves 13. Vector
Functions
[13.2] Derivatives and Integrals of Vector Functions [13.3] Arc Length and Curvature
14. Partial Derivatives
第六週 3/30、4/1
[14.1] Functions of Several Variables 4/1(五) 溫書假
第七週 4/6、4/8
[14.2] Limits and Continuity [14.3] Partial Derivatives
[14.4] Tangent Planes and Linear Approximations [14.5] The Chain Rule
第八週 4/13、4/15
[14.6] Directional Derivatives and the Gradient Vector [14.7] Maximum and Minimum Values
第九週 4/20、4/22
[14.8] Lagrange Multipliers 緩衝時間
期中考 4/23（六）09:00～11:30 考試範圍：11.1～14.8（英文命題）
15. Multiple Integrals
第十週 4/27、4/29
[15.1] Double Integrals over Rectangles [15.2] Iterated Integrals
[15.3] Double Integrals over General Regions
第十一週 5/4、5/6
[15.4] Double Integrals in Polar Coordinates [15.5] Applications of Double Integrals [15.6] Surface Area
[15.7] Triple Integrals
第十二週 5/11、5/13
[15.8] Triple Integrals in Cylindrical Coordinates [15.9] Triple Integrals in Spherical Coordinates [15.10] Change of Variables in Multiple Integrals 緩衝時間
16. Vector Calculus
第十三週 5/18、5/20
[16.1] Vector Fields [16.2] Line Integrals
[16.3] The Fundamental Theorem for Line Integrals
第十四週 5/25、5/27
[16.4] Green's Theorem [16.5] Curl and Divergence
[16.6] Parametric Surfaces and Their Areas
第十五週 6/1、6/3
[16.7] Surface Integrals [16.8] Stokes' Theorem 6/4(六) 補 6/10 的課
第十六週 6/8、6/10
[16.9] The Divergence Theorem [16.10] Summary
6/10(五) 調整放假
17. Second-Order Differential
Equations
第十七週 6/15、6/17
[17.1] Second-Order Linear Equations [17.2] Nonhomogeneous Linear Equations 緩衝時間
期末考 6/18（六）09:00～11:30 考試範圍：15.1～17.2（英文命題）
