章節 週次 課程進度
11. Infinite Sequences and
Series
第一週 2/25、2/27
[11.1] Sequences [11.2] Series
2/27(五)和平紀念日遇例假日補假
第二週 3/4、3/6
[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
第三週 3/11、3/13
[11.7] Strategy for Testing Series [11.8] Power Series
[11.9] Representations of Functions as Power Series
第四週 3/18、3/20
[11.10] Taylor and Maclaurin Series [11.11] Applications of Taylor Polynomials
12. Vectors and the Geometry of Space
[12.6] Cylinders and Quadric Surfaces [13.1] Vector Functions and Space Curves
第五週 3/25、3/27
[13.2] Derivatives and Integrals of Vector Functions [13.3] Arc Length and Curvature
[13.4] Motion in Space: Velocity and Acceleration（＊）
13. Vector Functions
[14.1] Functions of Several Variables [14.2] Limits and Continuity
[14.3] Partial Derivatives
14. Partial Derivatives
第六週 4/1、4/3
4/1(三) 溫書假 4/3(五) 溫書假
第七週 4/8、4/10
[14.4] Tangent Planes and Linear Approximations [14.5] The Chain Rule
[14.6] Directional Derivatives and the Gradient Vector 第八週
4/15、4/17
[14.7] Maximum and Minimum Values [14.8] Lagrange Multipliers
第九週 4/22、4/24
緩衝時間 緩衝時間
期中考 4/25（六）09：00～11：30 考試範圍：11.1～14.8（英文命題）
15. Multiple Integrals
第十週 4/29、5/1
[15.1] Double Integrals over Rectangles [15.2] Iterated Integrals
[15.3] Double Integrals over General Regions
第十一週 5/6、5/8
[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 5/13、5/15
[15.8] Triple Integrals in Cylindrical Coordinates [15.9] Triple Integrals in Spherical Coordinates [15.10] Change of Variables in Multiple Integrals
16. Vector Calculus
第十三週 5/20、5/22
緩衝時間
[16.1] Vector Fields [16.2] Line Integrals 第十四週
5/27、5/29
[16.3] The Fundamental Theorem for Line Integrals [16.4] Green's Theorem
第十五週 6/3、6/5
[16.5] Curl and Divergence
[16.6] Parametric Surfaces and Their Areas [16.7] Surface Integrals
第十六週 6/10、6/12
[16.8] Stokes' Theorem
[16.9] The Divergence Theorem [16.10] Summary
第十七週 6/17、6/19
緩衝時間
期末考 6/19（五）09：00～11：30 考試範圍：15.1～16.10
（英文命題）
