章節 週次 課程進度
11. Infinite Sequences and
Series
第一週 2/19、2/21
[11.1] Sequences [11.2] Series
[11.3] The Integral Test and Estimates of Sums [11.4] The Comparison Tests
第二週 2/26、2/28
[11.5] Alternating Series
[11.6] Absolute Convergence and the Ratio and Root Tests 2/28(五) 和平紀念日
第三週 3/5、3/7
[11.7] Strategy for Testing Series [11.8] Power Series
[11.9] Representations of Functions as Power Series
第四週 3/12、3/14
[11.10] Taylor and Maclaurin Series [11.11] Applications of Taylor Polynomials
12. Vectors and the Geometry of Space
緩衝時間
第五週 3/19、3/21
[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
[13.4] Motion in Space: Velocity and Acceleration（＊）
14. Partial Derivatives
第六週 3/26、3/28
[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
第七週 4/2、4/4
4/2(三) 溫書假 4/4(五) 兒童節 第八週
4/9、4/11
[14.6] Directional Derivatives and the Gradient Vector [14.7] Maximum and Minimum Values
第九週 4/16、4/18
[14.8] Lagrange Multipliers 緩衝時間
期中考 4/19（六）09：00～11：30 考試範圍：11.1～14.8（英文命題）
15. Multiple Integrals
第十週 4/23、4/25
[15.1] Double Integrals over Rectangles [15.2] Iterated Integrals
[15.3] Double Integrals over General Regions
第十一週 4/30、5/2
[15.4] Double Integrals in Polar Coordinates [15.5] Applications of Double Integrals（＊）
緩衝時間
第十二週 5/7、5/9
[15.6] Surface Area [15.7] Triple Integrals
[15.8] Triple Integrals in Cylindrical Coordinates [15.9] Triple Integrals in Spherical Coordinates
16. Vector Calculus
第十三週 5/14、5/16
[15.10] Change of Variables in Multiple Integrals 緩衝時間
第十四週 5/21、5/23
[16.1] Vector Fields [16.2] Line Integrals
[16.3] The Fundamental Theorem for Line Integrals
第十五週 5/28、5/30
[16.4] Green's Theorem [16.5] Curl and Divergence
[16.6] Parametric Surfaces and Their Areas 第十六週
6/4、6/6
[16.7] Surface Integrals [16.8] Stokes' Theorem
第十七週 6/11、6/13
[16.9] The Divergence Theorem [16.10] Summary
緩衝時間
期末考 6/14（六）09：00～11：30 考試範圍：15.1～16.10（英文命題）
