章節 週次 課程進度
9. Sequences, Series, and Power Series 第一週
(2/20~2/24) 9.1 Sequences and Convergence
9.2 Infinite Series
9.3 Convergence Tests for Positive Series
9.4 Absolute and Conditional Convergence
第二週
(2/27~3/2) 9.5 Power Series
9.6 Taylor and Maclaurin Series
9.7 Applications of Taylor and Maclaurin Series
9.8 The Binomial Theorem and Binomial Series
10. Vectors and Coordinate Geometry in 3-Space 第三週
(3/5~3/9) 10.3 The Cross Product in 3-Space
10.5 Quadric Surfaces
10.6 Cylindrical and Spherical Coordinates
10.7 A Little Linear Algebra（※）
11. Vector Functions and Curves 第四週
(3/12~3/16) 緩衝時間
11.1 Vector Functions of One Variable
11.3 Curves and Parametrizations
第五週
(3/19~3/23) 11.4 Curvature, Torsion, and the Frenet Frame
12. Partial Differentiation 12.1 Functions of Several Variables
12.2 Limits and Continuity
第六週
(3/26~3/30) 12.3 Partial Derivatives
12.4 Higher-Order Derivatives
12.5 The Chain Rule
12.6 Linear Approximations, Differentiability, and Differentials
第七週
(4/2~4/6)　 4/3(二)∼4/6(五)放假
第八週
(4/9~4/13)　 12.7 Fradients and Directional Derivatives
12.8 Implicit Functions


13. Applications of Partial Derivatives 13.1 Extreme Values
13.2 Extreme Values of Functions Defined on Restricted Domains
第九週
(4/16~4/20) 13.3 Lagrange Multipliers
13.4 The Method of Least Squares（※）
緩衝時間
期中考4/22（日）09：00∼11：30 考試範圍：9.1∼13.4（英文命題）
14. Multiple Integration 第十週
(4/23~4/27) 14.1 Double Integrals
14.2 Iteration of Double Integrals in Cartesian Coordinates
14.3 Improper Integrals and a Mean-Value Theorem
14.4 Double Integrals in Polar Coordinates
第十一週
(4/30~5/4) 14.5 Triple Integrals
14.6 Change of Variables in Triple Integrals
14.7 Applications of Multiple Integrals
15. Vector Fields 第十二週
(5/7~5/11) 緩衝時間
15.1 Vector and Scalar Fields
15.2 Conservative Fields
第十三週
(5/14~5/18) 15.3 Line Integrals
15.4 Line Integrals of Vector Fields
15.5 Surfaces and Surface Integrals
15.6 Oriented Surfaces and Flux Integrals
16. Vector Calculus 第十四週
(5/21~5/25) 緩衝時間
16.1 Gradient, Divergence, and Curl
16.2 Some Identities Involving Grad, Div, and Curl
第十五週
(5/28~6/1) 16.3 Green's Theorem in the Plane
16.4 The Divergence Theorem in 3-Space
16.5 Stokes's Theorem
16.7 Orthogonal Curvilinear Coordinates（※）
17. Ordinary Differential Equations 第十六週
(6/4~6/8) 緩衝時間
17.1 Classifying Differential Equations
17.2 Solving First-Order Equations
17.4 Differential Equations of Second Order
第十七週
(6/11~6/15) 17.5 Linear Differential Equations with Constant Coefficients
17.6 Nonhomogeneous Linear Equations
緩衝時間
期末考6/17（日）09：00∼11：30 考試範圍：14.1∼17.6（英文命題）
說明：（※）此符號標示之課程，可由任課教師自行決定是否為教學內容，不列入考試範圍中