週次 課程進度
第一週
(2/20~2/24)
9.1 Sequences and Convergence
9.2 Infinite Seris
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
第三週(3/5~3/9) 9.8 The Binomial Theorem and Binomia
Series
10.6 Cylindrical and Spherical Coordinates
10.7 A Little Linear Algebra
11.1 Vector Functions of One Variable
第四週
(3/12~3/16) 11.2 Some Applications of Vector Differentiation
11.3 Curves and Parametrizations
11.4 Curvature, Torsion, and the Frenet Frame
11.5 Curvature and Torsion for General Parametrizations
第五週
(3/19~3/23) 11.6 Kepler's Laws of Planetary Motion（※）
12.1 Functions of Several Variables
12.2 Limits and Continuity
12.3 Partial Derivatives
第六週
(3/26~3/30) 12.4 Highe
-Order Derivatives
12.5 The Chain Rule
12.6 Linear Approximations, Differentiability, and Differentials
12.7 Gradients and Directional Derivatives
第七週
(4/2~4/6)　 4/3(二)∼4/6(五)放假
第八週
(4/9~4/13) 12.8 Implicit Functions
12.9 Taylor Series and Approximations
13.1 Extreme Values
第九週
(4/16~4/20) 13.2 Extreme Values of Functions Defined on Restricted Domains
13.3 Lagrange Multipliers
4/20（五）期中考，考試範圍：9.1∼13.3（英文命題）
第十週
(4/23~4/27) 13.4 The Method of Least Squares
13.5 Parametric Problems
第十一週
(4/30~5/4) 14.1 Double Integrals
14.2 Iteration of Double Integrals in Cartesian Coordinates
14.3 Improper Integrals and a Mean-Value Theorem
第十二週
(5/7~5/11) 14.4 Double Integrals in Polar Coordinates
14.5 Triple Integrals
第十三週
(5/14~5/18) 14.6 Change of Variables in Triple Integrals
14.7 Applications of Multiple Integrals（※）
15.1 Vector and Scalar Fields
第十四週
(5/21~5/25) 15.2 Conservative Fields
15.3 Line Integrals
15.4 Line Integrals of Vector Fields
第十五週
(5/28~6/1) 15.5 Surfaces and Surface Integrals
15.6 Oriented Surfaces and Flux Integrals
16.1 Gradient, Divergence, and Curl
第十六週
(6/4~6/8) 16.2 Some Identities Involving Grad, Div, and Curl
16.3 Green's Theorem in the Plane
16.4 The Divergence Theorem in 3-Space
第十七週
(6/11~6/15) 16.5 Stokes's Theorem
16.6 Some Physical Applications of Vector Calculus（※）
16.7 Orthogonal Curvilinear Coordinates
第十八週
(6/18~6/22) 6/20（三）期末考，考試範圍：13.4∼16.7（英文命題）