C o u r s e D e s c r i p t i o n ( 暫 定 )
Department of Mathematics Nature of the course
; required elective
Area 麻煩老師勾選類別，或直接填寫 。 Algebra Analysis Geometry Statistics Applied Mathematics Discrete Mathematics Others Calculus ; Calculus A Calculus B
Course number 201 101A2 Section number 01-05 Number of credits 4 Course title Calculus
Instructor 朱樺(01)、劉瓊如(02)、張志中(03)、蔡雅如(04)、薛克民(05) I. Contents：
II.
章節 週次 課程進度
11. Infinite Sequences and
Series
第一週 (2/21~2/25)
11.1 Sequences 11.2 Series
11.3 The Integral Test and Estimates of Sums
第二週 (2/28~3/4)
11.4 The Comparison Tests 11.5 Alternating Series
11.6 Absolute Convergence and the Ratio and Root Tests
第三週 (3/7~3/11)
11.7 Strategy for Testing Series 11.8 Power Series
11.9 Representations of Functions as Power Series
第四週 (3/14~3/18)
11.10 Taylor and Maclaurin Series 11.11 Applications of Taylor Polynomials 緩衝時間
13. Vector
Functions 第五週 (3/21~3/25)
13.1 Vector Functions and Space Curves
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 (3/28~4/1)
12.6 Cylinders and Quadric Surfaces 14.1 Functions of Several Variables 14.2 Limits and Continuity
14.3 Partial Derivatives
第七週 (4/4~4/8)
14.4 Tangent Planes and Linear Approximations
14.5 The Chain Rule 4/4(一)～4/6(三)溫書假
第八週 (4/11~4/15)
14.6 Directional Derivatives and the Gradient Vector 14.7 Maximum and Minimum Values
第九週 (4/18~4/22)
14.8 Lagrange Multipliers 緩衝時間
期中考 4/23（六）13：30～16：00 考試範圍：11.1～14.8（英文命題）
15. Multiple Integrals
第十週 (4/25~4/29)
15.1 Double Integrals over Rectangles 15.2 Iterated Integrals
15.3 Double Integrals over General Regions
第十一週 (5/2~5/6)
15.4 Double Integrals in Polar Coordinates 15.5 Applications of Double Integrals 15.6 Triple Integrals
第十二週 (5/9~5/13)
15.7 Triple Integrals in Cylindrical Coordinates 15.8 Triple Integrals in Spherical Coordinates 15.9 Change of Variables in Multiple Integrals
16. Vector Calculus
第十三週 (5/16~5/20)
緩衝時間 16.1 Vector Fields 16.2 Line Integrals
第十四週 (5/23~5/27)
16.3 The Fundamental Theorem for Line Integrals 16.4 Green's Theorem
第十五週 (5/30~6/3)
16.5 Curl and Divergence
16.6 Parametric Surfaces and Their Areas
16.7 Surface Integrals
第十六週 (6/6~6/10)
16.8 Stokes' Theorem
16.9 The Divergence Theorem
16.10 Summary 6/6(一)端午節放假
第十七週 (6/13~6/17)
17.1 Second-Order Linear Equations 17.2 Nonhomogeneous Linear Equations
緩衝時間
