Textbook:
Calculus: Early Transcendentals, Metric Edition, 9th Edition by James Stewart, Daniel Clegg, Saleem Watson
數位學習平台 http://Cengage.com References:
1. Calculus: One and Several Variables 10th Edition by Saturnino Salas, Einar Hille, Garrett Etgen 2. Calculus: A Complete Course by Robert A. Adams
Eligibility: 機械系(丙班)、化工系(丙班)學生選讀 Prerequisite: 高中數學
Course Website: http://www.math.ncku.edu.tw/~rchen/
Chapter 10 Parametric Equations and
Polar Coordinates
第一週 2/23, 2/25
10.1 Curves Defined by Parametric Equations 10.2 Calculus with Parametric Curves
10.3 Polar Coordinates
第二週 3/2, 3/4
10.4 Calculus in Polar Coordinates
Chapter 11 Sequences, Series, and Power Series
11.2 Series
11.3 The Integral Test and Estimates of Sums 第三週
3/9, 3/11
11.4 The Comparison Tests
11.5 Alternating Series and Absolute Convergence 11.6 The Ratio and Root Tests
第四週 3/16, 3/18
11.7 Strategy for Testing Series 11.8 Power Series
11.9 Representations of Functions as Power Series 第五週
3/23, 3/25
11.10 Taylor and Maclaurin Series
11.11 Applications of Taylor Polynomials
Chapter 17 Second-Order
Differential Equations
第六週 3/30, 4/1
17.1 Second-Order Linear Equations 17.1 Second-Order Linear Equations No class on Thursday
第七週 4/6, 4/8
No class on Tuesday
17.2 Nonhomogeneous Linear Equations 第八週
4/13, 4/15
17.2 Nonhomogeneous Linear Equations Chapter 13
The Geometry of Space and
Vector Functions
13.1 Vector Functions and Space Curves
13.2 Derivatives and Integrals of Vector Functions
第九週 4/20, 4/22
13.3 Arc Length and Curvature
14.1 Functions of Several Variables
Chapter 14 Partial Derivatives
14.2 Limits and Continuity
第十週 4/27, 4/29
14.3 Partial Derivatives
14.4 Tangent Planes and Linear Approximation 14.5 The Chain Rule
14.6 Directional Derivatives and the Gradient Vector Midterm Exam 4/29 (Thursday) 19:10-21:00 pm,
範圍 Sec 10.1-11.11, 17.1-17.2, 13.1-13.3; 地點 數學系 3172, 3173, 3174 教室
第十一週 5/4, 5/6
14.7 Maximum and Minimum Values 14.8 Lagrange Multipliers
Chapter 15 Multiple Integrals
15.1 Double Integrals over Rectangles 第十二週
5/11, 5/13
15.2 Double Integrals over General Regions 15.3 Double Integrals in Polar Coordinates 15.4 Applications of Double Integrals (skipped) 第十三週
5/18, 5/20
15.5 Surface Area 15.6 Triple Integrals
15.7 Triple Integrals in Cylindrical Coordinates 第十四週
5/25, 5/27
15.8 Triple Integrals in Spherical Coordinates 15.9 Change of Variables in Multiple Integrals
Chapter 16 Vector Calculus
16.1 Vector Fields 第十五週
6/1, 6/3
16.2 Line Integrals
16.3 The Fundamental Theorem for Line Integrals 16.4 Green's Theorem
第十六週 6/8, 6/10
16.5 Curl and Divergence
16.6 Parametric Surfaces and Their Areas 16.7 Surface Integrals
第十七週 6/15, 6/17
16.8 Stokes' Theorem
16.9 The Divergence Theorem
第十八週 6/22, 6/24
Final Exam 6/22 (Tuesday) 10:10-12:00,
範圍 Sec 14.1-16.9 (暫定)；地點 A1306, A1307 教室
Grading
期中考 40%
作業 10%
小考及平時表現 10%
期末考 40%
Course Hours
1. Lecture：Tuesday 10:10-12:00; Thursday 9:10-10:00 in 三系館 A1307 2. Tutorial：Thursday 8:10-9:00 in 化工系館 93252, 93223, 93356
Contact with Teacher
Email: rchen@mail.ncku.edu.tw Phone: 06-2757575 轉 65157 Office: 數學系 405
Contact with Tutors
1. 應用數學研究所博士班：王崇亘
Office: 數學系 415
Email: a78sddrt@gmail.com
2. 應用數學研究所博士班：蔡誌軒
Office: 數學系 415
Email: L18071023@mail.ncku.edu.tw
3. 應用數學研究所碩士班：江嘉恩
Office: 數學系 414
Email: major199221@hotmail.com.tw
