課程名稱 
微積分2 CALCULUS (2) 
開課學期 
1111 
授課對象 
土木工程學系 
授課教師 
佐藤信夫 
課號 
MATH4007 
課程識別碼 
201E49820 
班次 
11 
學分 
2.0 
全/半年 
半年 
必/選修 
必帶 
上課時間 
第9,10,11,12,13,14,15,16 週 星期二8,9,10(15:30~18:20)星期四6,7(13:20~15:10) 
上課地點 
新203新203 
備註 
初選不開放。本課程以英語授課。密集課程。英文授課.初選不開放.密集課程.統一教學.二10為實習課. 限本系所學生(含輔系、雙修生) 總人數上限：120人 


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課程概述 
Integration on functions of a single variable together with its profound applications in various subject areas are introduced in this halfsemester course. Especially, this course includes the definition of integrals, the Fundamental Theorem of Calculus, techniques of integration, finding areas and volumes, solving elementary differential equations and more.
Definitions are discussed and the most important theorems are derived in the lectures with a view to help students to develop their abilities in logical deduction and analysis. Practical applications of Calculus in various fields are illustrated in order to promote a more organic interaction between the theory of Calculus and students' own fields of study. This course also provides discussion sessions in which students are able to make their skills in handling calculations in Calculus more proficient under the guidance of our teaching assistants. 
課程目標 
Students would be familiar with Calculus as a tool and be able to apply it in various subjects after finishing this course. "Calculus 1, 2, 3, 4" provide the basis for the study of various advanced courses like Engineering Mathematics, Analysis and Differential Equations 
課程要求 

預期每週課後學習時數 

Office Hours 

參考書目 

指定閱讀 
Textbook: James Stewart, Daniel Clegg, and Saleem Watson, Calculus Early Transcendentals, 9th edition. 
評量方式 (僅供參考) 

週次 
日期 
單元主題 
Week 9 
11/1, 11/3 
5.1 The Area and Distance Problems
5.2 The Definite Integral
5.3 The Fundamental Theorem of Calculus
5.4 Indefinite Integrals and the Net Change Theorem 
Week 10 
11/8, 11/10 
5.5 The Substitution Rule
6.1 Areas Between Curves
6.2 Volumes (WS)
6.3 Volumes by Cylindrical Shells (WS)
*Worksheet (Volumes) 
Week 11 
11/15, 11/17 
6.5 Average Value of a Function (WS)
7.1 Integration by Parts
7.2 Trigonometric Integrals 
Week 12 
11/22, 11/24 
7.3 Trigonometric Substitution
7.4 Integration of Rational Functions by Partial Fractions
*Worksheet (Other Applications of Integrations) 
Week 13 
11/29, 12/1 
7.5 Strategy for Integration
7.8 Improper Integrals
8.1 Arc Length (WS)
9.1 Modeling with Differential Equations
*Worksheet (Applications in Probability) 
Week 14 
12/6, 12/8 
9.3 Separable Equations
9.5 Linear Equations
10.1 Curves Defined by Parametric Equations 
Week 15 
12/13, 12/15 
10.2 Calculus with Parametric Curves
10.3 Polar Coordinates
10.4 Calculus in Polar Coordinates 
Week 16 
12/20, 12/22 
** 12/24 (Sat.) 09:00~11:30. Final Exam 
