課程資訊

CALCULUS (2)

110-1

MATH4007

201 49820

15

2.0

Ceiba 課程網頁
http://ceiba.ntu.edu.tw/1101MATH4007_15

「微積分2」上課時間為第九週至第十六週。

Integration on functions of a single variable together with its profound applications are introduced in this half-semester 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 Economics 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.

Students would be familiar with Calculus as a tool and be able to apply it in Economics and various subjects after finishing this course.

Before taking this course, students should be already skilled in high school mathematics.
Students are expected to attend and participate actively in lectures as well as discussion sessions.

Office Hours

Textbook: James Stewart, Daniel Clegg, and Saleem Watson,
Calculus Early Transcendentals, 9th edition.

(僅供參考)

 No. 項目 百分比 說明 1. 期考 40% 期考1/9(日) 14:00~16:30 (英文命題) 2. 統一的小考 35% 每次小考 50 分鐘(17:30-18:20) 三次小考，各佔總成績 12%。 三次小考加總若超過 35%，以35%計算。 Quiz on 12/2, 12/16, 12/30. 3. 作業、平時成績 25% 學習單成績 6% (每份 2 %)， WeBWorK 作業8%。 每週手寫作業11%

 課程進度
 週次 日期 單元主題 第9週 11/16,11/18 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 第10週 11/23,11/25 5.5 The Substitution Rule 6.1 Areas Between Curves 6.2 Volume 6.3 Volumes by Cylindrical Shells 第11週 11/30,12/02 6.5 Average Value of a Function (✽) 7.1 Integration by Parts 7.2 Trigonometric Integrals 7.3 Trigonometric Substitution 第12週 12/07,12/09 7.4 Integration of Rational Functions by Partial Fractions 7.5 Strategy for Integration 7.8 Improper Integrals 第13週 12/14,12/16 8.4 Applications to Economics (Consumer and Producer Surplus) 8.5 Probability 9.1 Modeling with Differential Equations 第14週 12/21,12/23 9.3 Separable Equations 9.4 Models for Population Growth 9.5 Linear Equations 第15週 12/28,12/30 10.1 Curves Defined by Parametric Equations 10.2 Calculus with Parametric Curves 10.3 Polar Coordinates 第16週 1/04,1/06 緩衝時間 期考1/9(日) 14:00~16:30 (英文命題)