課程資訊

CALCULUS (2)

109-1

MATH4007

201 49820

17

2.0

Ceiba 課程網頁
http://ceiba.ntu.edu.tw/1091MATH4007_17

Integration on functions of a single variable together with its profound applications in various subject areas 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 emphasized 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 and finish the online "Pre-Calculus Self Diagnostic Test" which is designed for NTU freshmen.
Students are expected to attend and participate actively in lectures as well as discussion sess.

Office Hours

1. Hoffmann, Bradley, Sobecki, and Price: Applied Calculus for Business, Economics, and the Social and Life
Science (11th Edition)

2. 翁秉仁：微積分乙

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. 平時成績 30% 1. 每週 WeBWorK 作業與 2. 每週課本習題紙本作業。 2. 學習單 2. 小考 20% 小考共 5 次(11/26, 12/3, 12/10, 12/17, 12/24)，取 4 次最高分平均 (小考不補考) 3. 期考 50% 期考 1/9(六) 14:00~16:30 考試以英文命題 (暫定)。

 課程進度
 週次 日期 單元主題 第9週 11/10,11/12 Antiderivatives, The Area and Distance Problems, The Definite Integral, The Fundamental Theorem of Calculus. 第10週 11/17,11/19 Indefinite Integrals and the Net Change Theorem, The Substitution Rule, Areas Between Curves, Volume. 第11週 11/24,11/26 Volumes by Cylindrical Shells, Average Value of a Function (✽), Integration by Parts. 第12週 12/01,12/03 Trigonometric Integrals, Trigonometric Substitution, Integration of Rational Functions by Partial Fractions. 第13週 12/08,12/10 Strategy for Integration, Improper Integrals. 第14週 12/15,12/17 Applications: Consumer and Producer Surplus, Applications: Integrals in Probability, Modeling with Differential Equations. 第15週 12/22,12/24 Separable Equations, Models for Population Growth, Linear Equations. 第16週 12/29,12/31 Curves Defined by Parametric Equations, Calculus with Parametric Curves, Polar Coordinates. 第17週 1/05,1/07 緩衝時間