課程資訊

CALCULUS (2)

109-1

MATH4007

201 49820

15

2.0

Ceiba 課程網頁
http://ceiba.ntu.edu.tw/1091MATH4007_15

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.

Office Hours

Calculus Early Transcendentals 9th Edition, James Stewart, Daniel Clegg, Saleen
Watson.

(僅供參考)

 No. 項目 百分比 說明 1. 小考 20% 2. 作業 30% 3. 期考 50%

 課程進度
 週次 日期 單元主題 第9週 11/10,11/12 4.9 Antiderivatives 5.1 The Area and Distance Problems 5.2 The Definite Integral 5.3 The Fundamental Theorem of Calculus 第10週 11/17,11/19 5.4 Indefinite Integrals and the Net Change Theorem 5.5 The Substitution Rule 6.1 Areas Between Curves 6.2 Volume 第11週 11/24,11/26 6.3 Volumes by Cylindrical Shells 6.5 Average Value of a Function (✽) 7.1 Integration by Parts 第12週 12/01,12/03 7.2 Trigonometric Integrals 7.3 Trigonometric Substitution 7.4 Integration of Rational Functions by Partial Fractions 第13週 12/08,12/10 7.5 Strategy for Integration 7.8 Improper Integrals 第14週 12/15,12/17 Applications: Consumer and Producer Surplus　 Applications: Integrals in Probability 9.1 Modeling with Differential Equations 第15週 12/22,12/24 9.3 Separable Equations 9.4 Models for Population Growth 9.5 Linear Equations 第16週 12/29,12/31 10.1 Curves Defined by Parametric Equations 10.2 Calculus with Parametric Curves 10.3 Polar Coordinates 第17週 1/05,1/07 Exam Review