課程資訊

CALCULUS (2)

110-1

MATH4007

201 49820

16

2.0

Ceiba 課程網頁
http://ceiba.ntu.edu.tw/1101MATH4007_16

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 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.

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

Before taking this course, students should be already skilled in high school mathematics and finish the online Precalculus Self Diagnostic Test which is designed for NTU freshmen.
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.

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(Final) 40% 2. 小考(Quizzers) 35% 總共有3次小考，一次是12%,加總三次超過35%以35%計算 每次小考都要計分，小考如需請假，需徵得授課教師同意，並安排補考，否則當次小考以0分計算。 3. 學習單 6% 總共有三份學習單,一份2% 4. Webwork 9% 看完成度，不會限制答題次數 5. 手寫作業 10% 總共交四次手寫作業，一次2.5%

 課程進度
 週次 日期 單元主題 第9週 11/17-11/23 5.1 The Area and Distance Problems 5.2 The Definite Integral 5.3 The Fundamental theorem of Calculus 5.4 Indefinite Integrals and Net Change theorem 手寫作業一 第10週 11/24-11/30 5.5 the Substitution Rule 6.1 Areas Between Curves 6.2 Volume 6.3 Volumes by Cylindrical Shells 學習單一 第11週 12/1-12/7 6.5 Average of a Function(*) 7.1 Integration by parts 7.2 Trigonometric Integrals 7.3 Trigonometric Substitution 12/2(四）17:30-18:20 Quiz1 (範圍：5.1-5.5) 學習單二 第12週 12/8-12/14 7.4 Integration of Rational Functions by Partial Fractions 7.5 Strategy for Integration 7.8 Improper Integrals 手寫作業二 第13週 12/15-12/21 8.4 Applications to Economics(Consumer and Producer Surplus) 8.5 Probability 9.1 Modeling with Differential Equations 12/16(四）17:30-18:20 Quiz 2（範圍：6.1-6.3,7.1-7.3) 學習單三 第14週 12/22-12/28 9.3 Separable Equations 9.4 Models for Population Growth 9.5 Linear Equations 手寫作業三 第15週 12/29-1/4 10.1 Curves Defined by Parametric Equations 10.2 Calculus with Parametric Curves 10.3 Polar Coordinates 12/30(四）17:30-18:20 Quiz 3(範圍：7.4-7.5,7.8,8.4-8.5,9.1,9.3-9.5) 手寫作業四 第16週 1/5-1/11 緩衝時間 期考1/9(日）14:00-16:30（英文命題）