課程資訊

CALCULUS (2)

111-1

MATH4007

201 49820

16

2.0

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.

(僅供參考)

 No. 項目 百分比 說明 1. 期考 50% 期考12/24(星期六）14:00~16:30(英文命題） 2. 小考 20% 三次小考取最高分的兩次計算成績 3. 學習單(Worksheet) 10% 1.三份學習單 2.每次總分100分，模組一結束後的計算方式是（三次總分）/300*9 3.三次都有準時交作業的話，得到總成績1分 4.學習單遲交的話，成績打六折 4. Webwork(線上作業） 10% 以完成率計分,模組二結束後的計算方式是 (完成率）*10 5. 隨堂測驗 10% 兩次隨堂測驗 每次總分是100分，模組二結束後的計算方式是（兩次次總分）/200*10

 課程進度
 週次 日期 單元主題 第9週 10/31-11/6 5.1 The Area and Distance Problems 5.2 The Definite Integrals 5.3 The Fundamental Theorem of Calculus 5.4 The indefinite Integrals and the Net Change Theorem 11/4(五）微積分二退選截止日 第10週 11/7-11/13 5.5 The Substitution Rule 6.1 Areas Between Curves 6.5 Average Value of a Function Worksheet(Lorenz Curves and Gini Index) 第11週 11/14-11/20 8.4 Application to Economics(WS) 7.1 Integration by Parts 7.2 Trigonometric Integrals 11/17(四）17:30-18:20 (Quiz1 範圍5.1-5.5, 6.1) 第12週 11/21-11/27 7.3 Trigonometric Substitution 7.4 Integration of Rational Functions by Partial Fractions 7.5 Strategy for Integration Worksheet(Integrals in Economics) Pop_Quiz1 第13週 11/28-12/4 7.8 Improper integrals 8.5 Probability(WS) 9.1 Modeling with Differential Equations 12/1(四）17:30-18:20 (Quiz2 範圍7.1-7.5) 第14週 12/5-12/11 9.3 Separable Equations 9.5 Linear Equations Worksheet(Applications in Probability) 第15週 12/12-12/18 11.9 Representation of Functions as Power Series 11.10 Taylor and Maclaurin Series 12/15(四）17:30-18:20 (Quiz3 範圍8.5 , 9.1, 9.3, 9.5) 第16週 12/19-12/25 緩衝時間 期考12/24(星期六）14:00~16:30(英文命題） Pop_Quiz2