課程資訊

CALCULUS (2)

110-1

MATH4007

201E49820

11

2.0

「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 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 various subjects after finishing this course. "Calculus 1, 2, 3, 4" provide the basis for the study of various advanced courses like Engineering Mathematics, Analysis and Differential Equations.

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

NTU Calculus Unified Website: http://www.math.ntu.edu.tw/~calc/Default.html
NTU Calculus Past Exams: http://www.math.ntu.edu.tw/~calc/cl_n_34455.html

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. Final 50% 01/09 (Sun) 09:00-11:30 2. Quiz 30% 3 Quizzes 3. Written HW 10% 4. WeBWorK 10%

 課程進度
 週次 日期 單元主題 第9週 5.1 The Area and Distance Problems 5.2 The Definite Integral 5.3 The Fundamental Theorem of Calculus 第10週 5.4 Indefinite Integrals and the Net Change Theorem 5.5 The Substitution Rule 第11週 6.1 Areas Between Curves 6.2 Volumes 6.3 Volumes by Cylindrical Shells 6.5 Average Value of a Function 第12週 7.1 Integration by Parts 7.2 Trigonometric Integrals 7.3 Trigonometric Substitution 第13週 7.4 Integration of Rational Functions by Partial Fractions 7.5 Strategy for Integration 7.8 Improper Integrals 第14週 8.1 Arc Length 8.2 Area of a Surface of Revolution (*) 9.1 Modeling with Differential Equations 9.3 Separable Equations 第15週 9.5 Linear Equations 10.1 Curves Defined by Parametric Equations 10.2 Calculus with Parametric Curves 第16週 10.3 Polar Coordinates 10.4 Calculus in Polar Coordinates * 01/09 (Sun) 09:00-11:30 Final Examination