課程資訊

CALCULUS (2)

109-1

MATH4007

201 49820

01

2.0

Ceiba 課程網頁
http://ceiba.ntu.edu.tw/1091MATH4007_01

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

Students participating in the course should be already skilled in high school mathematics. They 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. Homework 30% WeBWorK (10%) and weekly assignments (20%) 2. Quizzes 20% Totally 3 quizzes, taken in TA sessions 3. Final exam 50% 1/9 (Saturday), 9:00 ~ 11:30

 課程進度
 週次 日期 單元主題 Week 9 11/11, 11/13 §§5.1 -- 5.5 Week 10 11/16, 11/18 §§6.1 -- 6.3, 6.5 Week 11 11/23, 11/25, 11/27 Quiz 1 §§7.1 -- 7.3 Week 12 11/30, 12/02, 12/04 §§7.4, 7.5, 7.8 Week 13 12/07, 12/09, 12/11 Quiz 2 Laplace transformation Week 14 12/14, 12/16, 12/18 §§8.1, 10.1, 10.2 Week 15 12/21, 12/23, 12/25 Quiz 3 §§10.3, 10.4, 9.1, 9.3 Week 16 12/28, 12/30 §§9.4, 9.5, 17.1 Week 17 1/04, 1/06, 1/08 §17.2