課程資訊
 課程名稱 微積分乙下Calculus (general Mathematics) (b)(2) 開課學期 103-2 授課對象 生命科學系 授課教師 夏俊雄 課號 MATH1204 課程識別碼 201 101B2 班次 10 學分 3 全/半年 全年 必/選修 必帶 上課時間 星期二1(8:10~9:00)星期四7,8,9(14:20~17:20) 上課地點 共201共201 備註 四9為實習課.大二以上限20人.限本系所學生(含輔系、雙修生)總人數上限：130人 Ceiba 課程網頁 http://ceiba.ntu.edu.tw/1032MATH1204_10_2015 課程簡介影片 核心能力關聯 本課程尚未建立核心能力關連 課程大綱 為確保您我的權利,請尊重智慧財產權及不得非法影印 課程概述 Di fferentiation studies rate of change; while integration reveals the eff ect of accumulation. These two ingredients (rate of change and e ect of accumulation) are used to characterize tons of principles, phenomena and criterions surrounding the daily life of everybody. The history of development of calculus somehow reflects part of the most exciting experience that all human beings who had ever lived on earth shared. 課程目標 The mission of calculus has at least the following concerns. (1) The philosophy of the theory of calculus is logically rigorous. The fi rst bene fit that a student who receives this training is to cultivate his/her solid logic thinking. In other words, he/she would have a better idea to make logically reasonable judgement and avoid to make funny mistakes. (2) The history of calculus is both heuristic and creative. With this cultivation, students are able to broaden their insights and get inspirations. This might give them motivations to devote themselves to scienti c research. (3) The philosophy and the skills that students learn from this course give direct applications to a lot of scienti c work (including natural science and social science). (4) Nowadays, the use of network and scienti c computing is getting more and more important. We integrate a few numerical computation programming sessions in this class to train students the basic/important ingredients of calculus including (a) input/output (b) do loop (c) if selection (d) graphics and (e) error control. 課程要求 3 exams many quizzes 預期每週課後學習時數 Office Hours 另約時間 備註： 3 exmas + many quizzes 指定閱讀 The lecture notes will be delivered from time to time. 參考書目 The lecture notes will be delivered from time to time. 評量方式(僅供參考)
 課程進度
 週次 日期 單元主題 第1週 2/24,2/26 integration by parts, techniques of integration 第2週 3/03,3/05 Convergence of sequence: ratio test, root test, Abel test, Dirichlet test 第3週 3/10,3/12 Taylor expansion theorem and its applications: convergence of sequence of functions, radius of convergence 第4週 3/17,3/19 Applications of Taylor expansion 第5週 3/24,3/26 Exam 1 第7週 4/07,4/09 Functions of several variables and their derivatives 第8週 4/14,4/16 Implicit functions 第9週 4/21,4/23 Multiple integrals 第10週 4/28,4/30 Technique of integration from the point of view of multiple variables calculus 第11週 5/05,5/07 Exam 2