課程名稱 
微積分甲下 Calculus (general Mathematics) (a)(2) 
開課學期 
1082 
授課對象 
化學工程學系 
授課教師 
蔡國榮 
課號 
MATH1202 
課程識別碼 
201E101A2 
班次 
05 
學分 
4.0 
全/半年 
全年 
必/選修 
必修 
上課時間 
星期三8,9,10(15:30~18:20)星期五1,2(8:10~10:00) 
上課地點 
新202 
備註 
本課程以英語授課。統一教學.大二以上限20人.三10為實習課. 限本系所學生(含輔系、雙修生) 總人數上限：110人 
Ceiba 課程網頁 
http://ceiba.ntu.edu.tw/1082MATH1202_05 
課程簡介影片 

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課程概述 
Our main course page would be on NTU COOL.
https://cool.ntu.edu.tw/courses/804
This course will be conducted in English.
As a continuation of the course MATH1201 Calculus A (1), in which Calculus on functions of a single (real) variable is discussed, this course turns to an introduction (and applications) of multivariable (mainly 2 and 3variable) Calculus, which is the foundation for various disciplines in Science and Engineering.
Topics to be discussed include the definitions of directional, partial derivatives and double, triple, line, surface integrals (together with their geometric meanings), the method of Lagrange Multipliers in resolving extremevalue problems with constraints in mutlivariables, and Green's, Stokes', Divergence Theorem, which can be regarded as multivariable version of the Fundamental Theorem of Calculus.
Finally, to complete the discussion on limits of a function or a (infinite) sum of functions in the course of the study of Calculus, the definitions of limits of sequences and series are also introduced, which provide the theoretical basis of the introduction of a `power series'. `Power series' is a generalisation of polynomials and can be used to represent elementary as well as more general functions, which paves the way for more advanced analysis of functions, necessary in practical applications.
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 sections in which students are able to make their skills in handling calculations in Calculus more proficient under the guidance of our teaching assistants. 
課程目標 
Students would be familiar with Calculus as a tool and be able to apply it in various subjects after finishing this course. "Calculus A (1) and (2)" provide a basis for studying advanced courses such as Engineering Mathematics, Mathematical Analysis and Differential Equations. 
課程要求 
Prerequsites : Calculus A (I), basic trigonometry, vectors, determinants of 2x2 and 3x3 matrices, knowledge in linear algebra will be useful but not necessary 
預期每週課後學習時數 

Office Hours 
每週一 14:00~16:00 
參考書目 
J. Marsden, A Tromba, Vector Calculus (4th Edition),
S. Lang, Calculus of Several Variables (3rd Edition)

指定閱讀 
Textbook:
James Stewart, Calculus Early Transcendentals, 8th edition.
The course will be supplemented by the instructor's lecture notes.

評量方式 (僅供參考) 

