課程資訊

CALCULUS (GENERAL MATHEMATICS) (B)(1)

97-1

MATH1203

201 101B1

09

A6*兼通識,限醫學院各系、農化、公衛、生科系學生修習.大二以上限20人.

Ceiba 課程網頁
http://ceiba.ntu.edu.tw/971CalculusB

I. Differentiation and Continuity of function of a real variable
1. History of calculus and some elementary prerequisites in analytical geometry and algebra.
2. Concept of infinitesimal and the concept of differentiation.
3. Differentiability and Continuity. First order approximation of a function value near a known function value.
4. Differentiation rules, arithmetic rules, and chain rule of elementary functions. Differentiation of inverse function.
5. Roll’s theorem, mean value theorem, intermediate value theorem.
6 Graphing of rational functions, trigonometric and inverse functions.
7. Extrema problems of continuous and differentiable functions. Applications of this extremal calculus.
8 Implicit differentiation of functions. How to locate the tangent line to a conics.
II. Integration
9.Partition and integration of a continuous function, upper and lower sums,Riemann sums to prove arithmetic laws of integration. Fundamental theorem of calculus.
10. Elementary indefinite integrals of elementary functions.

Understand the use of infinitesimals, derivatives and integrations of functions and numerical methods in approximating a solution. The skills in calculus as a preparatory discipline in application to other field. Understand the value of a differential equation in treating problems in natural phenomena

Office Hours

James Stewart的Essential Calculus(沒有其他字)

(僅供參考)

 No. 項目 百分比 說明 1. Exams 80% 2. other evaluations such as provisionary tests 20%

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