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成績分配 : 期中 (30%) 期末 (30%) 平時 (40%): 複習考 ( 期中前 10%, 期末前 10%) 課堂小考、作業 、 點名 (20%) 張曉芬

成績分配 : 期中 (30%) 期末 (30%) 平時 (40%): 複習考 ( 期中前 10%, 期末前 10%) 課堂小考、作業 、 點名 (20%) 張曉芬 分機 :#8201 辦公室 : 財金研究所 三樓 研究室二 au4237@mail.au.edu.tw. 書名:商用微積分 作者:高金美 、錢傳仁 華泰書局代理 書名: Brief Applied Calculus 4th edition 作者: Berresford Rockett Houghton Mifflin 華泰書局代理. Finite Intervals.

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成績分配 : 期中 (30%) 期末 (30%) 平時 (40%): 複習考 ( 期中前 10%, 期末前 10%) 課堂小考、作業 、 點名 (20%) 張曉芬

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  1. 成績分配: 期中(30%) 期末(30%) 平時(40%): 複習考(期中前10%, 期末前10%) 課堂小考、作業、點名 (20%) 張曉芬 分機:#8201 辦公室:財金研究所 三樓 研究室二 au4237@mail.au.edu.tw

  2. 書名:商用微積分 • 作者:高金美、錢傳仁 • 華泰書局代理 • 書名:Brief Applied Calculus 4th edition • 作者:Berresford Rockett • Houghton Mifflin 華泰書局代理

  3. Finite Intervals

  4. Infinite Intervals

  5. Slope= rise/run

  6. Laws of Exponents

  7. The Domain of a Function…

  8. Profit = Revenue - Cost

  9. A Graphical Look at the Discriminant

  10. Composite Function Machine

  11. Composite function 合成函數 • f(g(x)=f。g(x) composition of f with g • Ex1:f(x)= ,g(x)= , f(g(X)=? • Ex2:f(x)=√x,g(x)= , f(g(X)=? ,domain=? • The domain of f(g(x)) is the domain of f∩g

  12. Shifts of the Graph y = x2 and the Rules Horizontal and Vertical Shifts

  13. A Gallery of Functions

  14. A Gallery of Functions (cont’d)

  15. A funcion y=f(x) is said to be increasing (遞增) function denoted by ↗ on the interval (a,b) if f(x1) <f(x2) when a<x1<x2<b 。 • Concavity:concave up ∪ • concave down ∩

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