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Showing posts from January, 2017

台大好課評價:微積分一

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開課年度:105-1

授課教師:蔡忠潤教授

開課系所與授課對象:數學系必修,可抵其他微積分課

私心推薦指數(滿分十分):八分,課程節奏覺得還可以更好

課程大概內容

以下將老師上課的內容依照兩此期中和一次期末的範圍列成三段: 
1. Real numbers and continuous functions
2. Limit of sequence
3. Limit for continuous functions
4. Integral & derivative
5. Fundamental theorem of calculus
6. Basic rules for derivative
7. Exponentials
Midterm 1
8. Max and min, some special functions
9. Integration by substitution
10. Integration by parts
11. Integration of rational functions
12. Arc length and area
13. Taylor's theorem
14. L'Hôpital's rule
Midterm 2
15. Interpolation, numerical integration
16. Newton's method, Stirling formula  17. Convergence and test  18. Uniform convergence
19. Power series
20. Infinite products
21. Periodic functions
22. Fourier series
Final