指定用書：The Elements of Real Analysis, Secondd Edition, by Robert G. Bartle
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<br>教學方式：板書和演習課
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<br>教學進度：
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<br>V. Functions of One Variable:
<br>29. The Riemann-Stieltjes, 30. Existence of the Integral, 31. Further Properties of the Integral, 32. Improper 
<br>and Infinite Integrals, 33. Uniform convergence and Infinite Integrals
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<br>VI. Infinite Series:
<br>34. Convergence of Infinite Series, 35. Tests for Absolute Convergence, 36. Further results for Series, 37. 
<br>Series of Functions, 38. Fourier series
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<br>VII. 39. The derivative in R^p, 40. The Chain Rule and Mean value Theorem, 41. Mapping Theorems and 
<br>Implict Functions ,42. Extremum Problems
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<br>VIII
<br>43. The Integral in R^p, 44. Content and the Integral, 45. Transformation of Sets and Integrals,
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<br>成績考核：
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<br>作業：20%
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<br>第一次期中考：20%
<br>第二次期中考：20%
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<br>期末考：40%
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<br>期中考，期末考試以實體考試為原則。