MATH 2060 數學分析（二） Mathematical Analysis II

Course Code	MATH 2060 MATH2060			科目名稱		Mathematical Analysis II 數學分析（二）
教員	Professor LEUNG Chi Wai [官方介紹]			學　　分		3學分
課程性質	數學系必修			同科其他選擇		Professor WAN Yau Heng Tom
Workload	l   非PAPER類HOMEWORK l   TUTORIAL / PRESENTATION l   MIDTERM l   FINAL EXAM								好重
									重
									平均	1
									輕
									極輕
評價教學內容	#1 好深，d tests 既題目好難，難到諗成日都諗唔到。數學系二年級讀既話都幾深，可能係咩年級讀都係好深
評價教員教學	#1 成日講近代數學發展史，好正
CUSIS科目資料	Description： This is a continuation of MATH2050. Topics include: differentiability, mean-value theorem, Taylor theorem, convexity; integrability, fundamental theorem of calculus, improper integrals; power series, radius of convergence, series for elementary functions; infinite series, convergence and divergence, rearrangement; sequence and series of functions.   Learning Outcome： After taking and passing this course a student will be able  (1) to know the properties of differential and convex functions,  (2) to use Darboux sums to study Riemann integrable functions and learn the Taylor formula with remainder,  (3) to understand the fundamental theorems of calculus which relate integration to differentiation, and  (4) to know basic tests for convergence of infinite series and functions, and  (5) to know how the elementary functions including the exponential, logarithmic, and trigonometric functions are rigorously defined.  In (1)-(3) he/she should master those examples and counterexamples which illustrate the applicability of various theorems.
其他資料	2019Sem2：學位 50|註冊 41|剩餘 9
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