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 WAN Yau Heng Tom [官方介紹] [學術著作]			學　　分		3學分
課程性質	數學系必修			同科其他選擇		Professor LEUNG Chi Wai
Workload	l   非PAPER類HOMEWORK l   MIDTERM l   FINAL EXAM								好重
									重
									平均
									輕	1
									極輕
評價教學內容	#1 基本上就係Calculus revisited，毫無難度可言，正常智商take過MATH1010嘅都應該輕鬆A grade
評價教員教學	#1 講解清晰
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 differentiable functions 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	2223Sem2：學位 45|註冊 44|剩餘 1
同學推薦	高度推薦	1	推薦			有保留		極有保留