MATH 2230 複變函數與應用 Complex Variables with Applns

Course Code	MATH 2230 MATH2230			科目名稱		Complex Variables with Applns 複變函數與應用
教員	Professor YU Yong [官方介紹] [學術著作]			學　　分		3學分
課程性質	MATH/Mathematics and Information Engineering必修			同科其他選擇
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 個Course唔難
評價教員教學	#1 1999，Lecture完全冇用，第1次midterm出到Out syll然後話Sorry I didn’t check the syllabus，第2次midterm直頭將份卷個標題由Complex Variables改埋做Complex Analysis，差唔多在場嘅同學全部都唔識做 上堂淨係識得Proof，啲Examples全部都係廢。 極力推薦戴浩民tutor，教得非常好
CUSIS科目資料	Description： This course is to introduce the basic properties of complex functions and analytic functions and to illustrate the important use of these theories to other branches of mathematics and sciences.  Topics include: complex numbers; limits, continuity and derivatives, Cauchy-Riemann equations, analytic functions; elementary functions; mapping by elementary functions; Contours integrals, Cauchy-Goursat theorem, Cauchy integral formula, Morera’s theorem, maximum moduli of functions, the fundamental theorem of algebra; Taylor series and Laurent’s series; residues and poles, evaluation of infinite real integrals. Learning Outcome： Students are able to: 1. Define and recognize complex differentiable functions and analytic functions. 2. State the basic properties of analytic functions and major theories about these functions related to contour integration. 3. Work out the local properties at zeros or singularities of analytic functions by series or integrals. 4. Apply residue theory to evaluate real integrals.
其他資料	2017Sem2：學位 50|註冊 40|剩餘 10 2017Sem2：學位 40|註冊 20|剩餘 20 2018Sem1：學位 50|註冊 23|剩餘 27
同學推薦	高度推薦		推薦			有保留		極有保留			1