最後更新: 7/7/2018 22:41 所有已提交之科目評價已經更新。

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
學  分
3
課程性質
MATH/Mathematics and Information Engineering必修
同科其他選


Workload
l   PAPERHOMEWORK
l   TUTORIAL / PRESENTATION
l   MIDTERM
l   FINAL EXAM
好重




平均
1


極輕


評價教學內容
#1 Course
評價教員教學
#1 1999Lecture完全冇用,第1midterm出到Out syll然後話Sorry I didn’t check the syllabus,第2midterm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
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
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