MM306 : Complex analysis 2

Department

Department of Mathematics

Academic Program

Bachelor in Mathematics

Type

Compulsory

Credits

03

Prerequisite

MM305

Overview

In this course, the student will delve deeper into the study of advanced topics in complex analysis of sequences and series, study their divergence and convergence, important theories to study their properties, and study complex integration in a detailed manner with several important theories such as Cauchy's theory of integration and Cauchy's theorem for integration - path independence theorem - loop theorem - Cauchy's formula theorem as well Taylor and Laurent theories and the use of Laurent's theory in the classification of tensile points.

Intended learning outcomes

That the student relates between real sequences and complex series in a clear way. The student should explain the solutions in the examples, especially the convergence test, accurately. That the student draws the areas of convergence of the series in a good and clear manner. The student should mention several series and learn how to deduce them using some theories well. That the student links between theories and use them to solve divergence and convergence of sequences and series in a good way. The student should mention the complex integral, its properties and theories related to integration well. To explain the Taylor and Laurent series accurately and clearly.

Teaching and learning methods

lecture solving exercises

Methods of assessments

midterm exam 40% final exam60%

(IS100)
General Mathematics 1 (MM101)
Arabic Language 1 (AR100)
PRINCIPLES OF COMPUTER 1 (CS100)
Introduction to Statistics Course (ST101)
GENERAL PSYCHOLOGY (GS100)
FOUNDATIONS OF EDUCATION (GS101)
Planar Analytic Geometry (MM103)
Arabic Language 2 (AR101)
General Mathematics 2 (MM102)
spatial engineering (MM104)
GENERAL TEACHING METHODS (GS201)
EVOLUTIONARY PSYCHOLOGY (GS200)
Introduction to Probability Course (ST102)
PRINCIPLES OF COMPUTER 2 (CS101)
Linear Algebra 1 (MM105)
(IS101)
General Mathematics3 (MM201)
sets theory (MM203)
Linear Algebra 2 (MM205)
(MM206)
EDUCATIONAL PSYCHOLOGY (GS203)
FOUNDATIONS OF CURRICULUM (GS202)
Arabic Language 3 (AR213)
vector analysis (MM204)
dynamics (MM207)
Methods of teaching mathematics (MM215)
Mathematical Statistics Course (ST202)
Arabic Language 4 (AR216)
EDUCATIONAL RESEARCH METHODS (GS301)
Ordinary differential equations 1 (MM202)
School Mathematics 1 (MM309)
ASSESSMENT AND EVALUATION (GS302)
Ordinary differential equations 2 (MM301)
Mathematical logic (MM307)
Composite analysis 1 (MM305)
NUMERICAL ANALYSIS (MM308)
Word processing (CS202)
School Math2 (MM310)
Real analysis1 (MM303)
Abstract algebra 1 (MM302)
TEACHING AIDS (GS303)
SCHOOL MANAGEMENT (GS400)
Complex analysis 2 (MM306)
real analysis 2 (MM304)
Abstract algebra 2 (MM403)
TEACHING PRACTICE 1 (GS402)
linear programming (MM405E)
Functional analysis (MM406E)
History of mathematics (MM407E)
Operations Research (MM408E)
Integral equations (MM409E)
(GS401)
Practical education 2 (GS403)
graduation project (MM404)
Partial differential equations (MM401)