MA308 : Complex Analysis 2

Department

Department of Mathematics

Academic Program

Bachelor in mathematics

Type

Compulsory

Credits

03

Prerequisite

MA301

Overview

The general objectives of the course in the form of outputs that the student is supposed to acquire after successful completion of the course are:

  • · Identify the concepts of complex integration, Cauchy integration, analytic function and their properties.
  • · represent complex functions with the Tayler and Laurent series,.
  • · Calculate many integrals using sediment theorems.

Intended learning outcomes

The targeted learning outcomes of the course are:

A. Knowledge & (understand)

The basic information and key concepts that a student must acquire after successfully studying the course in the fields of knowledge and understanding are:

1

To familiarize the student with complex integrals and Cauchy theorems (Cauchy's integral formula).

2

The student should use series in representing complex functions.

3

The student should explain the calculation of many integrals by sediment method.

B. Mental (skills)

The mental skills that the student acquires on analysis after studying the course successfully, and the ability to think creatively, identify and solve problems are:

1

The student should analyze the problems on the complex integration.

2

The student should compare Taylor's theory and jaw and Mafkoon and Laurent theory.

3

The student should propose live examples of the usefulness of sediment theory in scientific applications.

C. Practical & Professional (Skills)

The skills that the student must acquire when studying the course successfully, in order to enable him to use what he has studied in professional applications, are:

1

The student should derive solutions for Cauchy integration and for the integration of analytic functions.

2

The student should diagnose the problems and obstacles facing him and discuss ways to solve them in sequences.

3

The student should use the theory of rest and its applications.

D. Generic (and transferable skills)

General skills or skills that can be used in the fields of work that the student must acquire when studying the course successfully, so that they can be applied in any field are:

1

Using computers, taking care of duties and printing them on the computer.

2

Participation in live and online scientific forums.

3

Directing them on how to take advantage of the programs available online that serve the course

Teaching and learning methods

The methods and methods used in teaching the course are:

  • · Lectures.
  • · Discussion and dialogue.

Methods of assessments

The types of assessment used in the process of teaching and learning the course to ensure that they achieve learning outcomes are:

Rating No.

Evaluation methods

Evaluation Duration

Evaluation weight

Percentage

Rating Date (Week)

First Assessment

First semester exam

An hour and a half

25 scheduled

25%

Sixth

Second Assessment

Second semester exam

An hour and a half

25 scheduled

25%

Eleventh

Final Evaluation

Final Exam

Two hours

All Course

50%

End of Semester

Total

100 degree

100%

(References )

Bibliography

Publisher

Version

Author

Where it is located

Rapporteur notes

Lectures

-

Professor

-

Textbooks

Composite Analysis

-

-

Dr. Ramadan Juhayma

Dr. Salem Al-Qawi

Department Library

Public Libraries

Help Books

Compound variables and their applications

-

-

Churchill

Department Library

Public Libraries