MA401 : Topology

Department

Department of Mathematics

Academic Program

Bachelor in mathematics

Type

Compulsory

Credits

03

Prerequisite

MA303

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:

  • · Recognize the initial concepts of topological spaces.
  • · Students demonstrate relationships between spaces using function links .
  • · The student's ability to understand the concepts of stacking and interconnection of spaces.

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 the basic concepts and properties of topological spaces.

2

The student should compare between m spaces using different types of functions.

3

The student should use the postulates of the class and their properties.

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

That the student imagines other spaces that are topologically equivalent to given spaces

2

To familiarize the student with functions and their properties in different topological spaces.

3

The student should diagnose the meaning of stacking in its various forms, interdependence and other topological properties.

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

Solve and interpret a number of discussions on the concepts of topological spaces.

2

The student should link functions to topological concepts.

3

To deduce the relationship between stacking and interdependence in topological space.

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

The ability to analyze some issues with mathematical logic.

2

Destiny to imagine how to link relationships between spaces giving to specific data.

3

Self-confidence while exposed to issues and solving them with mathematical logic research.

Teaching and learning methods

The methods and methods used in teaching the course are:

  • · Lectures.
  • · Practical exercises.

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 written exam

An hour and a half

25 scheduled

20%

Sixth

Second Assessment

Second written exam

An hour and a half

25 scheduled

20%

Eleventh

Third Assessment

Homework

And surprise exams

Determined by the professor

Determined by the professor

10%

Semifinals

Final Evaluation

Final written exam

Two hours

All Course

50%

End of Semester

Total

100 degree

100%

(References )

Bibliography

Publisher

Version

Author

Where it is located

GENERAL TOPOLOGY TEXTBOOKS

-

The first

S.WILLAR

INTERNET

Help Books

General topology

-

-

Dr. Mabrouk Younis

Dr. Ali Al-Ruwaini

Dr. Hassan Alzaghdani

Library of the Department of Mathematics and the Library of the Faculty of Science

Internet Sites

-

-

General topology books

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