AAU
KING ABDULAZIZ UNIVERSITY
ACADEMIC ASSESSMENT UNIT
COURSE PORTFOLIO
FACULTY OF SCIENCE
MATHEMATICS DEPARTMENT
COURSE NAME:
COURSE NUMBER:
SEMESTER/YEAR:
DATE:
General Topology
M
A
T H
1st semester
4
6
2007/2008
12 / 9 / 2007
4
ACADEMIC ASSESSMENT UNIT
PART II
COURSE SYLLABUS
ACADEMIC ASSESSMENT UNIT
Instructor Information
Name of the instructor: Dr. Fatma Al-Sirehy
Building: 7
Office location: Room:18 C
Office hours:
Sat
Sun
Mon
Time
9-10
9-10
121.30
Tue
Wed
9-10
121.30
Tue
Wed
10-11
Contact number(s): 63637
E-mail address(s): [email protected]
Course Information
Course name: General Topology
Course number: 464
Course meeting times:
Sat
Time
10-11
Sun
Mon
10-11
12-1
Building:7
Place: Room:73C
Course website address: www.kau.edu.sa\falserihi
Course prerequisites and requirements:
Course name
Real analsis I
Course number
311
Description of the course: Definition of a topology: open sets, closed sets,
(what, why, philosophy, teaching methodology) interior, closure, and boundary of a set.
Dense sets and separable spaces.
Bases and second countable spaces.
Finite product of spaces. Subspaces.
Continuous functions and homeomorphisms.
Separation axioms: T 0 , T 1 , T 2 , regular, T 3 , normal,
and T 4 spaces.
Metric spaces. Definitions of compact and connected
spaces.
Course Objectives
To deal with abstract mathematical concepts.
To develop the skills of writing clear and precise proofs.
To study topological spaces and metric spaces.
To study continuous functions, connectedness, compactness, and separation axioms.
Learning Resources
ACADEMIC ASSESSMENT UNIT
Textbook: Title : An introduction to General Topology.
Author: Paul E Long.
Publisher: Charles E. Merril Publishing Company, (1971).
Found in: Library
Reading material: Title: Topology, A First Course.
Author: J. R. Munkres.
Publisher: Prentice – Hall. (1977).
Title: General Topology.
Author: S. Lipschutz.
Publisher: Schaum’s Outline Series, (1965).
Course Requirements and Grading
Student assessment: First exam (25%) will be on sat. 29- 10 -1428(10
(A clear rationale and policy on grading) November, 2007).
Second exam (25%) will be on wed. 2 - 12-1428
(12 December, 2007).
Four quizes each one 10% .
Final 40% .
Total 100%.
Expectations from students: She is expected to be regular in her classes. She
(Attitudes, involvement, behaviors, skills, and ethics) must respect the teacher as well as other students
in the same class .The student must be
cooperative and helpful with others.
Student responsibilities to the course: She should be well versed in the pre-reuisites of
the course and should be willing and able to
complement her knowledge through independent
study.
Expectations for each assignment and project: Each assignment is designed to drill the student in
applying her knowledge gained in the class-room
to solve problems of varying degree of
complexity. She should solve the assignment by
her own efforts and submit it before the due date.
Important rules of academic conduct: Respect of University rules and regulations,
personal integrity, devotion to duty.
Lab plan and assignments: Not applicable.
(if it applies)
ACADEMIC ASSESSMENT UNIT
Course Schedule Model
(meeting three times a week)
Week
#
1
2
3
4
5
Date
26-81428
28-81428
30-81428
3-91428
5-91428
7-91428
10-91428
12-91428
14-91428
17-91428
19-91428
21-91428
8-101428
10-101428
Topic
Reading
Assignment
What is Due?

Defining a Topology
Defining a Topology
Defining a Topology
Closed Sets
Closed Sets & The interior and
Boundary of a Set
The interior and Boundary of a
Set & section
The interior and Boundary of a
Set
Cluster Points
Cluster Points & section
Subspaces
Subspaces
Bases & section

ACADEMIC ASSESSMENT UNIT
Week
#
6
7
8
9
10
11
12
Date
Topic
12-101428
Bases
15-101428
17-101428
19-101428
Finite Product of Topological
Spaces
22-101428
24-101428
26-101428
29-101428
2-111428
4-111428
7-111428
9-111428
Defining of a Continuous
Functions
Defining of a Continuous
Functions & section
Finite Product of Topological
Spaces & section
Subbses
Open Functions
Firs Exam
Homeomorphisms & section
Separation Axioms
Hausdorff Spaces
Regular and Normal
Spaces & section
11-111428
Regular and Normal
Spaces
14-111428
16-111428
18-111428
21-111428
23-111428
25-111428
28-111428
30-111428
2-121428
The First Axiom of
Countability
The First Axiom of
Countability & section
The Second Axiom of
Countability
The Second Axiom of
Countability
Connected Spaces & section
More Properties of Connected
Spaces
Comace Spaces
More Properties of Comace
Spaces & section
Second Exam
Reading
Assignment
What is Due?
ACADEMIC ASSESSMENT UNIT
Week
#
13
14
Date
Topic
19-121428
Metric Spaces
21-121428
23-121428
Metric Topologies &
section
Equivalent Metric
Topolgies
Reading
Assignment
What is Due?
ACADEMIC ASSESSMENT UNIT
PART III
COURSE RELATED MATERIAL
Contains all the materials considered essential to teaching the
course, includes:
Quizzes, lab quizzes, mid-terms, and final exams and their solution set
Paper or transparency copies of lecture notes/ handouts (optional)
Practical Session Manual (if one exists)
Handouts for project/term paper assignments
(use the following template for Quizzes, lab quizzes, mid-terms, and final exams and their
solution set)
ACADEMIC ASSESSMENT UNIT
King Abdul Aziz University
Faculty of Science
Mathematics Department
Math 101 - Exam 1
2 Semester 2005/2006
Date: (the exam date)
Time allowed: (time allowed)
nd
8 marks
Q1 (Insert question one here)
8 marks
Q2 (Insert question two here)
8 marks
Q3 (Insert question three here)
8 marks
Q4 (Insert question four here)
8 marks
Q5 (Insert question five here)
Total
25
ACADEMIC ASSESSMENT UNIT
PART IV
EXAMPLES OF STUDENT LEARNING
Examples of student work. (Included good, average, and poor
examples)
Graded work, i.e. exams, homework, quizzes
Students' lab books or other workbooks
Students' papers, essays, and other creative work
Final grade roster and grade distribution
Examples of instructor’s written feedback of student’s work, (optional)
Scores on standardized or other tests, before and after instruction,
(optional)
Course evaluation, self evaluation or students comments (optional)
ACADEMIC ASSESSMENT UNIT
PART V
INSTRUCTOR REFLECTION (optional)
ACADEMIC ASSESSMENT UNIT
Part V. Instructor Reflections on the Course
 Instructor feedback and reflections
 Propose future improvement and enhancement
 Evaluate student competency and reflect on their course evaluation for improvements
to the course
 Conceptual map of relationships among the content, objective, and assessment
 Recent trends and new approaches to teach the course.
ACADEMIC ASSESSMENT UNIT
COURSE PORTFOLIO
CHECKLIST

TITLE PAGE

COURSE SYLLABUS

COURSE RELATED MATERIAL

EXAMPLES OF EXTENT OF STUDENT LEARNING

INSTRUCTOR REFLECTION ON THE COURSE