COURSE PORTFOLIO

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COURSE PORTFOLIO

FACULTY OF SCIENCE MATHEMATICS DEPARTMENT

COURSE NAME: REAL ANALYSIS1

COURSE NUMBER:

M A T H 3 1 1

SEMESTER/YEAR: Second

semester 2014/2015

DATE: 27/1/2015

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Instructor Information

Name of the instructor: Dr. Fatma kandil

Office location: Room:12 c Building: 7

Office hours: sunday monday Tuesdy Wed thursday Time 11-1 9-11 11-12

Contact number(s): 63092

E-mail address(s): fkandil@kau.edu.sa

Course Information

Course name: Real analysis (1) Course number: 311

Course meeting times: sunday monday tuesday wed thusday Time 10-11

1-2

10-11 10-11

Place: Room:72 C Building:7 Course website address:

Course prerequisites and requirements:

Course name Course number

Calculus 202 Logic 251

Contents: *System of Real numbers

*Topology on real line

* Sequences of real numbers (concept of convergence, divergence, theorems of convergence) Cauchy sequences , Increasing and decreasing Sequences

* Continuity and Limit of function

* Differentiation .

Important Dates: Exam 1 Sunday

Exam 2

Course Objectives

 To know the definitions and have a deeper understanding of the concepts in the contents of this course.

 To be able to understand, reproduce and apply the main results and proofs in this course.

 To acquire a facility in writing and following mathematical proofs.

 To be able to solve routine problems on the continuity of functions, the convergence of sequences, the existence of limits of functions and on the differentiability of functions.

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Learning Resources

Textbooks: 1. Introduction to Real Analysis

Author: Robert G. Bartle, Donald R. Sherbert 2. Elementary Analysis: The Theory of Calculus Author: Kenneth A. Ross

Reading material:

Elementary Analysis: The Theory of Calculus by Kenneth A. Ross Internet

resources:

1. http://web01.shu.edu/projects/reals/index.html

2. http://www.math.unl.edu/~webnotes/contents/chapters.htm#real_numbers 3. http://www-groups.mcs.st-andrews.ac.uk/~john/analysis/index.html

Course Requirements and Grading

Student assessment:

(A clear rationale and policy on grading)

Test 1 20%

Test 2 20%

Quizzes 10%

Home work 10%

Final 40%

No makeup tests will be given. If a student misses a test with my approval, the score on the final exam will be used to replace the missing test score. In the event that a student misses a test without my approval, a zero will be assigned for that test score. Approval must be obtained in advance if at all possible

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NIT Expectations from students:

(Attitudes, involvement, behaviors, skills, and ethics)

I aim to treat all student with respect and fairness. Since I expect the same consideration, please observe the following courtesies:

Attendance at each scheduled class meeting is expected.

Arrive for class on time. Late class arrivals are disruptive and inconsiderate; moreover, they may be regarded as absences. Students who frequently arrive late may be asked not to return to class.

Silence cell phones. Use of cell phones in the class room will not be permitted; you should not bring one into the classroom unless the ringer is turned OFF. Students in violation of this policy may be asked to leave class.

Student responsibilities to the course:

 Attendance

 Solving the homework problems

 Attend all the quiz's

Detailed Course Schedule

Course Schedule Model (meeting three times a week)

Week

# Date Topic Reading

Assignment What is Due?

1

Introduction to the course

Chapter 1

Buy Book 

System of Real Numbers

Homework assignment #1,2

2 System of Real numbers

Chapter 1

Homework assignment #3

3 System of Real numbers Chapter 1

4 Topology on Line Chpter 2

Homework assignment #4

5 Topology on Line. Chapter 2

Homework assignment #5

6

Test 1 Sequences of Real No

Chapter 2

Homework assignment #6 Test 1

Sequences of Real No

7 Sequences of Real No.

Chapter3 Chapter3 Chapter 3 Homework assignment #7

8 Sequences of Real No

Chapter3

Chapter 3

Chapter3 Homework assignment #8 . Cauchy sequances Chapter4

Limits of functions Chapter4 Homework assignment #9

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Week

# Date Topic Reading

Assignment What is Due?

Chapter4 Continuous functions Chapter 4

Homework assignment #10

11

Properties of continuos Chapter3 Test 2 Chapter 4

Properties of continuous Chapter4 Homework assignment #11,12

12

Chapter 4

Proofs of theorems

Differentiation Chapter 5 Homework assignment #13

13

Mean value theorem Chapter 5

Role theorem

Intermediate value

Theorem Chapter 5 Homework assignment #14

14

L,.Hopital.rule .

L,.Hopital.rule

Proofs of theorems . Homework assignment #15

Practical Sessions Schedule Model

Lab.

# Date Exp/Practical title Reading

Assignment What is Due?

1 Sep 1 Safety & Regulations 

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3

4

5

6

7

8

9

10

11

12

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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)

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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)

8 marks

Total 25 King Abdul Aziz University

Faculty of Science Mathematics Department

Math 101 - Exam 1 2^nd Semester 2005/2006

Date: (the exam date) Time allowed: (time allowed)

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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)

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Scores on standardized or other tests, before and after instruction, (optional)

Course evaluation, self evaluation or students comments (optional)

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PART V

INSTRUCTOR REFLECTION (optional)

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Part V. Instructor Reflections on the Course

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Instructor feedback and reflections

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Propose future improvement and enhancement

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Evaluate student competency and reflect on their course evaluation for improvements to the course

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Conceptual map of relationships among the content, objective, and assessment

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Recent trends and new approaches to teach the course.

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COURSE PORTFOLIO

CHECKLIST

 TITLE PAGE

 COURSE SYLLABUS

 COURSE RELATED MATERIAL

 EXAMPLES OF EXTENT OF STUDENT LEARNING

 INSTRUCTOR REFLECTION ON THE COURSE