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MATHEMATİCAL ANALYSİS I
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| Course Name |
Code |
Regular Semester |
ECTS Credits |
Credits |
Lecture |
4
|
| Application |
2
|
|
Mathematical Analysis I
|
0251011
|
1
|
7.5
|
5
|
Laboratory (Hour/Week) |
-
|
|
| Course Language |
Turkish
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| Compulsory or Elective |
Compulsory
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| Equipment |
Board, Overhead Projector, Projector;, Notebook, CD
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| Instructor |
Department of Mathematics
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| Course Contents |
Real Numbers/ Complex numbers/ Sequence of real numbers/ One variable functions/ Limits and Continuity/ Uniform continuity/ Derivative/ Studying variation of functions/ Parametric Equations/ Polar Coordinates/ Differential , Fundamental theorem of differential calculus/ Rolle and Mean-Value Theorems/ Series of real number/ Power series/ Taylor and Maclaurin series
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| Course Objectives |
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To give fundamentals of mathematics knowledge
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To be able to analyse the problem which are met in the fields of mathematics and to gain the ability of problem solving
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To gain analytical thinking, discussion and evaluation
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Course Outcomes
(The knowledge and the skills that the student will gain at the end of the course) |
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To have the fundamentals of mathematical knowledge and culture
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To have analytical thinking and evaluation
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The skill of evaluation and studying the problems which occur in other disciplines.
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| Textbook |
Course Notes
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| Additional References |
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"Calculus” Thomas- Finney Addison-Wesley , 1998
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Introduction to Mathematical Analsis” W.R. Porzynski, P.W.Zipse, Mc Graw-Hill Book Co, 1987
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"Advanced Calculus” Wilfred Kaplan Wesley-Publishing Company,1984
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|
| Prerequisite Courses |
-
|
| Prerequisite Subjects |
-
|
| Homework/Project |
-
|
| Laboratory |
-
|
| Computer Applications |
-
|
| Additional Practices |
-
|
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| Course Evaluation Criteria |
|
Number |
Effective Proportion % |
| Midterm Exams |
2
|
60
|
| Quiz |
-
|
-
|
| Homework |
-
|
-
|
| Term Projects |
-
|
-
|
| Term Papers |
-
|
-
|
| Laboratory |
-
|
-
|
| Other |
-
|
-
|
| Final Exam |
1
|
40
|
|
| Division of Course Credit (%) |
Basic Sciences |
-
% |
| Basic Engineering and Departmental Core Courses |
-
% |
| Departmental Core Courses |
100
% |
| Social Sciences |
-
% |
|
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| WEEKLY COURSE PLAN |
| Week |
Subject |
| 1 |
Real Numbers ; Complex numbers
|
| 2 |
Sequence of real numbers
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| 3 |
Sequence of real numbers
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| 4 |
One variable functions . Limits
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| 5 |
Continuity; Uniform continuity
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| 6 |
Derivative
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| 7 |
Analysing variation of functions
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| 8 |
1st midterm exam
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| 9 |
Studying variation of functions
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| 10 |
Parametric Equations; Polar Coordinates
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| 11 |
Differential, Fundamental theorem of differential calculus; Rolle and Mean-Value Theorems
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| 12 |
Series of real number
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| 13 |
2nd midterm exam
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| 14 |
Series of real number
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| 15 |
Power series; Taylor and Maclaurin series
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|
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| Prepared by |
Department of Mathematics
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Date |
01.01.2007
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