Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | AE-MT103 | Analysis 1 | Compulsory | 1 | 1 | 3 |
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Level of Course Unit |
First Cycle |
Objectives of the Course |
To be able to examine real-time and real-valued functions and interpret graphs; strengthening the concepts of limit, continuity and derivative; draw the graphs of functions; to be able to transfer the acquired knowledge to other courses; Analysis-ll for the course to create the infrastructure. |
Name of Lecturer(s) |
Prof. Dr. Rabil Ayazoğlu |
Learning Outcomes |
1 | 1. 1. Will be able to define sets and number systems. 2. will be able to define the limit of a single valued function at a point. 3. Will be able to define the continuity of a function at a point. 4. Will be able to define discontinuity and identify different types of discontinuity. 5. Will be able to define the derivative of a function at a point. 6. Will be able to tell the relationship between the extreme points of a function and its derivative at this point. 7. will be able to draw the graph of a function. |
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Mode of Delivery |
Normal Education |
Prerequisites and co-requisities |
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Recommended Optional Programme Components |
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Course Contents |
To be able to examine real-time and real-valued functions and interpret graphs; strengthening the concepts of limit, continuity and derivative; draw the graphs of functions; to be able to transfer the acquired knowledge to other courses; Analysis-ll for the course to create the infrastructure. |
Weekly Detailed Course Contents |
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1 | Clusters and number systems;
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Relationship, types of functions | | | 3 |
Exponential functions and logarithmic functions | | | 4 |
Limit, | | | 5 |
Continuity | | | 6 |
Concept of discontinuity and types of discontinuity | | | 7 |
Limit and continuity concepts | | | 8 |
Definition of derivative and rules of derivative | | | 9 |
Definition of derivative and rules of derivative | | | 10 |
Applications of derivative | | | 11 |
Applications of derivative | | | 12 |
Graphical drawing of functions | | | 13 |
Graphical drawing of functions | | | 14 |
General evaluation of the course | | | 15 |
final exam | | |
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Recommended or Required Reading |
Ders notları
• Diğer Kaynaklar:
• Demir, H. 2008; Teori ve Problemleri ile Analiz I, Pegem, Ankara.
• Balcı, M. 2008; Matematik Analiz I, Balcı Yayınları, Ankara. |
Planned Learning Activities and Teaching Methods |
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Assessment Methods and Criteria | |
Midterm Examination | 1 | 100 | SUM | 100 | |
Final Examination | 1 | 100 | SUM | 100 | Term (or Year) Learning Activities | 40 | End Of Term (or Year) Learning Activities | 60 | SUM | 100 |
| Language of Instruction | | Work Placement(s) | |
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Workload Calculation |
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Midterm Examination | 1 | 1 | 1 |
Final Examination | 1 | 2 | 2 |
Discussion | 1 | 3 | 3 |
Question-Answer | 2 | 3 | 6 |
Team/Group Work | 2 | 3 | 6 |
Brain Storming | 1 | 1 | 1 |
Report Preparation | 2 | 3 | 6 |
Project Preparation | 2 | 3 | 6 |
Role Play/Dramatization | 2 | 3 | 6 |
Self Study | 10 | 5 | 50 |
Individual Study for Homework Problems | 1 | 3 | 3 |
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Contribution of Learning Outcomes to Programme Outcomes |
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* Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High |
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