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Course Title: |
GENERAL MATHEMATICS II |
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Course Code: |
FEN1008 |
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Type of Course: |
Compulsory |
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Level of Course: |
First Cycle |
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Year of Study: |
1 |
6 |
Semester: |
2 |
7 |
ECTS Credits Allocated: |
3 |
8 |
Theoretical (hour/week): |
2 |
9 |
Practice (hour/week) : |
0 |
10 |
Laboratory (hour/week) : |
0 |
11 |
Prerequisites: |
None |
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Recommended optional programme components: |
None |
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Language: |
Turkish |
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Mode of Delivery: |
Face to face |
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Course Coordinator: |
Dr. Ögr. Üyesi BAHTİYAR BAYRAKTAR |
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Course Lecturers: |
Prof.Dr. M. Emin Özdemir |
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Contactinformation of the Course Coordinator: |
E-mail: bbayraktar@uludag.edu.tr, İş Tel: +90(224) 294 22 98. Adres: UÜ, Eğitim Fakültesi, Matematik ve Fen Bilimleri Bölümü, Matematik Eğitimi Anabilim Dalı, 16059 Görükle / BURSA |
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Website: |
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Objective of the Course: |
The purpose of the course is to comprehend the importance of mathematics and the basic notions of the mathematical concepts, plus to gain practice skills in this specialty. |
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Contribution of the Course to Professional Development |
Creates and develops the knowledge base of the prospective teacher. Comprehends the concepts related to the field and the relations between concepts based on the competencies gained in secondary education. Have defines and analyzes problems related to his field, and develops solutions based on evidence and research. |
Week |
Theoretical |
Practical |
1 |
Some applications of the derivative (exponential uncertainty, increasing and decreasing intervals, extreme points). Exercises. |
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2 |
Maximum-minimum problems. Exercises. |
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3 |
Critical points of a function. Asymptotes and graphs. Exercises. |
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4 |
Definition of indefinite integral. Rules of integration. Differential equations and their solutions. |
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5 |
Some transformations of the indefinite integral. Integration of rational functions. Exercises |
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6 |
Partial integration. Exercises. |
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7 |
Integration of rational functions. Exercises. |
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8 |
Integrals of trigonometric functions. Exercises. |
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9 |
The definition and properties of the definite integrals. |
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10 |
Computational techniques of the definite integral. |
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11 |
Area and volume calculations using the definite integral. |
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12 |
Arc-length calculations using the definite integral. |
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13 |
Improper integral. |
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14 |
Improper integrals and their practice. |
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