Matematik bölümünün tüm öğretim üyesi ve öğretim görevlileri
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Contactinformation of the Course Coordinator:
E-posta: sibelkoparal@uludag.edu.tr Telefon: +90 224 2942846 Adres: Bursa Uludağ Üniversitesi Fen-Edebiyat Fakültesi Matematik Bölümü 16059 Görükle-Bursa-TÜRKİYE
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Website:
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Objective of the Course:
is to give sufficient mathematics knowledge to solve engineering problems to students and also to improve the ability of finding solution to problems and analytical thinking.
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Contribution of the Course to Professional Development
The course enables to use the math skills they have gained for the analysis and solution of complex problems that will be encountered in engineering applications.
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Learning Outcomes:
1
Knows the concept of integral;
2
Learns the rules of calculating integral
;
3
Calculates integral of functions
;
4
Learns the applications of integral
;
5
Knows the concept of serie
;
6
Determines whether a serie is convergent or not
;
7
Knows power series.
;
8
Knows some basic definitons and theorems of mathematics
;
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Course Content:
Week
Theoretical
Practical
1
The indefinite integral,area.
Solving problem
2
Upper and lower sums
Solving problem
3
The fundamental theorem of integration
Solving problem
4
Inequalities and improper integrals
Solving problem
5
Techniques of integration
Solving problem
6
Techniques of integration
Solving problem
7
Applications of integratin(length of curves,surface of revolution)
Solving problem
8
Midterm exam and evaluation of midterm exam, repeat of previous subjects
Solving problem
9
Applications of integratin(volumes of revolution,work and center of gravity).
Solving problem
10
Taylor’s formula and estimate for the remainder
Solving problem
11
Convergent series,series with positive terms.
Solving problem
12
Convergence Tests
Solving problem
13
Power series
Solving problem
14
Differentiation and integration of power series and their some applications
Solving problem
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Textbooks, References and/or Other Materials:
1-A First Course in Calculus, Serge Lang, World Student Series Third Edition, Addison-Wesley Publishing Company, ISBN:0-201-04148-0 2-Thomas Calculus, 11.Edition,Pearson Addison-Wesley Publishing Company -2005 3) Temel Matematik, Basri Çelik, İsmail Naci Cangül, Nisa Çelik, Osman Bizim, Metin Öztürk; Dora Yayınları, 2010 4) Matematik Cilt I (Calculus),Çeviri Editörü Prof. Dr. İsmail Naci CANGÜL, Nobel YayınAkademik Yayıncılık,2015 ISBN:978-605-133-629-9
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Assesment
TERM LEARNING ACTIVITIES
NUMBER
PERCENT
Midterm Exam
1
40
Quiz
0
0
Homeworks, Performances
0
0
Final Exam
1
60
Total
2
100
Contribution of Term (Year) Learning Activities to Success Grade
40
Contribution of Final Exam to Success Grade
60
Total
100
Measurement and Evaluation Techniques Used in the Course
Classic or multiple-choice exam. (Midterm and Final Exam)
Information
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ECTS / WORK LOAD TABLE
Activites
NUMBER
TIME [Hour]
Total WorkLoad [Hour]
Theoretical
14
3
42
Practicals/Labs
14
2
28
Self Study and Preparation
14
2
28
Homeworks, Performances
0
0
0
Projects
0
0
0
Field Studies
0
0
0
Midtermexams
1
13
13
Others
14
4
56
Final Exams
1
13
13
Total WorkLoad
193
Total workload/ 30 hr
6
ECTS Credit of the Course
6
26
CONTRIBUTION OF LEARNING OUTCOMES TO PROGRAMME QUALIFICATIONS
