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COURSE SYLLABUS
GENERAL MATHEMATICS II
1 Course Title: GENERAL MATHEMATICS II
2 Course Code: FEN1008
3 Type of Course: Compulsory
4 Level of Course: First Cycle
5 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
12 Recommended optional programme components: None
13 Language: Turkish
14 Mode of Delivery: Face to face
15 Course Coordinator: Dr. Ögr. Üyesi BAHTİYAR BAYRAKTAR
16 Course Lecturers: Prof.Dr. M. Emin Özdemir
17 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
18 Website:
19 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.
20 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.
21 Learning Outcomes:
1 Ascending and descending intervals of the function can be found. The critical points of a function can be found. The critical points of the function can be found. ;
2 Points of extreme of a function can be found.;
3 Analyzing of graphs and function drawing can be done.;
4 Indefinite integral can be defined. Techniques of integration are learnt. Different types of integral function can be taken with the help of methods of integration.;
5 Definitions and properties of the definite integral can be done. Techniques of calculation are learnt. Practice is made with the help of the specific integral. ;
22 Course Content:
Week Theoretical Practical
1 Some applications of the derivative (exponential uncertainty, increasing and decreasing intervals, extreme points). Exercises.
2 Maximum-minimum problems. Exercises.
3 Critical points of a function. Asymptotes and graphs. Exercises.
4 Definition of indefinite integral. Rules of integration. Differential equations and their solutions.
5 Some transformations of the indefinite integral. Integration of rational functions. Exercises
6 Partial integration. Exercises.
7 Integration of rational functions. Exercises.
8 Integrals of trigonometric functions. Exercises.
9 The definition and properties of the definite integrals.
10 Computational techniques of the definite integral.
11 Area and volume calculations using the definite integral.
12 Arc-length calculations using the definite integral.
13 Improper integral.
14 Improper integrals and their practice.
23 Textbooks, References and/or Other Materials: 1. Prof. Dr. Hilmi HACISALIHOGLU, Assoc. Dr. M. Balci. Basic and General Mathematics. Volume I, 4th Edition. Ankara, 1988.
2. Prof. Dr. Mustafa BALCI, General Mathematics. 5th Edition, 2008.
3. Prof. Dr. Ahmet A. KARADENIZ High Mathematics. Volume 1,2 , 4th Edition, 1985.
24 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 Techniques such as lecture, discussion, question-answer, 3E are used in the teaching of the course. Midterm and final exams are taken into consideration in the measurement and evaluation of the course.
Information Results are determined with the letter grade determined by the student automation system.
25 ECTS / WORK LOAD TABLE
Activites NUMBER TIME [Hour] Total WorkLoad [Hour]
Theoretical 14 2 28
Practicals/Labs 0 0 0
Self Study and Preparation 14 2 28
Homeworks, Performances 0 0 0
Projects 0 0 0
Field Studies 0 0 0
Midtermexams 1 15 15
Others 0 0 0
Final Exams 1 20 20
Total WorkLoad 106
Total workload/ 30 hr 3,03
ECTS Credit of the Course 3
26 CONTRIBUTION OF LEARNING OUTCOMES TO PROGRAMME QUALIFICATIONS
PQ1 PQ2 PQ3 PQ4 PQ5 PQ6 PQ7 PQ8 PQ9 PQ10 PQ11 PQ12 PQ13 PQ14 PQ15 PQ16
LO1 5 1 3 1 5 1 1 5 1 4 1 4 1 1 1 1
LO2 5 1 3 1 4 1 1 4 1 4 1 4 1 1 1 1
LO3 5 1 3 1 3 2 1 3 1 4 1 4 1 1 1 1
LO4 4 1 3 1 3 1 1 1 1 4 1 4 1 1 1 1
LO5 5 1 3 1 5 3 1 4 1 3 1 4 1 1 1 1
LO6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
LO7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
LO8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
LO9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
LO: Learning Objectives PQ: Program Qualifications
Contribution Level: 1 Very Low 2 Low 3 Medium 4 High 5 Very High
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