COURSE SYLLABUS

GENERAL MATHEMATICS AND TEACHING I

1	Course Title:	GENERAL MATHEMATICS AND TEACHING I
2	Course Code:	MAT5119
3	Type of Course:	Optional
4	Level of Course:	Second Cycle
5	Year of Study:	1
6	Semester:	1
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:
17	Contactinformation of the Course Coordinator:	E-mail: bbayraktar@uludag.edu.tr, İş Tel: +90(224) 294 22 98. Adres: UÜ, Eğitim Fakültesi, İlköğretim 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

Learning Outcomes:

1	Concepts and properties of proposition can be defined. The principle of induction and the concepts of range and absolute value are learnt.;
2	Set concept is known and operations related with it can be done. Systems of numbers and their properties are learnt. The base arithmetic is known.;
3	Relation concept and its properties are known. Equivalence and ordered relation can be described.;
4	The definition of the concept of function, its types and features are known.;
5	The concept of limit and its characteristics are known.;
6	Limit calculations can be done.;
7	The concept of continuity and its features are known. ;
8	The concept of continuity and types of discontinuity are known. ;
9	The concept of derivative can be defined.;
10	The rules of derivation are known. ;

22	Course Content:

Week	Theoretical	Practical
1	Propositional logic. General concepts and processes. Main characteristics of the operations. Proving methods. Exercises.
2	The concept of sets. Operations related with sets. Exercises..
3	System of numbers. Definitions. The base of arithmetic. Exponential, root and logarithmic numbers. Exercises.
4	Absolute value. Complex numbers. Exercises. Polar notation of complex numbers. Equations of nth roots. Exercises.
5	Relation: Ordered pairs, cartesian product, the definition of correlation, properties of relation, inverse relation. Equivalence Relation and Order Relation.
6	Definition of function, function types, inverse function, composite functions. Some special functions (linear, quadratic functions)
7	Some special functions (absolute value, notation, the exact value, polynomial, rational, closed, partial, parametric).
8	Trigonometric functions, inverse-trigonometric functions and their graphs.
9	Exponential functions, logarithmic functions. Practice related with Functions. Exercises.
10	The concept of limit. A variable approach, the limit of functions. One-way limits. Formulas of limit calculation and calculation techniques.
11	The concept of continuity, right and left continuity, features of continuous functions, discontinuity types. Exercises.
12	Derivative concept, geometric and physical interpretation of the derivative. Derivation rules, high-ordered derivatives. Exercises.
13	Derivation rules, derivative of inverse and compound functions. High-ordered derivatives. Exercises.
14	Derivative of the parametric and closed functions. Exercises.

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
Information

ECTS / WORK LOAD TABLE

Activites	NUMBER	TIME [Hour]	Total WorkLoad [Hour]
Theoretical	14	4	56
Practicals/Labs	0	0	0
Self Study and Preparation	14	5	70
Homeworks, Performances	0	0	0
Projects	0	0	0
Field Studies	0	0	0
Midtermexams	1	8	8
Others	0	0	0
Final Exams	1	16	16
Total WorkLoad			150
Total workload/ 30 hr			5
ECTS Credit of the Course			5

CONTRIBUTION OF LEARNING OUTCOMES TO PROGRAMME QUALIFICATIONS

LO: Learning Objectives

PQ: Program Qualifications

Contribution Level:

1 Very Low

2 Low

3 Medium

4 High

5 Very High