Information Package / Course Catalogue
Basic Concepts in Mathematics
Course Code: MTE523
Course Type: Area Elective
Couse Group: Second Cycle (Master's Degree)
Education Language: Turkish
Work Placement: N/A
Theory: 3
Prt.: 0
Credit: 3
Lab: 0
ECTS: 8
Objectives of the Course

To improve the ability to use basic mathematical concepts effectively.

Course Content

Proof techniques. Set of natural numbers, set of integers, set of rational numbers, set of real numbers and their properties. Cartesian product and relations. Function concept and its inverse functions, graphs of functions. Limit and continuity of functions. Sum and product symbol properties, basic concepts about series and series. Complex numbers and properties.

Name of Lecturer(s)
Lec. Serhan ULUSAN
Learning Outcomes
1.Explain the techniques of proof and the concept of set.
2.Interprets number sets and properties.
3.Describe the concepts of cartesian product and relations.
4.Solves problems about function concept, types and graphics.
5.Express limit and continuity of functions.
6.Interpret the properties of the sum and product symbol.
7.Define basic concepts about sequence and series.
8.Describe complex numbers and properties.
Recommended or Required Reading
1.Stewart, J. Calculus. California: A Division of Publishing Company. 1991.
2.Joel R. Hass, George B. Thomas, Maurice D. Weir, Thomas Calculus I-II, Çeviri Editörü Mustafa Bayram, Pearson Yayıclık, 2010.
3.Prof. Dr. Ahmet A. KARADENİZ, Yüksek Matematik, Cilt 1, 2. 4. Baskı, 1985.
4.Prof. Dr. Mustafa BAYRAKTAR, Analize giriş I, II. 2. Baskı, 2008.
Weekly Detailed Course Contents
Week 1 - Theoretical
Mathematical proof techniques.
Week 2 - Theoretical
Set concept: finite, infinite, countable sets.
Week 3 - Theoretical
Set of natural numbers, set of integers.
Week 4 - Theoretical
Set of rational numbers, set of real numbers.
Week 5 - Theoretical
Cartesian product and relation concept.
Week 6 - Theoretical
Relation properties, partial order, order relations.
Week 7 - Theoretical
Function concept and types.
Week 8 - Theoretical
Operations on functions and graphs of functions. (Midterm exam)
Week 9 - Theoretical
Limit of functions.
Week 10 - Theoretical
Continuity of functions.
Week 11 - Theoretical
Summation notation.
Week 12 - Theoretical
Product notation.
Week 13 - Theoretical
Sequence and series concepts.
Week 14 - Theoretical
Complex numbers.
Assessment Methods and Criteria
Type of AssessmentCountPercent
Midterm Examination1%30
Final Examination1%70
Workload Calculation
ActivitiesCountPreparationTimeTotal Work Load (hours)
Lecture - Theory142370
Individual Work140342
Midterm Examination136238
Final Examination148250
TOTAL WORKLOAD (hours)200
Contribution of Learning Outcomes to Programme Outcomes
PÇ-1
PÇ-2
PÇ-3
PÇ-4
PÇ-5
PÇ-6
PÇ-7
PÇ-8
PÇ-9
PÇ-10
PÇ-11
PÇ-12
PÇ-13
OÇ-1
3
3
4
3
4
1
1
2
3
2
OÇ-2
3
2
4
3
4
1
1
2
3
2
OÇ-3
3
3
4
3
4
1
1
2
3
2
OÇ-4
4
3
4
3
4
2
2
2
2
2
OÇ-5
4
2
3
3
4
1
1
2
2
2
OÇ-6
2
2
3
3
4
2
2
3
3
2
OÇ-7
2
2
3
3
4
1
1
3
3
2
OÇ-8
2
2
3
3
4
2
2
3
2
2
Adnan Menderes University - Information Package / Course Catalogue
2026