Information Package / Course Catalogue
Mathematical Analysis I
Course Code: MTK541
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: 6
Objectives of the Course

This course aims to acquaint students with the fundamental notions of mathematical analysis including the real and complex number systems, basic topology, numerical sequences and series, continuity, differentiation, the Riemann-Stieltjes Integral

Course Content

Real and complex number systems, basic topology, numerical sequences and series, continuity, differentiation, the Riemann-Stieltjes Integral.

Name of Lecturer(s)
Learning Outcomes
1.To be able to comprehend the basic concepts of mathematical analysis
2.To be able to develop mathematical sense
3.To be able to develop the capacity of posing and solving problems
4.To be able to gain the skill of interpreting some interrelations among these concepts
5.To be able to use mathematical concepts in solving certain types of problems
Recommended or Required Reading
1.Principles of Mathematical Analysis, Walter Rudin
2.Introduction to the real analysis, Robert G. Bartle and Donald R. Sherbert
Weekly Detailed Course Contents
Week 1 - Theoretical
Real and complex number systems
Week 2 - Theoretical
Real and complex number systems
Week 3 - Theoretical
Basic topology
Week 4 - Theoretical
Basic topology
Week 5 - Theoretical
Numerical sequences and series
Week 6 - Theoretical
Numerical sequences and series
Week 7 - Theoretical
Continuity
Week 8 - Theoretical
Continuity
Week 9 - Theoretical
Derivation
Week 10 - Theoretical
Derivation
Week 11 - Theoretical
Derivation
Week 12 - Theoretical
Derivation
Week 13 - Theoretical
Riemann-Stieltjes Integral
Week 14 - Theoretical
Riemann-Stieltjes Integral
Assessment Methods and Criteria
Type of AssessmentCountPercent
Assignment1%5
Term Assignment1%5
Midterm Examination1%20
Final Examination1%70
Workload Calculation
ActivitiesCountPreparationTimeTotal Work Load (hours)
Lecture - Theory141356
Assignment110212
Term Project110212
Individual Work140114
Midterm Examination120222
Final Examination132234
TOTAL WORKLOAD (hours)150
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
PÇ-14
PÇ-15
OÇ-1
4
3
3
OÇ-2
4
3
3
2
OÇ-3
4
4
2
OÇ-4
4
4
4
4
2
2
OÇ-5
4
4
3
3
3
2
Adnan Menderes University - Information Package / Course Catalogue
2026