Information Package / Course Catalogue
Mathematical Analysis II
Course Code: MTK542
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

This course aims to acquaint students with the fundamental notions of Mathematical Analysis including sequences and series of functions, some special functions, functions of several variables, integration of differential forms, the Lebesque theory

Course Content

Sequences and series of functions, some special functions, functions of several variables, integration of differential forms, the Lebesque theory

Name of Lecturer(s)
Learning Outcomes
1.To be able to comprehend the basic concept 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, W. Rudin
2.Introduction to the real analysis, Robert G. Bartle and Donald R. Sherbert
Weekly Detailed Course Contents
Week 1 - Theoretical
Sequences and series of functions
Week 2 - Theoretical
Sequences and series of functions
Week 3 - Theoretical
Sequences and series of functions
Week 4 - Theoretical
Some special functions
Week 5 - Theoretical
Some special functions
Week 6 - Theoretical
Functions of several variables
Week 7 - Theoretical
Functions of several variables
Week 8 - Theoretical
Functions of several variables
Week 9 - Theoretical
Integration of differential forms
Week 10 - Theoretical
Integration of differential forms
Week 11 - Theoretical
Integration of differential forms
Week 12 - Theoretical
Integration of differential forms
Week 13 - Theoretical
Lebesque theory
Week 14 - Theoretical
Lebesque theory
Assessment Methods and Criteria
Type of AssessmentCountPercent
Assignment1%20
Midterm Examination1%30
Final Examination1%50
Workload Calculation
ActivitiesCountPreparationTimeTotal Work Load (hours)
Lecture - Theory140342
Assignment220244
Midterm Examination150252
Final Examination160262
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
PÇ-14
PÇ-15
OÇ-1
5
4
4
OÇ-2
5
4
4
2
OÇ-3
4
4
2
OÇ-4
5
4
4
3
OÇ-5
5
4
4
3
Adnan Menderes University - Information Package / Course Catalogue
2026