Information Package / Course Catalogue
Analysis III
Course Code: MAT201
Course Type: Required
Couse Group: First Cycle (Bachelor's Degree)
Education Language: Turkish
Work Placement: N/A
Theory: 3
Prt.: 2
Credit: 4
Lab: 0
ECTS: 6
Objectives of the Course

This course aims to give fundemental concepts and methods of functions of several variables.

Course Content

Functions of several variables, Limits and continuity, Partial derivatives, The chain rule, Taylor series formula, Exact differential, Maximum and minimum values, Lagrange multipliers, Homogeneous functions, Vector functions, Directional derivatives.

Name of Lecturer(s)
Lec. Muhammet Ali OKUR
Learning Outcomes
1.To be able to comprehend the multivariate functions
2.To be able to comprehend and use the limit and continuity for multivariate functions
3.To be able to comprehend and use the derivative for multivariate functions
4.To be able to comprehend the vector functions
5.To be able to gain the skill of interpreting some interrelations among these concepts
Recommended or Required Reading
1.Stewart, J., “Kalkülüs, Kavram ve Kapsam”, TÜBA (2010)
2.Stein, S. K. and Barcellos, A., "Calculus and Analytic Geometry", McGraw Hill, (1992)
3.Thomas, G.B., “Thomas’ Calculus”, Addison Wesley (11th edition 2005)
4.Sokolnikoff, I. S., “Advanced Calculus”, McGraw Hill (1939)
5.Balcı, M., “Matematik Analiz 2”, Palme Yayıncılık (2021)
Weekly Detailed Course Contents
Week 1 - Theoretical & Practice
Functions of several variables
Week 2 - Theoretical & Practice
Limits and continuity
Week 3 - Theoretical & Practice
Partial derivatives, The chain rule
Week 4 - Theoretical & Practice
Mean value theorem
Week 5 - Theoretical & Practice
Taylor's formula for two variables
Week 6 - Theoretical & Practice
Exact differential
Week 7 - Theoretical & Practice
Maximum and minimum values
Week 8 - Theoretical & Practice
Lagrange multipliers (MIDTERM EXAM)
Week 9 - Theoretical & Practice
Homogenous function
Week 10 - Theoretical & Practice
Jacobian, transformations
Week 11 - Theoretical & Practice
Functional dependence
Week 12 - Theoretical & Practice
Leibniz formula
Week 13 - Theoretical & Practice
Vector functions
Week 14 - Theoretical & Practice
Directional derivatives and gradient vector
Assessment Methods and Criteria
Type of AssessmentCountPercent
Midterm Examination1%40
Final Examination1%60
Workload Calculation
ActivitiesCountPreparationTimeTotal Work Load (hours)
Lecture - Theory140342
Lecture - Practice140228
Individual Work140342
Midterm Examination114216
Final Examination120222
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
PÇ-16
PÇ-17
PÇ-18
OÇ-1
4
2
4
4
4
4
OÇ-2
3
2
4
4
4
4
OÇ-3
3
2
4
3
4
4
OÇ-4
3
2
4
4
4
OÇ-5
4
4
4
4
4
4
Adnan Menderes University - Information Package / Course Catalogue
2026