| Course Unit Title | Course Unit Code | Type of Course Unit | Level of Course Unit | Year of Study | Semester | ECTS Credits |
|---|---|---|---|---|---|---|
| Analysis 3 | IMO204 | Compulsory | Bachelor's degree | 2 | Spring | 5 |
Name of Lecturer(s)
Assistant Prof. Dr. Cüneyt YAZICI
Learning Outcomes of the Course Unit
1) Define rules of limit on two valued and real valued functions.
2) Clarify concept of continuity and discontinuity on two valued and real valued functions.
3) Clarify partial derivative and chain rule on two valued and real valued functions.
4) Solve linearization of functions by the help of partial derivative on two valued and real valued functions and local maximum-minimum problems.
5) Solve maximum-minimum problems by the help of Lagrange Factors on two valued and real valued functions.
6) function sequences and series.
Program Competencies-Learning Outcomes Relation
| Program Competencies | ||||||||||||||
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | ||
| Learning Outcomes | ||||||||||||||
| 1 | High | Middle | High | High | High | Middle | Middle | Low | High | High | High | Middle | Middle | |
| 2 | High | Middle | Middle | High | High | High | Middle | Middle | Middle | High | High | Middle | Middle | |
| 3 | High | Low | Middle | Middle | High | High | Middle | Low | High | Middle | Middle | High | High | |
| 4 | High | High | Middle | Middle | High | Middle | Middle | High | High | Middle | Middle | High | Middle | |
| 5 | High | Middle | Middle | High | High | Middle | Middle | Middle | High | High | High | Middle | Middle | |
| 6 | High | Middle | Middle | Low | Middle | High | Middle | Middle | High | High | High | Middle | Middle | |
Mode of Delivery
Face to Face
Prerequisites and Co-Requisites
None
Recommended Optional Programme Components
There are no recommended courses.
Course Contents
Multivariable functions; Topology of IRN, limit, continuity, function series and series; derivative, directional derivative, partial derivative, geometric interpretation of partial derivative, higher order derivatives and chain rule.
Weekly Schedule
1) Topology of real numbers2) Multivariable function concept, function definition and value sets, some function drawings
3) Limit concept in two variable functions
4) Limit applications in two variable functions, continuity concept
5) Partial derivative in two variable functions, linearization
6) Chain rule
7) Chain rule applications, closed function derivation
8) Midterm exam / Evaluation
9) Extremum and absolute extremum points of functions
10) Extremum problems and applications in various fields
11) Lagrange Multipliers method and its applications
12) Lagrange Multipliers method and its applications
13) Region conversions
14) Function sequences
15) Function series
16) Semester final exam
Recommended or Required Reading
1- Matematik Analiz 2 Prof. Dr. Mustafa BALCI
Planned Learning Activities and Teaching Methods
1) Lecture
2) Question-Answer
3) Discussion
4) Brain Storming
5) Problem Solving
Assessment Methods and Criteria
Contribution of Midterm Examination to Course Grade |
40% |
|---|---|
Contribution of Final Examination to Course Grade |
60% |
Total |
100% |
Language of Instruction
Turkish
Work Placement(s)
Not Required