| Course Unit Title | Course Unit Code | Type of Course Unit | Level of Course Unit | Year of Study | Semester | ECTS Credits |
|---|---|---|---|---|---|---|
| Mathematics II | FEF104 | Compulsory | Bachelor's degree | 1 | Spring | 6 |
Name of Lecturer(s)
Prof. Dr. Halis AYGÜN
Prof. Dr. Abdülkadir AYGÜNOĞLU
Prof. Dr. İrem BAĞLAN
Prof. Dr. Ali DEMİR
Prof. Dr. Vildan GÜLKAÇ
Prof. Dr. Çiğdem GÜNDÜZ
Prof. Dr. Zahir MURADOĞLU
Prof. Dr. Neşe ÖMÜR
Prof. Dr. Serdal PAMUK
Prof. Dr. Haydar SOYSÜREN
Associate Prof. Dr. Arzu AKGÜL
Associate Prof. Dr. Mine Aylin BAYRAK
Associate Prof. Dr. Arzu COŞKUN
Associate Prof. Dr. Selda ÇALKAVUR
Associate Prof. Dr. Vildan ÇETKİN
Associate Prof. Dr. Evrim GÜVEN
Associate Prof. Dr. İlim KİŞİ
Associate Prof. Dr. Hülya KODAL SEVİNDİR
Associate Prof. Dr. Sibel KOPARAL
Associate Prof. Dr. Günay ÖZTÜRK
Associate Prof. Dr. Banu PAZAR VAROL
Associate Prof. Dr. Yücel TÜRKER ULUTAŞ
Assistant Prof. Dr. Metin BAYRAK
Assistant Prof. Dr. Celal ÇEŞMECİ
Assistant Prof. Dr. İsmail DÜZYOL
Assistant Prof. Dr. Ahmet ZOR
Lecturer Aynur ERDEK
Lecturer Mevlüt SEVİNDİR
Research Assistant Ebru AYDOĞDU
Research Assistant Dr. Gülcan ÖZKUM
Learning Outcomes of the Course Unit
1) Define vector, line and plane on 3-D space.
2) Do coordinate transformations.
3) Calculate limit for multivariable functions.
4) Define continuity for multivariable functions.
5) Calculate partial derivatives.
6) Define notions for directional derivatives and differential.
7) Solve Max-Min problems.
8) Calculate double and triple integrals.
9) Calculate line integrals.
10) Calculate surface integrals.
Program Competencies-Learning Outcomes Relation
| Program Competencies | ||||||||||||||||||||
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | ||
| Learning Outcomes | ||||||||||||||||||||
| 1 | High | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | |
| 2 | High | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | |
| 3 | High | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | |
| 4 | High | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | |
| 5 | High | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | |
| 6 | High | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | |
| 7 | High | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | |
| 8 | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | |
| 9 | High | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | |
| 10 | High | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | |
Mode of Delivery
Face to Face
Prerequisites and Co-Requisites
None
Recommended Optional Programme Components
Not Required
Course Contents
Vectors in 3-dimensions; Lines and planes; Koordinate systems and koordinate transformations; Vector valued functions; Multivariable functions: Limit, Continuity, Partial derivatives, Chain rule, Directional derivative, Differential, Max-Min problems, Langrange multiplier; Double and triple integrals and their applications, Line and surface integrals.
Weekly Schedule
1) Vectors in 3-dimensions, lines and planes2) Coordinate systems and coordinate transformations
3) Vector valued functions, multivariable functions
4) Limit
5) Continuity
6) Partial derivatives, chain rule
7) Directional derivative, differential
8) Midterm examination/Assessment
9) Max-Min problems
10) Lagrange multipliers
11) Double and triple integrals and their applications
12) Double and triple integrals and their applications
13) Double and triple integrals and their applications
14) Line and surface integrals
15) Line and surface integrals
16) Final examination
Recommended or Required Reading
1- Genel Matematik 2, Mustafa Balcı
2- Calculus, 10th Edition, G.B Thomas, R. L. Finney, M.D.Weir, F.R.Giordano
Planned Learning Activities and Teaching Methods
1) Lecture
2) Question-Answer
3) Discussion
4) Drill and Practice
5) Problem Solving
Assessment Methods and Criteria
Contribution of Semester Studies to Course Grade |
40% |
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|---|---|---|---|---|---|---|---|---|---|---|---|---|
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Contribution of Final Examination to Course Grade |
60% |
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Total | 100% | |||||||||||
Language of Instruction
Turkish
Work Placement(s)
Not Required