| Course Unit Title | Course Unit Code | Type of Course Unit | Level of Course Unit | Year of Study | Semester | ECTS Credits |
|---|---|---|---|---|---|---|
| Mathematics II | HUF102 | Compulsory | Bachelor's degree | 1 | Spring | 5 |
Name of Lecturer(s)
Prof. Dr. Serap BULUT
Prof. Dr. Nevin Gamze KARSLI YILMAZ
Learning Outcomes of the Course Unit
1) Define the concepts of limit and continuity
2) Calculate limit
3) Calculate derivatives
4) Define the concept of integral
5) Explain the rules of integral
6) Calculate area using integral
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 | ||
| Learning Outcomes | |||||||||||||||||||
| 1 | No relation | High | No relation | No relation | No relation | No relation | High | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
| 2 | No relation | High | No relation | No relation | No relation | No relation | High | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
| 3 | No relation | High | No relation | No relation | No relation | No relation | High | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
| 4 | No relation | High | No relation | No relation | No relation | No relation | High | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
| 5 | No relation | High | No relation | No relation | No relation | No relation | High | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
| 6 | No relation | High | No relation | No relation | No relation | No relation | High | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
Mode of Delivery
Face to Face
Prerequisites and Co-Requisites
None
Recommended Optional Programme Components
Not Required
Course Contents
This course covers; limit, continuity, differantial equations, partial differantials, application of differantials Integral, definite integral, indefinite integrals, integration method and applications, arrays, series, power of series, serie expression of functions, arc lenght, area and volume of surface of revolution, coordinate systems.
Weekly Schedule
1) Limit, continuity2) Limit, continuity
3) Limit, continuity
4) Differantials, partial differantials, application of differantials
5) Logarithms, derivative of exponential function, logarithmic derivative, derivative of parametric function
6) High-order derivatives, geometric meaning of the derivative, differential, and aproximate calculation
7) Applications of derivatives, curve sketching
8) Midterm examination/Assessment
9) Indefinite integral, basic integration formulas, integration techniques, change of variable method, the partial integration method
10) The area under a curve, properties of definite integrals
11) The fundamental theorem of integral calculus, the area calculation
12) Area calculation
13) Arc-length calculation
14) Area and volume of solid objects
15) General review
16) Final examination
Recommended or Required Reading
1- Genel Matematik 1, Mustafa Balcı, Balcı Yayınları.
2- Genel Matematik Cilt 1, Doğan Çoker - Orhan Özer - Kenan Taş - Yalçın Küçük, Bilim Yayıncılık.
3- Çözümlü genel matematik problemleri; Mustafa Balcı
Planned Learning Activities and Teaching Methods
1) Lecture
2) Question-Answer
3) Group Study
4) Case Study
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