Information Package / Course Catalogue
| Course Code | : MAT154 |
| Course Type | : Required |
| Couse Group | : First Cycle (Bachelor's Degree) |
| Education Language | : English |
| Work Placement | : N/A |
| Theory | : 4 |
| Prt. | : 0 |
| Credit | : 4 |
| Lab | : 0 |
| ECTS | : 6 |
The aim of this course is to introduce the definite integral and to teach some applications of integral such as finding area and volume. To teach sequences and series and their convergence and divergence. To teach limit, continuity and partial derivatives of functions of several variables.
Definite Integrals, Fundamental Theorem of Calculus, Improper Integrals. Integration Applications; Area, Volume, Length, Average Value of Function, other Applications. Infinite Sequences and Series; Convergence Tests, Expreess the Functions as Power Series. Taylor and Maclaurin Series. Functions of Several Variables; Limit and Continuity, Partial Derivative, Chain Rule, Directional Derivative, Maximum and Minimum Values and Lagrange Multipliers.
| Assoc. Prof. Emrah YILDIRIM |
| Lec. Ahmet GENÇ |
| Lec. Erdal ÖZYURT |
| 1. | To be able to comprehend the basic output principle of the definite integral concept |
| 2. | To be able to understand the cause and effect relationship between definite and indefinite integrals |
| 3. | To be able to apply the integral to real-life usage areas |
| 4. | To be able to detect numerical series and convergence tests |
| 5. | To be able to calculate partial derivatives of functions of several variables |
| 1. | Kenneth A. Ross, Elementary Analysis: The Theory of Calculus, Springer-Verlag(1980) |
| 2. | Çoker ., Özer O., Taş K. ‘’ Genel Matematik’’, Cilt 1 (1996) |
| 3. | Thomas, G.B. and Finney, R.L.,”Calculus and Analytic Geometry”, 9th ed.,Addison Wesley,(1998) |
| 4. | Prof.Dr.Mustafa Balcı “Genel Matematik I” Balcı Yayınları |
| 5. | Doç.Dr.Cevdet Cerit,”Yüksek Matematik I” |
| Type of Assessment | Count | Percent |
|---|---|---|
| Midterm Examination | 1 | %40 |
| Final Examination | 1 | %60 |
| Activities | Count | Preparation | Time | Total Work Load (hours) |
|---|---|---|---|---|
| Lecture - Theory | 14 | 4 | 4 | 112 |
| Midterm Examination | 1 | 13 | 2 | 15 |
| Final Examination | 1 | 21 | 2 | 23 |
| TOTAL WORKLOAD (hours) | 150 | |||
PÇ-1 | PÇ-2 | PÇ-3 | PÇ-4 | PÇ-5 | PÇ-6 | PÇ-7 | PÇ-8 | PÇ-9 | PÇ-10 | PÇ-11 | PÇ-12 | |
OÇ-1 | 5 | 4 | 5 | 4 | 3 | 5 | 5 | |||||
OÇ-2 | 4 | 4 | 3 | 5 | 4 | 4 | 5 | |||||
OÇ-3 | 3 | 3 | 3 | 4 | 4 | 5 | 3 | |||||
OÇ-4 | 4 | 5 | 4 | 3 | 5 | 5 | 5 | |||||
OÇ-5 | 4 | 4 | 3 | 5 | 4 | 5 | 5 | |||||