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Course Information

Course Title	Code	Semester	Laboratory+Practice (Hour)	Pool	Type	ECTS
Mathematics I	İST107	FALL	2+2		C	7

Learning Outcomes	1-Absorbs definition of the function and its basic functions. 2-Interpret the limits of functions at given points and their continuity states. 3-Applies the derivation to the problems of statistics and especially optimization problems. 4-Gains a rational thinking ability by problems in statistics. 5-Knows limit, continuity and differentiation rules in Statistics and Probability Theory

ECTS / WORKLOAD

Activity	Percentage (100)	Number	Time (Hours)	Total Workload (hours)
Course Duration (Weeks x Course Hours)		14	4	56
Classroom study (Pre-study, practice)		14	6	84
Assignments	10	1	10	10
Short-Term Exams (exam + preparation)	10	1	10	10
Midterm exams (exam + preparation)	30	1	20	20
Project	0	0	0	0
Laboratory	0	0	0	0
Final exam (exam + preparation)	50	1	30	30
Other	0	0	0	0
Total Workload (hours)				210
Total Workload (hours) / 30 (s)				7 ---- (7)
ECTS Credit				7

Course Content

Week	Topics	Study Metarials
1	Number systems, the concepts of absolute value and the exact value, inequalities and sample solutions on these issues	Lecture Note
2	Coordinate systems in the plane, finding the roots of complex equations and sample solutions on these topics	Lecture Note
3	Clusters of linear points and their characteristics and sample solutions on these issues	Lecture Note
4	The concept of function and features and sample solutions on these issues	Lecture Note
5	Elementary and non-elementary functions and sample solutions on these issues	Lecture Note
6	The concept of limit, Limit of a function, the left and right limits, and sample solutions on these issues	Lecture Note
7	Limit calculation rules and sample solutions for these topics	Lecture Note
8	Limit calculation rules and sample solutions for these topics	Lecture Note
9	Continuity, discontinuity types, properties of continuous functions and sample solutions on these issues	Lecture Note
10	Derivative, properties of the derivative, derivative of trigonometric and inverse trigonometric functions and sample solutions on these issues	Lecture Note
11	Derivative of the logarithm function, derivative of the exponential function, derivative hyperbolic and inverse hyperbolic functions and sample solutions on these issues	Lecture Note
12	Derivative of implicit functions, parametric equatio the derivative of the functions with parametric equations, higher order derivatives and sample solutions on these issues	Lecture Note
13	Investigation of the function properties, presence of extreme points, monotony and have inner and outer convex regions and sample solutions on these issues	Lecture Note
14	Asymptotes, drawing of function graph and sample solutions about these topics	Lecture Note

Prerequisites	-
Language of Instruction	Turkish
Responsible	Dr. Öğr. Üyesi Tuba KOÇ
Instructors	-
Assistants	-
Resources	Balcı, M. ?Matematik Analiz ?, Cilt-1, Balcı Yayınları, Kızılay/Ankara, 2003
Supplementary Book	1. Halilov, H., Hasanoğlu, A. ve Can, M. ?Yüksek Matematik I Tek değişkenli Fonksiyonlar Analizi?, Literatür Yayıncılık, İstanbul, 1999. 2. Hacısalihoğlu, H. H. Ve Balcı, M. ? Temel ve Genel Matematik?, Cilt I, Ertem Basın Yayın dağıtım, Ankara, 1996. 3.Çallıalp, F. Ve Canoğlu, A. ?Çözümlü Matematik Analiz I-II?, Marmara Üniv. Atatürk Eğitim Fak., İstanbul,1999. 4. Cerit, C. Ve Canoğlu A., ? Matematik Analiz I?, İstanbul, 1991. 5. Cerit, C. ?Çözümlü Yüksek Matematik ?Calculus- Problemleri 1?, İ.T.Ü. Fen-Edeb. Fak., İstanbul, 1998. 6. Balcı, M. ?Çözümlü Matematik Analiz Problemleri?, Cilt-1, Balcı Yayınları, Kızılay/Ankara, 2003
Goals	The introduction of a single variable functions are the basic subjects of mathematics and for these functions, limits, continuity, derivatives and the concepts of function curves. The ability to apply mathematics, statistics problems, giving a rational and analytical manner.
Content	Numbers, Functions, Limits and Continuity of Functions, Derivatives and Applications, Curve sketching

Program Learning Outcomes

	Program Learning Outcomes	Level of Contribution
1	To have informations about conceptional, theoretical and applied statistics and and associates the concepts with each other.	-
2	To collect, save and arrange the statistical data, builds the proper tables and graphics to summarize data	-
3	To analyse the data, to able to determine suitable statistical method, to make more efficient inferences and forecasts for the future	-
4	To design and analyse an experiment and interpreting the results	-
5	To have the knowlegde about Mathematics and Economics	3
6	To define statistics problems and develop suggestions by using statistical survey.	1
7	To use the profiency knowlegde on interdiscipliner studies	1
8	To have the ability of planing, managing and reporting of a project	-
9	To use computer softwares and programmes for statistics methods.	-
10	To have the ability of analythical thinking	3
11	To have the individual study skills and be capable of independent decision-making	3
12	To have the qualifications required for team work	-
13	To follow developments in statistics field by using a foreign language and can be connected with their colleagues.	3
14	To have scientific and ethnical values in data collection and interpretation in statistics dicipline.	4

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