Information Package / Course Catalogue - Adnan Menderes University

General Information Unit Staff Academic Information Programme Outcomes Course Structure Diagram Contact Information

Person Responsible for Information Package

Assoc. Prof. Aynur UÇKAÇ

Assoc. Prof. Sercan YAVAN

Assoc. Prof. Şansel ÖZPINAR

Lec. Demet AKDENİZ

Lec. Gülizar Seda YILMAZ

Lec. Tarık ILİMAN

Res. Assist. Erkam SARI

General Mathematics I

Course Code	: MAT173
Course Type	: Required
Couse Group	: First Cycle (Bachelor's Degree)
Education Language	: Turkish
Work Placement	: N/A

Theory	: 3
Prt.	: 0
Credit	: 3
Lab	: 0
ECTS	: 5

Objectives of the Course

The aim of the course is to give knowledge about relation, function, limit, continuity and derivation in order to construct a basic mathematical structure, and to gain the ability of thinking rationally for solving problems.

Course Content

Sets and numbers, line equations in the coordinate system, some special functions, limit and continuity, derivation

Name of Lecturer(s)

Ins. Nihal GÜNEL

Lec. Ahmet ÜNLÜ

Learning Outcomes

1.	Defines and classifies fundamental mathematical concepts such as sets, numbers, and functions.
2.	Analyzes the behavior of functions using the concepts of limits, indeterminate forms, and continuity.
3.	Applies differentiation rules and interprets tangent lines and graphs related to the derivative of a function
4.	Solves maximum and minimum problems using derivatives and interprets them in an economic context.
5.	Constructs curve sketches and performs graphical analysis using derivatives of various functions.

Recommended or Required Reading

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”

Weekly Detailed Course Contents

Week 1 - Theoretical

Sets

Week 2 - Theoretical

Numbers and Functions

Week 3 - Theoretical

Coordinates in plane and line equations

Week 4 - Theoretical

Properties of functions

Week 5 - Theoretical

Limit and its properties

Week 6 - Theoretical

Indeterminate forms at limits(Uncertainty of limits.)

Week 7 - Theoretical

Continuity (Midterm)

Week 8 - Theoretical

Definition of derivation and derivation rules

Week 9 - Theoretical

Tangent line of a curve

Week 10 - Theoretical

Derivation of Special Functions

Week 11 - Theoretical

Theorems on derivatives

Week 12 - Theoretical

Theorems on derivation and geometrical interpretation of derivation

Week 13 - Theoretical

Problems of maximum and minimum

Week 14 - Theoretical

Graphing a curve

Assessment Methods and Criteria

Type of Assessment	Count	Percent
Midterm Examination	1	%40
Final Examination	1	%60

Workload Calculation

Activities	Count	Preparation	Time	Total Work Load (hours)
Lecture - Theory	14	4	3	98
Midterm Examination	1	10	2	12
Final Examination	1	15	2	17
TOTAL WORKLOAD (hours)				127

Contribution of Learning Outcomes to Programme Outcomes

	PÇ-1	PÇ-2	PÇ-3	PÇ-4	PÇ-5	PÇ-6	PÇ-7	PÇ-8	PÇ-9	PÇ-10
OÇ-1	2	4	1	2	2	2	3	3	5	3
OÇ-2	2	4	1	2	2	2	3	3	5	3
OÇ-3	2	4	1	2	2	2	3	3	5	3
OÇ-4	2	4	1	2	2	2	3	3	5	3
OÇ-5	2	5	1	2	2	2	3	3	5	3