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

Prof. Fatih ERSAN

Prof. Melis GÖKÇE

Assoc. Prof. Yelda KADIOĞLU

Lec. Cenk AKYÜZ

Lec. Şerife Gökçe ÇALIŞKAN

Calculus I

Course Code	: MAT153
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

Objectives of the Course

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

Course Content

Numbers, functions, concepts of limit and continuity at functions, derivation and its applications, technique of integration.

Name of Lecturer(s)

Ins. Nihal GÜNEL

Lec. Ahmet GENÇ

Lec. Seçkin GÜNSEN

Res. Assist. Mehmet Soner PEHLİVAN

Learning Outcomes

1.	Ability to understand definition of function and basic functions,
2.	Ability to draw the special functions practically
3.	Ability to interpret limit and continuity of functions at given points
4.	Ability to find derivation of given function at a point
5.	Ability to use derivation in daily life problems
6.	Finding the antiderivative of a function and the importance of the fundamental theorem of calculus

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

Precalculus, basic functions

Week 2 - Theoretical

Inverse functions, trigonometric, logarithmic, exponential functions

Week 3 - Theoretical

Limit of functions, Formal definition of limit, Limit laws

Week 4 - Theoretical

Continiuty, One sided continuity

Week 5 - Theoretical

Definition of derivative, Functions derivative, Derivative rules

Week 6 - Theoretical

Rate of Chance, Related rates, Lineerization and differential

Week 7 - Theoretical

Chain rule, derivative of implicit functions, derivative of inverse functions

Week 8 - Theoretical

Aplication of derivative, Extreme values of functions, Mean value theorem (Midterm)

Week 9 - Theoretical

First and second derivative test, Monotonic functions, Concavity, Sketching graph of functions

Week 10 - Theoretical

L’Hospital rule, Optimization

Week 11 - Theoretical

Antiderivative

Week 12 - Theoretical

Definite integral, Riemman integral

Week 13 - Theoretical

The fundamental theorem of calculus, substitution

Week 14 - Theoretical

Indefinite integrals, Techniques of integration

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	4	112
Midterm Examination	1	13	2	15
Final Examination	1	21	2	23
TOTAL WORKLOAD (hours)				150

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	PÇ-11	PÇ-12	PÇ-13	PÇ-14
OÇ-1	1	3	4
OÇ-2		2	2	1		1
OÇ-3	1	3	4				1						1
OÇ-4	1	3	3			1							2
OÇ-5	1	3	3										2
OÇ-6		2	2										1