Ordu University Lifelong Learning Programme

Description of Individual Course Units

Course Unit Code	Course Unit Title	Type of Course Unit	Year of Study	Semester	Number of ECTS Credits
IMO2012013331	ANALYSIS I	Compulsory	2	3	8

Level of Course Unit

First Cycle

Objectives of the Course

To teach and do applications related to differential and integral calculus which are the main two sections of mathematical analysis.

Name of Lecturer(s)

Doç. Dr. Cemal BELEN

Learning Outcomes

1	Explains the concepts of limit and continuity in one variable functions , learns the types of discontinuity points and make applications.
2	Learns the concept of derivative and rules of differentiation, interprets the concepts of derivative and differential geometrically.
3
4
5

Mode of Delivery

Formal Education

Prerequisites and co-requisities

None

Recommended Optional Programme Components

None

Course Contents

The concept of limit in one variable functions and its applications, Continuity in one variable functions and its applications, Types of discontinuity points, Concept of derivative in one variable functions and rules of derivative, The derivatives of trigonometric, logarithmic, exponent, hiperbolic functions and their inverses, Derivative of implicit function, Higher-order derivarive, Local and absolute extremum points, extremum problems and applications, Rolle's and mean value theorems, L'Hospital rule, Differential and linear change, Concept of integral, indefinite integrals, techniques of integration, Definite integrals, Area and volume calculations by definite integral.

Weekly Detailed Course Contents

Week	Theoretical	Practice	Laboratory
1	The concept of limit in one variable functions and its applications
2	The concept of limit in one variable functions and its applications
3	The concept of continuity in one variable functions and types of discontinuity points
4	The concept of derivative and differentiation rules
5	The derivatives of trigonometric, logarithmic, exponent, hiperbolic functions and their inverses, Derivative of implicit function, Higher-order derivarive
6	Geometric interpretation of derivative, local and absolte extreme points of functions, extremum problems
7	Rolle's and mean value theorems, L'Hospital rule
8	Differential and linear change
9	Midterm exam
10	Graphics of functions, polar coordinates
11	Concept of integral, indefinite integrals, techniques of integration
12	Concept of integral, indefinite integrals, techniques of integration
13	Definite integral
14	Area, volume and arc length calculations by definite integral.
15	Area, volume and arc length calculations by definite integral.
16	Final exam

Recommended or Required Reading

1) James Stewart (2016), Calculus, Eight Edition, Boston 2) Mustafa Balcı (2016). Matematik Analiz 1, Palme Yayınevi, Ankara.

Planned Learning Activities and Teaching Methods

Assessment Methods and Criteria

Term (or Year) Learning Activities	Quantity	Weight
SUM		0
End Of Term (or Year) Learning Activities	Quantity	Weight
SUM		0
Yarıyıl (Yıl) İçi Etkinlikleri		40
Yarıyıl (Yıl) Sonu Etkinlikleri		60
SUM		100

Language of Instruction

Turkish

Work Placement(s)

None

Workload Calculation

Activities	Number	Time (hours)	Total Work Load (hours)
Midterm Examination	1	2	2
Final Examination	1	2	2
Attending Lectures	14	6	84
Problem Solving	14	4	56
Individual Study for Homework Problems	14	3	42
Individual Study for Mid term Examination	1	27	27
Individual Study for Final Examination	1	27	27
TOTAL WORKLOAD (hours)			240

Contribution of Learning Outcomes to Programme Outcomes

	PO 1	PO 2	PO 3	PO 4	PO 5	PO 6	PO 7	PO 8	PO 9	PO 10	PO 11	PO 12	PO 13	PO 14	PO 15	PO 16
LO1	3	4	5	2	4	3	5	3	4	4	2	5	4	3	4	3
LO2	3	3	4	4	3	4	3	3	4	3	4	3	4	2	5	4
LO3	4	3	4	4	4	4	3	4	3	3	3	4	4	4	3	5
LO4	5	4	4	3	2	4	4	4	3	4	5	5	3	4	4	3
LO5	4	3	3	5	4	4	5	4	4	4	3	3	3	5	4	5

* Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High