Bayburt 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
AE-MT103B		Compulsory	1	1	3

Level of Course Unit

First Cycle

Objectives of the Course

To be able to examine real-time and real-valued functions and interpret graphs; strengthening the concepts of limit, continuity and derivative; draw the graphs of functions; to be able to transfer the acquired knowledge to other courses; Analysis-ll for the course to create the infrastructure.

Name of Lecturer(s)

Prof. Dr. Rabil Ayazoğlu

Learning Outcomes

1	1. 1. Will be able to define sets and number systems.
2	Will be able to define the limit of a single valued function at a point.
3	Will be able to define the continuity of a function at a point.
4	Will be able to define discontinuity and identify different types of discontinuity.
5	Will be able to define the derivative of a function at a point.
6	Will be able to tell the relationship between the extremum points of a function and its derivative at this point.
7	Will be able to draw the graph of a function.

Mode of Delivery

Normal Education

Prerequisites and co-requisities

Recommended Optional Programme Components

Course Contents

Weekly Detailed Course Contents

Week	Theoretical	Practice	Laboratory
1	Clusters and number systems;
2	Relationship, types of functions
3	Exponential functions and logarithmic functions
4	Limit,
5	Continuity
6	Concept of discontinuity and types of discontinuity
7	Limit and continuity concepts
8	Definition of derivative and rules of derivative
9	Definition of derivative and rules of derivative
10	Applications of derivative
11	Applications of derivative
12	Graphical drawing of functions
13	Graphical drawing of functions
14	General evaluation of the course
15	final exam

Recommended or Required Reading

Ders notları • Diğer Kaynaklar: • Demir, H. 2008; Teori ve Problemleri ile Analiz I, Pegem, Ankara. • Balcı, M. 2008; Matematik Analiz I, Balcı Yayınları, Ankara.

Planned Learning Activities and Teaching Methods

Assessment Methods and Criteria

Term (or Year) Learning Activities	Quantity	Weight
Midterm Examination	1	100
SUM		100
End Of Term (or Year) Learning Activities	Quantity	Weight
Final Examination	1	100
SUM		100
Term (or Year) Learning Activities		40
End Of Term (or Year) Learning Activities		60
SUM		100

Language of Instruction

Work Placement(s)

Workload Calculation

Activities	Number	Time (hours)	Total Work Load (hours)
Midterm Examination	1	1	1
Final Examination	1	2	2
Discussion	1	3	3
Question-Answer	2	3	6
Team/Group Work	2	3	6
Brain Storming	1	1	1
Report Preparation	2	3	6
Project Preparation	2	3	6
Role Play/Dramatization	2	3	6
Self Study	10	5	50
Individual Study for Homework Problems	1	3	3
TOTAL WORKLOAD (hours)			90

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
LO1
LO2
LO3
LO4
LO5
LO6
LO7

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