Dokuz Eylül University Information Package / Courses Catalog

Description of Individual Course Units

Course Unit Code	Course Unit Title	Type Of Course	D	U	L	ECTS
LMÖ 1002	CALCULUS II	COMPULSORY	4	2	0	6

Offered By

Mathematics Teacher Education

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

PROFESSOR DOCTOR ESRA BUKOVA GÜZEL

Offered to

Mathematics Teacher Education

Course Objective

To learn the applications of derivative; extremum and absolute extremum points of functions, extremum problems and their applications in various fields, Rolle and Mean Value Theorems, Finite Taylor Theorem, L'Hospital Rule and limit calculations with the help of this rule, To examine the change of functions and draw their graphs; Differential and linear increment concepts, Integral concept, indefinite integrals, integration techniques, definite integrals, area and volume calculations with definite integrals and their applications in various fields.

Learning Outcomes of the Course Unit

1	Take derivatives and integrals of real functions of a single real variable.
2	Know express and use the specific theorems (Rolle's and Mean Value Theorems, Finite Taylor's theorem, L'Hospital's rule).
3	Compare definite and indefinite integrals, and to establish relationships with the concepts such as derivative, limit, and continuity to.
4	Recognize errors and to explain the difference.
5	Use derivatives and integrals in problem solving and mathematical modeling.

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week	Subject	Description
1	Derivative applications
2	Extrema and absolute extrema points of the real functions of one real variable, extremum problems
3	Rolle's and Mean value problems, finite Taylor's Theorem
4	L 'Hopital's Rule, and calculation of the limit with this rule
5	Increasing-decreasing, concavity in function and correlating them with first and second derivative
6	The concept of differential
7	Changes of functions and graph plotting
8	General review, course evaluation, midterm exam
9	The concept of integral
10	Indefinite integrals
11	Rules of integration
12	Definite integrals
13	Applications of integration, definite integral when calculating area and volume
14	Using a specific surface area and arc length by using integral, definite integrals and applications in various fields
15	Final Exam

Recomended or Required Reading

Süer, B. & Demir, H. (1984). Freshman Calculus. O.D.T.Ü. Yayınları, Ankara.
Balcı, M. (2008). Matematik Analiz I, Balcı Yayınları, Ankara.
Çoker, D. & Özer, O. & Taş, K. (1994). Genel Matematik. Adım Yayıncılık, Ankara.

Planned Learning Activities and Teaching Methods

Lecture, discussion, question-answer, problem solving, active learning techniques, group work.

Assessment Methods

SORTING NUMBER	SHORT CODE	LONG CODE	FORMULA
1	VZ	Midterm
2	FN	Semester final exam
3	BNS	BNS	Student examVZ * 0.40 + Student examFN * 0.60
4	BUT	Make-up note
5	BBN	End of make-up grade	Student examVZ * 0.40 + Student examBUT * 0.60

Further Notes About Assessment Methods

None

Assessment Criteria

Assessment of students is measured by midterm and final exams in line with the learning outcomes.

Language of Instruction

Turkish

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

esra.bukova@deu.edu.tr

Office Hours

Dönem başında ilan edilecektir.

Work Placement(s)

None

Workload Calculation

Activities	Number	Time (hours)	Total Work Load (hours)
Theoretical	13	4	52
Tutorials	13	2	26
Pre Class Self Study	13	1	13
Midterm Preparation	1	21	21
Final Preparation	1	30	30
Final Exam	1	2	2
Midterm Exam	1	2	2
TOTAL WORKLOAD (hours)			146

Contribution of Learning Outcomes to Programme Outcomes

PO/LO	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	PO.17	PO.18
LO.1	5	4	3	1	3	1	1	1	1	1	1	2	3	1	1	1	1	1
LO.2	5	4	3	1	3	1	1	1	1	1	1	2	3	1	1	1	1	1
LO.3	5	4	3	1	3	1	1	1	1	1	1	2	3	1	1	1	1	1
LO.4	5	4	3	1	3	1	1	1	1	1	1	2	3	1	1	1	1	1
LO.5	5	4	5	2	3	1	1	1	1	1	2	4	3	1	1	1	1	1

COURSE UNIT TITLE

DEGREE PROGRAMMES

Description of Individual Course Units

Offered By

Level of Course Unit

Course Coordinator

Offered to

Course Objective

Learning Outcomes of the Course Unit

Mode of Delivery

Prerequisites and Co-requisites

Recomended Optional Programme Components

Course Contents

Recomended or Required Reading

Planned Learning Activities and Teaching Methods

Assessment Methods

Further Notes About Assessment Methods

Assessment Criteria

Language of Instruction

Course Policies and Rules

Contact Details for the Lecturer(s)

Office Hours

Work Placement(s)

Workload Calculation

Contribution of Learning Outcomes to Programme Outcomes

CONTACT INFORMATION