Iğdır 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
9900000232	MATEMATİK - II	Compulsory	1	2	6

Level of Course Unit

First Cycle

Objectives of the Course

This lecture deals with the applications of derivative in curve scetching and some limits. Also definite and indefinite integrals and some of their applications

Name of Lecturer(s)

Learning Outcomes

1	Verilen bir fonksiyonun grafiğini çizmeyi bilir.
2	Belirsiz şekilleri tanır, limitlerini alır.
3	Diferensiyel ve lineer yaklaşım kavramlarını bilir, bileşke fonksiyonların diferensiyelini bulunur
4	Antitürev kavramını açıklar. Belirsiz integrali çözer
5	İntegral hesabın temel teoremini bilir. Belirli integralin; alan, hacim, yay uzunluğu, yüzey alanı hesaplamaları gibi uygulamaları hakkında bilgi sahibidir. Genelleştirilmiş integral kavramını açıklar.
6	Knows to scetch the graph of a given function
7	Recognizes the indeterminite forms and evaluates the limits
8	Knows the definitions of the differential and linear approximation. Obtains the differential of composition of functions.
9	Explains the concept of antiderivative. Evaluates the indefinite integral
10	Knows fundamental theorem of integral calculus and has a knowledge some applications of the definite integral such as finding area, volume, arc length, surface area

Mode of Delivery

Daytime Class

Prerequisites and co-requisities

None

Recommended Optional Programme Components

None

Course Contents

Weekly Detailed Course Contents

Week	Theoretical	Practice	Laboratory
1	Concavity, inflection point. Indeterminate forms (L’Hospital's rule)
2	Asymptotes, curve scetching
3	Curve scetching
4	Differential and linear approximation
5	Antiderivative. Basic properties of integrals. Methods of integrations (Integration by substitution, integration by parts)
6	Integration of rational functions. Trigonometric substitutions
7	Integration of irrational functions.
8	The Definite Integral. Fundamental theorem of integral calculus
9	Midterm
10	Volumes by the method of cross sections, solids of revolution- disks and the method of cylindrical shells.
11	Improper integrals (I and II. Types
12	Tests for convergence of the improper Integrals for types I and II.
13	Double integrals
14	Area and volume by double integration.
15
16

Recommended or Required Reading

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)

None

Workload Calculation

Activities	Number	Time (hours)	Total Work Load (hours)
Midterm Examination	1	2	2
Final Examination	1	6	6
Attending Lectures	14	8	112
Self Study	5	5	25
Individual Study for Mid term Examination	4	5	20
Individual Study for Final Examination	3	6	18
TOTAL WORKLOAD (hours)			183

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	PO 17	PO 18	PO 19	PO 20
LO1	2	5	3		2	4
LO2	3	2	4		4	1
LO3	4	2	3		4	4
LO4	4	1	1		1	3
LO5	3	5	5		1	2
LO6
LO7
LO8
LO9
LO10

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