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
MAT1022011131	ANALYSİS -II	Compulsory	1	2	7

Level of Course Unit

First Cycle

Objectives of the Course

The aim of the course is • to give the fundamental concepts of analysis.

Name of Lecturer(s)

Dr. Fatih Say

Learning Outcomes

1	will have necessary fundemental of mathematics

Mode of Delivery

Formal Education

Prerequisites and co-requisities

Recommended Optional Programme Components

Week 1 Indefinite integrals, integration techniques Week 2 Definite integrals, the upper and lower Darboux sums and integral of staircase functions Week 3 Riemann integrals, Riemann integrable function in terms of classes Week 4 The fundamantal theorems of integral calculus Week 5 Account with the help of the definite integral of some special limits Week 6 Domain as the application of definite integral Week 7 Arc length, calculating of volume and areas of surfaces of revolution Week 8 Midterm exam Week 9 Infinite series, convergence and divergence of the series Week 10 Convergence and divergence of the series Week 11 Positive series and convergence criteria Week 12 Alternating series Week 13 Absolute and conditional convergence Week 14 Any polynomial series and Abel partial sum Week 15 Convergence of infinite products and related criteria Week 16 Final exam

Course Contents

• Indefinite integrals, integration techniques • Definite integrals, the upper and lower Darboux sums and integral of staircase functions • Riemann integrals, Riemann integrable function in terms of classes • The fundamantal theorems of integral calculus • Account with the help of the definite integral of some special limits • Domain as the application of definite integral • Arc length, calculating of volume and areas of surfaces of revolution • Infinite series, convergence and divergence of the series • Positive series and convergence criteria • Alternating series • Absolute and conditional convergence • Any polynomial series and Abel partial sum • Convergence of infinite products and related criteria

Weekly Detailed Course Contents

Week	Theoretical	Practice	Laboratory
1	Indefinite integrals, integration techniques
2	Definite integrals, the upper and lower Darboux sums and integral of staircase functions
3	Riemann integrals, Riemann integrable function in terms of classes
4	The fundamantal theorems of integral calculus
5	Account with the help of the definite integral of some special limits
6	Domain as the application of definite integral
7	Arc length, calculating of volume and areas of surfaces of revolution
8	Midterm exam
9	Infinite series, convergence and divergence of the series
10	Convergence and divergence of the series
11	Positive series and convergence criteria
12	Alternating series
13	Absolute and conditional convergence
14	Any polynomial series and Abel partial sum
15	Convergence of infinite products and related criteria
16	Final exam

Recommended or Required Reading

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)

Workload Calculation

Activities	Number	Time (hours)	Total Work Load (hours)
Midterm Examination	1	1.5	1.5
Final Examination	1	1.5	1.5
Attending Lectures	14	6	84
Self Study	10	5	50
Individual Study for Homework Problems	10	5	50
Individual Study for Mid term Examination	2	5	10
Individual Study for Final Examination	5	5	25
TOTAL WORKLOAD (hours)			222.0

Contribution of Learning Outcomes to Programme Outcomes

	PO 1	PO 2	PO 3	PO 4	PO 5	PO 6	PO 7
LO1	5	5	5	5	5	5	5

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