Information Package / Course Catalogue - Adnan Menderes University

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Analysis IV

Course Code	: MAT202
Course Type	: Required
Couse Group	: First Cycle (Bachelor's Degree)
Education Language	: Turkish
Work Placement	: N/A

Theory	: 3
Prt.	: 2
Credit	: 4
Lab	: 0
ECTS	: 6

Objectives of the Course

This course aims to give information about uniform convergence, double integrals, triple integrals, improper integrals, line integrals, surface integrals.

Course Content

Uniform convergence, Double integrals, Triple Integrals, Multiple improper integrals, Line integrals, Surface integrals.

Name of Lecturer(s)

Lec. Muhammet Ali OKUR

Learning Outcomes

1.	Understanding the Concept of Uniform Convergence
2.	Ability to solve double integrals
3.	Ability to solve triple integrals
4.	Ability to understand the improper integrals
5.	Ability to understand the line integrals
6.	Ability to understand the surface integrals

Recommended or Required Reading

1.	Stewart, J., “Kalkülüs, Kavram ve Kapsam”, TÜBA (2010)
2.	Stein, S. K. and Barcellos, A., "Calculus and Analytic Geometry", McGraw Hill, (1992)
3.	Thomas, G.B., “Thomas’ Calculus”, Addison Wesley (11th edition 2005)
4.	Sokolnikoff, I. S., “Advanced Calculus”, McGraw Hill (1939)
5.	Balcı, M., “Matematik Analiz 2”, Palme Yayıncılık (2021)

Weekly Detailed Course Contents

Week 1 - Theoretical & Practice

Concept of uniform convergence, Uniform convergence in sequences of functions

Week 2 - Theoretical & Practice

Uniform convergence in series of functions

Week 3 - Theoretical & Practice

Double integrals

Week 4 - Theoretical & Practice

Double integral in polar coordinates

Week 5 - Theoretical & Practice

Change of variables in double integral and volume calculation

Week 6 - Theoretical & Practice

Triple integral

Week 7 - Theoretical & Practice

Cylindrical coordinates

Week 8 - Theoretical & Practice

Spherical coordinates (MIDTERM EXAM)

Week 9 - Theoretical & Practice

Type I multiple improper integrals

Week 10 - Theoretical & Practice

Type II multiple improper integrals

Week 11 - Theoretical & Practice

Line integrals

Week 12 - Theoretical & Practice

Fundemental theorems of line integrals

Week 13 - Theoretical & Practice

Surface integrals

Week 14 - Theoretical & Practice

Fundemental theorems of surface integrals

Assessment Methods and Criteria

Type of Assessment	Count	Percent
Midterm Examination	1	%40
Final Examination	1	%60

Workload Calculation

Activities	Count	Preparation	Time	Total Work Load (hours)
Lecture - Theory	14	0	3	42
Lecture - Practice	14	0	2	28
Individual Work	14	0	3	42
Midterm Examination	1	14	2	16
Final Examination	1	20	2	22
TOTAL WORKLOAD (hours)				150

Contribution of Learning Outcomes to Programme Outcomes

	PÇ-1	PÇ-2	PÇ-3	PÇ-4	PÇ-5	PÇ-6	PÇ-7	PÇ-8	PÇ-9	PÇ-10	PÇ-11	PÇ-12	PÇ-13	PÇ-14	PÇ-15	PÇ-16	PÇ-17	PÇ-18
OÇ-1	5		4		3	3	3		3	4
OÇ-2	5		4		3	3	3		3	4
OÇ-3	4		5		4	4	3		4	4
OÇ-4	4		5		4	4	3		4	4
OÇ-5
OÇ-6

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