Yozgat Bozok 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
MAT568	DALGACIK TEORİSİ	Elective	1	1	6

Level of Course Unit

Second Cycle

Objectives of the Course

To inform to student the definition and basic properties of elliptic functions

Name of Lecturer(s)

Doç. Dr. Abdullah Sönmezoğlu

Learning Outcomes

1	To define the concepts of the Period, topological group, elliptic function and infinite multiplication
2	Learn and apply basic properties of elliptic functions

Mode of Delivery

Formal Education

Prerequisites and co-requisities

None

Recommended Optional Programme Components

None

Course Contents

A brief outline of Hilbert and Banach spaces, Direct sums, Schauder, orthonormal, biortogonal (Riesz) bases, Introduction to frame theory, Analysis, synthesis and frame operators, Wavelet series, Multi-resolution analysis, Adjoint mirror filters, Ortonormal and biortogonal wavelet bases, Wavelet frame, Discrete wavelet transform algorithm, Daubechies wavelet bases, Band bounded wavelets, Littlewood-Paley theory

Weekly Detailed Course Contents

Week	Theoretical	Practice	Laboratory
1	periods
2	Topological groups
3	A simple periodic function
4	Cages and fundemental regions
5	Tor
6	General properties of elliptic functions
7	infinite products
8	Mid-Term Exam
9	Uniform and normal convergence
10	Weierstrass functions
11	Body of elliptic functions
12	Zero the polar areas and the creation of elliptic functions
13	The main part of the creation of the elliptic functions
14	Topological properties of elliptic functions
15	Real elliptic curves
16	Final Exam

Recommended or Required Reading

G. A. Jones and D. Singerman, Complex Functions, Cambridge University Press, 1987.

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	2	2
Individual Study for Mid term Examination	14	6	84
Individual Study for Final Examination	14	6	84
TOTAL WORKLOAD (hours)			172

Contribution of Learning Outcomes to Programme Outcomes

LO1

LO2

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