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Course Information
Course Unit Title : Complex Variables I
Course Unit Code : MAT305
Type of Course Unit : Compulsory
Level of Course Unit : First Cycle
Year of Study : 3
Semester : 5.Semester
Number of ECTS Credits Allocated : 6,00
Name of Lecturer(s) : ---
Course Assistants :
Learning Outcomes of The Course Unit : Complex functions, limit, , analytic functions.
Mode of Delivery : Face-To-Face
Prerequisities and Co-requisities Courses : Unavailable
Recommended Optional Programme Components : Unavailable
Course Contents : Complex numbers: Definitions and examples
Stereographic projection: Definitions and examples
Basic Functions: exponential, trigonometric, hyperbolic, logaritmic, inverse trigonometric and inverse hyperbolic functions
Mapping by basic functions.
Limits, continuity of complex functions
Analytic Functions: Derivative and Cauchy-Riemann equations, analytic functions, harmonic functions and applications
Languages of Instruction : Turkish-English
Course Goals : To understand the difference between real and complex functions. To learn about analytic functions and harmonic functions and some of their applications to physics..
Course Aims : To understand the difference between real and complex functions. To learn about analytic functions and harmonic functions and some of their applications to physics..
WorkPlacement   Not Available
Recommended or Required Reading
Textbook : Brawn , J.W., Churchill, R,. ?Complex Variables and its Applications?, McGraw-Hill, 1996.
Additional Resources :
Material Sharing
Documents :
Assignments :
Exams :
Additional Material :
Planned Learning Activities and Teaching Methods
Lectures, Practical Courses, Presentation, Seminar, Project, Laboratory Applications (if necessary)
ECTS / Table Of Workload (Number of ECTS credits allocated)
Student workload surveys utilized to determine ECTS credits.
Activity :
Number Duration Total  
Course Duration (Excluding Exam Week) :
14 3 42  
Time Of Studying Out Of Class :
15 4 60  
Homeworks :
3 15 45  
Presentation :
0 0 0  
Project :
0 0 0  
Lab Study :
0 0 0  
Field Study :
0 0 0  
Visas :
1 15 15  
Finals :
1 15 15  
Workload Hour (30) :
30  
Total Work Charge / Hour :
177  
Course's ECTS Credit :
6      
Assessment Methods and Criteria
Studies During Halfterm :
Number Co-Effient
Visa :
1 40
Quiz :
0 0
Homework :
0 0
Attendance :
0 0
Application :
0 0
Lab :
0 0
Project :
0 0
Workshop :
0 0
Seminary :
0 0
Field study :
0 0
   
TOTAL :
40
The ratio of the term to success :
40
The ratio of final to success :
60
TOTAL :
100
Weekly Detailed Course Content
Week Topics  
1 Axiomatic structure of complex numbers
 
2 Analytic geometry of complex numbers
 
3 Stereographic projection
 
4 Definition of complex functions, maps
 
5 Exponential, trigonometric, hyperbolic functions
 
6 logaritmic, inverse trigonometric and inverse hyperbolic functions
 
7 Complex exponential, square function and examples
 
8 Sequences of complex numbers
 
9 Limit of complex fuctions
 
10 Continuity of complex fuctions
 
11 Differentation of complex fuctions
 
12 Analytic functions, Cauchy Riemann equations
 
13 Harmonic Functions
 
14 Applications of anaytic and harmonic fuctions