MAA308 – Complex Variable

Module designation

Complex Variable (MAA308)

Semester(s) in which the module is taught

6^th

Person responsible for the module

Dr. Eridani

Language

Indonesian

Relation to curriculum

Compulsory / elective / specialisation

Teaching methods

Lecture and lesson.

Workload (incl. contact hours, self-study hours)

2×170 minutes (2×50 minutes lecture and lesson, 2×60 minutes structural activities, 2×60 minutes self-study) per week for 16 weeks

Credit points

2 CP (3,2 ECTS)

Required and recommended prerequisites for joining the module

Introduction to Complex Variable

Module objectives/intended learning outcomes

General Competence (Knowledge):

  Capable of proving mathematical statements formally and applying them related to the concept of complex numbers.

Specific Competence: student capable of

1.      Explaining complex numbers and their algebraic properties.

2.      Explaining analytical functions in complex numbers and their properties.

3.      Explaining elementary functions in complex numbers and their properties.

4.      Explaining Complex Integration.

5.      Explaining Power Series, Laurent Series.

6.      Explaining residues and their applications.

Content

Complex Numbers, Analytical Functions, Elementary Functions, Integrals, Series and Residues.

Examination forms

Essay

Study and examination requirements

Students are considered to pass if they at least have got a final score 40 (D).

Final score is calculated as follows: 10% softskill+30 % assignment + 20% Quiz + 20% midterm + 20% final exam.

Final index is defined as follow:

Reading list

1. Churcill, Ruel V.& Ward Brown James, 1996, Complex Variables and Applications, Seventh Edition, McGraw-Hill Publishing Company.
2. Beck M., Marchesi G, Pixton D. and Sabalka L., (2009).  A First Course in Complex Analysis, version 1.41, http://math.sfsu.edu/beck/complex.html
3. Walkden C., 2015. Complex Analysis, http://www.maths.manchester.ac.uk/~cwalkden/complex-analysis/complex_analysis.pdf