MAA307 – Introduction to Complex Variable

Module designation

Introduction to Complex Variable (MAA307)

Semester(s) in which the module is taught

5^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

Real Analysis I (MAA301)

Module objectives/intended learning outcomes

General Competence (Knowledge):

  Capable of proving and applying the concept of complex numbers analytically.

Specific Competence: student capable of

1.      Explaining the basic properties of complex numbers.

2.      Explaining the elementary properties of triangles using complex number notation.

3.      Explaining the elementary nature of the Mobius Transformation.

Content

Complex numbers and complex fields, exponential forms, elementary properties of triangles and the Mobius Transformation.

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