## 2DME30  Complex Analysis for E, lectures + tutorial lessons, Fall 2017

### Teachers

 lectures dr. S.W. Rienstra 4603 MF 7.068 s.w.rienstra©tue·nl tutorials dr.ir. L.C.G.J.M. Habets 4230 MF 7.076 l.c.g.j.m.habets©tue·nl

### Latest news:

Latest change: 24-10-2017

### General information

Audience:
• EE (master 1), ME (master 1), EE schakel (bachelor 1)
•   Goals and content
Complex Analysis.
An introduction to the basic theory of complex analytical functions and their integrals, in order to lay a firm foundation of a number of methods and techniques in electrical engineering.
Note 1: Since basic knowledge of series (power series) is an essential ingredient for analytic functions, some background material from real analysis (Adams, Ch9), that is missing in the present calculus courses, is added.
Note 2: Not every detail in the lecture notes are equally important. The set of exercises reflects the material to be known for the exam.
Note 3: Handwritten answers of (most of the) exercises will become available. Don't consult these answers unless you are totally desperate. From finding the answer yourself you learn about all you don't know. From copying a given answer you learn nothing.
Note 4: The lecture notes contain at the end of each chapter a section with physical applications. You are encouraged to study these applications, but they are not part of the exams.

• Analytical functions, power series
• Complex integration, singularities, residues
• Taylor series, Laurent series
• Residue calculus for the calculation of integrals

•   Study points: 5
Study material:
• "Lecture Notes Complex Analysis". In digital form freely available from here, or (an older version) from CANVAS/files.
•   time & location
(CANVAS)
 lecture: Monday 5+6 Pav M23 tutorials: Monday 7+8 Trav Dorgelozaal lecture: Wednesday 1+2, Pav M23 tutorials: Wednesday 3+4, Trav Dorgelozaal

Except on 4 September

exams: Note: during exams, no computer (notebook, laptop, smartphone, tablet, iPad, calculator), books or other sources of information are allowed.
 exam 2DME30 Wednesday 1 November 2017, 9:00-12:00 re-exam 2DME30:  tbd

Exercises: For each week a series of exercises is selected from Adams (Ch 9) or the lecture notes (Ch 1-4).

Exercises for homework and tutorial lessons

 week (approx.) 1 2 3 4 5 6 7 8 section 9.1 9.2 9.3 9.4 9.5 1.1 1.3 1.4 1.5 1.6 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.9 3.1 3.2 3.3 3.4 3.5 4.1 4.2 4.3 exercises 1; 4; 8; 9; 20; 23; 29 2; 7; 9; 10; 17; 18; 19; 27; 28; 29; 30; 31 2; 5; 18; 22; 38; 40 1; 7 1; 4; 5; 8; 10; 12; 13; 15; 17; 22 1; 2c; 5d; 6a; 7b; 9 3 1; 3; 7; 9 1; 4; 7; 9 1; 4; 9; 10 1 1; 2; 5; 6 1; 3 1; 3 6; 8ab; 10 1; 4; 5; 6 1b; 5a; 10a; 12c; 21a; 24 1; 3; 6; 11; 14 1; 2a; 3; 5 1a; 2b; 6b 1b; 4; 6a 1; 2c; 4; 5; 8ac 1a 1; 2; 3; 4 1; 4; 10 3