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

This page can be found on  "https://www.win.tue.nl/~sjoerdr/2DME30"

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

    Example exams of previous years:

    Handwritten sketches of answers of exercises (sometimes not the best solution; most in Dutch) will become available in due course. It is strongly advised NOT to consult these answers unless you have very seriously (not a little, not sketchy, but very very seriously) tried yourself. For the exam you have to have experience with being confronted with NEW questions.