2DN40/2DE15  Complex Analysis, lectures + tutorial lessons, Fall 2014

This page can be found on  "https://www.win.tue.nl/~sjoerdr/2Y480"

Teachers

lectures:
dr. S.W. Rienstra
4603
MF 5.067
s.w.rienstra©tue·nl
tutorial lessons 2DE15:
dr. R.R. van Hassel
4278
MF 5.073
r.r.v.hassel©tue·nl
tutorial lessons 2DN40:
dr.ir. L.C.G.J.M. Habets
4230
MF 5.069
l.c.g.j.m.habets©tue·nl

Latest news:

Latest change: 01-09-2014

General information

  Audience: 2DN40: Applied Physics (Ma year 1)
2DE15: Electrical Engineering (Ma year 1)
  Goals:
 An introduction to the basic theory of complex analytical functions and some applications, in order to get acquainted with a number of methods and techniques applicable to other parts of mathematics and engineering.
Note: the lecture notes contain at the end of each chapter a section with physical applications. The students are expected to study these applications, but they are not part of the exams.
  Contents:
  • Analytical functions, power series, conformal mapping
  • Complex integration, singularities, residues
  • Series of analytical functions, Taylor series, Laurent series
  • Application of residues to the calculation of integrals
  • Fourier and Laplace transforms

    		•
      Study points: 3
      Study material:
  • "Lecture Notes 2WA80/2DN40/2DE15". In digital form freely available from restricted site OASE.
    		•
      time & location
    (OWINFO 2DN40) (OWINFO 2DE15)
    lecture:   
    		 Monday   
    		 3+4   
    		 Helix 001 (1,2,3), Aud 5 (4), Pav B2 (5), Aud 8 (6,7,8)
    tutorial lessons:   
    		 Tuesday   
    		 5+6,   
    		 MMP 2 (2DN40 + 2DE15) + Aud 11 (2DE15)
    "col-structions":   
    		 Friday   
    		 5+6,   
    		 Aud 07 (note: 22/10 Open Day)

      exams: Note: during exams, no computer (notebook, laptop, smartphone, tablet, iPad, calculator), no books nor other sources of information are allowed.
    tentamen      2DN40 + 2DE15:
    		 6 
    		 November
    		 2014,
    		 9:00-12:00
    hertentamen 2DN40 + 2DE15:
    		 28 
    		 January
    		 2015,
    		 13:30-16:30

      ATTENTION ↑:
    		 dates and locations are copied from OWINFO 2DN40, OWINFO 2DE15, and are therefore not decisive. Please check for yourself at OWINFO.
     
      Exercises: For each week a series of exercises is selected from the lecture notes.


    Exercises for homework and tutorial lessons

    week (approx.) 1
    		2
    		3
    		4
    		5
    		6
    		7
    section 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
    exercises 1c; 2c; 5d; 6a; 7b; 9; 10a 1ab; 3 1; 3; 4 1; 3; 7; 9 1abc; 2b; 4; 6; 7e; 8; 9d 1; 3; 4 1; 2; 4; 5 1; 2 1;3; 5 3; 4; 6; 8ab; 10; 11a; 12 1; 2; 3; 4 1b; 2c; 3; 6; 10; 12c; 13c; 24; 25; 26 1; 2; 3; 6; 9; 11; 12; 13; 14; 17 1c; 2a; 3; 5 2bd 1b; 3; 4
    from 3.6: 2d     		2c; 3d; 4; 5; 8ac 1cd; 2

    Example exams 2Y480 of previous years:

    Handwritten sketches of answers of exercises (not always the best solution; in Dutch ). Only for the interested