2WA80  Complex Analysis, lectures + tutorial lessons, Spring 2017

This page can be found on  "https://www.win.tue.nl/~sjoerdr/2WA80"

Teachers

lectures:
dr. S.W. Rienstra
4603
MF 7.068
s.w.rienstra©tue·nl
tutorial lessons
dr. R.R. van Hassel
4278
MF 7.067
r.r.v.hassel©tue·nl
R. de Böck MSc
3096
MF 7.096
r.d.bock©tue·nl
R. Beltman MSc
2202
MF 7.088
r.beltman©tue·nl
student assistents
 
Loes van Rijswijk
Rik Rutjens
groep   1-13
groep 14-26
l.f.v.rijswijk©student·tue·nl
r.j.l.rutjens©student·tue·nl

Latest news:

Latest change: 18-08-2017

General information

  Audience:
  • Technische Wiskunde, Bacheloropleiding (jaar 2)
  • Gecombineerde majors Wiskunde/Software Science, Bacheloropleiding (jaar 2)
  • Gecombineerde majors Natuurkunde/Wiskunde, Bacheloropleiding (jaar 3)
    •   Goals:
    		 An introduction to the basic theory of complex analytical functions, their integrals, Fourier analysis and integral asymptotics, in order to get acquainted with a number of methods and techniques applicable to other parts of mathematics and engineering.
    Note 1: not every detail in the lecture notes are equally important. The set of exercises reflects the material to be known for the exam.
    Note 2: 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.
      Contents:
  • Analytical functions, power series
  • Complex integration, singularities, residues
  • Taylor series, Laurent series
  • Residue calculus for the calculation of integrals
  • Fourier analysis and Laplace transforms
  • Some integral asymptotics (Watson's Lemma, methods of Laplace and Stationary Phase)

    		•
      Study points: 5
      Study material:
  • "Lecture Notes Complex Analysis", Version 2018. Also available from the CANVAS course page.
  • Additional information may be found in "Functions of a Complex Variable: Theory and technique", G.F. Carrier, M. Krook, C.E. Pearson, SIAM, 2005. The book is not compulsary anymore.
    		•
      time & location
    lecture:   
    		 IPO 0.98,   
    		 Wednesday   
    		 5+6,   
    		 26/4-21/6.   
    tutorial lessons:   
    		 Flux 0.01 + 1.08,   
    		 Wednesday   
    		 7+8,   
    		 26/4-21/6   
    		   
    		 group 1-17 in 0.01, 18-26 in 1.08  
    lecture:   
    		 Flux 0.01,   
    		 Friday   
    		 1+2,   
    		 12/5-23/6   
    		 except 26/5   
    tutorial lessons:   
    		 Pav U46 + J17,   
    		 Friday   
    		 3+4,   
    		 12/5-23/6   
    		 except 26/5   
    		 group 1-17 in U46, 18-26 in J17  

      homework: After each "week-equivalent" (1 or 2 days of lectures+tutorials) a selection of the homework is handed in per group of 4 students (see https://canvas.tue.nl/courses/1284/files). This will be marked and returned. The final result will count for 10% of the exam figure. Further details of the procedure to be announced.
      exams: Note: during exams, no computer (notebook, laptop, smartphone, tablet, iPad, calculator), books or other sources of information are allowed.
    homework Monday 14:00 (except 22/5, 5/6 → 6/6 and 23/6) mailbox Van Hassel MF 7.080c
    exam 2WA81      
    		 6 July 2017
    re-exam 2WA81 17 August 2017

      ATTENTION ↑:
    		 dates and locations are copied from OSIRIS. Please check for yourself at OSIRIS.
     
      Exercises: For each week a series of exercises is selected from the lecture notes.


    Exercises for homework and tutorial lessons The weeks relate to "equivalent weeks" (1 or 2 days of lectures and tutorial), and are only approximate.

    week 1
    		2
    		3
    		4
    		5
    		6
    		7
    		8
    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 4.1 4.2 4.3 5.1 5.2 5.3 5.4
    exercises 1; 2c; 5d; 6a; 7b; 9 1; 3; 4; 5 1; 3; 7; 9 1; 4; 8; 9 1bd; 4; 9bd; 10; 13 1; 3 1; 2; 5; 6 1; 3 1; 3; 5 3; 4; 6; 8ab; 10; 11a 1; 2; 4; 5; 6 1b; 3; 5a; 9; 12c; 24; 26 1; 4; 6; 11; 15; 18 1c; 2a; 5 2bd 1b; 4;
    from 3.6: 1a, 3d (start with integral over full real axis)     		2c; 4; 5; 8ac 1; 2; 3; 12 1; 3; 4; 7; 8; 9; 10 1; 2; 6 1ace; 8 1; 2; 3; 6 1; 5; 6 1; from 5.5: 1a

    Example exams of previous years:

    Handwritten sketches of answers of exercises (somtimes not the best solution; most in Dutch). For the interested