MS-C1300 - Complex Analysis, Lecture, 21.10.2024-2.12.2024

Osion kuvaus

• Lectures
  Lecture schedule

  
  

  While the lecture note sketches for this year are not yet there, you can take a look at last year's course's lecture notes. The schedule and topics mostly match this year's course.
  

  
  

  
  

  Past lectures

  
  

  Lecture 1 (Monday, October 21): "Course overview, complex numbers"
  

  • [Palka, Chapter I]
  • intro_slides
  • lecture_sketch_1A
    

  
  

  Lecture 2 (Thursday, October 24): "Functions of a complex variable and topology of the complex plane"

  • [Palka, Chapter II]
    

  
  

  Lecture 3 (Monday, October 28): "Holomorphic functions, part 1"

  • [Palka, Chapter III]
  • lecture_sketch_2A
    

  
  

  Lecture 4 (Thursday, October 31): "Holomorphic functions, part 2"

  • [Palka, Chapter III]
  • lecture_sketch_2B
    

  
  

  Lecture 5  (Monday, November 4): "Complex contour integration"

  • [Palka, Chapter IV]

  
  

  Lecture 6 (Thursday, November 7): "Cauchy's theorem and its consequences, part 1"

  • [Palka, Chapter V]
  • lecture sketch 3B
    

  
  

  Lecture 7 (Monday, November 11): "Cauchy's theorem and its consequences, part 2"

  • [Palka, Chapter V]

  
  

  Lecture 8 (Thursday, November 14): "Cauchy's theorem and its consequences, part 3"

  • [Palka, Chapter V]

  
  

  Lecture 9 (Monday, November 18): "Sequences and series of holomorphic functions, part 1"

  • [Palka, Chapter VII]
  • lecture sketch 5A
    

  
  

  
  

  Upcoming lectures

  
  

  Lecture 10 (Thursday, November 21): "Sequences and series of holomorphic functions, part 2"

  • [Palka, Chapter VII]

  
  

  Lecture 11 (Monday, November 25): "Isolated singularities and residues, part 1"

  • [Palka, Chapter VIII]

  
  

  Lecture 12 (Thursday, November 28): "Isolated singularities and residues, part 2"

  • [Palka, Chapter VIII]