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Course Info

Instructor:
  • Prof. Sigurdur Helgason
Course Number:
  • 18.112
Departments:
  • Mathematics
As Taught In: Fall 2008
Level: Undergraduate

Topics

  • Mathematics
    Calculus
    Mathematical Analysis
    Topology and Geometry

Learning Resource Types

grading Exams with Solutions
notes Lecture Notes
assignment_turned_in Problem Sets with Solutions
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Course Info
Functions of a Complex Variable
  • Syllabus

  • Calendar

  • Lecture Notes

  • Assignments

  • Exams

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Assignments

Solution for 18.112 ps 1

Solution for 18.112 ps 2

Solution for 18.112 ps 3

Solution for 18.112 ps 4

Solution for 18.112 ps 5

Solution for 18.112 ps 6


Exams

Final Exam

Problems for 18.112 Mid 2 (Open Book)

Problems for 18.112 Mid 2 (Open Book)

Solution for 18.112 Final Examination

Solution for 18.112 Mid 1

Solution for 18.112 Mid 1


Lecture Notes

Lecture 1: The algebra of Complex numbers

Lecture 10: The Special Cauchy’s Formula and Applications

Lecture 11: Isolated Singularities

Lecture 12: The Local Mapping. Schwarz’s Lemma and non-Euclidean interpretation

Lecture 13: The General Cauchy Theorem

Lecture 14: The Residue Theorem and Application

Lecture 15: Contour Integration and Applications

Lecture 16: Harmonic Functions

Lecture 17: Mittag-Leffer’s Theorem

Lecture 18: Infinite Products

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Course Info

Instructor:
  • Prof. Sigurdur Helgason
Course Number:
  • 18.112
Departments:
  • Mathematics
As Taught In: Fall 2008
Level: Undergraduate

Topics

  • Mathematics
    Calculus
    Mathematical Analysis
    Topology and Geometry

Learning Resource Types

grading Exams with Solutions
notes Lecture Notes
assignment_turned_in Problem Sets with Solutions
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