MIT OpenCourseWare
Functions of a Complex Variable
Art: Max Brückner (1860 – 1934), Brückner Vielflache Tafel 07 · Public domain
- Instructor
- Prof. Sigurdur Helgason
- Term
- Fall 2008
- Level
- Undergraduate
- What's inside
- 1 exam · 9 solutions · 1 lecture note · 25 other files · 4 web pages
- Materials open
- MIT OCW
About this course
Source: MIT OpenCourseWare 18.112 Functions of a Complex Variable, Fall 2008, Prof. Sigurdur Helgason — original course page on ocw.mit.edu ↗. License: CC BY-NC-SA 4.0. Study order: none is claimed; materials are grouped by MIT's own sections. Taken from MIT's published course files, downloaded from ocw.mit.edu on September 23, 2026. How RedLectern is built.
Materials are grouped the way MIT organized them. A verified, course-wide order has not been established here.
Has MIT solutions
Before you start
Prerequisites are not listed here. Check MIT's own syllabus for this course.
How this course was organized
What's here, and what isn't
- MIT lists a session calendar for this course, but it could not be verified well enough to build a sequence from it — materials are grouped by section instead.
Not included here
2 items from the source could not be safely included:
- Referenced in a table, but without MIT's own verified order, so it isn't used to claim a sequence. (2 items)
Materials by section
Grouped by section, as MIT organized them. Not sequenced or ordered.
Lecture Notes
22 files
- Lecture 1: The algebra of Complex numbers Download
- Lecture 2: Exponential function & Logarithm for a complex argument Download
- Lecture 3: Analytic Functions; Rational Functions Download
- Lecture 4: Power Series Download
- Lecture 5: Exponentials and Trigonometric Functions Download
- Lecture 6: Conformal Maps; Linear Transformations Download
- Lecture 7: Linear Transformations Download
- Lecture 8: Line Integrals Download
- Lecture 9: Cauchy-Goursat Theorem Download
- Lecture 10: The Special Cauchy’s Formula and Applications Download
- Lecture 11: Isolated Singularities Download
- Lecture 12: The Local Mapping. Schwarz’s Lemma and non-Euclidean interpretation Download
- Lecture 13: The General Cauchy Theorem Download
- Lecture 14: The Residue Theorem and Application Download
- Lecture 15: Contour Integration and Applications Download
- Lecture 16: Harmonic Functions Download
- Lecture 17: Mittag-Leffer’s Theorem Download
- Lecture 18: Infinite Products Download
- Lecture 19: Normal Families Download
- Lecture 20: The Riemann Mapping Theorem Download
- Lecture 21 and 22: The Prime Number Theorem Download
- Lecture 23: The Gamma Function and the Functional Equation for the Zeta Function Download
Assignments
- Solution for 18.112 ps 1 Download
- Solution for 18.112 ps 2 Download
- Solution for 18.112 ps 3 Download
- Solution for 18.112 ps 4 Download
- Solution for 18.112 ps 5 Download
- Solution for 18.112 ps 6 Download
Exams
- Problems for 18.112 Mid 2 (Open Book) Download
- Problems for 18.112 Mid 2 (Open Book) Download
- Solution for 18.112 Final Examination Download
- Solution for 18.112 Mid 1 Download
- Solution for 18.112 Mid 1 Download
- Final Exam Download
Other materials from this course
MIT OpenCourseWare, Prof. Sigurdur Helgason, 18.112 Functions of a Complex Variable, Fall 2008.
License: CC BY-NC-SA 4.0 · Edition: Fall 2008 · Open the original course on OCW ↗
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