MIT OpenCourseWare

Browse materialsMIT 18.04 · Spring 2018

Complex Variables with Applications

Subjects: Algebra · Calculus · Mathematics

Art: Johannes Kepler, Konjukce Saturnu a Jupiteru Originál, 1596 · Public domain

Instructor: Dr. Jeremy Orloff
Term: Spring 2018
Level: Undergraduate
What's inside: 25 solutions · 1 lecture note · 12 handouts · 34 other files · 10 web pages
Materials open: MIT OCW

Other versions of this course

18.04 · Spring 2018 · Study here (this version)
18.04 · Fall 1999 · Study here

Start here

Start course: Lecture 1: Course Introduction (PDF) Topic 1: Complex Algebra…Find a topic

Progress is saved in this browser.

Export or import progress

About this course

Source: MIT OpenCourseWare 18.04 Complex Variables with Applications, Spring 2018, Dr. Jeremy Orloff — original course page on ocw.mit.edu ↗. License: CC BY-NC-SA 4.0. Study order: MIT's own listing order, section by section. 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 22 files in this course are named by MIT as 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

A lecture sequence of 12 items is confirmed. Assignment and exam materials exist too, but MIT's own order for them could not be verified, so they're shown as materials below rather than a sequence.

Not included here

6 items from the source could not be safely included:

MIT's page format for this item wasn't recognized clearly enough to place it safely. (3 items)
Referenced in a table, but without MIT's own verified order, so it isn't used to claim a sequence. (3 items)

Materials by section

Grouped by section, as MIT organized them. Not sequenced or ordered.

Lecture Notes

15 files

Recitations

24 files

Problem Sets

18 files

Exams

Study Materials

8 files

Other materials from this course

MIT OpenCourseWare, Dr. Jeremy Orloff, 18.04 Complex Variables with Applications, Spring 2018.

License: CC BY-NC-SA 4.0 · Edition: Spring 2018 · Open the original course on OCW ↗

Organized by RedLectern, independent of MIT and not endorsed by MIT.

Per-resource rights are recorded on each resource; All-Rights-Reserved items are link-only, never mirrored.

Complex Variables with Applications

Before you start

What's here, and what isn't

Not included here

Materials by section

Lecture Notes

Recitations

Problem Sets

Exams

Study Materials

Other materials from this course

Lecture 1: Course Introduction (PDF) Topic 1: Complex Algebra and the Complex Plane (PDF) [Topic 1.1–1.6.2]

Lecture 2: Topic 1: Complex Algebra and the Complex Plane (PDF) [Topic 1.6.3–1.14.2]

Lecture 7: Review of 18.02 Multivariable Calculus (PDF)

Lecture 13: Topic 5: Harmonic Functions (PDF) [Topic 5.1–5.4]

Lecture 14: Review for Exam 1

Lecture 15: Topic 5: Harmonic Functions (PDF) [Topic 5.5–5.6] Topic 6: Two-Dimensional Hydrodynamics and Complex Potentials (PDF) [Topic 6.1–6.4]

Lecture 16: Topic 6: Two-Dimensional Hydrodynamics and Complex Potentials (PDF) [Topic 6.5–6.7]

Lecture 26: Topic 10: Conformal Transformations (PDF) [Topic 10.1–10.4]

Lecture 27: Review for Exam 2

Lecture 28: Topic 10: Conformal Transformations (PDF) [Topic 10.5–10.8]

Lecture 29: Topic 10: Conformal Transformations (PDF) [Topic 10.8–10.11]

Lecture 37: Topic 13: Analytic Continuation and the Gamma Function (PDF)