Calendar · Lecture Notes
MIT OpenCourseWare
Seminar in Geometry
Art: Johannes Kepler, Konjukce Saturnu a Jupiteru Originál, 1596 · Public domain
- Instructor
- Dr. Emma Carberry
- Term
- Fall 2004
- Level
- Undergraduate
- What's inside
- 1 lecture note · 1 reading · 31 other files · 5 web pages
- Materials open
- MIT OCW
About this course
Source: MIT OpenCourseWare 18.994 Seminar in Geometry, Fall 2004, Dr. Emma Carberry — 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.
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 26 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
7 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. (6 items)
- Referenced in a table, but without MIT's own verified order, so it isn't used to claim a sequence.
Materials by section
Grouped by section, as MIT organized them. Not sequenced or ordered.
Lecture Notes
21 files
- Professor’s instructions on preparing lectures for class Download
- This is the complete set of lecture notes for this course (main.pdf) Download
- Introduction Download
- A Review on Differentiation Download
- Inverse Function Theorem Download
- Implicit Function Theorem Download
- First Fundamental Form Download
- Curves Download
- Gauss Map I: Background and Definition Download
- Gauss Map II: Geometric Interpretation Download
- Gauss Map III: Local Coordinates Download
- Introduction to Minimal Surfaces I Download
- Introduction to Minimal Surfaces II Download
- Review on Complex Analysis I Download
- Review on Complex Analysis II Download
- Isothermal Parameters Download
- Bernstein’s Theorem Download
- Manifolds and Geodesics I Download
- Complete Minimal Surfaces I Download
- Weierstrass-Enneper Representations Download
- Gauss Maps and Minimal Surfaces Download
Assignments
- Homework 1 Download
- Homework 2 Download
- Homework 3 Download
- Homework 4 Download
- Homework 5 Download
- Homework 6 Download
Projects
- When is a minimal surface not area-minimizing? (Courtesy of Nizameddin H. Ordulu. Used with permission.) Download
- Characterizations of Complete Embedded Minimal Surfaces: Finite Curvature, Finite Topology, and Foliations (Courtesy of Michael Nagle. Used with permission.) Download
- Modern Examples of Complete Embedded Minimal Surfaces of Finite Total Curvature (Courtesy of David Glasser. Used with permission.) Download
- Minimal Surfaces as Isotropic Curves in C³: Associated minimal surfaces and the Bjoorling’s problem (Courtesy of Kai-Wing Fung. Used with permission.) Download
Other materials from this course
- This is an image of an equation used in readings table in 11th row Open ↗
- This is an image of an equation used in calendar table in 11 row Open ↗
- This is an image of an equation used in calendar table in 13th row Open ↗
- This is an image of an equation used in readings table in 13th row Open ↗
- a5.jpg Open ↗
Course outline
Calendar · Lecture Notes
Lecture 2: A Review on Differentiation
Calendar · Lecture Notes
Lecture 3: Inverse Function Theorem
Calendar · Lecture Notes
Lecture 4: Implicit Function Theorem
Calendar · Lecture Notes
Lecture 5: First Fundamental Form
Calendar · Lecture Notes
Lecture 6: Curves
Calendar · Lecture Notes
Lecture 7: Gauss Map I: Background and Definition
Calendar · Lecture Notes
Lecture 8: Gauss Map II: Geometric Interpretation
Calendar · Lecture Notes
Lecture 9: Gauss Map III: Local Coordinates
Calendar · Lecture Notes
Lecture 10: Introduction to Minimal Surfaces I
Calendar · Lecture Notes
Lecture 11: Introduction to Minimal Surfaces II
Calendar · Lecture Notes
Lecture 12: Review on Complex Analysis I
Calendar · Lecture Notes
Lecture 13: Review on Complex Analysis II
Calendar · Lecture Notes
Lecture 14: Isothermal Parameters and Harmonic Functions
Calendar · Lecture Notes
Lecture 15: Bernstein’s Theorem
Calendar · Lecture Notes
Lecture 16: Manifolds and Geodesics I
Calendar · Lecture Notes
Lecture 17: Manifolds and Geodesics II
Calendar · Lecture Notes
Lecture 18: Complete Minimal Surfaces I
Calendar · Lecture Notes
Lecture 19: Complete Minimal Surfaces II
Calendar · Lecture Notes
Lecture 20: Weierstrass-Enneper Representations
Calendar · Lecture Notes
Lecture 21: Gauss Maps and Minimal Surfaces
Calendar · Lecture Notes
Lecture 22: Project Talk
Calendar · Lecture Notes
Lecture 23: Project Talk
Calendar · Lecture Notes
Lecture 24: Project Talk
Calendar · Lecture Notes
Lecture 25: Project Talk
Calendar · Lecture Notes
Lecture 26: Project Talk
MIT OpenCourseWare, Dr. Emma Carberry, 18.994 Seminar in Geometry, Fall 2004.
License: CC BY-NC-SA 4.0 · Edition: Fall 2004 · Open the original course on OCW ↗
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