MASSACHUSETTS INSTITUTE OF TECHNOLOGY · UNITED STATES
Geometry and Topology in the Plane
Bachelor's · Taught in en
At a glance
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Duration
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IELTS
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Tuition / yr
en
Language
Bachelor's
Level
- Undergraduate LevelLevel
- Spring 2023As Taught In
- Professor Paul SeidelInstructor
- Mathematics DepartmentDepartment
This undergraduate course explores the fundamental concepts of geometry and topology within a two-dimensional plane. It delves into the properties and structures of shapes and spaces, focusing on how they can be understood and transformed without tearing or gluing. The course covers topics such as topological invariants, surface classifications, and the fundamental group, providing a rigorous introduction to these advanced mathematical fields. It is designed for students with a solid foundation in undergraduate mathematics. Learning resources from the Spring 2023 offering, including lecture notes and problem sets, are available. The course is taught by Professor Paul Seidel in the Department of Mathematics.
Curriculum
The course curriculum includes lecture notes and problem sets covering various aspects of geometry and topology in the plane.
- Spring 2023
- Betti Numbers18.900
Frequently asked questions
- What is the "Geometry and Topology in the Plane" undergraduate course about?
- This undergraduate course explores fundamental concepts of geometry and topology in a two-dimensional plane, focusing on properties of shapes and how they can be transformed without tearing or gluing. It covers topics like topological invariants and surface classifications.
- Who teaches the "Geometry and Topology in the Plane" course?
- The course is taught by Professor Paul Seidel in the Department of Mathematics.
- What learning resources are available for this course?
- Learning resources from the Spring 2023 offering, including lecture notes and problem sets, are available.
- What are the potential career outcomes after studying "Geometry and Topology in the Plane"?
- While specific outcomes are not detailed, a strong foundation in mathematics, geometry, and topology can lead to analytical and research roles in academia, technology, finance, and data science.
- Where can I find information on tuition fees and living costs?
- Tuition fees and living costs for this specific course are not detailed and would typically be found on general MIT admissions pages.
- What are the application deadlines for this program?
- The provided information details application windows for graduate programs, not this specific undergraduate course. Application deadlines for undergraduate admissions would be found on general MIT admissions pages.
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Fees
Tuition (international)Tuition fees are not specified for this course. Information on fees and living costs would typically be found on general MIT admissions pages.
Tuition (home)Tuition fees are not specified for this course. Information on fees and living costs would typically be found on general MIT admissions pages.
LivingLiving costs are not specified for this course. Information on fees and living costs would typically be found on general MIT admissions pages.
How to apply
1. Online ApplicationSubmit your application through the MIT graduate admissions portal.
2. Prepare DocumentsHave scanned (PDF) copies of your academic transcripts and, for international applicants, your IELTS or TOEFL exam documents ready. These unofficial documents are sufficient for the initial review. Official documents will be required upon admission.
3. Letters of RecommendationArrange for three letters of recommendation to be submitted electronically. At least two should be academic recommendations if you are currently a student. You can request these through the application system.
4. Statement of PurposeWrite a statement detailing your scientific goals, why you wish to pursue them at MIT (mentioning specific faculty research interests), and relevant experiences. You may also discuss challenges overcome and contributions to the MIT community.
5. Academic TranscriptUpload a PDF of your transcript. Official transcripts will be required later for admitted students and should be mailed directly from the registrar's office of each attended institution to the program address.
6. Application FeeEnsure the application fee is paid as part of the submission process.
Scholarships
Departmental FellowshipsStipend of $3,643.76 per month (effective June 1, 2023), plus a tuition award.
Research Assistantship (RA)—
Teaching Assistantship (TA)—
Frequently asked questions
What is the "Geometry and Topology in the Plane" undergraduate course about?
+
This undergraduate course explores fundamental concepts of geometry and topology in a two-dimensional plane, focusing on properties of shapes and how they can be transformed without tearing or gluing. It covers topics like topological invariants and surface classifications.
Who teaches the "Geometry and Topology in the Plane" course?
+
The course is taught by Professor Paul Seidel in the Department of Mathematics.
What learning resources are available for this course?
+
Learning resources from the Spring 2023 offering, including lecture notes and problem sets, are available.
What are the potential career outcomes after studying "Geometry and Topology in the Plane"?
+
While specific outcomes are not detailed, a strong foundation in mathematics, geometry, and topology can lead to analytical and research roles in academia, technology, finance, and data science.
Where can I find information on tuition fees and living costs?
+
Tuition fees and living costs for this specific course are not detailed and would typically be found on general MIT admissions pages.
What are the application deadlines for this program?
+
The provided information details application windows for graduate programs, not this specific undergraduate course. Application deadlines for undergraduate admissions would be found on general MIT admissions pages.