18.S996 | Spring 2013 | Graduate

Category Theory for Scientists

Readings and Assignments

Textbook

All readings and assignments are from the textbook, which is available online:

Spivak, David I. Category Theory for Scientists, 2013.

Key to the Readings

Chapter 1.1–1.3 means:

Read: Chapter 1, sections 1, 2, and 3.

Homework Assignments

Homework assignments are worth 33% of the final grade, are collected weekly, and are due during the session listed.

SES # READINGS HOMEWORK ASSIGNMENTS
3 Chapter 1–Chapter 2.2 All exercises in sections 2.1, 2.2
5 Chapter 2.3–2.5 Sections 2.3, 2.4, 2.5: your choice of four exercises in each section
8 Chapter 2.6–Chapter 3.1 Sections 2.6, 2.7, 3.1: your choice of four exercises in each section
12 Chapter 3.2–3.4 Sections 3.2, 3.3, 3.4: your choice of four exercises in each section
15 Chapter 3.5–Chapter 4.1

Section 3.5: your choice of four exercises

Section 4.1: your choice of eight exercises

18 Chapter 4.2

Section 4.1, after 4.1.2.24: your choice of four exercises

Section 4.2: your choice of eight exercises

21 Chapter 4.3–4.5.1 Sections 4.3, 4.4, 4.5.1: your choice of four exercises in each section
25

Chapter 4.5

Literature review: Find past work on your proposed topic

Sections 4.5.2, 4.5.3: your choice of four exercises in each section

Begin research on your final project

27 Chapter 4.6.1–Chapter 5.1.3 Sections 4.6, 5.1 (up through 5.1.3): your choice of three exercises in each section
28 Chapter 5.1.4–5.2 Sections 5.1.4, 5.2: your choice of three exercises in each section
30 Chapter 5.3

Section 5.3: your choice of three exercises

Final project due

35 Chapter 5.4

Section 5.4: your choice of two exercises

Summarize your experience in this class

Perhaps also of Interest

Baez, John C., and Mike Stay. “Physics, Topology, Logic, and Computation: A Rosetta Stone.” March 2, 2009.

Gromov, Misha. “In a Search for a Structure, Part 1: On Entropy.” (PDF) July 10, 2012.

Weinstein, Alan. “Groupoids Unifying Internal and External Symmetry: A Tour through Some Examples.” Notices of the American Mathematical Society 43 (1996): 744–52.

Course Info

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As Taught In
Spring 2013
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Projects with Examples
Online Textbook
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