Topics listed in the table correspond to chapters and sections in the textbook:
Spivak, David I. Category Theory for Scientists, 2013.
Sessions 30–36 list the topics for the students’ final project presentations.
SES # | TOPICS |
---|---|
1 |
1. Introduction 2. The category of sets 2.1. Sets and functions |
2 |
2.1. Sets and functions (cont.) 2.2. Commutative diagrams |
3 |
2.3. Ologs 2.4. Products and coproducts |
4 |
2.4. Products and coproducts (cont.) 2.5. Finite limits in set |
5 | 2.6. Finite limits in set (cont.) |
6 |
2.7. Other notions in set Mini-project: What are wiring diagrams? |
7 |
2.7. Other notions in set (cont.) 3. Categories and functors, without admitting it 3.1. Monoids |
8 |
3.1. Monoids (cont.) 3.2. Groups |
9 | 3.3. Graphs (cont.) |
10 | 3.4. Orders |
11 |
3.4. Orders (cont.) 3.5. Databases: schemas and instances |
12 |
4. Basic category theory 4.1. Categories and functors |
13 | 4.1. Categories and functors (cont.) |
14 | 4.1. Categories and functors (cont.) |
15 |
4.1. Categories and functors (cont.) 4.2. Categories and functors commonly arising in mathematics |
16 | 4.2. Categories and functors commonly arising in mathematics (cont.) |
17 | 4.3. Natural transformations |
18 | 4.3. Natural transformations (cont.) |
19 |
4.4. Categories and schemas are equivalent , Cat ≅ Sch 5.3. Monads |
20 | 4.5. Limits and colimits |
21 | 4.5. Limits and colimits (cont.) |
22 | Discuss final project possibilities |
23 | 4.6. Other notions in Cat |
24 |
4.6. Other notions in Cat (cont.) 5. Categories at work 5.1. Adjoint functors |
25 | 5.1. Adjoint functors (cont.) |
26 | 5.1. Adjoint functors (cont.) |
27 | 5.2. Categories of functors |
28 |
5.2. Categories of functors (cont.) 5.3. Monads |
29 | 5.3. Monads (cont.) |
30 |
Student Presentation: Student Presentation: |
31 |
Student Presentation: Student Presentation: |
32 |
Student Presentation: 5.4. Operads |
33 |
Student Presentation: 5.4. Operads (cont.) |
34 |
Student Presentation: 5.4. Operads (cont.) |
35 |
Student Presentation: Student Presentation: |
36 |
Student Presentation: Student Presentation: |