# Topics #
These topics are organized in two ways: by their content, and by the
week in which they were introduced.
## Topics by content ##
* [[What is computation?|topics/week3_what_is_computation]]
* Functional Programming
* [[Introduction|topics/week1 kapulet intro]]
* [[Week 1 Advanced notes|topics/week1 kapulet advanced]]
* [["Rosetta Stone" page #1 for Kaupulet, Scheme, OCaml, Haskell|rosetta1]]
* Offsite links for help on [[learning Scheme]], [[OCaml|learning OCaml]], and [[Haskell|learning Haskell]]
* [[List Comprehensions|topics/week3 lists#comprehensions]]
* [[Unit and its usefulness|topics/week3 unit]]
* More tips on using Scheme
* Order, "static versus dynamic"
* [[Order in programming languages and natural language|topics/week1 order]]
* Reduction Strategies and Normal Forms in the Lambda Calculus
* Usefulness of `()`
* The Lambda Calculus
* [[Introduction to the Lambda Calculus|topics/week2 lambda intro]]
* [[Advanced notes on the Lambda Calculus|topics/week2 lambda advanced]]
* Encoding data types in the Lambda Calculus
* [[Booleans|topics/week2 encodings#booleans]]
* [[Tuples|topics/week2 encodings#tuples]]
* [[Lists|topics/week2 encodings#lists]], v1 (as right-folds)
* [[Numbers|topics/week2 encodings#numbers]], v1 ("Church's encoding")
* [[Arithmetic with Church numbers|topics/week3_church_arithmetic]]
* [[How to get the `tail` of v1 lists?|topics/week3 lists#tails]]
* [[Some other list encodings|topics/week3 lists#other-lists]]
* Reduction Strategies and Normal Forms
* [[Fixed point combinators|topics/week4_fixed_point_combinators]]
* [[Combinatory Logic|topics/week3 combinatory logic]]
## Topics by week ##
Week 1:
* [[Order in programming languages and natural language|topics/week1 order]]
This discussion considers conjunction in a language that recognized presupposition failure.
* [[Introduction to functional programming|topics/week1 kapulet intro]]
Basics of functional programming: `let`, `case`, pattern matching, and
recursion. Definitions of factorial.
* [[Advanced notes on functional programming|topics/week1 kapulet advanced]]
* [[Homework for week 1|exercises/assignment1]] ([[Answers|exercises/assignment1_answers]])
Week 2:
* [[Introduction to the Lambda Calculus|topics/week2 lambda intro]]
* [[Advanced notes on the Lambda Calculus|topics/week2 lambda advanced]]
* [[Encoding Booleans, Tuples, Lists, and Numbers|topics/week2 encodings]]
* [[Homework for week 2|exercises/assignment2]] ([[Answers|exercises/assignment2_answers]])
Week 3:
*These notes were developed over the course of the week. It'd be a good idea to review them again now, to be sure you've read all the content.*
* [[Arithmetic with Church numbers|topics/week3_church_arithmetic]]
* [[More on Lists|topics/week3 lists]]
Introduces list comprehensions, discusses how to get the `tail` of lists in the Lambda Calculus, and some new list encodings
* [[What is computation?|topics/week3_what_is_computation]]
* Reduction Strategies and Normal Forms (will try to post soon)
* [[Unit and its usefulness|topics/week3 unit]]
* [[Combinatory Logic|topics/week3 combinatory logic]]
* [[Homework for week 3|exercises/assignment3]]
Week 4:
* [[Fixed point combinators|topics/week4_fixed_point_combinators]]
* More on fixed point combinators (in progress)
* Towards types (in progress)