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Add section for Kevin Sullivan UVa ugrad course in discrete math #412
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# | ||||||
# This list is not ordered. Add new entries wherever you want. | ||||||
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# Entries in this file should have the following fields: | ||||||
# | ||||||
# `name`: the title of the course | ||||||
# `instructor`: the name of the person or people who taught the course | ||||||
# `institution`: the name of the institution at which the course was taught | ||||||
# `year`: the most recent year the course was taught | ||||||
# `lean_version`: 3 or 4, the Lean version of the most recent iteration of the course | ||||||
# `summary`: a description of what was covered and done in the course | ||||||
# `tags`: a list of tags (see below) | ||||||
# `website` (optional): the course's home page | ||||||
# `material` (optional): a link to a textbook, course notes, etc | ||||||
# `repo` (optional): a link to the course's project repository, e.g. on GitHub | ||||||
# `experiences` (optional): a reflection about how the course went, things that could be done differently, etc | ||||||
# `language` (optional): if the instruction language was not English, what language was it? | ||||||
# | ||||||
# Please use tags that are shown on the website. In particular, each entry should have | ||||||
# a general subject (`mathematics`, `logic`, `computer science`). | ||||||
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- name: Introduction to formal verification of mathematics | ||||||
instructor: Philip Matchett Wood | ||||||
institution: Harvard University | ||||||
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summary: > | ||||||
The goal of the course is to teach the basics of Lean to first year undergraduate students in a double major program in mathematics and computer science. | ||||||
year: 2023 | ||||||
- name: Discrete Mathematics for Computer Science and Engineering | ||||||
instructor: Kevin Sullivan | ||||||
contact: [email protected] | ||||||
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Suggested change
not a field that is used |
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institution: University of Virginia, Dept. of Computer Science | ||||||
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website: https://computingfoundations.org | ||||||
environment: Coursework is supported by a VS-Code+Docker remote container. | ||||||
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lean_version: 4 | ||||||
tags: ['mathematics','computer science', 'programming-first', 'discrete'] | ||||||
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Suggested change
Perhaps "functional programming" too? Trying to reuse existing tags rather than introducing new ones. |
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summary: > | ||||||
The course is intended to replace the broad, shallow, paper-and-pencil, usually | ||||||
set-theory based courses in discrete mathematics, almost universally taught to | ||||||
early undergraduate students. Distinguishing features of this course include the | ||||||
folowing: (1) based on Lean, it offers a type-theory-unified, rigorously formal | ||||||
introduction to the topics typically covered in undergraduate discrete mathematics | ||||||
as well as providing a strong foundation in elementary type theory and functional | ||||||
programming. (2) Based on numerous years of experience, the course materials in Lean | ||||||
use a carefully selected subset of Lean features, to keep the focus on the concepts | ||||||
and their formal expression using standard mathematical notations. (3) This course | ||||||
is based on the hypothesis that engaging CS students' interests in advancing their | ||||||
understanding not of logic and abstract mathematics but of computation will lead to | ||||||
better learning outcomes and student satisfaction. The trick it employs is to first | ||||||
work up to programming with product, sum, and *function-to-Empty* types, and encoding | ||||||
logical propositions and proofs as function types and implementations; and only when | ||||||
students have learned this programming skill do we cross the Curry-Howard bridge to | ||||||
formal logic, in Prop. With these computing and logical foundations laid, the course | ||||||
then presents topics typically covered in discrete mathematics courses, including | ||||||
induction axioms, their use in constructing both recursive functions and proofs by | ||||||
induction, and well-ordered relations as capstone idea. (The last bits of the course | ||||||
remain in the publication pipeline and will appear online shortly). | ||||||
experiences: > | ||||||
This course has evolved over a period of about five years, through repeated annual | ||||||
offerings in the Department of Computer Science at the University of Virginia. In | ||||||
the Fall of 2023 it was taught to *160 UVa undergraduate students*, as their second | ||||||
course in our BA and BS programs Computer Science. In comparison with its previous | ||||||
offerings, this year's restructuring to employ a programming-first on-ramp strategy | ||||||
appears to have worked very well, both in learning outcomes and student satisfaction. | ||||||
We have not yet conducted IRB-approved studies of these parameters. The course will | ||||||
be offered again in the Fall of 2024. | ||||||
year: 2023, | ||||||
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- name: Some high-school mathematics in Lean | ||||||
instructor: Peter Pfaffelhuber | ||||||
institution: University of Freiburg, Germany | ||||||
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This is duplicated from above.