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Update project: Sylvestre's DLA #71

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59 changes: 54 additions & 5 deletions src/sylvestre-DLA.xml
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Original file line number Diff line number Diff line change
Expand Up @@ -19,9 +19,8 @@ interest to the individuals named above.
<!-- ########### -->


<project xml:id="sylvestre-DLA" updated="2019-05-27">
<project xml:id="sylvestre-DLA" updated="2026-02-11">
<title>Discover Linear Algebra</title>
<subtitle>A First Course in Linear Algebra</subtitle>
<author url="https://sites.ualberta.ca/~jsylvest/"> <!-- or mailto: -->
<displayname>Jeremy Sylvestre</displayname>
<affiliation>U of Alberta (Augustana Campus)</affiliation>
Expand All @@ -42,14 +41,63 @@ interest to the individuals named above.
landing="https://sites.ualberta.ca/~jsylvest/books/dla.html"
source="https://github.com/jjrsylvestre/dla"
html="https://sites.ualberta.ca/~jsylvest/books/DLA/"
pdf="https://sites.ualberta.ca/~jsylvest/books/dla.html#book-links"
ancillary1="https://sites.ualberta.ca/~jsylvest/books/dla.html#resources"
/>
<description>
<p>A discovery-based approach to linear algebra.</p>
<p>Extended material to cover a second course in linear algebra is being finalized and will be released Summer 2019.</p>
<p>
The goal of this book is to help students <em>learn about</em> mathematics rather than try to <em>teach</em> them <em>a bunch of</em> mathematics.
Using the paradigm of <em>guided-discovery</em>,
students are led to model mathematics as a <em>discipline</em> and <em>practice of thought and investigation</em>,
rather than merely <em>subject matter</em> to <em>absorb</em>.
The beautiful topic of linear algebra is well-suited to this philosophy and pedagogical approach,
as many of its fundamental patterns are readily apparent from approachable examples.
</p>
<p>
<alert>One-semester version:</alert>
systems and matrices;
vectors and vector spaces;
eigenvalues/eigenvectors and diagonalization.
</p>
<p>
<alert>Two-semester version:</alert>
material from the one-semester version with additional chapters on
complex matrices and spaces, and change of basis;
similarity and matrix forms;
inner product spaces;
linear transformations.
Also included are appendices on complex numbers and on performing typical calculations using
<url href="https://www.sagemath.org/" visual="sagemath.org">SageMath</url>.
</p>
<p>
Chapters are (mostly) consistently structured into the following sections to give the student a uniform flow to encountering each new collection of ideas and patterns:
<ul>
<li><alert>Discovery guide:</alert>
Initial encounter through discovery- and problem-solving-based activities.
</li>
<li><alert>Terminology and notation:</alert>
Introduction of the communication tools necessary to begin a more sophisticated conversation about the new topics.
</li>
<li><alert>Concepts:</alert>
Fuller discussion of the new topics, grounded in reflections on the questions and results of the Discovery guide section.
</li>
<li><alert>Examples:</alert>
Computational examples to assist students with the procedural tasks related to the new topics, as well as additional examples that serve to illustrate certain concepts.
</li>
<li><alert>Theory:</alert> A more formal and general description of the concepts, with proofs.</li>
</ul>
In addition,
<em>Exercises</em> and <em>Reflect on your understanding</em> (reading questions) sections are currently being added.
</p>
<p>
See the <url href="https://sites.ualberta.ca/~jsylvest/books/dla.html">landing page</url>
and the <url href="https://sites.ualberta.ca/~jsylvest/books/DLA/preface.html#preface">Preface</url>
for more details on the pedagogical choices made in this book.
</p>
</description>

<onesentence>
Textbook for a discovery-based approach to linear algebra.
A discovery-based approach to linear algebra.
</onesentence>
<features
hints="no"
Expand All @@ -62,6 +110,7 @@ interest to the individuals named above.
instructor-solutions="no"
instructor-guide="no"
test-bank="no"
self-study="yes"
/>
</project>