TeamBasedInquiryLearning · jkostiuk · May 7, 2026 · Apr 28, 2026 · Apr 29, 2026 · Apr 29, 2026
diff --git a/source/linear-algebra/source/01-LE/main.ptx b/source/linear-algebra/source/01-LE/main.ptx
@@ -2,6 +2,22 @@
 <chapter xml:id="LE" xmlns:xi="http://www.w3.org/2001/XInclude">
     <title component="html">Systems of Linear Equations (LE)</title>
     <title component="print">Systems of Linear Equations</title>
+    <introduction>
+        <p>One of the fundamental lessons of calculus is that many complicated problems
+            can be solved by taking linear approximations to complicated functions.  This
+            often produces several linear equations for which we want to know when they are simultaneously
+            true; that is, we would like to solve this <term>system</term> of linear equations.
+            This chapter centers around that fundamental question, building off of your intuition
+            for what happens in the simplest case of two equations in two variables.  Geometrically,
+            this corresponds to finding the intersection of two lines in the plane.  As we introduce more 
+            variables, we quickly lose our ability to visualize this process geometrically, so we will 
+            introduce a tool called a <term>matrix</term> to help us solve these.
+        </p>
+        <assemblage>
+            <title>Motivating Question</title>
+            <xi:include href="./outcomes/question.ptx"/>
+        </assemblage>
+    </introduction>
     <xi:include href="outcomes/main.ptx"/>
     <xi:include href="./readiness.ptx"/>
     <xi:include href="01.ptx"/>

diff --git a/source/linear-algebra/source/01-LE/outcomes/main.ptx b/source/linear-algebra/source/01-LE/outcomes/main.ptx
@@ -1,7 +1,6 @@
 <?xml version='1.0' encoding='UTF-8'?>
 <objectives xmlns:xi="http://www.w3.org/2001/XInclude">
     <introduction>
-        <xi:include href="./question.ptx"/>
         <p>
 By the end of this chapter, you should be able to...
         </p>

diff --git a/source/linear-algebra/source/02-EV/main.ptx b/source/linear-algebra/source/02-EV/main.ptx
@@ -2,6 +2,20 @@
 <chapter xml:id="EV" xmlns:xi="http://www.w3.org/2001/XInclude">
     <title component="html">Euclidean Vectors (EV)</title>
     <title component="print">Euclidean Vectors</title>
+    <introduction>
+        <p>
+            In <xref ref="LE"/>, we saw how matrices and vectors were useful tools in solving
+            systems of linear equations.  In this chapter, we will explore the structure of
+            the <term>space</term> of vectors, and in particular see how solving systems
+            of linear equations helps us understand this structure.  Finally, in <xref ref="EV7"/>
+            we will see how our newfound knowledge of this structure applies back to more
+            fully understanding solution sets of linear systems.
+        </p>
+        <assemblage>
+            <title>Motivating Question</title>
+            <xi:include href="./outcomes/question.ptx"/>
+        </assemblage>
+    </introduction>
     <xi:include href="outcomes/main.ptx"/>
     <xi:include href="readiness.ptx"/>
     <xi:include href="01.ptx"/>

diff --git a/source/linear-algebra/source/02-EV/outcomes/main.ptx b/source/linear-algebra/source/02-EV/outcomes/main.ptx
@@ -1,7 +1,6 @@
 <?xml version='1.0' encoding='UTF-8'?>
 <objectives xmlns:xi="http://www.w3.org/2001/XInclude">
     <introduction>
-        <xi:include href="./question.ptx"/>
         <p>
 By the end of this chapter, you should be able to...
         </p>

diff --git a/source/linear-algebra/source/03-AT/main.ptx b/source/linear-algebra/source/03-AT/main.ptx
@@ -2,6 +2,20 @@
 <chapter xml:id="AT" xmlns:xi="http://www.w3.org/2001/XInclude">
     <title component="html">Algebraic Properties of Linear Maps (AT)</title>
     <title component="print">Algebraic Properties of Linear Maps</title>
+    <introduction>
+        <p>
+            In this chapter, we deepen our exploration of vector spaces through
+            a widespread technique in mathematics: in order to understand the structure
+            of mathematical objects, we study functions between those objects.  In this case,
+            we introduce <term>linear transformations</term> as structure-preserving functions
+            between spaces of vectors.  We begin here by taking a mostly algebraic approach,
+            deferring geometric explorations for later chapters.
+        </p>
+        <assemblage>
+            <title>Motivating Question</title>
+            <xi:include href="./outcomes/question.ptx"/>
+        </assemblage>
+    </introduction>
     <xi:include href="outcomes/main.ptx"/>
     <xi:include href="readiness.ptx"/>
     <xi:include href="01.ptx"/>

diff --git a/source/linear-algebra/source/03-AT/outcomes/main.ptx b/source/linear-algebra/source/03-AT/outcomes/main.ptx
@@ -1,7 +1,6 @@
 <?xml version='1.0' encoding='UTF-8'?>
 <objectives xmlns:xi="http://www.w3.org/2001/XInclude">
     <introduction>
-        <xi:include href="./question.ptx"/>
         <p>
 By the end of this chapter, you should be able to...
         </p>

diff --git a/source/linear-algebra/source/04-MX/main.ptx b/source/linear-algebra/source/04-MX/main.ptx
@@ -2,6 +2,18 @@
 <chapter xml:id="MX" xmlns:xi="http://www.w3.org/2001/XInclude">
     <title component="html">Matrices (MX)</title>
     <title component="print">Matrices</title>
+    <introduction>
+        <p>
+            In Chapter <xref ref="AT"/>, we saw that matrices are fundamentally just
+            a representation of linear transformations (with respect to a choice of basis).
+            Here, we explore the algebraic structure of the set of matrices of a given size,
+            which will provide us further tools for understanding linear transformations.
+        </p>
+        <assemblage>
+            <title>Motivating Question</title>
+            <xi:include href="./outcomes/question.ptx"/>
+        </assemblage>
+    </introduction>
     <xi:include href="outcomes/main.ptx"/>
     <xi:include href="readiness.ptx"/>
     <xi:include href="01.ptx"/>

diff --git a/source/linear-algebra/source/04-MX/outcomes/main.ptx b/source/linear-algebra/source/04-MX/outcomes/main.ptx
@@ -1,7 +1,6 @@
 <?xml version='1.0' encoding='UTF-8'?>
 <objectives xmlns:xi="http://www.w3.org/2001/XInclude">>
     <introduction>
-        <xi:include href="./question.ptx"/>
         <p>
 By the end of this chapter, you should be able to...
         </p>

diff --git a/source/linear-algebra/source/05-GT/main.ptx b/source/linear-algebra/source/05-GT/main.ptx
@@ -2,6 +2,20 @@
 <chapter xml:id="GT" xmlns:xi="http://www.w3.org/2001/XInclude">
     <title component="html">Geometric Properties of Linear Maps (GT)</title>
     <title component="print">Geometric Properties of Linear Maps</title>
+    <introduction>
+        <p>
+            In this chapter, we continue our study of linear transformations by studying
+            them from a geometric perspective.  The tools we explore in this chapter,
+            namely <term>determinants</term> and <term>eigenvectors</term> are incredibly
+            pervasive in mathematics and applications thereof (in fact, it is likely you 
+            have already used determinants as a computational tool in other courses prior 
+            to fully understanding them).
+        </p>
+        <assemblage>
+            <title>Motivating Question</title>
+            <xi:include href="./outcomes/question.ptx"/>
+        </assemblage>
+    </introduction>
     <xi:include href="outcomes/main.ptx"/>
     <xi:include href="readiness.ptx"/>
     <xi:include href="01.ptx"/>

diff --git a/source/linear-algebra/source/05-GT/outcomes/main.ptx b/source/linear-algebra/source/05-GT/outcomes/main.ptx
@@ -1,7 +1,6 @@
 <?xml version='1.0' encoding='UTF-8'?>
 <objectives xmlns:xi="http://www.w3.org/2001/XInclude">>
     <introduction>
-        <xi:include href="./question.ptx"/>
         <p>
 By the end of this chapter, you should be able to...
         </p>

diff --git a/source/linear-algebra/source/future-ON/main.ptx b/source/linear-algebra/source/future-ON/main.ptx
@@ -1,6 +1,13 @@
 <?xml version='1.0' encoding='UTF-8'?>
 <chapter xml:id="ON" xmlns:xi="http://www.w3.org/2001/XInclude">
     <title>Orthogonal and Orthonormal Vectors (ON - Coming Soon!)</title>
+    <p>TODO: Add introductory text</p>
+    <introduction>
+        <assemblage>
+            <title>Motivating Question</title>
+            <xi:include href="./outcomes/question.ptx"/>
+        </assemblage>
+    </introduction>
     <xi:include href="outcomes/main.ptx"/>
     <xi:include href="./readiness.ptx"/>
     <xi:include href="01.ptx"/>

diff --git a/source/linear-algebra/source/future-ON/outcomes/main.ptx b/source/linear-algebra/source/future-ON/outcomes/main.ptx
@@ -1,7 +1,6 @@
 <?xml version='1.0' encoding='UTF-8'?>
 <objectives xmlns:xi="http://www.w3.org/2001/XInclude">>
     <introduction>
-        <xi:include href="./question.ptx"/>
         <p>
 By the end of this chapter, you should be able to...
         </p>

diff --git a/xsl/print.xsl b/xsl/print.xsl
@@ -49,6 +49,26 @@
     <xsl:text>fonttitle=\bfseries,</xsl:text>
   </xsl:template>
 
+  <!--Remove thin rule from assemblage-->
+  <xsl:template match="assemblage" mode="tcb-style">
+    <xsl:text>size=normal, colback=white, colbacktitle=white, coltitle=black, colframe=black, rounded corners, center title, fonttitle=\blocktitlefont\bfseries, blockspacingstyle, </xsl:text>
+    <xsl:text>titlerule=-1pt,</xsl:text>
+  </xsl:template>
+
+  <!--Style outcomes-->
+  <xsl:template match="objectives" mode="tcb-style">
+    <xsl:text>colframe=black,</xsl:text>
+    <xsl:text>colback=white,</xsl:text>
+    <xsl:text>coltitle=black,</xsl:text>
+    <xsl:text>colbacktitle=white,</xsl:text>
+    <xsl:text>fonttitle=\bfseries,</xsl:text>
+    <xsl:text>halign title=flush center,</xsl:text>
+    <!--I don't know why 0pt still leaves a thin rule, but -1pt eliminates it-->
+    <xsl:text>boxrule=-1pt,</xsl:text>
+    <xsl:text>titlerule=2pt,</xsl:text>
+    <!--<xsl:text>enhanced jigsaw</xsl:text>-->
+  </xsl:template>
+
   <!--Tweak display of references-->
   <xsl:template match="xref" mode="latex-page-number">
       <xsl:param name="target"/>