From af03e01979913e5fbe7e520fd962d718148262ab Mon Sep 17 00:00:00 2001 From: Drew Lewis Date: Tue, 28 Apr 2026 22:01:07 +0000 Subject: [PATCH 1/8] XSL setup and chapter 1 --- source/linear-algebra/source/01-LE/main.ptx | 13 +++++++++++++ .../linear-algebra/source/01-LE/outcomes/main.ptx | 1 - xsl/print.xsl | 5 +++++ 3 files changed, 18 insertions(+), 1 deletion(-) diff --git a/source/linear-algebra/source/01-LE/main.ptx b/source/linear-algebra/source/01-LE/main.ptx index c36034be5..ab647db3d 100644 --- a/source/linear-algebra/source/01-LE/main.ptx +++ b/source/linear-algebra/source/01-LE/main.ptx @@ -2,6 +2,19 @@ Systems of Linear Equations (LE) Systems of Linear Equations + +

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 system 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. As we introduce more variables, + we quickly lose our ability to visualize this process geometrically, so we will introduce + a tool called a matrix to help us solve these. +

+ + diff --git a/source/linear-algebra/source/01-LE/outcomes/main.ptx b/source/linear-algebra/source/01-LE/outcomes/main.ptx index 190833bbe..84dd96b45 100644 --- a/source/linear-algebra/source/01-LE/outcomes/main.ptx +++ b/source/linear-algebra/source/01-LE/outcomes/main.ptx @@ -1,7 +1,6 @@ -

By the end of this chapter, you should be able to...

diff --git a/xsl/print.xsl b/xsl/print.xsl index 883342c08..244299f4f 100644 --- a/xsl/print.xsl +++ b/xsl/print.xsl @@ -49,4 +49,9 @@ fonttitle=\bfseries, + + + title={Question}, bwminimalstyle, fonttitle={\blocktitlefont\upshape\bfseries\large}, blockspacingstyle, after title={\space}, before upper app={\setparstyle}, + + \ No newline at end of file From cdca7c6f84ea121ffbbb8bc6a82f460b6f39c3e6 Mon Sep 17 00:00:00 2001 From: Drew Lewis Date: Wed, 29 Apr 2026 15:20:38 +0000 Subject: [PATCH 2/8] Switch to assemblage --- source/linear-algebra/source/01-LE/main.ptx | 11 +++++++---- xsl/print.xsl | 4 ---- 2 files changed, 7 insertions(+), 8 deletions(-) diff --git a/source/linear-algebra/source/01-LE/main.ptx b/source/linear-algebra/source/01-LE/main.ptx index ab647db3d..bf655c49b 100644 --- a/source/linear-algebra/source/01-LE/main.ptx +++ b/source/linear-algebra/source/01-LE/main.ptx @@ -9,11 +9,14 @@ true; that is, we would like to solve this system 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. As we introduce more variables, - we quickly lose our ability to visualize this process geometrically, so we will introduce - a tool called a matrix to help us solve these. + 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 matrix to help us solve these.

- + + Motivating Question + + diff --git a/xsl/print.xsl b/xsl/print.xsl index 244299f4f..fa7d31e8a 100644 --- a/xsl/print.xsl +++ b/xsl/print.xsl @@ -49,9 +49,5 @@ fonttitle=\bfseries, - - - title={Question}, bwminimalstyle, fonttitle={\blocktitlefont\upshape\bfseries\large}, blockspacingstyle, after title={\space}, before upper app={\setparstyle}, - \ No newline at end of file From de8489d48bc0c07b801ec149d3f497f0741706df Mon Sep 17 00:00:00 2001 From: Drew Lewis Date: Wed, 29 Apr 2026 15:21:04 +0000 Subject: [PATCH 3/8] chapter 2 --- source/linear-algebra/source/02-EV/main.ptx | 14 ++++++++++++++ .../linear-algebra/source/02-EV/outcomes/main.ptx | 1 - 2 files changed, 14 insertions(+), 1 deletion(-) diff --git a/source/linear-algebra/source/02-EV/main.ptx b/source/linear-algebra/source/02-EV/main.ptx index a69c1329d..9594111a3 100644 --- a/source/linear-algebra/source/02-EV/main.ptx +++ b/source/linear-algebra/source/02-EV/main.ptx @@ -2,6 +2,20 @@ Euclidean Vectors (EV) Euclidean Vectors + +

+ In , 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 space of vectors, and in particular see how solving systems + of linear equations helps us understand this structure. Finally, in + we will see how our newfound knowledge of this structure applies back to more + fully understanding solution sets of linear systems. +

+ + Motivating Question + + + diff --git a/source/linear-algebra/source/02-EV/outcomes/main.ptx b/source/linear-algebra/source/02-EV/outcomes/main.ptx index f7dd87c17..3cfb71de7 100644 --- a/source/linear-algebra/source/02-EV/outcomes/main.ptx +++ b/source/linear-algebra/source/02-EV/outcomes/main.ptx @@ -1,7 +1,6 @@ -

By the end of this chapter, you should be able to...

From 0e98f58cf9d32a5a086ade19acddafb27d320f6c Mon Sep 17 00:00:00 2001 From: Drew Lewis Date: Wed, 29 Apr 2026 15:24:57 +0000 Subject: [PATCH 4/8] Chapter 3 --- source/linear-algebra/source/03-AT/main.ptx | 14 ++++++++++++++ .../linear-algebra/source/03-AT/outcomes/main.ptx | 1 - 2 files changed, 14 insertions(+), 1 deletion(-) diff --git a/source/linear-algebra/source/03-AT/main.ptx b/source/linear-algebra/source/03-AT/main.ptx index 0e4434ae3..7327b0e1e 100644 --- a/source/linear-algebra/source/03-AT/main.ptx +++ b/source/linear-algebra/source/03-AT/main.ptx @@ -2,6 +2,20 @@ Algebraic Properties of Linear Maps (AT) Algebraic Properties of Linear Maps + +

+ 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 linear transformations as structure-preserving functions + between spaces of vectors. We begin here by taking a mostly algebraic approach, + deferring geometric explorations for later chapters. +

+ + Motivating Question + + + diff --git a/source/linear-algebra/source/03-AT/outcomes/main.ptx b/source/linear-algebra/source/03-AT/outcomes/main.ptx index baf2a08c7..174c4f5a3 100644 --- a/source/linear-algebra/source/03-AT/outcomes/main.ptx +++ b/source/linear-algebra/source/03-AT/outcomes/main.ptx @@ -1,7 +1,6 @@ -

By the end of this chapter, you should be able to...

From ed54a62576ab8a251dc5636300384287a3007606 Mon Sep 17 00:00:00 2001 From: Drew Lewis Date: Wed, 29 Apr 2026 15:28:15 +0000 Subject: [PATCH 5/8] Chapter 4 --- source/linear-algebra/source/04-MX/main.ptx | 12 ++++++++++++ source/linear-algebra/source/04-MX/outcomes/main.ptx | 1 - 2 files changed, 12 insertions(+), 1 deletion(-) diff --git a/source/linear-algebra/source/04-MX/main.ptx b/source/linear-algebra/source/04-MX/main.ptx index c22b2aedb..1a992ee17 100644 --- a/source/linear-algebra/source/04-MX/main.ptx +++ b/source/linear-algebra/source/04-MX/main.ptx @@ -2,6 +2,18 @@ Matrices (MX) Matrices + +

+ In Chapter , 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. +

+ + Motivating Question + + + diff --git a/source/linear-algebra/source/04-MX/outcomes/main.ptx b/source/linear-algebra/source/04-MX/outcomes/main.ptx index 60798603d..8e7f16f9d 100644 --- a/source/linear-algebra/source/04-MX/outcomes/main.ptx +++ b/source/linear-algebra/source/04-MX/outcomes/main.ptx @@ -1,7 +1,6 @@ > -

By the end of this chapter, you should be able to...

From 4b2bfcbf4a3154cbf2d622de286185a9c154f295 Mon Sep 17 00:00:00 2001 From: Drew Lewis Date: Wed, 29 Apr 2026 15:31:51 +0000 Subject: [PATCH 6/8] Chapter 5 --- source/linear-algebra/source/05-GT/main.ptx | 14 ++++++++++++++ .../linear-algebra/source/05-GT/outcomes/main.ptx | 1 - 2 files changed, 14 insertions(+), 1 deletion(-) diff --git a/source/linear-algebra/source/05-GT/main.ptx b/source/linear-algebra/source/05-GT/main.ptx index ae61c984d..6ba8b977b 100644 --- a/source/linear-algebra/source/05-GT/main.ptx +++ b/source/linear-algebra/source/05-GT/main.ptx @@ -2,6 +2,20 @@ Geometric Properties of Linear Maps (GT) Geometric Properties of Linear Maps + +

+ 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 determinants and eigenvectors 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). +

+ + Motivating Question + + + diff --git a/source/linear-algebra/source/05-GT/outcomes/main.ptx b/source/linear-algebra/source/05-GT/outcomes/main.ptx index 26af63627..7ae8acae6 100644 --- a/source/linear-algebra/source/05-GT/outcomes/main.ptx +++ b/source/linear-algebra/source/05-GT/outcomes/main.ptx @@ -1,7 +1,6 @@ > -

By the end of this chapter, you should be able to...

From 7b85b3fa173c243425ffbff5f8ed92a79eeb5cb8 Mon Sep 17 00:00:00 2001 From: Drew Lewis Date: Wed, 29 Apr 2026 15:32:05 +0000 Subject: [PATCH 7/8] Chapter 6 --- source/linear-algebra/source/future-ON/main.ptx | 7 +++++++ source/linear-algebra/source/future-ON/outcomes/main.ptx | 1 - 2 files changed, 7 insertions(+), 1 deletion(-) diff --git a/source/linear-algebra/source/future-ON/main.ptx b/source/linear-algebra/source/future-ON/main.ptx index 1b285e228..432602cfb 100644 --- a/source/linear-algebra/source/future-ON/main.ptx +++ b/source/linear-algebra/source/future-ON/main.ptx @@ -1,6 +1,13 @@ Orthogonal and Orthonormal Vectors (ON - Coming Soon!) +

TODO: Add introductory text

+ + + Motivating Question + + + diff --git a/source/linear-algebra/source/future-ON/outcomes/main.ptx b/source/linear-algebra/source/future-ON/outcomes/main.ptx index a10c1c771..997c5fd0e 100644 --- a/source/linear-algebra/source/future-ON/outcomes/main.ptx +++ b/source/linear-algebra/source/future-ON/outcomes/main.ptx @@ -1,7 +1,6 @@ > -

By the end of this chapter, you should be able to...

From 12605fb454b2cb5e8ebb0134c545078b495ce5ac Mon Sep 17 00:00:00 2001 From: Drew Lewis Date: Wed, 29 Apr 2026 16:53:15 +0000 Subject: [PATCH 8/8] Style learning outcomes --- xsl/print.xsl | 20 ++++++++++++++++++++ 1 file changed, 20 insertions(+) diff --git a/xsl/print.xsl b/xsl/print.xsl index fa7d31e8a..c7eb9e12f 100644 --- a/xsl/print.xsl +++ b/xsl/print.xsl @@ -49,5 +49,25 @@ fonttitle=\bfseries, + + + size=normal, colback=white, colbacktitle=white, coltitle=black, colframe=black, rounded corners, center title, fonttitle=\blocktitlefont\bfseries, blockspacingstyle, + titlerule=-1pt, + + + + + colframe=black, + colback=white, + coltitle=black, + colbacktitle=white, + fonttitle=\bfseries, + halign title=flush center, + + boxrule=-1pt, + titlerule=2pt, + + + \ No newline at end of file