|
1 | | -\documentclass[10pt,handout,twoside]{xourse} |
| 1 | +\documentclass[12pt]{xourse} |
2 | 2 |
|
3 | | -\input{preamble.tex} |
4 | | - |
5 | | -%\pdfOnly{\usepackage{printStyles/lulu1}} |
6 | | - |
7 | | -\logo{ABOUT/BookCover1a.jpg} |
| 3 | +\setcounter{secnumdepth}{6} |
| 4 | +\setcounter{tocdepth}{4} |
8 | 5 |
|
9 | 6 | \title{Linear Algebra: An Interactive Introduction} |
10 | | -\begin{document} |
11 | | -\maketitle |
12 | | - |
13 | | -\setcounter{tocdepth}{2} |
14 | 7 |
|
15 | | -%% Front Matter |
| 8 | +\begin{document} |
16 | 9 |
|
17 | | -\activity{TBLCONT/main.tex} |
| 10 | +\begin{abstract} |
| 11 | +This is a web-based, interactive, introductory linear algebra text. Interactive elements include auto-graded exercises, built-in GeoGebra activities, and Octave code. Topics include vectors and matrices, linear systems, vector spaces (R^n and abstract), linear transformations, eigenvalues, orthogonality, and determinants. Strong emphasis is placed on geometry and visualization. Several applications are included, and links to numerous applications are provided. To access the text, please visit https://sites.google.com/view/lin-alg-interactive-intro/ |
| 12 | +\end{abstract} |
18 | 13 |
|
| 14 | +\maketitle |
19 | 15 |
|
20 | | -%% Preliminaries |
21 | | -\chapterstyle |
22 | | -\activity{XLAChapter_prelim/main.tex} |
23 | | -\sectionstyle |
24 | | -\activity{RRN-0010/main.tex} |
25 | | -\activity{VEC-0010/main.tex} |
26 | | -\activity{VEC-0020/main.tex} |
27 | | -\activity{VEC-0030/main.tex} |
28 | | -\activity{VEC-0035/main.tex} |
29 | | -\activity{VEC-0036/main.tex} |
30 | | -\activity{VEC-0050/main.tex} |
31 | | -\activity{VEC-0060/main.tex} |
32 | | -\activity{VEC-0070/main.tex} |
33 | | -\activity{VEC-0080/main.tex} |
34 | | -\activity{RRN-0020/main.tex} |
35 | | -\activity{RRN-0030/main.tex} |
| 16 | +\part{Introduction to the Concepts of Linear Algebra} |
| 17 | +\activitychapter{SAND-0010/main.tex} |
36 | 18 |
|
37 | 19 | %% Systems of Linear Equations |
38 | | -\chapterstyle |
39 | | -\activity{XLAChapter_systems/main.tex} |
40 | | -\sectionstyle |
41 | | -\activity{SYS-0010/main.tex} |
42 | | -\activity{SYS-0020/main.tex} |
43 | | -\activity{SYS-0030/main.tex} |
44 | | -\activity{SYS-0040/main.tex} |
45 | | -%\activity{SUPX-0020/main.tex} |
| 20 | +\part{Systems of Linear Equations} |
| 21 | +\activitychapter{SYS-0010/main.tex} |
| 22 | +\activitychapter{SYS-0020/main.tex} |
| 23 | +\activitychapter{SYS-0030/main.tex} |
| 24 | +\activitychapter{SYS-0040/main.tex} |
46 | 25 |
|
47 | 26 | %% Big Ideas about vectors |
48 | | -\chapterstyle |
49 | | -\activity{XLAChapter_bigIdeas/main.tex} |
50 | | -\sectionstyle |
51 | | -\activity{VEC-0040/main.tex} |
52 | | -\activity{VEC-0090/main.tex} |
53 | | -\activity{VEC-0100/main.tex} |
54 | | -%\activity{SUPX-0030/main.tex} |
| 27 | +\part{Big Ideas about Vectors} |
| 28 | +\activitychapter{VEC-0040/main.tex} |
| 29 | +\activitychapter{VEC-0090/main.tex} |
| 30 | +\activitychapter{VEC-0100/main.tex} |
| 31 | + |
55 | 32 |
|
56 | 33 | %% Matrices |
57 | | -\chapterstyle |
58 | | -\activity{XLAChapter_matrices/main.tex} |
59 | | -\sectionstyle |
60 | | -\activity{MAT-0010/main.tex} |
61 | | -\activity{MAT-0020/main.tex} |
62 | | -\activity{MAT-0023/main.tex} |
63 | | -\activity{MAT-0025/main.tex} |
64 | | -\activity{MAT-0030/main.tex} |
65 | | -\activity{SYS-0050/main.tex} |
66 | | -\activity{MAT-0050/main.tex} |
67 | | -\activity{MAT-0060/main.tex} |
68 | | -\activity{MAT-0070/main.tex} |
69 | | -%\activity{SUPX-0040/main.tex} |
70 | | -%\activity{VEC-0110/main.tex} |
71 | | -%\activity{SYS-0050/main.tex} |
| 34 | +\part{Matrices} |
| 35 | +\activitychapter{MAT-0010/main.tex} |
| 36 | +\activitychapter{MAT-0020/main.tex} |
| 37 | +\activitychapter{MAT-0023/main.tex} |
| 38 | +\activitychapter{MAT-0025/main.tex} |
| 39 | +\activitychapter{MAT-0030/main.tex} |
| 40 | +\activitychapter{SYS-0050/main.tex} |
| 41 | +\activitychapter{MAT-0050/main.tex} |
| 42 | +\activitychapter{MAT-0060/main.tex} |
| 43 | +\activitychapter{MAT-0070/main.tex} |
72 | 44 |
|
73 | 45 | %% Subsets of Rn |
74 | | -\chapterstyle |
75 | | -\activity{XLAChapter_subspacesRn/main.tex} |
76 | | -\sectionstyle |
77 | | -\activity{VSP-0020/main.tex} |
78 | | -\activity{VSP-0030/main.tex} |
79 | | -\activity{VSP-0035/main.tex} |
80 | | -\activity{VSP-0040/main.tex} |
81 | | -%\activity{SUPX-0050/main.tex} |
82 | | - |
83 | | -%% Linear Transformations |
84 | | -\chapterstyle |
85 | | -\activity{XLAChapter_linTrans/main.tex} |
| 46 | +\part{Subspaces of $\RR^n$} |
| 47 | +\activitychapter{VSP-0020/main.tex} |
| 48 | +\activitychapter{VSP-0030/main.tex} |
| 49 | +\activitychapter{VSP-0035/main.tex} |
| 50 | +\activitychapter{VSP-0040/main.tex} |
86 | 51 |
|
87 | | -\sectionstyle |
88 | | -\activity{LTR-0005/main.tex} |
89 | 52 |
|
90 | | -\activity{LTR-0070/main.tex} |
91 | | - |
92 | | -\activity{LTR-0010/main.tex} |
93 | | -\activity{LTR-0020/main.tex} |
94 | | -\activity{LTR-0030/main.tex} |
95 | | -\activity{LTR-0050/main.tex} |
| 53 | +%% Linear Transformations |
| 54 | +\part{Linear Transformations} |
| 55 | +\activitychapter{LTR-0005/main.tex} |
| 56 | +\activitychapter{LTR-0070/main.tex} |
| 57 | +\activitychapter{LTR-0010/main.tex} |
| 58 | +\activitychapter{LTR-0020/main.tex} |
| 59 | +\activitychapter{LTR-0030/main.tex} |
| 60 | +\activitychapter{LTR-0050/main.tex} |
96 | 61 | %\activity{SUPX-0060/main.tex} |
97 | 62 |
|
98 | 63 |
|
99 | 64 | %% Determinants |
100 | | -\chapterstyle |
101 | | -\activity{XLAChapter_det/main.tex} |
102 | | -\sectionstyle |
103 | | -\activity{DET-0010/main.tex} |
104 | | -\activity{DET-0070/main.tex} |
| 65 | +\part{The Determinant} |
| 66 | +\activitychapter{DET-0010/main.tex} |
| 67 | +\activitychapter{DET-0070/main.tex} |
105 | 68 | %\activity{DET-0020/main.tex} |
106 | | -\activity{DET-0030/main.tex} |
107 | | -\activity{DET-0040/main.tex} |
108 | | -\activity{DET-0050/main.tex} |
109 | | -\activity{DET-0060/main.tex} |
| 69 | +\activitychapter{DET-0030/main.tex} |
| 70 | +\activitychapter{DET-0040/main.tex} |
| 71 | +\activitychapter{DET-0050/main.tex} |
| 72 | +\activitychapter{DET-0060/main.tex} |
110 | 73 | %\activity{SUPX-0070/main.tex} |
111 | 74 |
|
112 | 75 | %% Eigenvalues |
113 | | -\chapterstyle |
114 | | -\activity{XLAChapter_eigenvalues/main.tex} |
115 | | -\sectionstyle |
116 | | -\activity{EIG-0010/main.tex} |
117 | | -\activity{EIG-0020/main.tex} |
118 | | -\activity{EIG-0040/main.tex} |
119 | | -\activity{EIG-0050/main.tex} |
120 | | -\activity{EIG-0080/main.tex} |
121 | | -\activity{EIG-0070/main.tex} |
| 76 | +\part{Eigenvalues} |
| 77 | +\activitychapter{EIG-0010/main.tex} |
| 78 | +\activitychapter{EIG-0020/main.tex} |
| 79 | +\activitychapter{EIG-0045/main.tex} |
| 80 | +\activitychapter{EIG-0055/main.tex} |
| 81 | +\activitychapter{RTH-0032/main.tex} |
| 82 | +\activitychapter{VEC-0073/main.tex} |
| 83 | +\activitychapter{EIG-0080/main.tex} |
| 84 | +\activitychapter{EIG-0070/main.tex} |
122 | 85 | %\activity{SUPX-0080/main.tex} |
123 | 86 |
|
124 | 87 | %% Orthogonality |
125 | | -\chapterstyle |
126 | | -\activity{XLAChapter_orthogonality/main.tex} |
127 | | -\sectionstyle |
128 | | -\activity{RTH-0010/main.tex} |
129 | | -\activity{RTH-0030/main.tex} |
130 | | -\activity{RTH-0015/main.tex} |
131 | | -\activity{RTH-0020/main.tex} |
132 | | -\activity{RTH-0035/main.tex} |
133 | | -\activity{RTH-0045/main.tex} |
134 | | -\activity{RTH-0040/main.tex} |
135 | | -\activity{RTH-0060/main.tex} |
| 88 | +\part{Orthogonality} |
| 89 | +\activitychapter{RTH-0030/main.tex} |
| 90 | +\activitychapter{RTH-0010/main.tex} |
| 91 | +\activitychapter{RTH-0015/main.tex} |
| 92 | +\activitychapter{RTH-0020/main.tex} |
| 93 | +\activitychapter{RTH-0035/main.tex} |
| 94 | +\activitychapter{RTH-0045/main.tex} |
| 95 | +\activitychapter{RTH-0040/main.tex} |
| 96 | +\activitychapter{RTH-0060/main.tex} |
136 | 97 | %\activity{SUPX-0090/main.tex} |
137 | 98 |
|
138 | 99 | %% Abstract Vector Spaces |
139 | | -\chapterstyle |
140 | | -\activity{XLAChapter_vecSpaces/main.tex} |
141 | | -\sectionstyle |
142 | | -\activity{VSP-0050/main.tex} |
143 | | -\activity{VSP-0060/main.tex} |
144 | | -\activity{LTR-0022/main.tex} |
| 100 | +\part{Abstract Vector Spaces} |
| 101 | +\activitychapter{VSP-0050/main.tex} |
| 102 | +\activitychapter{VSP-0060/main.tex} |
| 103 | +\activitychapter{LTR-0022/main.tex} |
145 | 104 | %\activity{LTR-0025/main.tex} |
146 | | -\activity{LTR-0035/main.tex} |
147 | | -\activity{LTR-0060/main.tex} |
148 | | -\activity{LTR-0080/main.tex} |
| 105 | +\activitychapter{LTR-0035/main.tex} |
| 106 | +\activitychapter{LTR-0060/main.tex} |
| 107 | +\activitychapter{LTR-0080/main.tex} |
149 | 108 |
|
150 | 109 | %\activity{SUPX-0100/main.tex} |
151 | 110 |
|
152 | 111 | %% Applications |
153 | | -\chapterstyle |
154 | | -\activity{XLAChapter_applications/main.tex} |
155 | | -\sectionstyle |
156 | | -\activity{APP-0010/main.tex} |
157 | | -\activity{APP-0020/main.tex} |
158 | | -\activity{APP-0030/main.tex} |
159 | | -\activity{APP-0050/main.tex} |
160 | | -\activity{APP-0060/main.tex} |
161 | | -\activity{APP-0070/main.tex} |
162 | | -\activity{APP-0040/main.tex} |
| 112 | +\part{Applications} |
| 113 | +\activitychapter{APP-0010/main.tex} |
| 114 | +\activitychapter{APP-0020/main.tex} |
| 115 | +\activitychapter{APP-0030/main.tex} |
| 116 | +\activitychapter{APP-0050/main.tex} |
| 117 | +\activitychapter{APP-0060/main.tex} |
| 118 | +\activitychapter{APP-0070/main.tex} |
| 119 | +\activitychapter{APP-0040/main.tex} |
163 | 120 |
|
164 | 121 | %% Appendix |
165 | | -\chapterstyle |
166 | | -\activity{XLAChapter_appendix/main.tex} |
167 | | -\sectionstyle |
168 | | -\activity{APX-0010/main.tex} |
169 | | -\activity{APX-0020/main.tex} |
170 | | -\activity{RTH-0050/main.tex} |
171 | | -\activity{VSP-0070/main.tex} |
172 | | - |
173 | | -\begin{onlineOnly} |
174 | | -\activity{INDEX/main.tex} |
175 | | -\activity{APX-0040/main.tex} |
176 | | -\end{onlineOnly} |
| 122 | +\part{Appendix} |
| 123 | +\activitychapter{RRN-0010/main.tex} |
| 124 | +\activitychapter{VEC-0010/main.tex} |
| 125 | +\activitychapter{VEC-0020/main.tex} |
| 126 | +\activitychapter{VEC-0030/main.tex} |
| 127 | +\activitychapter{VEC-0035/main.tex} |
| 128 | +\activitychapter{VEC-0036/main.tex} |
| 129 | +\activitychapter{VEC-0050/main.tex} |
| 130 | +\activitychapter{VEC-0060/main.tex} |
| 131 | +\activitychapter{VEC-0070/main.tex} |
| 132 | +\activitychapter{VEC-0080/main.tex} |
| 133 | +\activitychapter{RRN-0020/main.tex} |
| 134 | +\activitychapter{RRN-0030/main.tex} |
| 135 | +\activitychapter{APX-0010/main.tex} |
| 136 | +\activitychapter{APX-0020/main.tex} |
| 137 | +\activitychapter{RTH-0050/main.tex} |
| 138 | +\activitychapter{VSP-0070/main.tex} |
| 139 | + |
| 140 | +% \begin{onlineOnly} |
| 141 | +% \activity{INDEX/main.tex} |
| 142 | +% \activity{APX-0040/main.tex} |
| 143 | +% \end{onlineOnly} |
177 | 144 |
|
178 | 145 |
|
179 | 146 | \end{document} |
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