diff --git a/project.ptx b/project.ptx index 7c8304883..ef83f2b81 100644 --- a/project.ptx +++ b/project.ptx @@ -142,6 +142,15 @@ output-filename="TBIL-Linear-Algebra-Slides.pdf" > + + + + diff --git a/publication/instructor.ptx b/publication/instructor.ptx index 5b7b12122..3fff61ff0 100644 --- a/publication/instructor.ptx +++ b/publication/instructor.ptx @@ -35,7 +35,7 @@ - + diff --git a/publication/preview.ptx b/publication/preview.ptx index 635ebba89..aab29c134 100644 --- a/publication/preview.ptx +++ b/publication/preview.ptx @@ -35,7 +35,7 @@ - + diff --git a/publication/publication-619.ptx b/publication/publication-619.ptx new file mode 100644 index 000000000..c3a29e927 --- /dev/null +++ b/publication/publication-619.ptx @@ -0,0 +1,127 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + papersize={7in,10in},margin=1in + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/publication/publication.ptx b/publication/publication.ptx index df4ae293b..1cdfc6402 100644 --- a/publication/publication.ptx +++ b/publication/publication.ptx @@ -35,7 +35,7 @@ - + diff --git a/source/common/authors/lewis.ptx b/source/common/authors/lewis.ptx index 86cd5eaff..e370f9ec0 100644 --- a/source/common/authors/lewis.ptx +++ b/source/common/authors/lewis.ptx @@ -1,5 +1,6 @@ Drew Lewis + Center for Grading Reform drew.lewis@gmail.com diff --git a/source/linear-algebra/source/01-LE/01.ptx b/source/linear-algebra/source/01-LE/01.ptx index 364992f41..c7303160e 100644 --- a/source/linear-algebra/source/01-LE/01.ptx +++ b/source/linear-algebra/source/01-LE/01.ptx @@ -1016,7 +1016,7 @@ Augmented matrix:
  • For a,b, \in \mathbb{R}, a \sim b if an only if |a|=|b|.

    • - + Sample Problem and Solution

    Sample problem . diff --git a/source/linear-algebra/source/01-LE/02.ptx b/source/linear-algebra/source/01-LE/02.ptx index c003daa65..1d30721de 100644 --- a/source/linear-algebra/source/01-LE/02.ptx +++ b/source/linear-algebra/source/01-LE/02.ptx @@ -944,7 +944,7 @@ rref(A) - + Sample Problem and Solution

    Sample problem . diff --git a/source/linear-algebra/source/01-LE/03.ptx b/source/linear-algebra/source/01-LE/03.ptx index 81a1a10ff..d45a5994a 100644 --- a/source/linear-algebra/source/01-LE/03.ptx +++ b/source/linear-algebra/source/01-LE/03.ptx @@ -474,7 +474,7 @@ different solutions. We'll learn how to find such solution sets in - + Sample Problem and Solution

    Sample problem . diff --git a/source/linear-algebra/source/01-LE/04.ptx b/source/linear-algebra/source/01-LE/04.ptx index d929411d3..29b55da3b 100644 --- a/source/linear-algebra/source/01-LE/04.ptx +++ b/source/linear-algebra/source/01-LE/04.ptx @@ -437,7 +437,7 @@ Explain how to describe this solution set using set notation.

  • Suppose that a linear system has five equations and three unknowns and that the coefficient matrix has a pivot in every column. Then the linear system is consistent and has a unique solution.

    •  - + Sample Problem and Solution

    Sample problem . diff --git a/source/linear-algebra/source/02-EV/01.ptx b/source/linear-algebra/source/02-EV/01.ptx index f470533c1..c240b70a2 100644 --- a/source/linear-algebra/source/02-EV/01.ptx +++ b/source/linear-algebra/source/02-EV/01.ptx @@ -579,7 +579,7 @@ We can do this in a few parts. I've used bullets here to indicate all that needs - + Sample Problem and Solution

    Sample problem . diff --git a/source/linear-algebra/source/02-EV/02.ptx b/source/linear-algebra/source/02-EV/02.ptx index 09eb13de3..577232127 100644 --- a/source/linear-algebra/source/02-EV/02.ptx +++ b/source/linear-algebra/source/02-EV/02.ptx @@ -556,7 +556,7 @@ Given no additional information about the vectors \vec{v}_1,\dots, \vec{v}_m<

    - + Sample Problem and Solution

    Sample problem . diff --git a/source/linear-algebra/source/02-EV/03.ptx b/source/linear-algebra/source/02-EV/03.ptx index dc45ca331..1b1eee84c 100644 --- a/source/linear-algebra/source/02-EV/03.ptx +++ b/source/linear-algebra/source/02-EV/03.ptx @@ -1113,7 +1113,7 @@ Is it possible that there is a subset of V containing fewer vectors than

    - + Sample Problem and Solution

    Sample problem . diff --git a/source/linear-algebra/source/02-EV/04.ptx b/source/linear-algebra/source/02-EV/04.ptx index c38203bf3..685c47e8e 100644 --- a/source/linear-algebra/source/02-EV/04.ptx +++ b/source/linear-algebra/source/02-EV/04.ptx @@ -651,7 +651,7 @@ vectors that can form a linearly independent set? - + Sample Problem and Solution

    Sample problem . diff --git a/source/linear-algebra/source/02-EV/05.ptx b/source/linear-algebra/source/02-EV/05.ptx index 8604e89d3..260837832 100644 --- a/source/linear-algebra/source/02-EV/05.ptx +++ b/source/linear-algebra/source/02-EV/05.ptx @@ -599,7 +599,7 @@ Must a basis for the space P_2, the space of all quadratic polynomials, c - + Sample Problem and Solution

    Sample problem . diff --git a/source/linear-algebra/source/02-EV/06.ptx b/source/linear-algebra/source/02-EV/06.ptx index 9a9c2d06d..fc05bc22d 100644 --- a/source/linear-algebra/source/02-EV/06.ptx +++ b/source/linear-algebra/source/02-EV/06.ptx @@ -477,7 +477,7 @@ Thus the basis for a subspace is not unique in general.

    - + Sample Problem and Solution

    Sample problem . diff --git a/source/linear-algebra/source/02-EV/07.ptx b/source/linear-algebra/source/02-EV/07.ptx index b88e7d610..285498abe 100644 --- a/source/linear-algebra/source/02-EV/07.ptx +++ b/source/linear-algebra/source/02-EV/07.ptx @@ -457,7 +457,7 @@ Prove that, for any column vector \vec{b} = \left[\begin{array}{c}b_1\\b_2\\

    - + Sample Problem and Solution

    Sample problem . diff --git a/source/linear-algebra/source/03-AT/01.ptx b/source/linear-algebra/source/03-AT/01.ptx index 90eaf54e9..e913c45c4 100644 --- a/source/linear-algebra/source/03-AT/01.ptx +++ b/source/linear-algebra/source/03-AT/01.ptx @@ -787,7 +787,7 @@ and T(cf(x))=cT(f(x)). - + Sample Problem and Solution

    Sample problem . diff --git a/source/linear-algebra/source/03-AT/02.ptx b/source/linear-algebra/source/03-AT/02.ptx index ff6671ac5..4f56f82d3 100644 --- a/source/linear-algebra/source/03-AT/02.ptx +++ b/source/linear-algebra/source/03-AT/02.ptx @@ -582,7 +582,7 @@ Prove that each transformation is linear, and that your matrix representations a

    - + Sample Problem and Solution

    Sample problem . diff --git a/source/linear-algebra/source/03-AT/03.ptx b/source/linear-algebra/source/03-AT/03.ptx index 214afe9e1..60906169f 100644 --- a/source/linear-algebra/source/03-AT/03.ptx +++ b/source/linear-algebra/source/03-AT/03.ptx @@ -816,7 +816,7 @@ Let \{\vec{v_1},\vec{v_2},\ldots,\vec{v_n}\} be a set of vectors in V<

    - + Sample Problem and Solution

    Sample problem . diff --git a/source/linear-algebra/source/03-AT/04.ptx b/source/linear-algebra/source/03-AT/04.ptx index 356e3d983..a8edb63c9 100644 --- a/source/linear-algebra/source/03-AT/04.ptx +++ b/source/linear-algebra/source/03-AT/04.ptx @@ -1117,7 +1117,7 @@ Prove that V is isomorphic toV^*. Here are some things to think ab

    - + Sample Problem and Solution

    Sample problem . diff --git a/source/linear-algebra/source/03-AT/05.ptx b/source/linear-algebra/source/03-AT/05.ptx index a6c5f85e9..7b1eebae7 100644 --- a/source/linear-algebra/source/03-AT/05.ptx +++ b/source/linear-algebra/source/03-AT/05.ptx @@ -738,7 +738,7 @@ for all c\in \IR,\, (x_1,y_1),(x_2,y_2) \in V.

    Consider the vector space of polynomials, \P_n. Suppose further that n= ab, where a \mbox{ and } b are each positive integers. Conjecture a relationship between M_{a,b} and \P_n. We will investigate this further in section

    - + Sample Problem and Solution

    Sample problem . diff --git a/source/linear-algebra/source/03-AT/06.ptx b/source/linear-algebra/source/03-AT/06.ptx index 3489fbcb6..1ee622b14 100644 --- a/source/linear-algebra/source/03-AT/06.ptx +++ b/source/linear-algebra/source/03-AT/06.ptx @@ -584,7 +584,7 @@ If you are given the values of a,b, and c, what value of d - + Sample Problem and Solution

    Sample problem . diff --git a/source/linear-algebra/source/04-MX/01.ptx b/source/linear-algebra/source/04-MX/01.ptx index 1a410101e..bb0e40aae 100644 --- a/source/linear-algebra/source/04-MX/01.ptx +++ b/source/linear-algebra/source/04-MX/01.ptx @@ -392,7 +392,7 @@ Use the included map in this problem. - + Sample Problem and Solution

    Sample problem . diff --git a/source/linear-algebra/source/04-MX/02.ptx b/source/linear-algebra/source/04-MX/02.ptx index b7a08c652..224928860 100644 --- a/source/linear-algebra/source/04-MX/02.ptx +++ b/source/linear-algebra/source/04-MX/02.ptx @@ -545,7 +545,7 @@ Is the matrix \left[\begin{array}{ccc} 2 & 3 & 1 \\ -1 & -4 & - + Sample Problem and Solution

    Sample problem . diff --git a/source/linear-algebra/source/04-MX/03.ptx b/source/linear-algebra/source/04-MX/03.ptx index e1547f6f1..cc97250aa 100644 --- a/source/linear-algebra/source/04-MX/03.ptx +++ b/source/linear-algebra/source/04-MX/03.ptx @@ -274,7 +274,7 @@ Video coming soon to - + Sample Problem and Solution

    Sample problem . diff --git a/source/linear-algebra/source/04-MX/04.ptx b/source/linear-algebra/source/04-MX/04.ptx index d1b2d5dda..ebb0dcfb1 100644 --- a/source/linear-algebra/source/04-MX/04.ptx +++ b/source/linear-algebra/source/04-MX/04.ptx @@ -402,7 +402,7 @@ If you and a teammate were to do this independently, would you necessarily come

    - + Sample Problem and Solution

    Sample problem . diff --git a/source/linear-algebra/source/05-GT/01.ptx b/source/linear-algebra/source/05-GT/01.ptx index 495724031..6b8d2bf38 100644 --- a/source/linear-algebra/source/05-GT/01.ptx +++ b/source/linear-algebra/source/05-GT/01.ptx @@ -1141,7 +1141,7 @@ Or we may use a formula: - + Sample Problem and Solution

    Sample problem . diff --git a/source/linear-algebra/source/05-GT/02.ptx b/source/linear-algebra/source/05-GT/02.ptx index 262436fe5..fec569276 100644 --- a/source/linear-algebra/source/05-GT/02.ptx +++ b/source/linear-algebra/source/05-GT/02.ptx @@ -493,7 +493,7 @@ Based on the previous activities, which technique is easier for computing determ - + Sample Problem and Solution

    Sample problem . diff --git a/source/linear-algebra/source/05-GT/03.ptx b/source/linear-algebra/source/05-GT/03.ptx index d761497ad..7b0c86845 100644 --- a/source/linear-algebra/source/05-GT/03.ptx +++ b/source/linear-algebra/source/05-GT/03.ptx @@ -416,7 +416,7 @@ Set this characteristic polynomial equal to zero and factor to determine the eig - + Sample Problem and Solution

    Sample problem . diff --git a/source/linear-algebra/source/05-GT/04.ptx b/source/linear-algebra/source/05-GT/04.ptx index ed6310d7c..ab7c5a26c 100644 --- a/source/linear-algebra/source/05-GT/04.ptx +++ b/source/linear-algebra/source/05-GT/04.ptx @@ -177,7 +177,7 @@ associated with the eigenvalue 2. - + Sample Problem and Solution

    Sample problem . diff --git a/source/linear-algebra/source/meta/backmatter.ptx b/source/linear-algebra/source/meta/backmatter.ptx index e46e86ed5..8b73c41fc 100644 --- a/source/linear-algebra/source/meta/backmatter.ptx +++ b/source/linear-algebra/source/meta/backmatter.ptx @@ -3,11 +3,8 @@ Back Matter - - Appendix - - - + + Index diff --git a/source/linear-algebra/source/meta/definitions.ptx b/source/linear-algebra/source/meta/definitions.ptx index 3211f6cd0..32dc9a6dd 100644 --- a/source/linear-algebra/source/meta/definitions.ptx +++ b/source/linear-algebra/source/meta/definitions.ptx @@ -1,5 +1,5 @@ -

    + Definitions -
    \ No newline at end of file + \ No newline at end of file diff --git a/source/linear-algebra/source/meta/sample-exercises.ptx b/source/linear-algebra/source/meta/sample-exercises.ptx index 3cda48a8b..3da12f60e 100644 --- a/source/linear-algebra/source/meta/sample-exercises.ptx +++ b/source/linear-algebra/source/meta/sample-exercises.ptx @@ -1,5 +1,5 @@ -
    + Sample Exercises with Solutions

    Here we model one exercise and solution for each learning objective. @@ -38,4 +38,4 @@ for a complete solution. -

    +