reference book for methods

diff --git a/methods/polynomials-ref.pdf b/methods/polynomials-ref.pdf
new file mode 100644 (file)
index 0000000..3aaef4e
Binary files /dev/null and b/methods/polynomials-ref.pdf differ

diff --git a/methods/polynomials.md b/methods/polynomials.md
index 847a91c711f30896bdb5844aaafd11d4d071633b..a2fe7b334ce874c55d9618fff171824c2a74f462 100644 (file)
--- a/methods/polynomials.md
+++ b/methods/polynomials.md
@@ -1,3 +1,7 @@
+---
+geometry: margin=1.5cm
+---
+

 # Polynomials
 
 ## Factorising
 # Polynomials
 
 ## Factorising


@@ -59,7 +63,7 @@ Equations with multiple pronumerals. Solutions are expressed in terms of pronume
 - **Infinitely many solutions** - lines are equal
 - **No solution** - lines are parallel
 
 - **Infinitely many solutions** - lines are equal
 - **No solution** - lines are parallel
 

-### Solving $\begin{cases}px + qy = a \\ rx + sy = b\end{cases}$ for one, infinite and no solutions
+### Solving $\protect\begin{cases}px + qy = a \\ rx + sy = b\protect\end{cases}$ for one, infinite and no solutions

 
 where all coefficients are known except for one, and $a, b$ are known
 
 
 where all coefficients are known except for one, and $a, b$ are known
 


@@ -79,9 +83,9 @@ where all coefficients are known except for one, and $a, b$ are known
 
 Or use Matrix -> `det` on CAS.
 
 
 Or use Matrix -> `det` on CAS.
 

-### Solving $\begin{cases}a_1 x + b_1 y + c_1 z = d_1 \\
+### Solving $\protect\begin{cases}a_1 x + b_1 y + c_1 z = d_1 \\

 a_2 x + b_2 y + c_2 z = d_2 \\
 a_2 x + b_2 y + c_2 z = d_2 \\

-a_3 x + b_3 y + c_3 z = d_3\end{cases}$
+a_3 x + b_3 y + c_3 z = d_3\protect\end{cases}$

 
 - Use elimination
 - Generate two new equations with only two variables
 
 - Use elimination
 - Generate two new equations with only two variables

diff --git a/methods/transformations-ref.pdf b/methods/transformations-ref.pdf
new file mode 100644 (file)
index 0000000..bbcf953
Binary files /dev/null and b/methods/transformations-ref.pdf differ