[spec] start vector calculus

diff --git a/methods/antidiff.md b/methods/antidiff.md
index 05db62a1e8544c7eefcbc56efee72c91c1189cfe..778f31e94535524a4920929d9761595200f87735 100644 (file)
--- a/methods/antidiff.md
+++ b/methods/antidiff.md
@@ -1,3 +1,11 @@
+---
+geometry: margin=2cm
+<!-- columns: 2 -->
+graphics: yes
+tables: yes
+author: Andrew Lorimer
+---
+
 # Antidifferentiation
 
 If $F'(x)=f(x)$, then $\int f(x) \cdot dx = F(x) + c$
@@ -13,4 +21,12 @@ $\int kf(x) \cdot dx = k \int f(x) \cdot dx$, where $k \in \mathbb{R}$
 
 Kinematics - straight line motion of a particle
 
-Instantaneous velocity - dx/dt
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+Instantaneous velocity - dx/dt
+
+## Newton's method
+
+$$x_{n+1}=x_n - {f(x_n) \over f^\prime(x_n)}$$
+
+or
+
+$$x_1=x_0 - {f(x_0) \over f^\prime(x_0)}$$
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