From 0678159d2801c99437e728823dfccccb9d608174 Mon Sep 17 00:00:00 2001
From: Christian Kolset <christian.kolset@gmail.com>
Date: Mon, 29 Sep 2025 08:24:55 -0600
Subject: Added work and newton-raphson example

---
 README.md | 26 ++++++++++++++++++++++++--
 1 file changed, 24 insertions(+), 2 deletions(-)

(limited to 'README.md')

diff --git a/README.md b/README.md
index d85070c..6a610a8 100644
--- a/README.md
+++ b/README.md
@@ -50,8 +50,30 @@ See the tutorials under the /tutorials/ directory or use the links below.
 - Verification and Validation
 - [Error](tutorials/module_2/error.md)
 #### Module 3: Applications of Computational Mathematics in ME
-- Systems of Equations and LU Decomposition
-- Nonlinear Equation Solver
+- Linear Equations
+	- [Linear Equations](1_linear_equations.md)
+	- Linear Algebra
+	- LU Decomposition
+- Non-Linear Equations
+	- Root fining methods
+		- Bracketing Methods 
+		- Open Methods
+	- Systems of Non-linear equations
+	- Systems of Non-linear equations II
+- Numerical differentiation and integration application
+	- Differentiation
+	- Integration 
+	- ODE's
+		- Explicit Methods
+		- Implicit Methods
+		- Systems of ODE's
+	- PDE's
+
+
+
+
+
+
 - [[numerical_differentiation]]
 - [[numerical_integration]]
 - [Ordinary Differential Equations](tutorials/module_3/ode)
-- 
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