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-rw-r--r--tutorials/module_3/numerical_methods.md9
-rw-r--r--tutorials/module_3/supersonic.md2
-rw-r--r--tutorials/module_3/system_of_equations.md11
3 files changed, 17 insertions, 5 deletions
diff --git a/tutorials/module_3/numerical_methods.md b/tutorials/module_3/numerical_methods.md
index 4b3f39a..449ece0 100644
--- a/tutorials/module_3/numerical_methods.md
+++ b/tutorials/module_3/numerical_methods.md
@@ -8,7 +8,7 @@ Numerical methods are techniques that transform mathematical problems into forms
## Numerical Differentiation
Forwards difference
Backwards difference
-
+Central Difference method
[Read More](https://pythonnumericalmethods.studentorg.berkeley.edu/notebooks/chapter20.00-Numerical-Differentiation.html)
## Roots and Optimization
@@ -17,11 +17,16 @@ Bisection
Modified Secant
Newton-Raphson
+## System of Equations
+Guassian Method
+LU Decomposition
## Numerical Integration
+Midpoint
Trapezoidal
-
+Romberg
+Gaussian
Simpson's Rule
[Read More](https://pythonnumericalmethods.studentorg.berkeley.edu/notebooks/chapter21.00-Numerical-Integration.html)
diff --git a/tutorials/module_3/supersonic.md b/tutorials/module_3/supersonic.md
deleted file mode 100644
index 92b3545..0000000
--- a/tutorials/module_3/supersonic.md
+++ /dev/null
@@ -1,2 +0,0 @@
-# Supersonic
-
diff --git a/tutorials/module_3/system_of_equations.md b/tutorials/module_3/system_of_equations.md
index e3ae314..9830060 100644
--- a/tutorials/module_3/system_of_equations.md
+++ b/tutorials/module_3/system_of_equations.md
@@ -1,2 +1,11 @@
-# System of Equations
+# Systems of Equations
+
+
+## Naive Gauss Elimination
+
+## Forward Elimination
+
+## Back Substitution
+
+## LU Decomposition