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-# Lecture: The indirect simple shooting method
+# Lecture: The indirect simple shooting method - Part I
 
 * Author: Olivier Cots
 * Date: March 2021
 
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-* Next: [Exercice 1](../exercices/ex1_application_simple_shooting.ipynb) -
-[Correction](../corrections/ex1_cor_application_simple_shooting.ipynb)
-
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-
 **_Abstract_**
 
 We present in this notebook the **indirect simple shooting** method based on the [Pontryagin Maximum Principle (PMP)](https://en.wikipedia.org/wiki/Pontryagin%27s_maximum_principle) to solve a smooth optimal control problem. By smooth, we mean that the maximization condition of the PMP gives a control law in feedback form (i.e. with respect to the state and the costate) at least [continuously differentiable](https://en.wikipedia.org/wiki/Smoothness#Differentiability_classes).