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-# Exercise 3: Advanced differentiation, integration and root finding
+# Exercise 4: Optimization techniques on scalar functions
 
-In this exercise you will explore the concepts of numerical integration, differentiation and root finding.
+In this exercise you will explore the concepts of gradient descent, root finding on the gradient and the conjugate gradient method.
 
-In order to do so, you need to create your own project for the exercise 2 (prefixed with your idm username) in the [exercise group](https://gitlab.cs.fau.de/cp1_ws19/exercise) as we did with the [cpp_introduction](https://gitlab.cs.fau.de/cp1_ws19/cpp_introduction) and pulling [the template](https://gitlab.cs.fau.de/cp1_ws19/exercise_3) into it.
+In order to do so, you need to create your own project for the exercise 4 (prefixed with your idm username) in the [exercise group](https://gitlab.cs.fau.de/cp1_ws19/exercise) as we did with the [cpp_introduction](https://gitlab.cs.fau.de/cp1_ws19/cpp_introduction) and pulling [the template](https://gitlab.cs.fau.de/cp1_ws19/exercise_4) into it.
 Please remember to create your own project first, then clone your own project and then pull the template afterwards, before pushing to your own project.
 
 ## Obtaining the instructions
-In the template you will find a directory called `instructions` and in it the source for the instruction sheet `exercise_3.tex`.
+In the template you will find a directory called `instructions` and in it the source for the instruction sheet `exercise_4.tex`.
 Produce the pdf of these instructions using the `pdflatex` command like we did for [exercise 1](https://gitlab.cs.fau.de/cp1_ws19/exercise_1).
 
 ## Proceeding with the exercise