# Chapter 10 - Part 1

This is the content for Friday, March 27, 2026.

## Covered in this lecture

- Optimality Conditions: Motivation, [MediaSpace](https://mediaspace.msu.edu/media/1_vf7jnchv)
- Separation and alternative theorems, [MediaSpace](https://mediaspace.msu.edu/media/1_dsmjug2o)
- KKT conditions, [MediaSpace](https://mediaspace.msu.edu/media/1_8jk466pk)
- Lagrangian function, [MediaSpace](https://mediaspace.msu.edu/media/1_tf8ybawe)

## Todos

### Before class

- Watch videos above.

### In class

- [Slides](Slides/Lec10_1-Slides.md)
- [Worksheet](WS/Lec10_1-WS.md)

### After class

- Upload worksheet to Crowdmark by 5pm.
<!-- - Due today: nothing -->

<!-- Note to self for next time, there is a disconnect between the KKT theorems and the examples we keep giving. Introduce the term "KKT point" (now in lecture 11-1) in a formal definition setting earlier and make sure it includes both inequalities and equalities. I think some of the confusion is that we give theorems with only inequality, then start using equalities right away. -->