# Chapter 12 - Part 1

This is the content for Friday, April 10, 2026.

## Covered in this lecture

- Motivation, [MediaSpace](https://mediaspace.msu.edu/media/1_8jzx02x7)
- Definition and weak duality, [MediaSpace](https://mediaspace.msu.edu/media/1_74577y1m)
- Weak duality: tight bound example, [MediaSpace](https://mediaspace.msu.edu/media/1_ko7y4twn)
- Weak duality: poor bound example, [MediaSpace](https://mediaspace.msu.edu/media/1_eqgtspgd)
<!-- - Strong duality in the convex case, [MediaSpace](https://mediaspace.msu.edu/media/1_kaar2lsb) -->

## Todos

### Before class

- Watch videos above.

### In class

- [Slides](Slides/Lec12_1-Slides.md)
- [Worksheet](WS/Lec12_1-WS.md)

<!-- - [Slides](Slides/Lec11_1-Slides.md)
- [Worksheet](WS/Lec11_1-WS.md) -->

### After class

- Upload worksheet to Crowdmark by 5pm.
- [Homework 5](../../../homework/HW5/HW5.ipynb) due today at 11:59pm on Crowdmark!
<!-- - Due today: nothing -->