---
marp: true
theme: graph_paper
paginate: true

title: Day 31 - Help Session
description: Slides for PHY 321 Spring 2026, Day 31: Help Session
author: Prof. Danny Caballero <caball14@msu.edu>
keywords: classical mechanics, differential equations, motion, oscillations, resonance
url: https://dannycaballero.info/phy321msu/slides/day-31-help-session.html
---

<style>
  :root {
    --color-spartan-green: #18453B;
    --color-msu-gold: #C1B000;
    --color-light-gray: #f5f5f5;
    --color-dark-text: #1a1a1a;
    --color-accent-green: #2d5f4f;
  }
  
  body {
    font-family: 'Segoe UI', Tahoma, Geneva, Verdana, sans-serif;
    background-color: #ffffff;
    color: var(--color-dark-text);
  }
  
  h1, h2, h3 {
    color: var(--color-spartan-green);
    font-weight: 500;
  }
  
  h1 {
    font-size: 2.2rem;
    margin-bottom: 0rem;
  }
  
  h2 {
    font-size: 1.55rem;
    margin-bottom: 1.0rem;
    border-bottom: 4px solid var(--color-spartan-green);
    padding-bottom: 0.5rem;
  }
  
  h3 {
    font-size: 1.15rem;
    margin-top: 1rem;
    margin-bottom: 0.75rem;
  }
  
  section {
    padding: 2rem;
    background-color: #ffffff;
    display: flex;
    flex-direction: column;
    justify-content: flex-start;
  }

  .equation {
    background-color: var(--color-light-gray);
    padding: 1.5rem;
    border-left: 4px solid var(--color-msu-gold);
    margin: 1.5rem 0;
    font-size: 1.3rem;
    text-align: center;
    color: var(--color-dark-text);
  }

  p {
    font-size: 1.15rem;
    line-height: 1.4;
    margin-bottom: 0.5rem;
  }
  
  ul, ol {
    font-size: 1.15rem;
    line-height: 1.4;
    margin-left: 0.5rem;
  }

  ul ul, ol ol, ul ol, ol ul {
    margin-left: 0.1rem;
  }
  
  li {
    margin-bottom: 0rem;
    line-height: 1.4;
  }
  
  strong {
    color: var(--color-spartan-green);
    font-weight: 600;
  }
  
  em {
    color: var(--color-accent-green);
  }

  .highlight {
    background-color: var(--color-light-gray);
    padding: 1.5rem;
    border-left: 4px solid var(--color-spartan-green);
    margin: 1.5rem 0;
  }

  .activity {
    background-color: #fff8e1;
    border: 2px solid var(--color-msu-gold);
    padding: 1.25rem;
    border-radius: 6px;
    margin: 1rem 0;
  }

  code {
    background-color: var(--color-light-gray);
    padding: 0.2rem 0.4rem;
    border-radius: 4px;
    font-size: 1.0rem;
  }

  .footnote {
    font-size: 0.8rem;
    color: #999;
    margin-top: 1.5rem;
    border-top: 1px solid #ddd;
    padding-top: 0.75rem;
  }
</style>

<!--
_class: title
_backgroundColor: #ffffff
_color: #18453B
-->

# Day 31 - Midterm Help Session

![bg right width:600px](../images/notes/week11/zqdnteh0i9zf1.jpeg)

---

## Announcements

### On Monday 
* Homework 8 (Lagrangian Mech) will be posted (Last HW; due April 17th)
    * "late HW 8" will be accepted until April 24th
* Final Project Instructions and Rubric will be posted

### Rest of Semester
* CW15 - Intro to Lagrangian Dynamics
* CW16 - Examples of Lagrangian Dynamics
* CW17 - Project Prep (No Class Meetings) - *DC out of country*

---

## Announcements

### CW17 - Last week of Classes
* Normally, we would use class time for project work, check-ins, help, and guidance. However, I will be out of the country for the last week of classes (April 20-24).
* To earn the **extra credit for CW17** (clicker extra credit), you should schedule a project check-in meeting with me during that week
    * *Link to sign up will be posted on Monday.*
    * Please send me a project update in advance of the meeting (can be a few sentences, or a more detailed outline, or a draft of your project report, etc.)