---
title: "ECS {Course} - Homework 0"
author:  John Doe,  \break \{jdoe\} [at] ucdavis [dot] edu # Include your name, and UC Davis email
date: "`r Sys.Date()`"
output:
  pdf_document:
    toc: yes
    toc_depth: 3
---

```{r setup, include=FALSE}
knitr::opts_chunk$set(echo = TRUE)
```

\pagebreak[4]

# Problem 1

Begin writing your solution [^1] to a problem here. If you've used Markdown or LaTeX before, this isn't all that different. Use LaTeX to typeset mathematical equations. LaTeX code is inserted using `$<code>$`

[^1]: Template written by Aakash Prabhu, Class of 2019.

For example: Let $P$ be the probability that I do well in this class. Then, $Q = \bar{P} = 1 - P$ is the probability that I don't do well in this class.


# Problem 2

Sometimes a problem might have multiple parts to it. You can nest into different depths like this:

## 2.1

## 2.2

### 2.2.1

### 2.2.2

Clicking **Knit** will generate a document that includes markdown output as well as output from embedded *R code chunks*. R code chunks are discussed in the next section.

# Problem 3

You will often write out R code, run it, and add it to your homework. Add R code chunks to your R markdown document like this: 

```{r whateverYouWantToNameThis}
for(i in 1:10){
  print(i)
}
```

## 3.1

RMarkdown displays the code, runs it and then outputs it. To display the code and hide its output, use `echo=FALSE`:

```{r anotherCodeChunk, echo=FALSE}
for(i in 1:10){
  print(i)
}
```


## 3.2

If you only want to display the R code but not the output, use `results='hide'`: 

```{r yetAnotherCodeChunk, results='hide'}
for(i in 1:10){
  print(i)
}
```

# Problem 4

To have a code chunk depend on another, use `dependson`: 

```{r oneLastExample, results='hide'}
x = 10
y = 15
```

```{r oneLastExample2, dependson='oneLastExample'}
z = (x + y) * 10
print(z)
```

# Classmate Collaborators

Include the names and email IDs of everyone you collaborated with.

1. Person A, \{personA\} [at] ucdavis [dot] edu
2. Person B, \{personB\} [at] ucdavis [dot] edu