Introduction to R Programming
A Modern, Interactive Guide for Livestock Genomics Research
CTLGH Training
2026
Beginner Friendly
Demo Preview
This is a preview showing the first two sections of the R tutorial with enhanced web design and styling.
1 Learning Objectives
📊
R and R Markdown
Understand the basics of R programming and R Markdown for reproducible research
🔢
Algebra in R
Perform mathematical operations and work with variables
📦
Libraries & Packages
Install and load R packages to extend functionality
📁
File Management
Set working directories and organize your project files
📈
Data Visualization
Create publication-quality plots and graphics
💾
Data Export
Write data files and organize reproducible scripts
2 What is R?
About R
R is a free software environment for statistical computing and graphics. One of its key strengths is the ability to create publication-quality plots with minimal effort.
RStudio is a flexible and multi-functional open-source IDE (integrated development environment) that provides a graphical front-end to work with R more efficiently.
Open Source
Free forever, supported by a global community
How R Works
R is used by typing commands into the Console after the
> prompt. Commands can be separated using ;
or by pressing Enter for a new line.
Pro Tip: To run code in R Markdown, click anywhere in the code chunk and then click Run → Run Current Chunk, or use Ctrl + Shift + Enter (Windows) or Cmd + Shift + Return (Mac).
Your First R Command
Try running this code:
"hello world!"
## [1] "hello world!"
# or use the print function
print("hello world!")
## [1] "hello world!"
Learning Note: Like learning any new language, if you encounter errors or aren't sure how to do something, you can search online for help. R has an extensive community with many forums and resources!
Getting Help in R
R has built-in documentation for every function. Here are several
ways to access help:
Using help()
help("print")
Access detailed documentation for any function
Using ?
?print
Quick shortcut to access help pages
# Method 1: Detailed help
help("print")
# Method 2: Quick help
?print
# Method 3: See examples
example("print")
# Method 4: Start HTML help browser
help.start()
Online Resources
Here are essential R resources:
R as a Calculator
R can perform all standard mathematical operations:
# Simple addition
1 + 1
## [1] 2
Try it yourself: Type calculations directly in the R Console at the bottom of RStudio to see instant results!
Key Points
RStudio Interface
Better manage scripts, data, and figures
R Markdown
Combine code and documentation
Reproducible
Share and replicate your analysis
Ready for More?
This is just a preview of Sections 1 & 2. The complete tutorial includes:
Variables & Calculations
Vectors & Matrices
Data Manipulation
Advanced Visualization
---
title: "Introduction to R Programming"
subtitle: "Enhanced Web Version - Demo"
date: "`r Sys.Date()`"
output:
  html_document:
    self_contained: true
    theme: flatly
    toc: true
    toc_float: true
    code_download: true
---

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

```{=html}
<link href="https://cdn.jsdelivr.net/npm/bootstrap@5.3.0/dist/css/bootstrap.min.css" rel="stylesheet">
<link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/6.4.0/css/all.min.css" rel="stylesheet">

<style>
body {
  font-family: 'Segoe UI', Tahoma, Geneva, Verdana, sans-serif;
  background: linear-gradient(to bottom, #f8f9fa 0%, #e9ecef 100%);
  font-size: 20px;
  line-height: 1.9;
}

.hero-section {
  background: linear-gradient(135deg, #667eea 0%, #764ba2 100%);
  color: white;
  padding: 80px 40px;
  text-align: center;
  border-radius: 15px;
  margin: 0 0 50px 0;
  box-shadow: 0 10px 30px rgba(0,0,0,0.2);
}

.hero-section h1 {
  font-size: 3.8rem;
  font-weight: 700;
  margin: 0 0 25px 0;
  color: white;
  text-shadow: 2px 2px 4px rgba(0,0,0,0.3);
}

.hero-section p {
  font-size: 1.8rem;
  margin: 25px 0;
  opacity: 0.95;
}

.badge-custom {
  display: inline-block;
  padding: 12px 24px;
  margin: 10px;
  border-radius: 25px;
  font-size: 1.2rem;
  font-weight: 600;
}

.feature-grid {
  display: grid;
  grid-template-columns: repeat(auto-fit, minmax(320px, 1fr));
  gap: 30px;
  margin: 40px 0;
}

.feature-card {
  background: white;
  padding: 35px;
  border-radius: 14px;
  border-left: 6px solid #667eea;
  box-shadow: 0 5px 10px rgba(0,0,0,0.1);
  transition: all 0.3s ease;
}

.feature-card:hover {
  transform: translateY(-8px);
  box-shadow: 0 12px 24px rgba(0,0,0,0.15);
}

.feature-icon {
  font-size: 3.5rem;
  margin-bottom: 20px;
  display: block;
}

.feature-title {
  font-size: 1.6rem;
  font-weight: 700;
  color: #2c3e50;
  margin-bottom: 15px;
  line-height: 1.4;
}

.feature-desc {
  color: #495057;
  font-size: 1.35rem;
  line-height: 1.8;
}

.info-box {
  padding: 30px;
  border-radius: 14px;
  margin: 35px 0;
  border-left: 6px solid;
  font-size: 1.2rem;
  line-height: 1.9;
}

.info-box h4, .info-box h5 {
  font-size: 1.6rem;
  margin-top: 0;
  margin-bottom: 15px;
}

.info-box p {
  font-size: 1.2rem;
  line-height: 1.9;
  margin-bottom: 15px;
}

.info-box-blue {
  background: #e7f3ff;
  border-color: #0ea5e9;
  color: #075985;
}

.info-box-green {
  background: #f0fdf4;
  border-color: #10b981;
  color: #065f46;
}

.info-box-yellow {
  background: #fffbeb;
  border-color: #f59e0b;
  color: #92400e;
}

.section-number {
  display: inline-block;
  width: 55px;
  height: 55px;
  background: linear-gradient(135deg, #667eea 0%, #764ba2 100%);
  color: white;
  border-radius: 50%;
  text-align: center;
  line-height: 55px;
  font-weight: 700;
  margin-right: 15px;
  font-size: 1.6rem;
}

.resource-card {
  background: white;
  padding: 30px;
  border-radius: 12px;
  margin: 20px 0;
  border-left: 6px solid #667eea;
  box-shadow: 0 4px 8px rgba(0,0,0,0.08);
  transition: all 0.3s ease;
  font-size: 1.2rem;
}

.resource-card:hover {
  transform: translateX(10px);
  box-shadow: 0 6px 15px rgba(0,0,0,0.15);
}

.resource-card h5 {
  font-size: 1.5rem;
  margin-bottom: 12px;
  font-weight: 600;
}

.resource-card p {
  font-size: 1.1rem;
}

.icon-card {
  background: #f8f9fa;
  padding: 35px;
  border-radius: 14px;
  text-align: center;
  margin: 20px 0;
}

.icon-card i {
  font-size: 4rem;
  margin-bottom: 20px;
}

.icon-card h5 {
  font-size: 1.5rem;
  font-weight: 600;
  margin-bottom: 10px;
}

.icon-card p {
  font-size: 1.15rem;
  line-height: 1.7;
}

pre {
  background: #f8f9fa;
  border: 1px solid #dee2e6;
  border-radius: 10px;
  padding: 25px;
  margin: 30px 0;
  font-size: 1.1rem;
  line-height: 1.8;
}

code {
  background: #f1f3f5;
  padding: 4px 10px;
  border-radius: 5px;
  font-family: 'Courier New', monospace;
  color: #d63384;
  font-size: 1.1rem;
}

pre code {
  font-size: 1.05rem;
}

h1 {
  font-size: 3.2rem;
  color: #2c3e50;
  border-bottom: 4px solid #667eea;
  padding-bottom: 15px;
  margin-top: 50px;
  margin-bottom: 30px;
  line-height: 1.3;
}

h2 {
  font-size: 2.6rem;
  color: #2c3e50;
  border-bottom: 3px solid #667eea;
  padding-bottom: 15px;
  margin-top: 50px;
  margin-bottom: 30px;
  line-height: 1.3;
}

h3 {
  font-size: 2rem;
  color: #764ba2;
  margin-top: 40px;
  margin-bottom: 20px;
  line-height: 1.4;
}

h4 {
  font-size: 1.6rem;
  font-weight: 600;
  margin-bottom: 15px;
}

p {
  font-size: 1.2rem;
  line-height: 1.9;
  margin-bottom: 20px;
}

li {
  font-size: 1.2rem;
  line-height: 1.9;
  margin-bottom: 12px;
}

a {
  font-size: 1.15rem;
  font-weight: 500;
}

kbd {
  background: #2c3e50;
  color: white;
  padding: 5px 10px;
  border-radius: 5px;
  font-size: 1.05rem;
}

small {
  font-size: 1rem;
}

.final-cta {
  background: linear-gradient(135deg, #667eea 0%, #764ba2 100%);
  color: white;
  padding: 50px;
  border-radius: 15px;
  text-align: center;
  margin: 50px 0;
}

.final-cta h4 {
  color: white;
  font-size: 2.2rem;
  margin-bottom: 20px;
}

.final-cta p {
  font-size: 1.3rem;
  margin-bottom: 20px;
}

.final-cta div div {
  font-size: 1.2rem;
}
</style>

<div class="hero-section">
  <h1><i class="fas fa-code"></i> Introduction to R Programming</h1>
  <p>A Modern, Interactive Guide for Livestock Genomics Research</p>
  <div style="margin-top: 25px;">
    <span class="badge-custom" style="background: #dbeafe; color: #1e40af;"><i class="fas fa-users"></i> CTLGH Training</span>
    <span class="badge-custom" style="background: #d1fae5; color: #065f46;"><i class="fas fa-calendar"></i> 2026</span>
    <span class="badge-custom" style="background: #fef3c7; color: #92400e;"><i class="fas fa-clock"></i> Beginner Friendly</span>
  </div>
</div>

<div class="info-box info-box-blue">
<h4><i class="fas fa-info-circle"></i> Demo Preview</h4>
<p>This is a preview showing the first two sections of the R tutorial with enhanced web design and styling.</p>
</div>
```

---

# <span class="section-number">1</span> Learning Objectives

```{=html}
<div class="feature-grid">

<div class="feature-card">
<span class="feature-icon">📊</span>
<div class="feature-title">R and R Markdown</div>
<div class="feature-desc">Understand the basics of R programming and R Markdown for reproducible research</div>
</div>

<div class="feature-card">
<span class="feature-icon">🔢</span>
<div class="feature-title">Algebra in R</div>
<div class="feature-desc">Perform mathematical operations and work with variables</div>
</div>

<div class="feature-card">
<span class="feature-icon">📦</span>
<div class="feature-title">Libraries & Packages</div>
<div class="feature-desc">Install and load R packages to extend functionality</div>
</div>

<div class="feature-card">
<span class="feature-icon">📁</span>
<div class="feature-title">File Management</div>
<div class="feature-desc">Set working directories and organize your project files</div>
</div>

<div class="feature-card">
<span class="feature-icon">📈</span>
<div class="feature-title">Data Visualization</div>
<div class="feature-desc">Create publication-quality plots and graphics</div>
</div>

<div class="feature-card">
<span class="feature-icon">💾</span>
<div class="feature-title">Data Export</div>
<div class="feature-desc">Write data files and organize reproducible scripts</div>
</div>

</div>
```

---

# <span class="section-number">2</span> What is R?

```{=html}
<div style="display: grid; grid-template-columns: 2fr 1fr; gap: 20px; margin: 30px 0;">

<div class="info-box info-box-green">
<h5><i class="fas fa-check-circle"></i> About R</h5>
<p><strong>R</strong> is a free software environment for statistical computing and graphics. One of its key strengths is the ability to create publication-quality plots with minimal effort.</p>
<p><strong>RStudio</strong> is a flexible and multi-functional open-source IDE (integrated development environment) that provides a graphical front-end to work with R more efficiently.</p>
</div>

<div class="icon-card">
<i class="fab fa-r-project" style="color: #667eea;"></i>
<h5>Open Source</h5>
<p style="color: #6c757d; font-size: 1.05rem;">Free forever, supported by a global community</p>
</div>

</div>
```

## How R Works

R is used by typing commands into the Console after the `>` prompt. Commands can be separated using `;` or by pressing Enter for a new line.

```{=html}
<div class="info-box info-box-yellow">
<i class="fas fa-lightbulb"></i> <strong>Pro Tip:</strong> To run code in R Markdown, click anywhere in the code chunk and then click <strong>Run → Run Current Chunk</strong>, or use <kbd>Ctrl</kbd> + <kbd>Shift</kbd> + <kbd>Enter</kbd> (Windows) or <kbd>Cmd</kbd> + <kbd>Shift</kbd> + <kbd>Return</kbd> (Mac).
</div>
```

### Your First R Command

Try running this code:

```{r hello-world}
"hello world!"

# or use the print function
print("hello world!")
```

```{=html}
<div class="info-box info-box-blue">
<i class="fas fa-graduation-cap"></i> <strong>Learning Note:</strong> Like learning any new language, if you encounter errors or aren't sure how to do something, you can search online for help. R has an extensive community with many forums and resources!
</div>
```

---

## <i class="fas fa-question-circle"></i> Getting Help in R

R has built-in documentation for every function. Here are several ways to access help:

```{=html}
<div style="display: grid; grid-template-columns: 1fr 1fr; gap: 20px; margin: 25px 0;">

<div class="resource-card">
<h5><i class="fas fa-book" style="color: #667eea;"></i> Using help()</h5>
<pre style="margin: 10px 0;"><code>help("print")</code></pre>
<p style="color: #6c757d; margin: 0;">Access detailed documentation for any function</p>
</div>

<div class="resource-card">
<h5><i class="fas fa-search" style="color: #667eea;"></i> Using ?</h5>
<pre style="margin: 10px 0;"><code>?print</code></pre>
<p style="color: #6c757d; margin: 0;">Quick shortcut to access help pages</p>
</div>

</div>
```

```{r help-commands, eval=FALSE}
# Method 1: Detailed help
help("print")

# Method 2: Quick help
?print

# Method 3: See examples
example("print")

# Method 4: Start HTML help browser
help.start()
```

### <i class="fas fa-globe"></i> Online Resources

Here are essential R resources:

```{=html}
<div style="display: grid; grid-template-columns: 1fr 1fr; gap: 15px;">

<div class="resource-card">
<i class="fas fa-file-alt" style="color: #667eea;"></i> <strong>R Documentation</strong><br>
<small style="color: #6c757d;">Comprehensive documentation on R tools and packages</small><br>
<a href="https://www.rdocumentation.org/" target="_blank">rdocumentation.org →</a>
</div>

<div class="resource-card">
<i class="fab fa-stack-overflow" style="color: #667eea;"></i> <strong>Stack Overflow</strong><br>
<small style="color: #6c757d;">Q&A community for programming challenges</small><br>
<a href="https://stackoverflow.com/questions" target="_blank">stackoverflow.com →</a>
</div>

<div class="resource-card">
<i class="fas fa-file-pdf" style="color: #667eea;"></i> <strong>RStudio Cheatsheets</strong><br>
<small style="color: #6c757d;">Quick reference guides for common tasks</small><br>
<a href="https://rstudio.github.io/cheatsheets/html/rstudio-ide.html" target="_blank">rstudio.github.io →</a>
</div>

<div class="resource-card">
<i class="fas fa-layer-group" style="color: #667eea;"></i> <strong>Tidyverse</strong><br>
<small style="color: #6c757d;">Collection of modern R packages for data science</small><br>
<a href="https://www.tidyverse.org/" target="_blank">tidyverse.org →</a>
</div>

</div>
```

---

## <i class="fas fa-calculator"></i> R as a Calculator

R can perform all standard mathematical operations:

```{r calculator}
# Simple addition
1 + 1
```

```{=html}
<div class="info-box info-box-blue">
<i class="fas fa-terminal"></i> <strong>Try it yourself:</strong> Type calculations directly in the R Console at the bottom of RStudio to see instant results!
</div>
```

### Key Points

```{=html}
<div style="display: grid; grid-template-columns: repeat(3, 1fr); gap: 20px; margin: 30px 0;">

<div class="icon-card">
<i class="fas fa-laptop-code" style="color: #667eea;"></i>
<p style="margin: 10px 0 0 0;"><strong>RStudio Interface</strong><br><small style="color: #6c757d;">Better manage scripts, data, and figures</small></p>
</div>

<div class="icon-card">
<i class="fas fa-file-code" style="color: #10b981;"></i>
<p style="margin: 10px 0 0 0;"><strong>R Markdown</strong><br><small style="color: #6c757d;">Combine code and documentation</small></p>
</div>

<div class="icon-card">
<i class="fas fa-sync-alt" style="color: #f59e0b;"></i>
<p style="margin: 10px 0 0 0;"><strong>Reproducible</strong><br><small style="color: #6c757d;">Share and replicate your analysis</small></p>
</div>

</div>
```

---

```{=html}
<div class="final-cta">
<h4><i class="fas fa-rocket"></i> Ready for More?</h4>
<p style="font-size: 1.15rem;">This is just a preview of Sections 1 & 2. The complete tutorial includes:</p>
<div style="display: grid; grid-template-columns: repeat(4, 1fr); gap: 15px; margin: 20px 0; font-size: 1.05rem;">
<div><i class="fas fa-check"></i> Variables & Calculations</div>
<div><i class="fas fa-check"></i> Vectors & Matrices</div>
<div><i class="fas fa-check"></i> Data Manipulation</div>
<div><i class="fas fa-check"></i> Advanced Visualization</div>
</div>
</div>

<script src="https://cdn.jsdelivr.net/npm/bootstrap@5.3.0/dist/js/bootstrap.bundle.min.js"></script>
```
