Website design and development course would typically cover the following topics:

1. Introduction to Web Development: The course would start with an introduction to web development, including the different types of websites, web browsers, and web standards.

2. HTML: The course would cover the basics of HTML, including tags, attributes, and syntax. Students would learn how to create web pages using HTML, and how to structure content using headings, paragraphs, and lists.

3. CSS: The course would cover the basics of CSS, including selectors, properties, and values. Students would learn how to style web pages using CSS, and how to apply styles to different elements on a web page.

4. Responsive Design: The course would cover responsive design techniques, including media queries, flexible grids, and responsive images. Students would learn how to create web pages that adapt to different screen sizes and devices.

5. JavaScript: The course would cover the basics of JavaScript, including variables, functions, and objects. Students would learn how to add interactivity to web pages using JavaScript, and how to manipulate the Document Object Model (DOM) to create dynamic web pages.

6. Web Development Tools: The course would cover popular web development tools, including text editors, version control systems, and browser developer tools. Students would learn how to use these tools to streamline their development workflow and debug their code.

7. Web Hosting and Domain Management: The course would cover the basics of web hosting and domain management, including how to choose a hosting provider, how to set up a domain name, and how to deploy a website to a live server.

8. Content Management Systems (CMS): The course may cover popular CMS platforms such as WordPress, Drupal, or Joomla. Students would learn how to install and customize a CMS, and how to create web pages using pre-built templates and themes.

9. Web Security: The course would cover the basics of web security, including how to protect websites from common threats such as cross-site scripting (XSS) and SQL injection. Students would learn how to secure their websites using encryption, authentication, and access control techniques.

In addition to the theoretical concepts, the course would also include practical exercises and projects to help students apply the concepts learned in class. Students may work on real-world web development projects, such as creating a portfolio website or building an e-commerce site.