Join Peggy Fisher for an in-depth discussion in this video Challenge: Learn SML, part of Foundations of Programming: Discrete Mathematics.
- [Voiceover] For this challenge,…we're going to do some programming.…We're going to use SML, Standard Machine Language,…or a similar functional programming language of your choice.…The idea is to use SML to create some new dataypes,…as we saw in this chapter.…Start with a new datatype called "candy,"…which can have the values "chocolate," "caramel,"…"taffy," "gum," and "toffee."…Next, get creative and add some other datatypes…of your choice.…Maybe you want to add a datatype called "fruit."…Or a datatype called "vegetables."…Once you're comfortable with the new datatypes,…I want you to try one of the special functions…available within SML.…
SML provides a special function…to work with sequences of characters or strings.…You'll start with a function called "explode,"…which takes a string as a parameter,…and creates a sequence of characters in a list.…In SML, you type in the word "explode," parenthesis,…double quotes, and your first name.…Double quotes, close parenthesis.…And when you hit Enter,…it will explode it into a list of characters.…
This course relies on an open-source SML (standard machine language) library to demo the concepts behind discrete math. Peggy Fisher shows you how to manipulate sets of data, write proofs and truth tables, analyze data sequences, and visualize data using graph theory. Challenges at the end of every chapter allow you to test your knowledge. By the end of the course, you should be able to make the leap from theory to using discrete math in practice: saving time and resulting in code that's cleaner and easier to maintain in the long run.
- Real-world discrete math
- Objects as sets
- Set notation and operations
- Standard machine language (SML) setup
- Working with data types, strings, and functions in SML
- Analyzing data sequences
- Writing truth tables
- Identifying and evaluating predicates
- Validating arguments
- Writing proofs: subset, conditional, and biconditional proofs
- Visualizing data with graphs
- Advanced discrete math techniques
Skill Level Intermediate
1. Discrete Math Uses
3. Setting Up SML
4. Analyzing Data Sequences
5. Effective Arguments and Defensible Decisions
6. Proofs Made Easy
7. Advanced Discrete Math Topics
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