Join Peggy Fisher for an in-depth discussion in this video Challenge: Model a lunch order, part of Foundations of Programming: Discrete Mathematics.
- [Voiceover] Okay.…This is our last programming challenge in this section.…In this challenge, I'm gonna use SML,…the Standard Machine Language, but you're welcome to use…any functional programming language of your choice.…In this challenge, I want you to create datatypes…that use lists.…This feature of functional programming languages…is very powerful.…In this example, we're going to create datatypes that…contain all the values need to make a sandwich.…This might be helpful if you're working on an application…for a restaurant.…
We'll create datatypes specifically for the types of bread,…types of cheese, types of meat, and types of condiments.…Next, we'll create a datatype called Entree that is a…sandwich made of bread, cheese, one or more meats,…and one or more condiments.…That's where the lists come into play.…Finally, create a variable called Lunch that…contains your order.…If you have any trouble with this challenge,…go back through the videos for this section.…Okay, go give it a try and have fun.…
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
Foundations of Programming: Design Patternswith Elisabeth Robson2h 19m 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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