- [Voiceover] At this point, we've seen how to create…our own datatypes of lists, for example, primes.…We've also seen how to perform functions on lists.…This time I want to show you how you can create a datatype…that contains both primitive data and a list.…In this example, we're going to model…the process of making a salad.…When making a salad you first choose…what type of lettuce you want.…Next, you put on a dressing…and then you might have one or more toppings.…
So we will have lettuce, dressing, and a list of toppings.…Let's get started.…First, I'm going to create a datatype called lettuce.…And the possible values for lettuce…are going to be Romaine,…IceBerg, SpringMix,…and Spinach.…Next, I need a datatype…to represent the dressing for the salad.…The dressings might be Italian,…Caesar, Ranch,…French, or BleuCheese.…
Now I need a datatype for my toppings.…The toppings might include, Olives,…Tomatoes, Parmesan,…Cucumbers, Onions,…and for now let's just add Croutons.…There's lot more toppings we could add,…but for now that's enough.…
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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