Join Peggy Fisher for an in-depth discussion in this video Solution: Model a lunch order, part of Foundations of Programming: Discrete Mathematics.
- [Voiceover] Okay, how did you make out with the challenge?…Were you able to create the datatypes necessary…to be able to create an entree and a lunch order?…I'm going to show you my version of the solution…but remember everybody programs a little differently.…I'm gonna start by creating my data types.…So I'll do datatype for bread.…And the types of bread might include,…I don't know, Rye, Wheat,…plain old white bread,…MultiGrain,…and my favorite, Sourdough.…
Next, I need a list of the types of meats…that might be in the sandwich.…And that might be Ham.…Maybe even some Pepperoni.…Maybe some Salami,…Bologna.…And let's go ahead and add some Turkey.…Okay, now we need the Cheese.…And the types as we offer is American,…Provolone,…Cheddar,…PepperJack,…and Swiss.…
And finally, we need a list of the condiments…that the user can choose from.…Maybe they want Pickles.…They might want Lettuce.…They might want Tomato.…Maybe a Relish,…Onions…and Mustard,…Mayo.…Oops, looks like I have an error somewhere.…So datatype, oh I put datatypes instead of datatype.…
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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