Join Peggy Fisher for an in-depth discussion in this video Challenge: Practice with sets, part of Programming Foundations: Discrete Mathematics.
(slicing cymbal burst)…- [Voiceover] OK, are you ready for your first challenge?…In this challenge, I have created a worksheet…that has examples from all the topics in this chapter.…The worksheet includes Set Notation and Operations,…Creating Powersets, Sequences and Summations,…and Recursion.…In the reference folder, there's a document…listing all the Set Identities needed for the challenge.…
I have also created a separate solutions worksheet,…but try to complete the problems first,…and then only review your completed answers…with the solution I have provided.…I estimate this challenge should take approximately…15 minutes so go ahead and give it a try, and good luck.…
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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