Join Peggy Fisher for an in-depth discussion in this video Challenge: Advanced techniques, part of Foundations of Programming: Discrete Mathematics.
- [Voiceover] Are you ready for the…last challenge in this series?…In this challenge, I have once again created a worksheet…that has a few examples from all the topics…in this chapter.…They are using a tree with variable length encoding…to translate a word to binary and vice versa,…calculate the probability of events using set notation,…and encrypting and decrypting a message…using a Caesar cipher.…For this challenge, you will need…a pencil and paper to complete the worksheet…provided in the exercise file.…
I have also created a separate solution worksheet,…but try to complete the problems first…and then, only review your completed answers…with the solution once you are done.…I estimate this challenge should take…approximately 10 minutes.…So, go ahead and give it a try.…This is our last challenge.…
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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