Join Peggy Fisher for an in-depth discussion in this video Challenge: Write a proof, part of Programming Foundations: Discrete Mathematics.
- [Voiceover] Proofs are a very important aspect…of discreet mathematics.…In this challenge, I have created a worksheet…that has a few examples from the topics in this movie.…There are sample topics for writing set proofs…using the identity laws,…evaluating conditional proofs,…understanding biconditional proofs,…and proofs using mathematical induction.…For this challenge, you will need a pencil and paper…to complete the worksheet provided…in the exercises file.…
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 that this challenge should take…approximately 15 minutes.…
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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