- [Voiceover] What you should know. First and foremost, you need to believe that you can succeed in learning the mathematics in this course, and I will do my best to help you on this journey. A good, solid understanding of algebra makes the problems we encounter easier to understand. Like almost all mathematics, algebra provides the fundamental building blocks for success. Here are a few tips to make sure you get the most out of this course. As you are watching the movies, frequently pause the movie and jot down notes on important topics, and even write down some practice problems.
With consistent practice, any type of math can be mastered. You'll also need some paper and a pencil to follow along with some of the problems. Finally, after watching each movie, make sure you do all the exercises I recommend. Practice is crucial.
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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