Learn how to use discrete mathematics to become a better programmer. Find out about the role of math in programming, and how to use discrete math to analyze and manipulate data, test logic, and visualize solutions.
- In every programming class, there's always some subset of mathematics involved. Whether it's understanding number conversion or calculating the efficiency of an algorithm in big O notation, math is an integral part of programming, and even every day life. Hello, my name is Peggy Fisher, and I want to welcome you to foundations of programming, discrete mathematics. In this course, I use an open source functional programming language called Standard ML to demonstrate the concepts of discrete mathematics.
I'll explore various ways to manipulate sets of data. Using various mathematical operators, I'll discuss proofs, logical expressions, lists, and other topics to improve code efficiency, saving time and making your code easier to maintain. After I explain each concept, I'll provide you with a challenge, where you can apply your knowledge. I can't wait to share just how much fun math can be.
So grab your calculator, and let's get started on our adventure into discrete mathematics.
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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