- Cryptography is the science of…encrypting and decrypting information.…You use it every day without realizing it.…Have you sent an email today?…If so, hopefully your message was encrypted by your mail…service provider before it was sent along its way.…The person on the other end receives your message and it's…automatically decrypted for them to view the content.…Messages start out as plain text which can then…be converted to a numeric version of the message.…
Only the receiver knows the key…to decrypt back to meaningful words.…Modern cryptosystems rely on number theory…where the encryption and decryption procedures…are mathematical functions whose input and out are integers.…The Ceasar Cipher is one of…the earliest known and simplest ciphers.…It is a type of substitution cipher in which…each letter in the plain text is shifted…a certain number of places down the alphabet.…
For example, a shift of three letters would move…all the letters down three spaces.…Then, we send a text with these letters.…The receiver decodes the message by taking…
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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