This resource is designed to help you master the Additive and Multiplicative Principles from Weeks 1 and 2 of Discrete Mathematics (MA284). The notes are styled as a tutorial, and promote learning through a process of self-directed examination and assessment. This is done through a set of exercises, which are based on WeBWorK, the system used for online assessment for this module. However, the exercises in this tutorial do not contribute to your continuous assessment score. Instead, they allow you to test your knowledge and skills in Discrete Mathematics. If you find you can do these exercises without difficulty, then you have validated your own learning. If no, then you will know where to focus the efforts.

You can attempt exercises as many times as you like. When you submit your answer, you will be informed it is correct or not. If not, you can re-attempt the question, with new, randomly generated data.

These notes do not contain all the core material on the Additive and Multiplicative Principles. Therefore, before proceeding, please review

• the the lecture notes from those classes, which are available from the MA284 website.
• Section 1.1 of Oscar Levin's Discrete Mathematics: an open introduction.

This tutorial was produced by Niall Madden as part of a project of the module CEL263: Learning Technologies. If you have any comments, please contact Niall.

Some of the exercises and examples here are taken, or adapted, from Discrete Mathematics: an open introduction, with attribution.

This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 International License. To view a copy of this license, visit http://creativecommons.org/licenses/by-sa/4.0/