MATH 2101 Abstract Algebra I

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Course Description

This course is an introduction to abstract algebra with applications in cryptography. Topics studied include groups and rings, polynomial arithmetic and the division algorithm, and congruencies.

Prerequisite: Math 1203 Linear Algebra for Scientists and Engineers with a grade of C- or higher.

The content was created by Pamini Thangarajah and her winter 2019 MATH 2101 class under the supervision of Pamini Thangarajah and used in MATH 2101 at Mount Royal University. Updated in winter 2021 & then Fall 2023.

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

References and Suggested readings:

1. Dummit, D. S., & Foote, R. M. (2004). Abstract algebra (Vol. 3). Hoboken: Wiley.

2. Gallian, J. (2021). Contemporary abstract algebra. Chapman and Hall/CRC.

3. Judson, T. W. (2020). Abstract algebra: theory and applications. (http://abstract.ups.edu/aata/aata.html)

4. Nicholson, W. K. (2012). Introduction to abstract algebra. John Wiley & Sons.

5. Paulin, A. (2021). Introduction to Abstract Algebra (Math 113). University of California, Berkeley, available online. (https://math.berkeley.edu/~apaulin/A...actAlgebra.pdf)