Algebra lecture notes or textbooks

Nathan Carter’s Visual Group Theory textbook PDF (free access with UConn login) and errata

Judson online textbook including Sage exercises in English and Spanish

Interactive online course on transformations and symmetry

Wikiversity Intro to group theory

Dana Ernst’s open-source inquiry based Abstract Algebra

Keith Conrad’s expository papers (many are on algebra)

Algebra lecture videos and podcasts

Matt Macauley’s Algebra class at Clemson (with commercial-free lecture videos recorded in 2010)

Podcasts which go along with the chapters in Visual Group Theory textbook

Writing proofs

Advice on Mathematica Writing by Keith Conrad

Some Guidelines for Good Mathematical Writing by Francis Su

Examples of proofs by induction by K. Conrad

Articles about groups

Group Think by Steven Strogatz

Software resources:

Drawing Figures with LaTeX

A simple visual editor for writing diagrams and converting it to Tikz github.com/yishn/tikzcd-editor, try it out at https://tikzcd.yichuanshen.de

Misc Algebra resources

Joseph Gallian’s website containing many resources related to his textbook

Jobs requiring math skills

Math students, connect with prospective employers here: MAA Career Resource Center

Miscellaneous

Use CamScanner app or another scan app to scan your hand-written homework into PDF.

Writing about math

Living Proof Stories of Resilience Along the Mathematical Journey, edited by Allison K. Henrich, Emille D. Lawrence, Matthew A. Pons, and David G. Taylor