Description: The course covers fundamental abstract concepts common to all branches of mathematics. Special emphasis is placed on the ability to understand and construct rigorous proofs. This course is specifically intended to help Mathematics majors and minors and other mathematically inclined students prepare for Mth 344, Mth 311, and other upper division courses.
Prerequisites: Mth 253, 261

All the texts for this course are available free online.

The main text is Mathematical Reasoning: Writing and Proof, Version 2.0  by Ted Sundstrom, Grand Valley State University.
ISBN 13: 978-1-4921038-5-1
Available from http://scholarworks.gvsu.edu/books/9/

The following two texts are secondary as I will use only a chapter or two.

Abstract Algebra: Theory and Applications, by Thomas W. Judson, Stephen F. Austin State University
Available from  http://abstract.ups.edu/index.html

Introduction to Mathematical Analysis, by Gerardo Lafferriere, Beatriz Lafferriere, and Mau Nam Nguyen, Portland State University
ISBN: 978-1-312-74284-0
Available from http://pdxscholar.library.pdx.edu/pdxopen/3/

All three textbooks are also available through http://open.umn.edu/opentextbooks
Under the Mathematics & Statistics subject area.