![]() ![]() Writing proofs of theorems or other statements allows students the opportunity to practice logical thinking and document rigorous logical arguments. Students also gain proficiency in the language of abstract mathematical proofs. The course develops methods of reasoning required to prove theorems and explain solutions to abstract mathematical problems. One of the major goals of the course is for students to become competent and confident in reading and writing technical prose that occurs in the discipline of mathematics. MA4140 satisfies the WRCO requirement of the PSU General Education Program. In addition to extending the process of developing writing skills, Writing courses also emphasize writing to learn in the discipline. These experiences should be based on Writing Across the Curriculum activities, for example, free-writing, outlining, writing multiple drafts, responding to feedback, and creating a finished product. Students take a three-credit Writing course within their major that contains significant writing experiences appropriate to the discipline. They need to learn how to write like an educator, a social worker, a biologist, an historian, or a literary critic, for example. In order to communicate effectively, students need to learn the conventions of their own discipline or profession. ![]() You should be seeking clarification about the material in the textbook whenever necessary by asking questions in class or posting questions to the course forum. I will not be covering every detail of the textbook and the only way to achieve a sufficient understanding of the material is to be digesting the reading in a meaningful way. So, any reference I make to the book will be with regard to the PDF version. The PDF version of the book will be the canonical version. That is, a given sentence appears in both books, but probably not on the same page. The second thing is that the VCU version used a different font and as a result, the content on each page does not match up. This shouldn't be a big deal once you are aware of it. The content is the same, but all the chapters are off by 1. ![]() The first is that the PDF starts with chapter 0 and the VCU version starts with chapter 1. Warning: You should be warned that there are two problems with the VCU version when compared to the PDF available on the web page. I will refer to the book available on Amazon as the "VCU version of the book." You can either download the PDF of the book here and be responsible for the printing the book yourself or you can buy a printed version of the book (published by the VCU Mathematics Department) from Amazon (go here). We will be using the free open source textbook Abstract Algebra: Theory and Applications by Tom Judson. The emphasis of this course is on your ability to read, understand, and communicate mathematics in the context of abstract algebra. We will also discuss how the field of abstract algebra fits into the broader "picture" of mathematics and take a look at some applications. ![]() We will take an axiomatic approach (definition, theorem, and proof) to the subject, but along the way, you will develop intuition about the objects of abstract algebra, pick up more proof-writing skills, and skills that enable you to better read, understand, and communicate mathematics. We will spend most of our time studying groups, but we will have an opportunity to explore additional topics in your group projects. For more information, see the Wikipedia article located here. Abstract algebra is the subject area of mathematics that studies algebraic structures, such as groups, rings, fields, modules, vector spaces, and algebras. This course is an introduction to abstract algebra. (That's sufficiently vague!) course content catalog descriptionÄesigned to study the properties of groups, rings, ideals and fields, and develop selected topics. MA3110: Logic, Proof, & Axiomatic System and MA3120: Elements of Linear Algebra (may be concurrent). Webpage: course information & policies prerequisites Office hours: MWF at 11:00-12:00PM and T at 1:30-2:30PM (or by appointment) Email: ude.htuomylp|tsnrecd#ude TOD htuomylp TA tsnrecd ![]()
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