This book contains all of the material that would generally be covered in a Freshman or Sophomore Linear Algebra course. The book includes all the topics we require in our introductory linear algebra course. read more. Upon an initial review I found no obvious errors. Dense paragraphs are mostly avoided and the text is broken up with examples, theorems, etc... in a similar manner to other modern textbooks. In my experience, text book works extremely well with the learning outcomes defined by my institution for entry level linear algebra course. I plan to propose that we adopt this text as our required text for our introductory linear algebra course. read more. The book is over 400 pages, so I have not proof-read the entire book. It has been extensively edited by Athabasca University and reflects current International Financial Reporting Standards (IFRS). The use of color is also consistent and makes it easy to skim the sections. Text stays consistent throughout with definitions, solutions and responses. However, modern linear algebra needs to be very mindful of cases in which matrices are extremely large (e.g., billion by billion or larger), as such matrices are becoming increasingly common in nearly all areas of science and engineering. This is a major overstatement, as Cramer's rule has computational complexity O(n*n! This book would be suitable for students' first exposure to proofs. Lyryx: Front matter has been updated including cover, copyright, and revision pages. University of Texas at Austin, Ph.D. in Mathematics. The first three chapters (Systems of Equations, Matrices, and Determinants) are standard in any introductory Linear Algebra course, but the content of the remainder of such courses varies quite a bit. I have seen other reviewers complain about the length of the text, but I think this may be a consequence of having a text that is so modular, and also inclusive of advanced topics. The colors and styles used (e.g., for the example boxes, the theorems, etc.) However, this is intended to be a first course in linear algebra for students who are sophomores or juniors who have had a course in one variable calculus and a reasonable background in college algebra. Techniques to solve the problems are easy to follow and build upon as the topics gets harder. The one missing element that I like in Linear Algebra exercises is True/False; aside from supplementing for that, one could use these exercises exclusively. Upon initial review, No spelling or grammar errors were encountered. Copy and paste this code into your Wikipedia page. LMS Integration: Brightspace, Moodle, and most LMS supporting LTI protocol. Textbook Review: Open Textbook Library Watch the recordings here on Youtube! In addition, connections to topics covered in advanced courses are introduced. Each section provides simple, leading examples that explore the new topic. The row reduced echelon form and its many consequences and applications are covered well in the first several chapters. 5.8 The Matrix of a Linear Transformation II. The text is designed in a modular fashion to maximize flexibility and facilitate adaptation to a given course outline and student profile. read more, In my experience, text book works extremely well with the learning outcomes defined by my institution for entry level linear algebra course. For the book's stated purpose of providing a first approach to linear algebra is met. Aside from the leading topics in a standard linear algebra course, there are some less-standard but highly important topics covered, such as spectral theory, abstract vector spaces, curvilinear coordinates, and even a nice chapter on complex numbers (a topic which is often assumed even if students aren't so familiar with it). It would be easy to adapt to any introductory curriculum. are also quite consistent. 4.10.5 Row Space, Column Space, and Null Space of a Matrix. ABOUT THIS TEXTBOOK – A First Course in Linear Algebra, originally by K. Kuttler, has been redesigned by the Lyryx editorial team as a first course for the general students who have an understanding of basic high school algebra and intend to be users of linear algebra methods in their profession, from business & economics to science students. Lyryx: The text has been updated with the addition of subsections on Resistor Networks and the Aside from the leading topics in a standard linear algebra course, there are some less-standard but highly important topics covered, such as spectral theory, abstract vector spaces,... Each chapter begins with a list of student learning outcomes, and examples and diagrams are given throughout the text to reinforce ideas and provide guidance on how to approach various problems. I did not detect any inconsistency in the way that the material was presented. The sections of the book are of a reasonable length and the organization makes sense. I would like to have all terminology hyperlinked to its definition box, but other than that, everything else is hyperlinked. \(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\), Book: A First Course in Linear Algebra (Kuttler), [ "article:topic-category", "coverpage:yes", "license:ccby", "showtoc:no", "authorname:kkuttler", "lulu@A First Course in Linear Algebra@Ken Kuttler@Brigham Young University@A First Course in Linear Algebra" ], \( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \) \( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}} \)\(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\) \(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\), lulu@A First Course in Linear Algebra@Ken Kuttler@Brigham Young University@A First Course in Linear Algebra. While the exposition is quite clear and there are many great examples and explanations, the overall length could be intimidating to some students. Therefore, in sections where methods which are inefficient or unstable for large matrices, major warning signs need to be given. Typically students will have taken calculus, but it is not a prerequisite.

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