Linear Algebra

<p>Linear Algebra: An Inquiry-based Approach is written to give instructors a tool to teach students to develop a mathematical concept from first principles. The Inquiry-based Approach is central to this development. The text is organized around and offers the standard topics expected in a first undergraduate course in linear algebra. </p><p>In our approach students begin with a problem and develop the mathematics necessary to describe solve and generalize it. Thus students learn a vital skill for the 21st century: the ability to create a solution to a problem. </p><p>This text is offered to foster an environment that supports the creative process. The twin goals of this textbook are: </p><p>•Providing opportunities to be creative<br>•Teaching “ways of thinking” that will make it easier for to be creative.</p><p>To motivate the development of the concepts and techniques of linear algebra we include more than two hundred activities on a wide range of problems from purely mathematical questions through applications in biology computer science cryptography and more.</p><p><strong>Table of Contents</strong></p><p>Introduction and Features <br>For the Student . . . and Teacher <br>Prerequisites <br>Suggested Sequences <br>1 Tuples and Vectors <br>2 Systems of Linear Equations <br>3 Transformations <br>4 Matrix Algebra<br>5 Vector Spaces <br>6 Determinants <br>7 Eigenvalues and Eigenvectors <br>8 Decomposition <br>9 Extras <br>Bibliography <br>Index </p><p><strong>Bibliography</strong></p><p>Jeff Suzuki is Associate Professor of Mathematics at Brooklyn College and holds a Ph.D. from Boston University. His research interests include mathematics education history of mathematics and the application of mathematics to society and technology. He is a two-time winner of the prestigious Carl B. Allendoerfer Award for expository writing. His publications have appeared in The College Mathematics Journals; Mathematics Magazine; Mathematics Teacher; and the American Mathematical Society's blog on teaching and learning mathematics. His YouTube channel (http://youtube.com/jeffsuzuki1) includes videos on mathematical subjects ranging<br>from elementary arithmetic to linear algebra cryptography and differential equations.</p>