Series: MAA Notes A valuable resource for anyone teaching linear algebra. This book argues that the teaching of elementary linear algebra can be made more effective by emphasizing applications, exposition, and pedagogy. = Relevant applications serve as motivation for students and as sources of stimulating and challenging problems. =Effective exposition that finds the right way to communicate concepts is especially important in the teaching of linear algebra. =Attention to pedagogy that takes into account how students learn, helps to increase student understanding of the material. Contains a core syllabus for the first course in linear algebra, and the thoughts of mathematics faculty members who have taught linear algebra using these recommendations.