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Unformatted text preview: MATHEMATICS 355 ADVANCED LINEAR ALGEBRA, SPRING 2009 Textbook: Linear Algebra by Friedberg, Insel, Spence, 4th edition Weekly schedule: MTThF 10:30 - 11:20 am Instructor: Chris Moseley, NH 286 Email: firstname.lastname@example.org Office hours: 12:30 - 1:20 pm, M - F, or by appointment Website: www.calvin.edu/~cgm3 What this course is about: linear algebra is the study of vector spaces and mappings be- tween vector spaces ( linear transformations ). This course is designed for students of math- ematics and other disciplines who need a rigorous foundation in linear algebra. It assumes that students are already familiar with the elementary tools and ideas of linear algebra such as matrix multiplication, the rank and nullspace of a matrix, eigenvectors and eigenvalues, to name a few (see Prerequisites ). The assigned problems in this course will usually go beyond mere computational exercises and will often involve proving mathematical proposi- tions. Prerequisites: the standard prerequisites for this course are Mathematics 256, or Mathemat- ics 232, or both Mathematics 231 and 261. Exceptions may be granted by the instructor, but all students should be familiar with the elementary ideas and tools of linear algebra that are covered in these courses. List of topics: (tentative) 1.1 Introduction 1.2 Vector Spaces 1.3 Subspaces 1.4 Linear Combinations and Systems of Equations 1.5 Linear Dependence and Linear Independence 1.6 Bases and Dimension 2.1 Linear Transformations, Null Spaces, and Ranges 2.2 The Matrix Representation of a Linear Transformation2....
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