Math 318 emphasizes the mathematical concepts that occur in linear algebra and is more appropriate for a math major than Math 308. It will be required of those students who are in the Comprehensive Option of the BS (the more rigorous of the two new options). Math 318 can be substituted for Math 308 anywhere it appears as a prerequisite. The content will not differ greatly from 308, but the emphasis will differ. Compared with Math 308 some subjects will be omitted (least squares) and others will be emphasized (determinants, and linear transformations). Students will be expected to make small proofs and Math 310 will be a prerequisite. The idea of linearity will be emphasized.

Text: Elementary Linear Algebra by Stephen Andrilli and David Hecker. The text emphasizes precise arguments and has problems that require students to make simple proofs.

• §1.1-1.5, Vectors and Matrices, 5 lectures
• §2.1-2.5, Systems of Linear Equations, 5 lectures
• §3.1-3.3, Determinants, 3 lectures
• §4.1-4.7, Subspaces, Dimension, Bases, 7 lectures
• §5.1-5.4, Linear Transformations, 4 lectures
• §6.1-6.2, Eigenvalues and Eigenvectors, 2 lectures

Updated 10-6-2004