MATH 1503

Lines and Planes, The Geometry and Algebra of vectors, Systems of linear equations, Matrix algebra, LU factorization, linear independence, spanning sets, basis, linear transformations, determinants, complex numbers, Eigenvalues, Eigenvectors, and Diagonalization.

Caroline Purdy, Department of Mathematics and Statistics, University of New Brunswick.

The material is organised into the following sections:
1.1 The Geometry and Algebra of Vectors
1.2 Length and Angle, dot product
1.3 Lines and Planes
Exploration page 48 Cross Product
2.1 Systems of Linear Equations
2.2 Solving systems of equations
2.3 Spanning sets and linear independence
3.1 Matrix operations
3.2 Matrix algebra
3.3 Inverse of a matrix
3.4 LU factorization
3.5 Subspaces, Basis, Dimension and Rank
3.6 Linear Transformations
Appendix C Complex numbers
4.1 Eigenvalues and Eigenvectors
4.2 Determinants
4.3 Eigenvalues and Eigenvectors for matrices
4.4 Similarity and Diagonalization

Linear Algebra: A Modern Introduction (Third Edition), by David Poole, Brooks/Cole, 2011

Textbooks can be ordered from the UNB Fredericton Bookstore:
506-453-4664
unb.bkstr.ca

Course work consists of two components: written homework, and a final exam.

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Fees are subject to change by the Board of Governors.

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