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Warning! To study for an exam, simply doing problems from sample exams is not enough. Not every type of problem can be given on an exam. The exam you take may have a problem of a type not on one of the samples. You still need to review the material in the text and be sure you are familiar with all types of problems in the homework and problem sets.

Warning 2!  The material that appears on a given exam in two different semesters may be very different. This is especially the case when different texts are used, since they often present the material in a different order, and sometimes present different topics. Take note of the list of topics covered. You should take these exams only as guides to the length and difficulty of exams I give, and not to their content.

Spring 2011, Text: Shiffrin & Adams
Exam 1   Linear systems, matrix algebra, rank, linear combinations, eigenvectors/values, projections.
Exam 2   Span, independence, basis, dimension, null space, symmetric, skew-symmetric, orthogonal complement, elementary matrices, subspaces
Exam 3   Independence, orthogonality, and projection in abstract vector spaces, determinants.
Final Exam

Spring 2008, Text: Messer
Exam 1   Vector spaces, linear systems, matrix algebra. (Chapters 1, 2, 5)
Exam 2   Span, linear independence, bases, inner products, projections, coordinates, eigenvectors/eigenvalues. (Chapters 3, 4)
Exam 3   Linear transformations, row space, column space, matrix for a linear transformation, change of basis, eigenvectors/eigenvalues. (Chapter 6)
Final Exam

Spring 2003, Text: Hill
Exam 1    Linear systems, matrix algebra, LU decompositions, elementary matrices, vector spaces, dot products, eigenvectors, linear combinations.
Exam 2    Null space, rank, determinant, span, linear independence, bases, eigenvectors/eigenvalues
Exam 3    Inner products, projections, eigenvectors and eigenvalues, linear transformations, coordinates.
Final Exam

Spring 2001, Text: Messer   (Only two regular exams were given.)
Exam 1    Vector spaces, linear systems, bases, dimension. (Chapters 1, 2, 3)
Exam 2    Matrix algebra, inner products, linear transformations, row and column spaces, orthonormal bases. (Chapters 4, 5, 6)
Final Exam

Fall 1997, Text: Leon
Exam 1    Linear systems, matrix multiplication, determinants, vector spaces.
Exam 2    Vector spaces, subspaces, linear combinations, span, independence, basis, dimension, null space (kernel), linear transformations.
Exam 3    Inner products, Gram-Schmidt process, change of basis.
Final Exam

Fall 1994, Text: Messer  (Only two regular exams were given.)
Exam 1    Vector spaces, linear systems, bases, dimension. (Chapters 1, 2, 3)
Exam 2    Matrix algebra, inner products, linear transformations, orthonormal bases, row and column spaces. (Chapters 4, 5, 6)
Final Exam