# Math 205: Old Exams

Term Date Instructor Topic(s) Text Sections Solutions
W16 02/12/16 Jayawant systems of linear equations and their solutions,
linear independence, linear transformations, matrix operations and matrix
inverses, subspace
(Lay) 1.1-1.5, 1.7-1.9, 2.1-2.3, 2.8 (page 168 – definition of subspace) yes
W16 03/18/16 Jayawant column space, null space, bases, dimension, rank, determinants,
eigenvalues, eigenvectors, characteristic equation, diagonalization, inner
product, length, orthogonality, orthogonal basis, orthogonal projection
(Lay) 2.8-2.9, 3.1-3.2, 5.1-5.3, 6.1-6.2 (through page 389) yes
F15 10/07/15 Wong systems of linear equations and their solutions and applications, linear independence, linear transformations, matrix operations and matrix inverses (Lay) 1.1-1.9, 2.1-2.3 yes
F15 11/16/15 Wong determinants, vector spaces, subspaces, column space, null space, basis, rank, eigenvectors, eigenvalues, characteristic equation, diagonalization (Lay) 3.1-3.2, 4.1-4.6, 5.1-5.3 yes
F15 12/15/15 Wong Final: all from 10/07 and 11/16 exams plus inner product, orthogonality, Gram-Schmidt process, diagonalization (Lay) 1.1-1.9, 2.1-2.3, 3.1-3.2, 4.1-4.6, 5.1-5.4, 6.1-6.4, 7.1 no
W15 02/06/15 Ross (Exam 1) systems of linear equations, row reduction, echelon forms, solutions of systems, use of calculators to find RREF, analyzing solutions, linear combination and span of a set of vectors, homogeneous systems and particular solutions, conditions under which a vector b is in the span of the columns of a matrix A, matrix equations, linear independence, “exchange” model from economics (Lay) 1.1-1.7 yes
W15 03/13/15 Ross (Exam 2) elementary matrices, matrix inverse, general vector spaces, subspaces, basis, null and column space, one-to-one linear transformations (Lay) 2.1-2.3,  4.1-4.3 yes
F14 10/03/14 Ott systems of linear equations and their solutions,
linear independence, linear transformations, matrix operations, inverse of a matrix, determinants
(Lay) 1.1-1.5, 1.7-1.9, 2.1-2.3, 3.1-3.2 yes
F14 11/10/14 Ott vector spaces, subspaces, null spaces, column spaces, linear independence, bases, coordinate systems, dimension, rank, eigenvectors, eigenvalues, characteristic equation, diagonalization (Lay) 4.1-4.6, 5.1-5.3 yes
F14 12/09/14 Ott Final: all from 10/03 and 11/10 exams plus inner products, length, orthogonality, orthogonal sets and projections, Gram-Schmidt process (Lay) 1.1-1.5, 1.7-1.9, 2.1-2.3, 3.1-3.2, 4.1-4.6, 5.1-5.3, 6.1-6.4 yes
W14 01/31/14 Ross (Exam 1) systems of linear equations, row reduction, echelon forms, solutions of systems, use of calculators to find RREF, analyzing solutions, linear combination and span of a set of vectors, homogeneous systems and particular solutions, conditions under which a vector b is in the span of the columns of a matrix A, matrix equations, linear independence (Lay) 1.1-1.7 yes
W14 03/07/14 Ross (Exam 2) basis for null and row space of a matrix, basis for abstract vector spaces, subspaces, linear transformations on abstract spaces, elementary matrices (Lay) 4.1-4.3 yes
W14 04/08/14 Ross (Final Exam) all from 01/31 and 03/07 exams plus least-squares problems and applications, orthogonal basis, change-of-basis matrix, determinants, characteristic polynomial, eigenvector, eigenvalue, eigenspace, diagonalizability, dimension, column space (Lay) 1.1-1.7, 4.1-4.3, 4.5-4.7, 5.1-5.3, 6.1-6.2, 6.5, 6.6 yes
F13 10/07/13 Buell systems of linear equations and their solutions,
linear independence, linear transformations, matrix operations
(Lay) 1.1-1.5, 1.7-1.9, 2.1 yes
F13 11/18/13A Buell IMT, determinants, vector spaces, subspaces, column space, null space, basis, rank, change-of-basis, eigenvalues, eigenvectors, diagonalization (Lay) 2.2-2.3, 3.1, 4.1-4.6, 5.1-5.3 yes
F13 11/18/13B Buell IMT, determinants, vector spaces, subspaces, column space, null space, basis, rank, change-of-basis, eigenvalues, eigenvectors, diagonalization (Lay) 2.2-2.3, 3.1, 4.1-4.6, 5.1-5.3 yes
F11 12/10/13 Buell Final: all from 10/07 and 11/18 exams plus inner products, length, orthogonality, orthogonal sets and projections, least squares, diagonalization (Lay) 1.1-1.5, 1.7-1.9, 2.1-2.3, 3.1-3.2, 4.1-4.6, 5.1-5.3, 6.1-6.3, 6.5, 7.1 no
W13 02/06/13 Wong systems of linear equations and their solutions,
linear independence, linear transformations, matrix operations and matrix
inverses
(Lay) 1.1-1.5, 1.7-1.9, 2.1-2.3 no
W13 03/18/13 Wong determinants, vector spaces, subspaces, column space, null space, basis, rank, eigenvectors, eigenvalues, characteristic equation, diagonalization, linear transformations (Lay) 3.1-3.2, 4.1-4.6, 5.1-5.4 yes
W13 04/09/13 Wong Final: all from 02/06 and 03/18 exams plus inner product, orthogonality, Gram-Schmidt process, diagonalization (Lay) 1.1-1.5, 1.7-1.9, 2.1-2.3, 3.1-3.2, 4.1-4.6, 5.1-5.4, 6.1-6.4, 7.1 no
F12 10/05/12 Ross (Exam 1) systems of linear equations, row reduction, echelon forms, solutions of systems, use of calculators to find RREF, analyzing solutions, linear combination and span of a set of vectors, homogeneous systems and particular solutions, conditions under which a vector b is in the span of the columns of a matrix A, matrix equations, linear independence, linear transformations, an application to economics (exchange model) (Lay) 1.1-1.9 yes
F12 11/09/12 Ross (Exam 2) Leontief input/output model, basis, column space, null space, determinants, eigenvectors, eigenvalues, characteristic polynomial, eigenspace, diagonalization (Lay) 2.6, 2.8-2.9; 3.1-3.2, 5.1-5.3 yes
F12 12/12/12 Ross (Final Exam) all from 10/05 and 11/09 exams plus plus basis for null and row space, abstract vector spaces, change of basis, inner products, orthogonal sets and projections, least-squares problems and their applications (Lay) 1.1-1.9, 2.1-2.3, 2.6, 2.8-2.9; 3.1-3.2, 4.1-4.3, 4.5-4.7, 5.1-5.3, 6.1-6.3, 6.5-6.6 yes