# 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 |