{"id":1479,"date":"2017-03-02T14:29:01","date_gmt":"2017-03-02T19:29:01","guid":{"rendered":"https:\/\/www.bates.edu\/mathematics\/?page_id=1479"},"modified":"2022-06-30T17:27:35","modified_gmt":"2022-06-30T21:27:35","slug":"math-205-old-exams","status":"publish","type":"page","link":"https:\/\/www.bates.edu\/mathematics\/math-205-old-exams\/","title":{"rendered":"Math 205: Old Exams"},"content":{"rendered":"

 <\/p>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
Term<\/th>\nDate<\/th>\nInstructor<\/th>\nTopic(s)<\/th>\nText Sections<\/th>\nSolutions<\/th>\n<\/tr>\n
W16<\/td>\n02\/12\/16<\/a><\/td>\nJayawant<\/td>\nsystems of linear equations and their solutions,
\nlinear independence, linear transformations, matrix operations and matrix
\ninverses, subspace<\/td>\n		(Lay) 1.1-1.5, 1.7-1.9, 2.1-2.3, 2.8 (page 168 – definition of subspace)<\/td>\nyes<\/a><\/td>\n<\/tr>\n
W16<\/td>\n03\/18\/16<\/a><\/td>\nJayawant<\/td>\ncolumn space, null space, bases, dimension, rank, determinants,
\neigenvalues, eigenvectors, characteristic equation, diagonalization, inner
\nproduct, length, orthogonality, orthogonal basis, orthogonal projection<\/td>\n		(Lay) 2.8-2.9, 3.1-3.2, 5.1-5.3, 6.1-6.2 (through page 389)<\/td>\nyes<\/a><\/td>\n<\/tr>\n
F15<\/td>\n10\/07\/15<\/a><\/td>\nWong<\/td>\nsystems of linear equations and their solutions and applications, linear independence, linear transformations, matrix operations and matrix inverses<\/td>\n(Lay) 1.1-1.9, 2.1-2.3<\/td>\nyes<\/a><\/td>\n<\/tr>\n
F15<\/td>\n11\/16\/15<\/a><\/td>\nWong<\/td>\ndeterminants, vector spaces, subspaces, column space, null space, basis, rank, eigenvectors, eigenvalues, characteristic equation, diagonalization<\/td>\n(Lay) 3.1-3.2, 4.1-4.6, 5.1-5.3<\/td>\nyes<\/a><\/td>\n<\/tr>\n
F15<\/td>\n12\/15\/15<\/a><\/td>\nWong<\/td>\nFinal: all from 10\/07 and 11\/16 exams plus inner product, orthogonality, Gram-Schmidt process, diagonalization<\/td>\n(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<\/td>\nno<\/td>\n<\/tr>\n
W15<\/td>\n02\/06\/15<\/a><\/td>\nRoss<\/td>\n(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<\/td>\n(Lay) 1.1-1.7<\/td>\nyes<\/a><\/td>\n<\/tr>\n
W15<\/td>\n03\/13\/15<\/a><\/td>\nRoss<\/td>\n(Exam 2) elementary matrices, matrix inverse, general vector spaces, subspaces, basis, null and column space, one-to-one linear transformations<\/td>\n(Lay) 2.1-2.3,\u00a0 4.1-4.3<\/td>\nyes<\/a><\/td>\n<\/tr>\n
F14<\/td>\n10\/03\/14<\/a><\/td>\nOtt<\/td>\nsystems of linear equations and their solutions,
\nlinear independence, linear transformations, matrix operations, inverse of a matrix, determinants<\/td>\n		(Lay) 1.1-1.5, 1.7-1.9, 2.1-2.3, 3.1-3.2<\/td>\nyes<\/a><\/td>\n<\/tr>\n
F14<\/td>\n11\/10\/14<\/a><\/td>\nOtt<\/td>\nvector spaces, subspaces, null spaces, column spaces, linear independence, bases, coordinate systems, dimension, rank, eigenvectors, eigenvalues, characteristic equation, diagonalization<\/td>\n(Lay) 4.1-4.6, 5.1-5.3<\/td>\nyes<\/a><\/td>\n<\/tr>\n
F14<\/td>\n12\/09\/14<\/a><\/td>\nOtt<\/td>\nFinal: all from 10\/03 and 11\/10 exams plus inner products, length, orthogonality, orthogonal sets and projections, Gram-Schmidt process<\/td>\n(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<\/td>\nyes<\/a><\/td>\n<\/tr>\n
W14<\/td>\n01\/31\/14<\/a><\/td>\nRoss<\/td>\n(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<\/td>\n(Lay) 1.1-1.7<\/td>\nyes<\/a><\/td>\n<\/tr>\n
W14<\/td>\n03\/07\/14<\/a><\/td>\nRoss<\/td>\n(Exam 2) basis for null and row space of a matrix, basis for abstract vector spaces, subspaces, linear transformations on abstract spaces, elementary matrices<\/td>\n(Lay) 4.1-4.3<\/td>\nyes<\/a><\/td>\n<\/tr>\n
W14<\/td>\n04\/08\/14<\/a><\/td>\nRoss<\/td>\n(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<\/td>\n(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<\/td>\nyes<\/a><\/td>\n<\/tr>\n
F13<\/td>\n10\/07\/13<\/a><\/td>\nBuell<\/td>\nsystems of linear equations and their solutions,
\nlinear independence, linear transformations, matrix operations<\/td>\n		(Lay) 1.1-1.5, 1.7-1.9, 2.1<\/td>\nyes<\/a><\/td>\n<\/tr>\n
F13<\/td>\n11\/18\/13A<\/a><\/td>\nBuell<\/td>\nIMT, determinants, vector spaces, subspaces, column space, null space, basis, rank, change-of-basis, eigenvalues, eigenvectors, diagonalization<\/td>\n(Lay) 2.2-2.3, 3.1, 4.1-4.6, 5.1-5.3<\/td>\nyes<\/a><\/td>\n<\/tr>\n
F13<\/td>\n11\/18\/13B<\/a><\/td>\nBuell<\/td>\nIMT, determinants, vector spaces, subspaces, column space, null space, basis, rank, change-of-basis, eigenvalues, eigenvectors, diagonalization<\/td>\n(Lay) 2.2-2.3, 3.1, 4.1-4.6, 5.1-5.3<\/td>\nyes<\/a><\/td>\n<\/tr>\n
F11<\/td>\n12\/10\/13<\/a><\/td>\nBuell<\/td>\nFinal: all from 10\/07 and 11\/18 exams plus inner products, length, orthogonality, orthogonal sets and projections, least squares, diagonalization<\/td>\n(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<\/td>\nno<\/td>\n<\/tr>\n
W13<\/td>\n02\/06\/13<\/a><\/td>\nWong<\/td>\nsystems of linear equations and their solutions,
\nlinear independence, linear transformations, matrix operations and matrix
\ninverses<\/td>\n		(Lay) 1.1-1.5, 1.7-1.9, 2.1-2.3<\/td>\nno<\/td>\n<\/tr>\n
W13<\/td>\n03\/18\/13<\/a><\/td>\nWong<\/td>\ndeterminants, vector spaces, subspaces, column space, null space, basis, rank, eigenvectors, eigenvalues, characteristic equation, diagonalization, linear transformations<\/td>\n(Lay) 3.1-3.2, 4.1-4.6, 5.1-5.4<\/td>\nyes<\/a><\/td>\n<\/tr>\n
W13<\/td>\n04\/09\/13<\/a><\/td>\nWong<\/td>\nFinal: all from 02\/06 and 03\/18 exams plus inner product, orthogonality, Gram-Schmidt process, diagonalization<\/td>\n(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<\/td>\nno<\/td>\n<\/tr>\n
F12<\/td>\n10\/05\/12<\/a><\/td>\nRoss<\/td>\n(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)<\/td>\n(Lay) 1.1-1.9<\/td>\nyes<\/a><\/td>\n<\/tr>\n
F12<\/td>\n11\/09\/12<\/a><\/td>\nRoss<\/td>\n(Exam 2) Leontief input\/output model, basis, column space, null space, determinants, eigenvectors, eigenvalues, characteristic polynomial, eigenspace, diagonalization<\/td>\n(Lay) 2.6, 2.8-2.9; 3.1-3.2, 5.1-5.3<\/td>\nyes<\/a><\/td>\n<\/tr>\n
F12<\/td>\n12\/12\/12<\/a><\/td>\nRoss<\/td>\n(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<\/td>\n(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<\/td>\nyes<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"excerpt":{"rendered":"

  Term Date Instructor Topic(s) Text Sections Solutions W16 02\/12\/16 Jayawant systems…<\/p>\n","protected":false},"author":436,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_hide_ai_chatbot":false,"_ai_chatbot_style":"","associated_faculty":[],"_Page_Specific_Css":"","_bates_restrict_mod":false,"_batesModPostContentOverride_prepend":false,"_batesModPostContentOverride_append":false,"_batesModPostContentOverride_append_before_footer":false,"_table_of_contents_display":false,"_table_of_contents_location":"","_table_of_contents_disableSticky":false,"_is_featured":false,"footnotes":"","_bates_seo_meta_description":"","_bates_seo_block_robots":false,"_bates_seo_sharing_image_id":0,"_bates_seo_sharing_image_twitter_id":0,"_bates_seo_share_title":"","_bates_seo_canonical_overwrite":"","_bates_seo_twitter_template":""},"class_list":["post-1479","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.bates.edu\/mathematics\/wp-json\/wp\/v2\/pages\/1479","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.bates.edu\/mathematics\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.bates.edu\/mathematics\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.bates.edu\/mathematics\/wp-json\/wp\/v2\/users\/436"}],"replies":[{"embeddable":true,"href":"https:\/\/www.bates.edu\/mathematics\/wp-json\/wp\/v2\/comments?post=1479"}],"version-history":[{"count":3,"href":"https:\/\/www.bates.edu\/mathematics\/wp-json\/wp\/v2\/pages\/1479\/revisions"}],"predecessor-version":[{"id":2382,"href":"https:\/\/www.bates.edu\/mathematics\/wp-json\/wp\/v2\/pages\/1479\/revisions\/2382"}],"wp:attachment":[{"href":"https:\/\/www.bates.edu\/mathematics\/wp-json\/wp\/v2\/media?parent=1479"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}