{"id":1475,"date":"2017-03-02T14:17:42","date_gmt":"2017-03-02T19:17:42","guid":{"rendered":"https:\/\/www.bates.edu\/mathematics\/?page_id=1475"},"modified":"2022-06-30T17:27:35","modified_gmt":"2022-06-30T21:27:35","slug":"math-205-old-quizzes","status":"publish","type":"page","link":"https:\/\/www.bates.edu\/mathematics\/math-205-old-quizzes\/","title":{"rendered":"Math 205: Old Quizzes"},"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\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\n\n
Term<\/th>\nDate<\/th>\nInstructor<\/th>\nTopic(s)<\/th>\nText Sections<\/th>\nSolutions<\/th>\n<\/tr>\n
F15<\/td>\n09\/14\/15<\/a><\/td>\nWong<\/td>\nsystems of linear equations, row reduction and echelon forms<\/td>\n1.1, 1.2<\/td>\nyes<\/a><\/td>\n<\/tr>\n
F15<\/td>\n09\/21\/15<\/a><\/td>\nWong<\/td>\nvector equations, matrix equations, solution sets of linear systems<\/td>\n1.3, 1.4, 1.5<\/td>\nyes<\/a><\/td>\n<\/tr>\n
F15<\/td>\n09\/28\/15<\/a><\/td>\nWong<\/td>\nlinear independence, linear transformations and their matrices<\/td>\n1.7, 1.8, 1.9<\/td>\nyes<\/a><\/td>\n<\/tr>\n
F15<\/td>\n10\/05\/15<\/a><\/td>\nWong<\/td>\nmatrix operations, inverse of a matrix, invertible matrices<\/td>\n2.1, 2.2, 2.3<\/td>\nyes<\/a><\/td>\n<\/tr>\n
F15<\/td>\n10\/16\/15<\/a><\/td>\nWong<\/td>\ndeterminants and their properties<\/td>\n3.1, 3.2<\/td>\nyes<\/a><\/td>\n<\/tr>\n
F15<\/td>\n10\/30\/15<\/a><\/td>\nWong<\/td>\nvector spaces, null spaces, column spaces, bases<\/td>\n4.1, 4.2, 4.3<\/td>\nyes<\/a><\/td>\n<\/tr>\n
F15<\/td>\n11\/04\/15<\/a><\/td>\nWong<\/td>\ndimension, rank, change of basis<\/td>\n4.5, 4.6, 4.7<\/td>\nyes<\/a><\/td>\n<\/tr>\n
F15<\/td>\n11\/11\/15<\/a><\/td>\nWong<\/td>\neigenvalues, eigenvectors, characteristic equation, diagonalization<\/td>\n5.1, 5.2, 5.3<\/td>\nyes<\/a><\/td>\n<\/tr>\n
F15<\/td>\n12\/04\/15<\/a><\/td>\nWong<\/td>\northogonality, orthogonal sets, orthogonal projections<\/td>\n6.1, 6.2, 6.3<\/td>\nyes<\/a><\/td>\n<\/tr>\n
F15<\/td>\n12\/11\/15<\/a><\/td>\nWong<\/td>\nGram-Schmidt process, diagonalization of symmetric matrices<\/td>\n6.4, 7.1<\/td>\nyes<\/a><\/td>\n<\/tr>\n
W15<\/td>\n01\/23\/15<\/a><\/td>\nRoss<\/td>\n(Quiz 1, version 1) systems of equations, matrix representation, reduced row echelon form, vector equations, linear combination, span of a set of vectors<\/td>\n1.1, 1.2, 1.3<\/td>\nyes<\/a><\/td>\n<\/tr>\n
W15<\/td>\n01\/23\/15<\/a><\/td>\nRoss<\/td>\n(Quiz 1, version 2) systems of equations, matrix representation, reduced row echelon form, vector equations, linear combination, span of a set of vectors<\/td>\n1.1, 1.2, 1.3<\/td>\nyes<\/a><\/td>\n<\/tr>\n
W15<\/td>\n01\/30\/15<\/a><\/td>\nRoss<\/td>\n(Quiz 2, version 1) conditions for consistency, solutions of matrix equations in parametric vector form<\/td>\n1.4, 1.5<\/td>\nyes<\/a><\/td>\n<\/tr>\n
W15<\/td>\n01\/30\/15<\/a><\/td>\nRoss<\/td>\n(Quiz 2, version 2) conditions for consistency, solutions of matrix equations in parametric vector form<\/td>\n1.4, 1.5<\/td>\nyes<\/a><\/td>\n<\/tr>\n
W15<\/td>\n02\/13\/15<\/a><\/td>\nRoss<\/td>\n(Quiz 3) linear transformations<\/td>\n1.8, 1.9<\/td>\nyes<\/a><\/td>\n<\/tr>\n
W15<\/td>\n02\/27\/15<\/a><\/td>\nRoss<\/td>\n(Quiz 4) matrix algebra: multiplication, inverse, transpose<\/td>\n2.1, 2.2<\/td>\nyes<\/a><\/td>\n<\/tr>\n
W15<\/td>\n03\/06\/15<\/a><\/td>\nRoss<\/td>\n(Quiz 5) abstract vector spaces and subspaces<\/td>\n4.1<\/td>\nyes<\/a><\/td>\n<\/tr>\n
W15<\/td>\n03\/20\/15<\/a><\/td>\nRoss<\/td>\n(Quiz 6) change of basis matrix,\u00a0 eigenvectors, eigenvalues<\/td>\n4.7, 5.1<\/td>\nyes<\/a><\/td>\n<\/tr>\n
W15<\/td>\n03\/27\/15<\/a><\/td>\nRoss<\/td>\n(Quiz 7) eigenvectors, eigenvalues, eigenspaces, characteristic polynomials<\/td>\n5.1, 5.2<\/td>\nyes<\/a><\/td>\n<\/tr>\n
W15<\/td>\n04\/03\/15<\/a><\/td>\nRoss<\/td>\n(Quiz 8) diagonalization, inner (dot) product<\/td>\n5.3, 6.1<\/td>\nyes<\/a><\/td>\n<\/tr>\n
W14<\/td>\n01\/13\/14<\/a><\/td>\nRoss<\/td>\n(Quiz 1) using the RREF of a matrix to solve a system of linear equations<\/td>\n1.1, 1.2<\/td>\nyes<\/a><\/td>\n<\/tr>\n
W14<\/td>\n01\/24\/14<\/a><\/td>\nRoss<\/td>\n(Quiz 2) vector equation, linear combination, span of a set of vectors<\/td>\n1.3<\/td>\nyes<\/a><\/td>\n<\/tr>\n
W14<\/td>\n02\/07\/14<\/a><\/td>\nRoss<\/td>\n(Quiz 3) linear independence of column vectors, definition of linear transformation<\/td>\n1.7, 1.8<\/td>\nyes<\/a><\/td>\n<\/tr>\n
W14<\/td>\n02\/14\/14<\/a><\/td>\nRoss<\/td>\n(Quiz 4) matrix multiplication, inverse of a 2×2 matrix, one-to-one and onto linear transformations<\/td>\n1.9, 2.1, 2.2<\/td>\nyes<\/a><\/td>\n<\/tr>\n
W14<\/td>\n02\/28\/14<\/a><\/td>\nRoss<\/td>\n(Quiz 5) abstract vector spaces and subspaces, linear independence and linear combinations in such spaces<\/td>\n4.1, 4.3<\/td>\nyes<\/a><\/td>\n<\/tr>\n
W14<\/td>\n03\/21\/14<\/a><\/td>\nRoss<\/td>\n(Quiz 6) change of basis, determinants by cofactors, eigenvalues, eigenvectors, characteristic polynomials<\/td>\n3.1, 4.7, 5.1, 5.2<\/td>\nyes<\/a><\/td>\n<\/tr>\n
W14<\/td>\n03\/28\/14<\/a><\/td>\nRoss<\/td>\n(Quiz 7) diagonalization, dot (inner) products, unit vectors, perpendicular vectors, distance between vectors<\/td>\n5.3, 6.1<\/td>\nyes<\/a><\/td>\n<\/tr>\n
F13<\/td>\n09\/13\/13<\/a><\/td>\nBuell<\/td>\nreduced row echelon form, span of vectors<\/td>\n1.1, 1.2, 1.3<\/td>\nyes<\/a><\/td>\n<\/tr>\n
F13<\/td>\n09\/20\/13<\/a><\/td>\nBuell<\/td>\nsolutions to Ax=b in parametric vector form, solution sets to linear systems, linear independence<\/td>\n1.4, 1.5, 1.7<\/td>\nyes<\/a><\/td>\n<\/tr>\n
F13<\/td>\n09\/27\/13<\/a><\/td>\nBuell<\/td>\nlinear tranformations, the matrix of a linear transformation, definitions<\/td>\n1.8, 1.9<\/td>\nyes<\/a><\/td>\n<\/tr>\n
F13<\/td>\n10\/04\/13<\/a><\/td>\nBuell<\/td>\nmatrix multiplication, inverse of a matrix<\/td>\n2.1, 2.2<\/td>\nyes<\/a><\/td>\n<\/tr>\n
F13<\/td>\n10\/25\/13<\/a><\/td>\nBuell<\/td>\nvector space, subspace, null space, column space, basis<\/td>\n4.1, 4.2, 4.3<\/td>\nyes<\/a><\/td>\n<\/tr>\n
F13<\/td>\n11\/01\/13<\/a><\/td>\nBuell<\/td>\ncoordinate systems, dimension<\/td>\n4.4, 4.5<\/td>\nyes<\/a><\/td>\n<\/tr>\n
F13<\/td>\n11\/08\/13<\/a><\/td>\nBuell<\/td>\ndeterminants, rank<\/td>\n3.1, 4.6<\/td>\nyes<\/a><\/td>\n<\/tr>\n
F13<\/td>\n11\/15\/13<\/a><\/td>\nBuell<\/td>\neigenvectors, eigenvalues, characteristic equation, diagonalization<\/td>\n5.1, 5.2, 5.3<\/td>\nyes<\/a><\/td>\n<\/tr>\n
F13<\/td>\n11\/22\/13<\/a><\/td>\nBuell<\/td>\ninner product, length, orthogonality<\/td>\n6.1, 6.2<\/td>\nyes<\/a><\/td>\n<\/tr>\n
W13<\/td>\n01\/11\/13<\/a><\/td>\nWong<\/td>\nsystems of linear equations, row reduction and echelon forms<\/td>\n1.1, 1.2<\/td>\nyes<\/a><\/td>\n<\/tr>\n
W13<\/td>\n01\/18\/13<\/a><\/td>\nWong<\/td>\nvector equations, matrix equations<\/td>\n1.3, 1.4<\/td>\nyes<\/a><\/td>\n<\/tr>\n
W13<\/td>\n01\/25\/13<\/a><\/td>\nWong<\/td>\nsolution sets to linear systems, linear independence<\/td>\n1.5, 1.7<\/td>\nyes<\/a><\/td>\n<\/tr>\n
W13<\/td>\n02\/01\/13<\/a><\/td>\nWong<\/td>\nlinear transformations, matrix of a linear transformation<\/td>\n1.8, 1.9<\/td>\nyes<\/a><\/td>\n<\/tr>\n
W13<\/td>\n02\/13\/13<\/a><\/td>\nWong<\/td>\ndeterminants and their properties<\/td>\n3.1, 3.2<\/td>\nyes<\/a><\/td>\n<\/tr>\n
W13<\/td>\n02\/27\/13<\/a><\/td>\nWong<\/td>\nvector spaces, linear transformations<\/td>\n4.1, 4.2<\/td>\nyes<\/a><\/td>\n<\/tr>\n
W13<\/td>\n03\/06\/13<\/a><\/td>\nWong<\/td>\ncoordinate vectors, bases<\/td>\n4.3, 4.4<\/td>\nyes<\/a><\/td>\n<\/tr>\n
W13<\/td>\n03\/13\/13<\/a><\/td>\nWong<\/td>\neigenvalues, eigenvectors, eigenspace<\/td>\n5.1<\/td>\nyes<\/a><\/td>\n<\/tr>\n
W13<\/td>\n03\/27\/13<\/a><\/td>\nWong<\/td>\northogonal sets, projection, length<\/td>\n6.1, 6.2<\/td>\nyes<\/a><\/td>\n<\/tr>\n
W13<\/td>\n04\/03\/13<\/a><\/td>\nWong<\/td>\nGram-Schmidt process, QR decomposition<\/td>\n6.3, 6.4<\/td>\nyes<\/a><\/td>\n<\/tr>\n
F12<\/td>\n09\/14\/12<\/a><\/td>\nRoss<\/td>\n(Quiz 1) using RREF of an augmented matrix to solve a system of equations, span of a set of column vectors<\/td>\n1.1, 1.2, 1.3, 1.4<\/td>\nyes<\/a><\/td>\n<\/tr>\n
F12<\/td>\n09\/26\/12<\/a><\/td>\nRoss<\/td>\n(Quiz 2) solutions to Ax=b in parametric vector form, equilibrium model application from economics<\/td>\n1.5, 1.6<\/td>\nyes<\/a><\/td>\n<\/tr>\n
F12<\/td>\n09\/28\/12<\/a><\/td>\nRoss<\/td>\n(Quiz 3) relationships among vectors in linearly dependent sets<\/td>\n1.7<\/td>\nyes<\/a><\/td>\n<\/tr>\n
F12<\/td>\n10\/12\/12<\/a><\/td>\nRoss<\/td>\n(Quiz 4) matrix multiplication<\/td>\n2.1<\/td>\nyes<\/a><\/td>\n<\/tr>\n
F12<\/td>\n10\/26\/12<\/a><\/td>\nRoss<\/td>\n(Quiz 5) Leontief Input-Output model, finding a basis for the column space of a matrix<\/td>\n2.6, 2.8<\/td>\nyes<\/a><\/td>\n<\/tr>\n
F12<\/td>\n11\/02\/12<\/a><\/td>\nRoss<\/td>\n(Quiz 6) determinants<\/td>\n3.1, 3.2<\/td>\nyes<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"excerpt":{"rendered":"

  Term Date Instructor Topic(s) Text Sections Solutions F15 09\/14\/15 Wong 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-1475","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.bates.edu\/mathematics\/wp-json\/wp\/v2\/pages\/1475","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=1475"}],"version-history":[{"count":2,"href":"https:\/\/www.bates.edu\/mathematics\/wp-json\/wp\/v2\/pages\/1475\/revisions"}],"predecessor-version":[{"id":2383,"href":"https:\/\/www.bates.edu\/mathematics\/wp-json\/wp\/v2\/pages\/1475\/revisions\/2383"}],"wp:attachment":[{"href":"https:\/\/www.bates.edu\/mathematics\/wp-json\/wp\/v2\/media?parent=1475"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}