MATH 308
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Date Section(s) Topics Sept 30 1.1 Lines, systems of linear eqns, R n , set language/notation Oct 2 1.1 Lines, 0,1, ∞ly many solns, 4 ar and echelon systems Free variables, parameters Quiz on set notation. Oct 5 1.2 Coefficient matrix, augmented matrix, elementary row operations, row reduced echelon form Oct 7 Linearity Oct 9 2.1 R n , vectors, points in R n Oct 12 2.2 Linear (in)dependence, linear combinations, span Oct 14 2.3 Linear independence Oct 16 2.3 Linear independence Oct 19 3.1 Matrices, Linear Transformations Oct 21 3.1 Matrices, Linear Transformations Oct 23 3.2 Matrix algebra Oct 26 3.2 Matrix algebra Oct 28 3.3 Inverses Oct 30 3.3 Inverses Nov 2 4.1 Subspaces, basis, bases, and dimension Nov 4 4.1 Subspaces, basis, bases, and dimension Nov 6 Rank and nullity Nov 9 Midterm Nov 11 Veteran’s Day Nov 13 4.2, 4.3 Null space, kernel, range, row and column spaces Nov 16 4.2, 4.3 Null space, kernel, range, row and column spaces Nov 18 5.1 Determinants Nov 20 5.1, 5.2 Determinants, characteristic polynomial Nov 23 5.1, 5.2 Determinants, characteristic polynomial Nov 25 6.1 Eigenvalues, eigenvectors, 2 × 2 case Nov 27 Thanksgiving Nov 30 6.1 Eigenvalues, eigenvectors, n × n case Dec 2 6.1 Eigenvalues, eigenvectors, n × n case Dec 4 6.3 Change of basis Dec 7 6.3 Change of basis Dec 9 8.1 Dot product, orthogonality Dec 11 8.2 Projection, least squares Dec 7 8.2 Projection, least squares Dec 9 Review Dec 11 Review Dec 14 Final Exam for 308E at 8:30-10:20 Dec 16 Final Exam for 308B at 8:30-10:20 Table 1. Approximate syllabus for Math 308, Fall 2015 1
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Date Section(s) TopicsSept 30 1.1 Lines, systems of linear eqns, Rn, set language/notationOct 2 1.1 Lines, 0,1, ∞ly many solns, 4ar and echelon systems
Free variables, parametersQuiz on set notation.
Oct 5 1.2 Coefficient matrix, augmented matrix, elementary row operations,row reduced echelon form
Oct 7 LinearityOct 9 2.1 Rn, vectors, points in Rn
Oct 12 2.2 Linear (in)dependence, linear combinations, spanOct 14 2.3 Linear independenceOct 16 2.3 Linear independenceOct 19 3.1 Matrices, Linear TransformationsOct 21 3.1 Matrices, Linear TransformationsOct 23 3.2 Matrix algebraOct 26 3.2 Matrix algebraOct 28 3.3 InversesOct 30 3.3 InversesNov 2 4.1 Subspaces, basis, bases, and dimensionNov 4 4.1 Subspaces, basis, bases, and dimensionNov 6 Rank and nullityNov 9 MidtermNov 11 Veteran’s DayNov 13 4.2, 4.3 Null space, kernel, range, row and column spacesNov 16 4.2, 4.3 Null space, kernel, range, row and column spacesNov 18 5.1 DeterminantsNov 20 5.1, 5.2 Determinants, characteristic polynomialNov 23 5.1, 5.2 Determinants, characteristic polynomialNov 25 6.1 Eigenvalues, eigenvectors, 2× 2 caseNov 27 ThanksgivingNov 30 6.1 Eigenvalues, eigenvectors, n× n caseDec 2 6.1 Eigenvalues, eigenvectors, n× n caseDec 4 6.3 Change of basisDec 7 6.3 Change of basisDec 9 8.1 Dot product, orthogonalityDec 11 8.2 Projection, least squaresDec 7 8.2 Projection, least squaresDec 9 ReviewDec 11 ReviewDec 14 Final Exam for 308E at 8:30-10:20Dec 16 Final Exam for 308B at 8:30-10:20
Table 1. Approximate syllabus for Math 308, Fall 20151
