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