Math 19620, Section 53

Linear Algebra


Lectures: MWF 12:30-1:20, Social Sciences Research Bldg 107

Problem session: Thurs 7-8pm, Eckhart 203

Office Hours: Mon 2:15-3:00, Wed 5-6, Thurs 1-2, or by appointment

Text: Otto Bretscher's Linear Algebra with Applications 4th Ed.

Syllabus


Tentative schedule & problem sets (listed on the day they will be assigned, to be posted as we get to them):

day date topic relevant text sections problem sets solutions
Mon 1/4 first day business; intro to systems of linear equations 1.1 Problem set 1 solutions
Wed 1/6 intro to vectors & matrices; Gauss-Jordan elimination 1.2
Fri 1/8 solution sets to systems of linear equations, rank; intro to matrix algebra 1.3
M 1/11 intro to linear transformations, inverses 2.1 Problem set 2 solutions
W 1/13 geometric view of linear transformations 2.2
F 1/15 matrix products 2.3
M 1/18 MLK Day -- no class
W 1/20 the inverse of a linear transformation 2.4 Problem Set 3 solutions
F 1/22 image and kernel of a linear transformation 3.1
M 1/25 canceled -- instructor ill
W 1/27 canceled -- instructor ill
F 1/29 linear independence, bases, dimension 3.2
M 2/1 EXAM I (solutions) Chs. 1-3 Problem set 4 solutions
W 2/3 coordinates & coordinate change 3.3 & 3.4
F 2/5 vector spaces and linear transformations -- the abstract approach 4.1 & 4.2 Problem set 5 solutions
M 2/8 matrices and linear transformations 4.3
W 2/10 determinants and their properties 6.1 & 6.2
F 2/12 college break - no class
M 2/15 calculating and interpreting determinants 6.3 Problem set 6 solutions
W 2/17 intro to the eigenvector problem, eigenvalues 7.1 & 7.2
F 2/19 eigenvectors 7.3 Problem set 7 solutions
M 2/22 diagonalization 7.4
W 2/24 complex eigenvalues & stability 7.5 & 7.6
F 2/26 flex
M 3/1 EXAM II (solutions) Chs. 4, 6 & 7
W 3/3 orthogonality 5.1 Problem set 8
F 3/5 the Gram-Schmidt orthonormalization process 5.2
M 3/8 orthogonal transformations & inner product spaces 5.3 & 5.5
W 3/10 least squares & data fitting 5.4
F 3/12 reading period
Tues 3/16 FINAL EXAM, 4:00 PM - 6:00 PM solutions


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