## Math 272 Spring 2013 Schedule (Syllabus)

### Prof. Tanya Leise   MWF 9am Mudd 205 plus Thurs 9am Webster 102

Text: Custom version of Linear Algebra with Applications by Gareth Williams (available at Amherst Books)

 Date Topic Assigned Work and Links Due Date 1/24-1/25 Th Overview of course Lab #1 in Webster 102 Mathematica Help Sheet F 1.1 Matrices and systems of linear equations 1.2 Gauss-Jordan elimination Set 1 (p11): 11c, 12d, 13c Set 2 (p20): 6ace, 8ac, 10a, 11ab, 13abc Note: solutions are at end of chapter (p65) Wed 1/30 1/28-2/1 M 1.3 Vector space Rn 1.4 Subspaces of Rn Set 3 (p30): 9ac, 10ac, 11ac Set 4 (p): 1a, 2d, 3abcd, 4, 8, 11abc Fri 2/1 W 1.5 Basis and dimension in Rn Set 5 (p41): 2, 3ad, 6a-f, 8bc, 11ab, 16, 17, 19ac Mon 2/4 Th Lab #2 Curve fitting F 1.6 Dot product, angle, norm 1.7 Traffic flow Set 6 (p52): 4c, 8c, 11c, 13b, 17d, 21, 24, 34 Set 7 (p61): 16 Wed 2/6 2/4-2/8 M 2.1 Matrix addition and multiplication Set 1 (p85): 5a-f, 8a-d, 15a, 18 Note: solutions are at end of chapter (p170) Fri 2/8 W 2.2 Properties of matrix operations Set 2 (p96): 3, 12abc, 14ac, 15, 17, 23, 24ac, 26, 27, 33, 36, 40, 42 Mon 2/11 Th Lab #3 Concrete mixes F 2.3 Symmetric matrices Set 3 (p108): 1ef, 7, 9, 10, 11a-d, 14, 16ac, 20, 21, 23, 28a Wed 2/13 2/11-2/15 M 2.4 Matrix inverse Set 4 (p120): 5a, 7a, 8a, 10, 12ac, 26, 27, 32, 33bdf Mon 2/18 W 2.5 Matrix transformations Set 5 (p133): 5bg, 8bd, 10a, 12ab, 14, 19, 20, 21 Wed 2/20 Th No class Hill cipher worksheet and Mathematica file Optional reading: Lester Hill's 1929 article on his cipher F No class 2/18-2/22 *Wed and Thurs schedule reversed this week M 2.6 Linear transformations Set 6 (p143): 2, 4b, 12b, 13d, 16, 19, 21, 26, 34ab, 37 Fri 2/22 W Lab #4 Leontief model (section 2.7) and generation of fractals in Webster 102 Th 2.8 Markov chains in Mudd 206 Set 8 (p156): 2, 6 Wed 2/27 F Review 2/25-3/1 M Exam 1 W 3.1 Intro to determinants 3.2 Properties of determinants Set 1 (p188): 12, 15 Set 2 (p197): 6ac, 8a-f, 9a-f, 10ac, 19, 20, 22 Note: solutions are at end of chapter (p229) Wed 3/6 Th Lab #5 Geometry and determinants F 3.3 Determinants and Linear Systems Set 3 (p205): 3ab, 5ac, 8ab, 13ab, 15, 23 Fri 3/8 3/4-3/8 M 3.4 Eigenvalues and eigenvectors Set 4 (p213): 2, 9, 10, 24, 26, 28, 29, 34a Mon 3/11 W 3.5 Google Page Rank General info on Google Google handout #5, 7, 8, 9 Wed 3/13 Th Lab #6 Google F Finish Google application 3/11-3/15 M 4.1 General vector spaces Set 1 (p242): 8, 14, 26a-d, 27a-d, 30, 36 Note: solutions are at end of chapter (p318) Mon 3/25 W 4.2 Linear combinations and span Set 2 (p250): 3a, 8a, 9a, 11ab, 17, 19abc Wed 3/27 Th Lab #7 Parking lots F 4.3 Linear independence Set 3 (p256): 4b, 6a, 8a,9ac, 10, 15ab, 17a-e Fri 3/29 3/16-3/24 Spring Recess 3/25-3/29 M 4.4 Properties of bases Set 4 (p263): 1a, 6a, 7, 11, 15e, 17de, 19a, 20a, 21d Mon 4/1 W 4.5 Rank Set 5 (p273): 2abc, 4ac, 8, 10b, 11abc, 16 Fri 4/5 Th Lab #8 GPS F 4.6 Projections Set 6 (p284): 2ab, 3a, 6e, 9, 10, 13a, 16a Mon 4/8 4/1-4/5 M Review Proof-writing tips More proof-writing strategies W Exam 2 Th Lab #9 Gram-Schmidt F 4.7 Orthogonal complement Set 7 (p292): 1a, 6, 12 Fri 4/12 4/8-4/12 M 4.8 Kernel, range, rank/nullity theorem Set 8 (p302): 4, 7, 13, 14, 15ac, 16bc, 20, 23abc, 29, 32, 36, 39 Mon 4/15 W 4.9 One-to-one transformations 4.10 Transformations and linear systems Set 9 (p308): 1abc, 2ac, 4ac, 6, 7 Set 10 (p315): 5, 12 Wed 4/17 Th Lab #10 Pipes Pipes diagram F 5.1 Coordinate vectors Set 1 (p340): 2, 6, 10, 12, 13, 16, 21, 23, 25, 27, 28 Note: solutions are at end of chapter (p376) Fri 4/19 4/15-4/19 M 5.2 Matrix representations of linear transformations Set 2 (p348): 6, 11, 13, 14, 16a, 20 Mon 4/22 W More on matrix reps Th Lab #11 Portfolio analysis F 5.3 Diagonalization Set 3 (p361): 3ac, 5a, 7a, 9a, 11a-f, 13a, 16 Fri 3/26 4/22-4/26 *Wed and Thurs schedule reversed this week M 6.1 Inner product spaces Set 1 (p390): 1, 4, 6, 8a, 9a, 10, 16a, 17a, 18a, 21a, 26ad Mon 4/29 W Lab #12 Fibonacci sequence in Webster 102 Th 6.3 Approximation of functions in Mudd 206 Set 3 (p404): 1, 6 Fri 5/3 F 6.4 Least squares Set 4 (p415): 1, 9, 36, 41ab Mon 5/6 4/29-5/3 M Review Sample proof and proof problems for practice W Exam 3 Th Lab #13 Least squares F 7.6 Singular value decomposition Set 6 (p471): 13, 17, 21, 38 Note: solutions are on p475 Wed 5/8 5/6-5/8 M Finish SVD W Review Math Dept final exam webpage (look for Math 21, 22, 271, 272 exams) Final Exam: Sat May 18 9am-noon Merrill 2