Syllabus Math 2940 Linear Algebra Fall 2013 week day read subject problems due this week 1------- ------------------------------------------------------------------- --------------------- W 08/28 1.1 linear systems 1,10,25,33,34 nothing F 08/30 1.2 row reduction 4,5,23,33 2------- ------------------------------------------------------------------- --------------------- M 09/02 no class Labor Day HW1: problems listed W 09/04 1.3+1.4 vec+matrix eqn 1.3:5,7,10,14,20,27,34; 1.4:1-4,13,26,28,36 for 08/28-09/02 F 09/06 1.7 linear independence 1,2,27,35(T),36(F),38(T) 3------- ------------------------------------------------------------------- --------------------- M 09/09 1.8+1.9 lin transformation 1.8:17,18,26b,35; 1.9: 1,10,15,34 HW2: problems listed W 09/11 2.1 matrix operations 4,18,23,26,28 for 09/04-09/09 F 09/13 -review 4------- ------------------------------------------------------------------- --------------------- M 09/16 2.2 inverse 3,6,12,14,25,31 HW3: problems listed W 09/18 2.6 Leontief econ model 5,10,11,12 for 09/11-09/16 F 09/20 2.7 graphics 16-19 5------- ------------------------------------------------------------------- --------------------- M 09/23 2.8 subspaces of R^n 2,7,10,23 HW4: problems listed W 09/25 2.9 dimension of subspace 1,7,9,13,20 for 09/18-09/23 F 09/27 3.1+3.2 determinant 3.1:1,10,37; 3.2:22,34,35 6------- ------------------------------------------------------------------- --------------------- M 09/30 4.1+4.2 vector space 4.1:4,11,13; 4.2:2,3,15,18,31 HW5: problems listed W 10/02 4.3 linear independence, basis 1,5,6,11,13,31,34 for 09/25-09/30 F 10/04 4.4+4.5 dimension of vec space 4.4:13,17,28,37;4.5:8,9,10,13,21,23 7------- ------------------------------------------------------------------- --------------------- M 10/07 -review HW6: problems listed T 10/08 -Prelim 1- for 10/02-10/04 W 10/09 4.6 rank of matrix 32,33 F 10/11 4.8 difference applications 1,2,19,20,21,23a 8------- ------------------------------------------------------------------- --------------------- M 10/14 - Fall Break - HW7: problems listed W 10/16 4.9 Markov chain applications 3,4,7,18 for 10/09-10/11 F 10/18 5.1 eigenvalues 2,13,25,32,33 9------- ------------------------------------------------------------------- --------------------- M 10/21 5.2+appendixB eigenvalues 3,13,27 Prelim 1 corrections+ W 10/23 5.3 diagonalize 1,5,18,27 HW8: problems listed F 10/25 5.5+5.6 complex dynamics 5.5:3,9,26; 5.6:3,6 for 10/16-10/21 10------ ------------------------------------------------------------------- --------------------- M 10/28 6.1 inner product, length 11,14,18,22,24,29 HW9: problems listed W 10/30 6.2 orthogonal sets 9,11,21,26 for 10/23-10/28 F 11/01 6.3 projection to subspace 1,10,11,13,16,24 11------ ------------------------------------------------------------------- --------------------- M 11/04 -review HW10: problems listed T 11/05 -Prelim 2- for 10/30-11/01 W 11/06 6.4 Gram-Schmidt 1,12,22 F 11/08 6.5 least squares 3,11,24,25 12------ ------------------------------------------------------------------- --------------------- M 11/11 6.6 least squares 1,10a HW11: problems listed W 11/13 6.7 inner products 1,3,5,7,16,17,25 for 11/06-11/11 F 11/15 7.1 spectral theorem 1,5,7,10,14,23 13------ ------------------------------------------------------------------- --------------------- M 11/18 7.3 quadratic forms 1,3,11 Prelim 2 corrections+ W 11/20 7.4 singular value decomp 1,9,15,23 HW12: problems listed F 11/22 5.7 differential eqn 1,6 for 11/13-11/18 14------ ------------------------------------------------------------------- --------------------- M 11/25 5.7 differential eqn 8,9 nothing W 11/27 no class F 11/29 -Thanksgiving- 15------ ------------------------------------------------------------------- --------------------- M 12/02 -review HW13: problems listed W 12/04 -review for 11/20-11/25 F 12/06 -review ------ ------------------------------------------------------------------- --------------------- F 12/13 Final Exam 09:00-11:30 ------ ------------------------------------------------------------------- --------------------- Grades are based on 2 prelims (with some corrections tba), section grade, and final exam. No makeups--for some conflicts you may take a test early, tba. last modified 10/08/2013 ------ ------------------------------------------------------------------- ---------------------