(from course web page, URL= http://www.math.uic.edu/~tier/M310) Course SYLLABUS -- Math 310:Applied Linear Algebra--C. Tier, Fall 01 12pm MWF, 220 Taft (call# 64399) last revised, 10Sept01 INSTRUCTOR: Charles Tier Office: 720 SEO, phone: 996-2442 , email: tier@math.uic.edu Office hours: 10am MW , 1pm F ---or call/drop by/make appt. GRADING: Exam 1 25% Chapters 1-3 Fri 12 October Exam 2 25% Chapters 4-5 Fri 9 November Final 40% Chapter 6 Fri 7 Dec, 8-10 am Homework 10% see table below weekly (Due Mondays) and quizzes Cutoff for A is 90% average, 80% for B, 70% for C, 60% for D. TEXT: Steven J. Leon, Linear Algebra with Applications, Prentice-Hall, 6th edition, 2001 *** NEW EDITION PREREQUISITE: A grade of C or better in Math 210. QUIZZES: Short quizzes may be given on certain Mondays in place of turning in the homework. The quizzes will be announced in advance and will be based on the homework problems from the previous week. Remember you are still responsible for all the homework problems assigned. HOMEWORK: Below is a tentative course schedule. Homework for a given week will be collected the following Monday. Selected problems will be graded. In parentheses are problems to be solved using MATLAB, available on the campus PCs. Matlab is useful for ALL the homework. Week Date Topics Section Problems ---------------------------------------------------------------- ..........CHAPTER 1.......Matrices and systems of equations 1 Aug 20 LinSys;ROW OPS 1.1 1ab,5,6ad Aug 22 Echelon form.. 1.2 1,2a-d,3 Aug 24 Gauss,G-Jordan 1.2+ 5a-d,6ab (p.92:2b) ---------------------------------------------------------------- 2 Aug 27 Applications... 1.2+ 13,17,20* (* = book answers wrong---see web page) Aug 29 Matrix mult 1.3 1a,h;2,10,12,33 Aug 31 Elem Matrices 1.4 1,3,5 ******(LAST day to drop course)******** ---------------------------------------------------------------- (Sep 3===LABOR DAY *** HOLIDAY) 3 Sep 5 ..LU-decomp.. 1.4+ 6,7 (Sec 7.2:1,2) Sep 7 ...inverses 1.4+ 8,9a-f,11 ---------------------------------------------------------------- ...........CHAPTER 2.......Determinants................ 4 Sep 10 Defn,cofactors 2.1 3,4,6 Sep 12 Properties 2.2 1,3,7,10 (p.121:1a-d) Sep 14 Cramer's rule 2.3 1ac,2abc ---------------------------------------------------------------- ...........CHAPTER 3.......Vector Spaces............... 5 Sep 17 Defn,examples 3.1 3,4,5,6(laws A1-A3) Sep 19 Subspace... 3.2 1ab,2ab,3abc,4,5abc,8ab Sep 21 ...span 3.2+ 11 ---------------------------------------------------------------- 6 Sep 24 ...spanning set 3.2+ 9ac,10abc,13,14 Linear indep 3.3 1abc,2abc,4b Sep 26 ..cont'd 3.3+ 6ab, omit-Wronskian Sep 28 Basis ... 3.4 3,5,7,8,10 ---------------------------------------------------------------- 7 Oct 1 ...dimension 3.4+ 11,12ab,14ab Oct 3 Change of basis 3.5 1a,2a,3a Oct 5 ..cont'd 3.5+ 5,6 (p.184:1ab) ---------------------------------------------------------------- 8 Oct 8 row,col space 3.6 1ab,2ab,3,4cd,8 Oct 10 Review Oct 12 ***EXAM 1**** Ch 1-3 **Hour Exam 1** ---------------------------------------------------------------- 9 ...........CHAPTER 4......Linear Transformations....... Oct 15 Lin Transf 4.1 5ac,6ab,7bc,8ac,16 Oct 17 ...matrix for 4.2 2ab,3ab,12,16 (p.220:1) ...........CHAPTER 5......Orthogonality................ Oct 19 Scalar product 5.1 1ab,3ab (p.307:1) Orthog subsp 5.2 1ab,2,3b,4 ---------------------------------------------------------------- 10 Oct 22 Least squares 5.3 1,2,3a,4a Oct 24 ...cont'd 5.3+ 5,6 (p.308:3) Oct 26 Inner products 5.4 3,4ab,7,8 ---------------------------------------------------------------- 11 Oct 29 Orthon. bases 5.5 1,2,3,8 Oct 31 ...cont'd 5.5+ 19,20,25 Nov 2 Gram-Schmidt 5.6 1,3,4 ---------------------------------------------------------------- 12 Nov 5 ..QR-decomp 5.6+ 2,5,7,8 (p.309:4) Nov 7 Review Nov 9 **EXAM 2*** Ch 4-5 **Hour Exam 2** ---------------------------------------------------------------- ...........CHAPTER 6......Eigenvalues and Diagonalizing... Nov 12 Eigenvalues 6.1 1abcfghijl (p.413:1) 13 Nov 14 Application: 6.2 1ab,2ab Nov 16 ...DiffEqSys 6.2+ 4 ---------------------------------------------------------------- 14 Nov 19 Diagonalizing 6.3 1abde,2ab,3ab,8ab Nov 21 (Appl1=Markov) 6.3+ 19,20,24ab (Nov 23===THANKSGIVING *** HOLIDAY) ---------------------------------------------------------------- 15 Nov 26 Symmetric... 6.4 1a,2,4ace Nov 28 SpectralDecomp 6.4+ 5abdef Nov 30 Review --- ----- ---------------------------------------------------------------- 16 Dec 7 ***FINAL EXAM*** 8-10am F3 LC ----------------------------------------------------------------