(from course web page, URL= http://www.math.uic.edu/~smiths/courses/m310) Course SYLLABUS -- Math 310:Applied Linear Algebra--S. Smith, Fall 06 10am MWF, 220 Stevenson Hall (CRN = 22632) last revised: fixed typo re HW #13, 26nov06 INSTRUCTOR: Stephen D. Smith Office: 536 SEO, phone: 413--2165 , email: smiths@math.uic.edu Office hours: 9am MF , 11am W ---or call/drop by/make appt. GRADING: Exam 1 25% Chapters 1-3 Wed 18 October Exam 2 25% Chapters 4-5 Fri 17 November Final 40% (mainly Chapter 6) Wed 13 Dec, 9-11 am *CHANGE Homework 10% see table below weekly (due Mondays) 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, 7th edition, 2005. PREREQUISITE: A grade of C or better in Math 210. CELL PHONES OFF: Cell phones must be turned OFF during class. Students with cell phones ringing in class will be dropped from the course. 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 using the computer package MATLAB, available on the campus PCs. These computer problems need not be handed in; but students should find the computer useful for ALL the homework. The commands of MATLAB are also available in OCTAVE. Week Date Topics Section Problems ---------------------------------------------------------------- ..........CHAPTER 1.......Matrices and systems of equations 1 Aug 28 LinSys;ROW OPS 1.1 1ab,5,6ad Aug 30 Echelon form.. 1.2 1,2a-d,3 Sep 1 Gauss,G-Jordan 1.2+ 5a-d,6ab (p.83:2b) ---------------------------------------------------------------- 2 (Sep 4===LABOR DAY *** HOLIDAY) Sep 6 Applications... 1.2+ 13,17*,19,20* (* = book answers now fixed---see web page) Sep 8 Matrix mult 1.3 2,10,12,30,33 (p.94:6) ******(LAST day to drop course)******** ---------------------------------------------------------------- 3 Sep 11 Elem Matrices 1.4 1,3,5 (but not 5b) Sep 13 ..LU-decomp.. 1.4+ 6,7 (Sec 7.2:1,2) Sep 15 ...inverses 1.4+ 8,10a-f,12 ---------------------------------------------------------------- ...........CHAPTER 2.......Determinants................ 4 Sep 18 Defn,cofactors 2.1 3,4,6 Sep 20 Properties 2.2 1,3,7,12 (p.111:1a-d) Sep 22 Cramer's rule 2.3 1ac,2abc ---------------------------------------------------------------- ...........CHAPTER 3.......Vector Spaces............... 5 Sep 25 Defn,examples 3.1 3,4,5,6(laws A1-A3) Sep 27 Subspace... 3.2 1ab,2ab,3abc,4,5abc,8ab Sep 29 ...span 3.2+ 11, 9ac ---------------------------------------------------------------- 6 Oct 2 ...spanning set 3.2+ 10abc,13,14 Linear indep 3.3 1abc,2abc,4 Oct 4 ..cont'd 3.3+ 6ab,7abc,8,9,10 Oct 6 Basis ... 3.4 3,5,7,8,10 ---------------------------------------------------------------- 7 Oct 9 ...dimension 3.4+ 11,12(abd),14ab,16 Oct 11 Change of basis 3.5 1a,2a,3a,4 Oct 13 ..cont'd 3.5+ 5,6,9 (p.170:1ab) ---------------------------------------------------------------- 8 Oct 16 row,col space 3.6 1ab,2ab,3,4cd,8 Oct 18 ***EXAM 1**** Ch 1-3 **Hour Exam 1** ...........CHAPTER 4......Linear Transformations....... Oct 20 Lin Transf 4.1 5ac,6ab,7bc,8ac,9ac,17 ---------------------------------------------------------------- 9 Oct 23 ...matrix for 4.2 2ab,3ab,4ab,13,14,15 (p.206:1) Oct 25 Similarity 4.3 1ab,2ab,4,5abc,6 ...........CHAPTER 5......Orthogonality................ Oct 27 Scalar product 5.1 1ab,3ab (p.292:1) Orthog subsp 5.2 1ab,2,3b,4 ---------------------------------------------------------------- 10 Oct 30 Least squares 5.3 1,2,3a,4a Nov 1 ...cont'd 5.3+ 5,6 (p.292:2,3) Nov 3 Inner products 5.4 3,4ab,7,8,9 ---------------------------------------------------------------- 11 Nov 6 Orthon. bases 5.5 1,2,3,8 Nov 8 ...cont'd 5.5+ 21,22,27 Nov 10 Gram-Schmidt 5.6 1,3,4 ---------------------------------------------------------------- 12 Nov 13 ..QR-decomp 5.6+ 2,5,7,8 ...........CHAPTER 6......Eigenvalues and Diagonalizing... Nov 15 Eigenvalues 6.1 1abcfghijl (p.399:1) Nov 17 ***EXAM2*** Ch 4-5 **Hour Exam 2** ---------------------------------------------------------------- 13 Nov 20 Application: 6.2 1ab,2ab,4 Nov 22 ...DiffEqSys 6.2+ 5a,6 Nov 24===THANKSGIVING *** HOLIDAY) ---------------------------------------------------------------- 14 Nov 27 Diagonalizing 6.3 1abde,2ab,3ab,8ab Nov 29 (Appl1=Markov) 6.3+ 20,21,26ab (p.400:10) Dec 1 Symmetric... 6.4 1a,2,4ace ---------------------------------------------------------------- 15 Dec 4 SpectralDecomp 6.4+ 5abdef Dec 6 Quad Forms 6.6 1ab,6acef Dec 8 Positive Def 6.7 1ac,4ac,5a (p.404:23) ---------------------------------------------------------------- 16 WED-Dec 13 **FINAL EXAM, 8-10am*** (all, but mainly Ch 6) ----------------------------------------------------------------