## Math 571 Tentative Schedule

Winter 2010

 Monday Wednesday Friday January 4 1.1: Systems of Linear Equations Homework: 1.1:1ac,4,5,6ad,7,9,10 January 6 1.2: Row Echelon Form Homework: 1.2: 1,2ace,5af,7,8,9,10,12,15 January 8 1.3: Matrix Algebra Homework: 1.3: 1,4,10,12,13,15,16,17,18,26,28,29 January 11 1.3(Cont.), Introduction to MATLAB Homework: Redo 1.1-1.3 using MATLAB Quiz 1 January 13 Application: Computed Tomography (CAT) Project 1 Quiz 1 Due January 15 1.4: Elementary Matrices Homework: 1.4: 1,2,3,6,7,8,10af,12,15,16,21,26 January 18 No Class: Martin Luther King Day January 20 1.4(Cont.), 2.1: The Determinant of a Matrix Homework: 2.1: 1,3be,4,5,6,11 (Do not use MATLAB) Project 1 Due January 22 2.2: Properties of Determinants, 2.3: Cramer's Rule Homework: 2.2: 1,2,3ac,4,5,6,7,12,13 (Do not use MATLAB) 2.3: 2 Quiz 2 January 25 3.1: Introduction to Vector Spaces Homework: 3.1: 3,4,5,10,11,12,13,15,16 Quiz 2 Due January 27 3.2: Subspaces Homework: 3.2: 1-20 January 29 3.2(Cont.) Quiz 3 February 1 3.2(Cont.) February 3 Exam 1 Review Quiz 3 Due February 5 Exam 1 February 8 3.3: Linear Independence Homework: 3.3: 1,2,4-8,10-17 February 10 3.3(Cont.) February 12 Application: Markov Processes Project 2 February 15 Application: Random Walks on Graphs Project 3 Project 2 Due February 17 3.4: Basis and Dimension Homework: 3.4: 3,4,5,7,11,12,13,14,16,17,18 Quiz 4 Project 3 Due February 19 3.6: Row and Column Spaces Homework: 3.6: 1,2,3,6,7,18,20 February 22 5.1, 5.4: Inner Product Spaces Homework: 5.1: 3,13,16 Quiz 4 Due February 24 5.4(cont.) Homework: 5.4: 2,4a,5-10,29 February 26 Exam 2 Review Quiz 5 Due March 1 Exam 2 March 3 5.2, 5.5: Projections and Orthogonal Spaces Homework: 5.2: 1,2,4,6,13; 5.5: 1-4,6,8,9,29 March 5 5.3, 5.5: Least Squares Homework: 5.3: 1-6,9,10; 5.5:27,28,30 March 8 Application: Least Squares and Fourier Series Project 4 Quiz 6 Due March 10 5.4, 7.4: Normed Linear Spaces and Condition Numbers Homework: 5.4: 12-16,19,21,26,27; 7.4: 1-3,7,10,13,21,22,23,25,27,29 Quiz 7 Project 4 Due March 12 Last Day of Class Final Exam Review Quiz 7 Due

### Final Exams:

10:30 class: Thursday, March 18 at 9:30am-11:18am in room EA 295

11:30 class: Monday, March 15 at 11:30am-1:18pm in room EA 295