Monica VanDieren Dept of Mathematics Office: John Jay 318 Email: mylastname at rmu dot edu URL: http://academics.rmu.edu/~vandieren/index.htm

Office hours: other times not listed below by appointment Mondays 2-3 and 4-5 Wednesdays 11-12 Fridays 11-12 and 2-3

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Schedule

Date Topics Event Mon, Aug 28 Population Models   Wed, Aug 30 More population models Introduction to Matrices   Fri, Sept 1 1.1, 1.2, 1.3, 1.4 Matrix Operations and Graphical representation of systems of equations (linear and non-linear)   Mon, Sept 4 Labor Day No Class   Wed, Sept 6 1.6 Solving Systems of Linear Equations: Graphical representation of row operations and Intro to Gauss Jordan Elimination Reading assignment: Section 1.6 Fri, Sept 8 1.6 and 1.7 Solving Systems of Linear Equations: using Gauss Jordan Elimination (systems with many and no solutions) Inverses Reading assignment: Section 1.5 Matrix Transformations Mon, Sept 11 1.5 Matrix Transformations 2D Matrix Transformation 2d Demo Reading assignment: Section 1.5 Matrix Transformations Wed, Sept 12 1.5 Matrix Transformations continued   Fri, Sept 14 More matrix transformations Reading Assignment: Sections 2.1 and 2.2 Webwork Homework 2 is due. Mon, Sept 18 Project 2 presentations from groups 1 and 2 Class in the Media Viewing Room (top floor of library) Reading assignment: Sections 2.3 and 2.4 Wed, Sept 20 Project 2 presentations from groups 3 and 4 Class held in Media Viewing Room (top floor of library) Reading assignment Section 2.5 and 2.6 Fri, Sept 22 Project 2 presentations from groups 5 and 6. Class held in our regular classroom. TBA Mon, Sept 25 Matrix Transformations and the concepts of composition, one-one and onto. Project 3 Distributed (due Mon, Oct 2) Click here for corrected version. Wed, Sept 27 Determinants Chapter 3 Section 1 Read all of chapter 3 Webwork homework 4 assigned Fri, Sept 29 Go over Homework questions Read Chapter 4 Sections 1 and 2 Mon, Oct 2 More on Determinants Chapter 3 Sections 2 and 3 Read Chapter 4 Sections 1 and 2 Wed, Oct 4 More on Determinants Chapter 3 Sections 2 and 3   Fri, Oct 6 Review for exam   Mon Oct 9 Midterm   Wed, Oct 11 Go over midterm Read sections 4.1 and 4.2 and bring questions to class on Friday Suggested problems: Section 4.1 problems 3, 8, 13, 17, 19, 21, 24-26 Section 4.2 problems 2, 3, 13, 15-17, 20, 23-25, 32 Fri, Oct 13 Sections 4.1 and 4.2 on vectors Webwork 5 assigned Read section 4.3 and come to class on Monday with questions Mon, Oct 16 Section 4.3 on Linear Transformations Read sections 6.1 and 6.2 and come to class on Wednesday with questions Webwork 6 assigned. Suggested problems: Section 4.3 problems 2, 3, 4, 8, 13, 15, 17, 19, 21, 25, 27, 29, 30 Wed, Oct 18 Section 6.1 on Vector Spaces Read sections 6.2 and 6.3 and come to class on Friday with questions Fri, Oct 20 Section 6.1 and 6.2 on vector spaces and vector subspaces. Read section 6.3. Suggested problems: Section 6.1 problems 9, 10, 20 Section 6.2 problems 1, 2, 3, 5, 9, 14, 16, 18, 20, 22, 23, 25, 26, 27 Mon, Oct 23 Section 6.2 and 6.3 on linear independence. Webwork 5 is due. Webwork 6 is due. Project 4 is due. Suggested problems: Section 6.3 problems 3, 4, 7, 9, 11-16. Read section 6.4. Wed, Oct 25 Section 6.4 on basis and dimension Suggested problems: Section 6.4 problems 3, 5, 6, 7, 9, 11, 13, 14, 16, 17, 21, 32, 33, 34 Read Section 6.5 Re-work problems 2 and 3 from Project 4 Fri, Oct 27 Section 6.5 Homogeneous Systems   Mon, Oct 30 Section 6.6 Row, Column and Null Spaces Webwork 7 is due. Webwork 8 is due. Project 5 is due. Project 4 resubmissions of problems 2 and 3 due. Wed, Nov 1 Finding a basis for the intersection of 2 subspaces   Fri, Nov 3 Finish up the intersection worksheet   Mon, Nov 6 Section 6.7 Changing basis Suggested problems: Section 6.5 problems 1, 3, 7, 11 Section 6.6 problems 1-11 (odds), 18-22, 23, 26, 28, 30, 34 Section 6.7 problems 1-13 (odds), 19 Wed, Nov 8 Section 6.8 orthonormal basis   Fri, Nov 10 Section 6.9 orthogonal complements   Mon, Nov 13 More work on Chapter 6 Webwork 9 is due. Webwork 10 is due. Project 6 is due. Wed, Nov 15 More work on Chapter 6   Fri, Nov 17 Midterm 2   Mon, Nov 27 Section 7.2 Least Squares   Wed, Nov 29 Section 8.1 Eigenvalues and Eigenvectors and applications to population models   Fri, Dec 1 Section 8.2 Diagonalization and applications to Markov Chains   Mon, Dec 4 The Google Matrix   Wed, Dec 6 TBA Project 7 is due. Fri, Dec 8 Review for final Project 8 is due. Thurs, Dec 14 Final Exam Time: 1:30-3:30