WORCESTER POLYTECHNIC INSTITUTE
MATHEMATICAL SCIENCES DEPARTMENT
MA2071 - Matrices and Linear Algebra 1
Term B’98 - October 28 - December 18
Instructor: Professor Peter R. Christopher Office: SH 305B
email: peterrc@wpi.edu Telephone: 831-5269
Office Hours: Monday, Friday - 9:00-10:00am
Tuesday - 3:00-4:00pm or by appointment.
Teaching Assistant: Elena Volkova, Office: SH 205
email: volkova@wpi.edu
Office Hours: Thursday - 3:00-4:00pm
Peer Learning Assistants: Sharad Bhojnagarivola (sharad)
Kevin Dickert (kad)
Adam Howes (ahowes)
Jen Hardy (jehardy)
Joseph Laws (cinnamon)
Jen Marinello (jmari)
Jeremy Proulx (zear)
Class Hours: MTRF - 8:00-8:50am, Perrault Hall
Conference Sessions: Section 1 Wed. 8:00-8:30 SH308
Section 2 Wed. 12:30-1:20 SH309
Section 3 Wed. 12:30-1:20 SH304
Section 4 Wed. 8:00-8:50 SH106
Text: B. Kolman; Introductory Linear Algebra with Applications, 6th edition,
Prentice Hall
Course Goals:
Grades and Requirements
Grades of A, B, C for scores in the 90s, 80s or 70s respectively will be determined as follows:
ACTIVITY % POINTS
Test I 30
Test II 30
Computer Projects 15
Class Quizzes/Homework 20
Conference Quizzes 5
Total 100
Computer Projects
Four Computer Projects are scheduled as team activities. Each 3-person team will submit one report, signed by all team members, per project.
Homework
The suggested homework problems are listed on the syllabus. Completing these exercises is essential to your mastery of the material. Homework is your responsibility, the syllabus problems will not be collected. However, quiz problems will often resemble homework problems. We may require you to pass in special homework problems, assigned with advanced notice.
Quizzes
We will have a 20 minute quiz in class on Fridays (except on 10/30). The lowest quiz score will be dropped. PLAs will also administer 5-10 minute quizzes during conference.
Tests
The two tests scheduled on the syllabus page will be given in class.
Conferences
Participation in conferences is required. In these sessions you will be actively participating in small groups in a cooperative learning environment. The PLAs are there to help you solve problems, rather than to solve problems for you.
MA 2071 - MATRICES AND LINEAR AGLEBRA I
SYLLABUS
You should complete the following exercises as each topic is covered. Please keep aware of possible changes, additions to, or omissions from the following list of topics, recommended exercises and scheduled activities.
Chapter 1 Linear Equations and Matrices
1.1 Linear Systems p.9 1, 5, 9, 11, 15, 19, 21, 23
1.2 Matrices p.16 3, 5d, 8, 7b
1.3 Dot Product and Matrix Multiplication p.30 3, 5d, 7c, 9, 13, 15, 21a, 27, 29
1.4 Properties of Matrix Operations p.44 3, 9c, 11, 15, 19, T.10, T.21
1.5 Solutions of Linear Systems of Equations p.65, 1, 3, 9a,c, 11, 19, 21, 23, T.11
1.6 The Inverse of a Matrix p.83 3, 5b, 9a, 11, 18, 21, 25, T.8
Chapter 2 Determinants
2.1 Definition and Properties p.100 11, 13, 15a,b, T.3, T.6
2.2 Cofactor Expansion and Applications p.115 3a, 15a, 19a
Chapter 3 Vectors in R2 and Rn
3.1 Vectors in the Plane p.139 7a, c, 11, 13, 17
3.2 Vectors in n Dimensions p.155 1b, 13b, 15, 21b, 25, 27a, 35
3.3 Introduction to Linear Transformations p.169 1, 13, 17, 21, 23
3.6 Lines and Planes p.192 3, 5a, 6a, 9a, 10a, 11a, 17, 19
Test I Thursday, November 19
Chapter 4 Real Vector Spaces
4.1 Real Vector Spaces p.202 1, 3, 4, 11, 15, 17
4.2 Subspaces p.210 1, 5, 11, 15, 18, 21, 23, T.7
4.3 Linear Independence p.222 5, 7, 9, 10, 12, 15, T.2, T.5
4.4 Basis and Dimension p.234 3, 5, 9, 11, 13, 19, 25, 27, T.3
4.5 Homogeneous Systems p.243 1, 5, 9, 13, 17
4.6 Rank of a Matrix p.253 1, 3, 7, 11, 17, 25, 31
4.7 Change of Basis p.265 1, 2, 3, 9, 11, 13, 15, 19, 23
4.8 Orthonormal Bases p.275 1b, 2a, 3, 5, 11, 15, 19
Chapter 5 Eigenvalues and Eigenvectors
5.1 Diagonalization p.310 1, 9, 11, 19, 23, 25, 26, T.3, T.6
5.2 Diagonalization of Symmetric Matrices p.322 1, 2b, 9, 11, 13, 17, T.1, T.4
Test II Thursday, December 17
Project Schedule
Project 1 Assigned Monday, Nov. 9
Due Monday, Nov. 16
Project 2 Assigned Monday, Nov. 16
Due Monday, Nov. 23
Project 3 Assigned Monday, Nov. 30
Due Monday, Dec. 7
Project 4 Assigned Monday, Dec. 7
Due Monday, Dec. 14