AcademicsLinear Algebra

Instructor: Matt Ollis, Sci 218, matt@marlboro.edu

Timetable: MWF 10:30 - 11:20 Sci 217

Course Outline: Linear Algebra is important for its remarkable demonstration of abstraction and idealization on the one hand, and for its applications to many branches of math and science on the other. We will focus our study on n-dimensional real space, considering notions such as systems of linear equations, spanning sets, linear independence and the matrix representations of linear transformations. The course will follow the first seven chapters of Elementary Linear Algebra (5th ed.) by Larson, Edwards and Falvo (the 4th edition by Larson and Edwards is essentially the same, but if you use this edition you will have check the numbering of the homework assignments).

The final two weeks will be given over to students to pursue a topic of interest further. Possibilities for this part of the course include connections to the Differential Equations course, the matrix representations of symmetries, consideration of complex or finite spaces, and others.

Prerequisite: EMLS or equivalent

Grades: Your grade will be calculated as follows: Final exam 40%, and 20% each for in-class quizzes, weekly homeworks and project work. Class participation and prompt submission of homework are expected. Your overall grade may move up or down a small amount due to these factors.

Homeworks: Bold numbered problems in the Assignment Responsibility section below are to be handed in for grading. Plaintext numbered problems are more drill and practice material that should be worked through to keep up with course material. By 4pm each Friday you are expected to hand in your solutions to the appropriate bold numbered questions (exactly which questions these are will be announced during the previous week). You may wish to discuss any assignments that you find difficult with me or the math tutor.

Office hours: TBA

Tutoring: Julie Shumway (jshumway@marlboro.edu)

Assignment Responsibility. The following question numbers are from the 5th edition of Elementary Linear Algebra. If you have the 4th edition then you should check the copy on the reserve shelf in the library to make sure that you are attempting the right questions. The chapter material is the same, except that Section 3.5 in the 5th edition is Section 3.4 in the 4th.

1.1: 1-17 (odd), 18, 27-45 (odd), 59, 60, 67, 69, 71, 72.

1.2: 1-29 (odd), 43, 44, 49, 50, 53, 54, 59.

1.3: 1, 3, 4, 13, 19.

Chapter 1 review: 1-45 (odd).

2.1: 1, 3, 5, 6, 7-17 (odd), 18, 21-25, 26, 33-36, 37.

2.2: 1-15 (odd), 16, 17-25 (odd), 29, 30, 31-33, 34, 35, 36, 37, 45, 46, 49, 51, 53, 54, 55, 57.

2.3: 1-11 (odd), 12, 13-19 (odd), 25, 27, 31, 33, 35, 39, 40, 43, 45, 49, 57.

2.4: none

2.5: 1, 3, 4, 5, 13, 31bc, 32bc.

Chapter 2 review: 1-33 (odd), 39-45 (odd), 57-61 (odd).

3.1: 1-29 (odd), 30, 31, 33, 41, 43, 45, 46, 47, 48, 49, 51, 52, 55.

3.2: 1-19 (odd), 20, 21-27 (odd), 28, 29, 31, 32, 33-37 (odd), 40.

3.3: 1-13 (odd), 14, 19-29 (odd), 35, 37, 38, 41, 43, 47, 49, 50.

3.4: none

3.5: 17-31 (odd), 32, 39-51 (odd), 52, 53-61 (odd)

Chapter 3 review: 1-41 (odd), 55-63 (odd).

Quiz: Wed 23rd Feb. You might want to practise on the 'Cumulative Test', p. 172.

4.1: 1-21 (odd), 22, 25-35 (odd), 36, 37, 41, 49, 50, 51, 53.

4.2: 1-25 (odd), 26, 27, 29, 31, 32, 35, 36, 37.

4.3: 1, 3, 7-13 (odd), 14, 15, 17, 19, 20, 21, 25, 28, 29, 32.

4.4: 1-13 (odd), 14, 15-27 (odd), 28, 29, 31, 33, 34, 35-41 (odd), 45, 49, 55, 56, 59.

4.5: 1-27 (odd), 28, 29-33 (odd), 34, 35-55, 56, 57, 59, 60, 64, 65.

4.6: 1-11 (odd), 12, 13-23 (odd), 33, 35, 39. 40, 41, 45, 51, 52.

4.7: 1-19 (odd), 23, 25, 26, 29, 30, 33, 34, 35, 36.

4.8: none

Chapter 4 review:

Mini-Project 1: Chapter 4, Project 2 - Direct Sums (due Wed 30th March).

5.1: 1-13 (odd), 14, 15-21 (odd), 22, 23-29 (odd), 30, 31, 45-51 (odd), 52, 53-61 (odd), 62, 69, 73, 75, 77, 79, 80, 82.

5.2: 1-7 (odd), 8, 13-27 (odd), 28, 41, 43, 51, 53, 59, 60.

5.3: 1-9 (odd), 10, 13-19 (odd), 20, 21, 23, 24, 25-31 (odd), 37, 38, 43, 45, 46, 47, 55, 56 (second part).

5.4: 1, 3, 4, 5.

5.5: 1-7 (odd), 8, 13, 15, 19, 23, 24, 25-30.

Chapter 5 review: 1-25 (odd), 31, 35, 37, 39, 49, 51.

Quiz: Wednesday April 13th. Check out the cumulative test on p. 349.

6.1: 1-15 (odd), 16, 17-23 (odd), 27, 28, 35, 37, 39, 40, 41, 42, 43, 45, 49, 50, 51, 52, 59, 63.

6.2: 1-9 (odd), 10, 11-19 (odd), 43, 45, 47, 48, 49, 50.

6.3: 1-5 (odd), 6, 9,11, 13, 17, 18, 29, 31, 32, 33, 35, 36, 37, 39, 41, 42, 43, 45, 56, 57.

6.4: 1-7 (odd), 8, 9-14, 16, 21, 27.

6.5: none

Chapter 6 review: 1-51 (odd).

Mini-Project 2: Chapter 6, Project 1 - Reflections in the Plane (I).

7.1: 1-13 (odd) 14, 15-23 (odd), 33-36, 37, 43, 45, 46, 47.

7.2: 1, 2, 3, 5, 9, 13, 15, 16, 17, 19, 21, 23, 27, 31, 33, 34, 37.

7.3: 1-7 (odd), 8, 13, 15, 17, 21, 22, 23, 25.

7.4: 1, 2, 3, 5, 6, 7.

Chapter 7 review:

Final Project: No project work will be accepted after 4pm on Wed May 4th.