MATH 115 – Linear Algebra for Engineers Fall 2010
Objectives
:
MATH 115 is an introduction to abstract vector spaces, the algebra and
geometry of
R
n
, and the abstract theory of vector spaces.
We approach the material
through a blend of theoretical ideas and computational methods, such as Gaussian
elimination for solving systems of linear equations.
Various applications are also
studied.
Text
:
Linear Algebra with Applications,
6
th
Edition, Keith Nicholson.
Course Home Page
:
Information about the course will be posted on the course web
page, on UWACE
Summary
:
1. Review of Vectors Chapter 4, Sections 4.1 – 4.2
2. Linear Equations Chapter 1, Sections 1.1 – 1.6
2. Matrix Algebra Chapter 2, Sections 2.1 – 2.5
3. Determinants Chapter 3, Sections 3.1 – 3.3
4. Linear operators Chapter 4, Section 4.4.
5. Real Vector Spaces Chapter 5, Sections 5.1 – 5.5
6. Orthogonality Chapter 8, Sections 8.1, 8.2
7. Abstract Vector Spaces Chapter 6, Sections 6.1 – 6.4
8. Complex Numbers Appendix A
Final Mark
s:
Labs
15%
Midterm test
20%
Final Exam
65%
Calculators are not permitted on the midterm or on the Final.
Midterm date:
Thursday
October 21, 7 to 9 pm (to be determined)
Tutorials and Labs
:
In addition to 3 lecture hours, there is a twohour tutorial scheduled
each week.
Each week, a 2 hour Lab assignment will be handed out.
•
The lab
will normally contain questions related to the material presented in the
week preceding the lab
. For example the lab given in week 6 covers material
presented in week 5.
Each Friday the instructor will specify which material will be
covered on the lab either in class or via the Ace webpage.
•
Students must complete this lab assignment during the Lab period. You may work in
groups, and ask the TA for help, but you must hand in your own assignment.
•
The best way to prepare for these labs
is to work out,
before the lab
, all the assigned
exercises listed below. They are meant to enhance understanding and to help you
absorb the material.
Mathematics is a skill developed by working out problems.
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:
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 Spring '07
 DUNBAR
 Math, Linear Algebra, Algebra, Geometry, Vector Space, OPD

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