**MA 2071 C98 Linear Algebra**

__ General Information__

**instructor**: John Goulet,PhD **email**: goulet@wpi.edu
**phone**: 831-5036 **office**: SH 201A

**text**: Kolman *Linear Algebra with Applications *(6^{th}
ed) Prentice-Hall

**conferences**: Weds 8:00

**Office Hours**: Mondays& Fridays 9-12, 1-2 Weds
5-6 **office**: SH 201A

**TA**: Elena Volkova __lvolkova@wpi.edu__
(grades projects) office hours Monday 12-2:00 **office: **SH 104

__Course Goals:__

**General**: develop skills and abilities that contribute to career
development(engineer, scientist, manager . . .). These include communication,teamwork,
interpretation of data, use and understanding of mathematical models, and
effective use of technology.

**Mathematical**:

** concepts: **

**Part One**:

solutions of linear systems

matrix algebra

**Part Two**:

vector spaces

basis & coordinates.

Orthogonality and orthogonal basis

**Part Three**:

diagonalizing matrices A = P D P^{-1}

The Principal Axis Theorem & eigenvalues

** skills**: solving
linear systems - Gauss Jordan elimination

nature of solutions: when do they exist? what kind?

matrix computations

reducing matrices to RREF

matrix multiplication; inverses

matrix algebra

diagonalizing square matrices

using software effectively

** applications**: using and analyzing linear
mathematical models - see

especially dynamic linear systems **x(k+1)
= A x(k**)

interpreting solutions

**Teams: **work on projects (below), math problems. Size 3 or 4.
Form one asap!

prepare for weekly quiz on Friday

fundamental goal: to have all members achieve *better* results
than if they had worked individually

**Projects**:vehicle for studying mathematical models in areas of
interest

1 per week for 5 weeks

product is a written report, 1 per team, turned in on **Tuesdays**

usually require use of **software **for accuracy and time saving
– **your choice**

(Maple, Mathematica, Mathcad . . .) Maple notes on Web.

**Weekly Schedule**

Mondays - lecture

Tuesdays – turn in project, lecture

Weds (conference) – get back quiz, review, get mock quiz

Thursday – in class work in teams

Friday – quiz in 2^{nd} half of class

**Other Scheduling Notes**:

We will have covered all material by the end of the **6 ^{th}**
week.

There will be a *comprehensive final exam* on skills & concepts
on Tuesday of the last week of the course. There will be no project work
due the last week.

**Time Investment: **it is assumed that you are willing to spend
15-20 hours per week on this course, *including* class time. Anything
that makes this more efficient for you, from cooperative learning to scheduling
is welcome and will be used. Please feel encouraged to use all resources
(team, materials, instructor, class time) to make the best use of your
time.

**Grade**:

**quizzes (5) 40%**

**final exam 20%**

**projects (5) 40%**

**other**: **5** point **bonus** on total grade if you attend
**all** classes. Additionally, you must have a passing grade on the
quiz/final portion of the course in order ** to pass the course**,

a **3** point **bonus** on the total grade is possible if the
overall score for your ** team **is