MA 2071 C98 Linear Algebra
instructor: John Goulet,PhD email: email@example.com phone: 831-5036 office: SH 201A
text: Kolman Linear Algebra with Applications (6th ed) Prentice-Hall
conferences: Weds 8:00
Office Hours: Mondays& Fridays 9-12, 1-2 Weds 5-6 office: SH 201A
TA: Elena Volkova firstname.lastname@example.org (grades projects) office hours Monday 12-2:00 office: SH 104
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.
solutions of linear systems
basis & coordinates.
Orthogonality and orthogonal basis
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?
reducing matrices to RREF
matrix multiplication; inverses
diagonalizing square matrices
using software effectively
applications: using and analyzing linear mathematical models - see Projects below
especially dynamic linear systems x(k+1) = A x(k)
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.
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 2nd half of class
Other Scheduling Notes:
We will have covered all material by the end of the 6th 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.
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, regardless of project grades. This means that your overall score for the quiz/final portion must be at least 70. You cannot pass the course if you do not have a minimal understanding of and competence with linear algebra.
a 3 point bonus on the total grade is possible if the overall score for your team is greater than the class average. This score is computed from quizzes and the final exam with quizzes counting twice as much as the final. In such a case, each member of the team would receive 3 additional points on their final grade. So help the people in your team and everyone wins!