Chabot College
Fall 2004
Replaced Fall 2010
Course Outline for Mathematics 6W
ELEMENTARY LINEAR ALGEBRA WORKSHOP
Catalog Description:
6W – Elementary Linear Algebra Workshop
.25 - .5 units
Laboratory, study group, collaborative workshop or computer laboratory time for Elementary Linear
Algebra. Corequisite: Mathematics 6. 1 - 2 hours laboratory.
[Typical contact hours: 17.5-35]
Prerequisite Skills:
None
Expected Outcomes for Students:
Upon completion of the course, the student should be able to:
1.
2.
3.
read and write the mathematics used in Elementary Linear Algebra;
use technology currently used in Elementary Linear Algebra;
solve problems on their own and with peers without having to rely on an instructor.
Course Content:
1.
Applications of principles and concepts
Methods of Presentation:
1.
2.
3.
Individual instruction
Collaboration
Computer-assisted/graphing calculator instruction
Assignments and Methods of Evaluating Student Progress:
1.
2.
Typical Assignments
a.
Find the standard matrix for the stated composition of linear operators on R2.
1)
A rotation of 90, followed by a reflection about the line y = x.
2)
An orthogonal projection on the y-axis, followed by a contraction with factor k = 0.5.
3)
A reflection about the x-axis, followed by a dilation with factor k = 3.
b.
Let V be an inner product space. Show that if w is orthogonal to both u1 and u2, it is
orthogonal to k1u1 + k2u2 for all scalars k1 and k2. Interpret this result geometrically in the
case where V is R3 with the Euclidean inner product.
Methods of Evaluating Student Progress
a.
Attendance
b.
In–class assignments
Textbook(s)(typical)
Elementary Linear Algebra, Howard Anton, John Wiley Publishers, 2000
Special Student Materials:
None
SC:al
revised: 10/16/03