[Top][Home]Instructor: Alex Degtyarev
Office: SA 130
Phone: x2135
Mail:no spam
The (common) make-up will take place on May 24 at 3:30, meeting at my office
(SA-130). Please, keep in mind that I will not grade your make-up paper unless
I have a report!
You can see your final papers on May 25 at my office.
Final grades will be submitted on May 25 after 17:30. Obviously,
no changes afterwards!!![Top][Home]
Geometric vectors: definition, dot- and cross-product, length, angle, etc.
Lines and planes in the space: general equations in various forms;
finding an equation from various data (line through 2 points, plane through
3 points, etc.)**
Various distance and angle related problems
(distance from a point to a line or a plane, angle between
lines, planes, etc.)**
Euclidean n-space: the concept, arithmetics, matrix notation,
the Cauchy-Schwartz inequality and its applications,
extending the geometric notions (norm, angle, Pythagorean theorem, etc.)
Linear transformations: definition (and understanding), properties,
relation to matrices and linear systems, one-to-one and onto transformations,
invertibility and the inverse transformation
Eigenvalues and eigenvectors
General vector spaces: definition, examples,***
basic properties
Subspaces: detecting a subspace, solution (null-) space,
span (including the notion of linear combination); representing the
solution space as a span
Grading policy *
I will take off a few (2-3) points for arithmetical mistakes. However,
a lot of points will be taken off for `obvious'
mistakes, i.e., either those that you can easily avoid or those
showing a deep misunderstanding of the subject. This includes, but
is not limited to, the following:
Wrong dimension in a physical problem
Things that don't make sense (like operations on matrices of incompatible
sizes, determinants of non-square matrices, etc.)