MTH 342 Linear Algebra II
Summer, STAG 162, MWF, 10:00-11:20pm
Instructor:
Prof. Juan M. Restrepo
Office/Phone: Kidder Hall 46,
(520) 990-4866 (email is best, however)
Office hours:
Wednesday, 2:30 p.m. -- 4:30 p.m.,
or by appointment.
Email:
restrepo@math.oregonstate.edu
Homepage:
www.science.oregonstate.edu/~restrepo
Prerequisites
: MTH341 or equivalent.
There are
YouTube videos to accompany the book presentation.
A text that some students might find useful (but not
required) is
Linear Algebra Done Wrong, LADW (free download) by S. Treil.
Learning Outcomes (from the Math Dept):
Upon successfully completing this course a student should,
1. recognize and give examples of abstract (real and complex) vector spaces other than
Rn.
2. be able to apply invariance of dimension to find a basis for a given finitely generated abstract
vector space.
3. be able to compute the matrix representation of a linear transformation with respect to a given
basis, and perform algebra on linear transformations.
4. determine whether a given matrix is diagonalizable and determine a diagonalizing
matrix.
5. express geometric properties of vectors and sets of vectors in an inner product space using techniques such as orthogonality, projections, and the Gram-Schmidt algorithm.
6. be able to identify classes of matrices for which all eigenvalues are real numbers.
7. be able to apply projection matrices and singular value decompositions of matrices to least square
fitting problems or other related problems.
Classnotes
You are expected to do all of the homework. One problem from each assignment is chosen for grading.
Exams:
Midterm, Scheduled for July 28. 80/200 points will come from homework problem(s) and
from the class notes. No electronics allowed (needed).
Brief Version, Midterm Solutions.
Final exam, scheduled for August 18. It is in 2 parts. It covers material of the second portion of the class. The take-home portion is found HERE .
You must hand in the take-home portion at the time of the in-class exam:
Be sure to bring the take-home portion to the in-class portion of the
final exam. No electronics allowed (needed) for the in-class portion of
the exam.
There is no make-up
midterm unless it is due to a documented emergency.
If you miss the midterm due to
the emergency, you will have the final exam count for the combined weight of the final and the midterm.
There are no make-up finals.
If you miss the final you will have to petition for an incomplete fail.
| Grading information:
|
| Homework | 100 points |
| Midterm Exam | 200 points |
| Final Exam | 200 points |
| Total points possible | 500 points |
| The
grading scale for the course is guaranteed to be no higher than the
following cutoffs:
|
|---|
| A: | 450 – 500
|
| B: | 400 – 449
|
| C: | 300 – 399
|
| D: | 275 – 299
|
| F: | 0 – 274
|
Resources:
In the This link will take you to some computational resources.
How to succeed in this course:
The class moves fast and you will find
it difficult to catch up if you fall behind.
If you miss a day of class you should obtain notes from
one of your classmates and study the missed lesson as soon as possible.
Remember, class material shows up in the exams.
This course requires a lot of time. Plan accordingly: for every hour of
class time, plan on 2-3 hours of study time.
Many of the students who perform best, not surprisingly, are those that seek help during office hours from the instructor.
Make time for office hours. It's one of the best and fastest ways to clarify questions and perform better in exams
Be sure to seek help
immediately if you are having trouble with any concepts
by asking questions in class.
Study in small groups.
The exams are structured to reward hard work and/or for
being clever. I expect clear and structured ideas.
If you come prepared for the exam, you should be able to do well. The questions come from a subset of all of the concepts learned, so start by making a list of things you think you should know and
work through it in your studies (you can even come by during office hours to
get an opinion regarding the completeness of your list). Don't squander the following opportunity: roughly
50% of your grade in the exams is based on class material and problems
from the homework. The rest is based upon the material assigned.
That means that you will be hard pressed to claim that you were caught by
surprise or that you were well prepared for the midterm
if your exam grade is low.
Course Catalog Description
OSU Academic Dishonesty Policy
Disability Access Services
Last modified on May 22, 2016 by Juan Restrepo.