Linear Algebra,
Fourth Edition,
by Steven Friedberg, Arnold Insel, and Lawrence Spence.
Grader:
Jaehoon Kim
Mailboxes:
All department mailboxes are located in 250 Altgeld Hall.
Grades:
Components of grade:
Homework/Quizzes/Class Participation: 25%
First midterm: 20%
Second midterm: 20%
Final exam: 35%
The cutoff for the lowest A-, B-, C-, and D- will be at most
90%, 80%, 70%, and 60%, respectively; it may be somewhat lower.
Grades will be available on-line;
to view scores go to the
math department
courses homepage and select score reports.
(To find the math department courses homepage select
"Courses" on the math homepage.
Homework:
There will be weekly homework assignments.
They are due on Wednesdays. On some weeks, they will be collected.
In this case, they must be either handed in at the beginning
of class or else placed in the grader's mailbox before class;
not in the instructor's mailbox. Other weeks,
their will be a short quiz in class covering same material.
In either case, they will be assigned in
class by the previous Friday, and are available on-line.
Homework and quizes will be graded on clarity and conciseness
as well as content. No late homework will be graded. However, late homework
is worth doing and handing in, and will be considered in borderline cases.
Exams:
There will be two tests in class, on Friday,
Sept. 25 and Friday, Nov 6.
If you have a conflict with either of these dates, you are
required to tell me now -- not right before the exam.
Practice exams will be available.
Prerequisites:
The main prerequisite for this course is a certain level of mathematical sophistication,
and a willingness to think abstractly and to read and write proofs.
If you prefer to avoid proofs, you may be happier in 415 or the other section of 416.
Outline:
This course is a rigourous proof-oriented course in linear algebra, which is one of the underpinnings
or modern mathematics and is vitally important in many areas of science and engineering.
Topics which we will study include vector spaces over fields, linear transformations, determinants, inner product spaces,
eigenvectors and eigenvalues, Hermitian matrices, and Jordan Normal Form.
I hope to cover 1.1 - 1.6, 2.1 - 2.5, 3.1-3.3, 4.1 - 4.3, 5.1, 5.2, 5.4, 6.1-6.6, 7.1, and 7.2.