Relevant data
- Lectures. MWF 1:25pm-2:15pm, at Purnell Hall 324B
- Instructor. Francisco-Javier Sayas
- Office hours to be announced
- Textbook. A (Terse) Introduction to Linear Algebra, by Katznelson & Katznelson. (AMS). We will cover Chapters 1 through 7.
- Website.
www.math.udel.edu/~fjsayas/teaching/math672
Course
description
Vector spaces, linear transformations, decomposition theorems and bilinear forms.
Prerequisite. MATH 349 Elementary linear algebra
Topics:
1. Vector spaces. 2. Linear operators and matrices. 3. Duality of vector spaces. 4. Determinants. 5. Invariant subspaces. 6. Inner-product spaces. 7. Structure theorems.
Evaluation
The final grade will be composed of two midterm exams (each of them containing an in-class and a take home part), a final exam, and a series of small quizzes. Homework will be assigned, but not collected or graded.
Check the continuously updated calendar at the main page of the course website for concrete dates of quizzes and exams.
Part of the grade will reflect the quality of the argumentation and the clarity of its exposition. Grading will be very strict in terms of the quality of writing, especially in long exams. Writing has to be 100% logic and precise, good use of notation is mandatory, and gaps in argumentation will be penalized.
Attendance and deadline policy
Attendance to lectures is mandatory and will be checked on random dates. The students are expected to tell the instructor if they are going to miss a lecture, giving a good reason for it. Deadlines for the take-home part of the midterm exams will be strict.
Academic honesty
As worded by the University of Delaware All students must be honest and forthright in their academic studies. To falsify the results of one's research, to steal the words or ideas of another, to cheat on an assignment, or to allow or assist another to commit these acts corrupts the educational process. Students are expected to do their own work and neither give nor receive unauthorized assistance. Any violation of this standard must be reported to the Office of Student Conduct. For more details, check http://www.udel.edu/stuguide/13-14/code.html Unless you are asked to do so in a concrete assignment, you cannot collaborate with your colleagues in assignments and projects. Cheating of any kind (even if the student does not take any advantage from it) will be grounds for an F grade.
Vector spaces, linear transformations, decomposition theorems and bilinear forms.
Prerequisite. MATH 349 Elementary linear algebra
Topics:
1. Vector spaces. 2. Linear operators and matrices. 3. Duality of vector spaces. 4. Determinants. 5. Invariant subspaces. 6. Inner-product spaces. 7. Structure theorems.
Evaluation
The final grade will be composed of two midterm exams (each of them containing an in-class and a take home part), a final exam, and a series of small quizzes. Homework will be assigned, but not collected or graded.
Check the continuously updated calendar at the main page of the course website for concrete dates of quizzes and exams.
Part of the grade will reflect the quality of the argumentation and the clarity of its exposition. Grading will be very strict in terms of the quality of writing, especially in long exams. Writing has to be 100% logic and precise, good use of notation is mandatory, and gaps in argumentation will be penalized.
| MIDTERM
EXAMS |
500 |
250
each (two exams) |
| FINAL
EXAM |
300 |
|
| QUIZZES |
200 |
40
points each (only the highest 5 grades count) |
| TOTAL |
1000 |
Attendance and deadline policy
Attendance to lectures is mandatory and will be checked on random dates. The students are expected to tell the instructor if they are going to miss a lecture, giving a good reason for it. Deadlines for the take-home part of the midterm exams will be strict.
Academic honesty
As worded by the University of Delaware All students must be honest and forthright in their academic studies. To falsify the results of one's research, to steal the words or ideas of another, to cheat on an assignment, or to allow or assist another to commit these acts corrupts the educational process. Students are expected to do their own work and neither give nor receive unauthorized assistance. Any violation of this standard must be reported to the Office of Student Conduct. For more details, check http://www.udel.edu/stuguide/13-14/code.html Unless you are asked to do so in a concrete assignment, you cannot collaborate with your colleagues in assignments and projects. Cheating of any kind (even if the student does not take any advantage from it) will be grounds for an F grade.