Tom Roby's Math 2210Q Home Page (Fall 2013)|
Applied Linear Algebra
Questions or Comments?
COORDINATES: Classes meet Tuesdays and Thursdays
PREREQUISITES: MATH 1132, 1152, OR 2142.
SOFTWARE: In most areas of mathematics it is frequently helpful to use computer software not only for computations, but also to explore examples, search for patterns, or test conjectures. For linear algebra there are several extensive and sophisticated commercial software packages, including MATLAB, Maple, and Mathematica. Matlab is particularly good at linear algebra for applications. All of these can be expensive, depending on your site license.
An excellent alternative to the above is the free open-source computer algebra system Sage. There are many commands for linear algebra, and a textbook (linked below) has been written that makes significant use of Sage examples. Sage also provides a full-fledged programming environment via the Python programming language, but you don't need to be a programmer to use it. I highly recommend trying it out online, and installing a copy on your computer.
Our sysadmin has provided a local copy of the downloads for Sage.
GRADING: Your grade will be based on two midterm exams, a final exam, homework, and quizzes.
The breakdown of points is:
EXAMS: The exam dates are already scheduled, so please mark your calendars now (midterms in class on 3 October and 5 November, final (tentatively) on 10 December 2013, 1:00-3:00). All exams (like math itself at this level) are cumulative. No makeups will be given; instead if you have an approved reason for missing an exam, the final will count for the appropriately higher percentage.
QUIZZES: Quizzes will be given each Thursday (except midterm exam days), covering (a) sections from the previous week (at the level of HW exercises) and (b) the reading assigned for the current week (at the level of True/False exercises). Your lowest two quiz scores will be dropped.
HOMEWORK: Homework will be assigned most weeks, and is DUE at class the following TUESDAY. Since I may discuss the homework problems in class the day they are due, late assignments will be accepted only under the most extreme circumstances. (Please let me know as soon as possible if you find yourself with a situation that might qualify.) The lowest written homework score will be dropped in any event. (I've color coded the schedule by week to help clarify what the HW is for a given week.)
You may find some homework problems to be challenging, leading you to spend lots of time working on them and sometimes get frustrated. This is natural. I encourage you to work with other people in person or electronically. It's OK to get significant help from any resource, but in the end, please write your own solution in your own words. Copying someone else's work without credit is plagiarism and will be dealt with according to university policy. It also is a poor learning strategy.
ACADEMIC INTEGRITY: Please make sure you are familiar with and abide by The Student Code governing Academic Integrity in Undergraduate Education and Research. For quizzes and exams you may not discuss the material with anyone other than the instructor or offical proctor, and no calculators, phones, slide rules or other devices designed to aid communication or computation may be used unless otherwise specifically indicated on the exam.
CONTENT: Linear Algebra is a beautiful and important subject, rich in applications within mathematics and to many other disciplines. For many of you this is the first course to begin bridging the gap between concrete computations and abstract reasoning. Understanding the notions of vector spaces, linear (in)dependence, dimension, and linear transformations will help you make sense of matrix manipulations at a deeper level, clarifying the underlying structure.
ACCESSIBILITY & DISABILITY ISSUES: Please contact me and UConn's Center for Students with Disabilities as soon as possible if you have any accessibility issues, have a (documented) disability and wish to discuss academic accommodations, or if you would need assistance in the event of an emergency.
LEARNING: The only way to learn mathematics is by doing it! Complete each assignment to the best of your ability, and get help when you are confused. Come to class prepared with questions. Don't hesitate to seek help from other students. Sometimes the point of view of someone who has just figured something out can be the most helpful.
We will often spend classtime doing things in groups, presenting mathematics to one another, or having interactive discussions. There will not be time to "cover" all material in a lecture format so you will need to read and learn some topics on your own from the book (or otherwise).
SCHEDULE: I will update the following schedule over the course of the semester. Generally we will cover three sections per week, which means splitting a section between two lectures. Lecture notes are linked section by section: I recommend you review them before or after lecture, allowing you to spend lecture time focussing on the material rather than copying things down. If you have a religious observance that conflicts with your participation in the course, please meet with me within the first two weeks of the term to discuss any appropriate accommodations.
I've color coded the schedule by week to help clarify what the HW is for a given week.
Use this form to send me anonymous feedback or to answer the question: How can I improve your learning in this class? I will respond to any constructive suggestions or comments in the space below the form.
Feedback & Responses
NEWS, NOTES, AND HANDOUTS
[27 Aug] We will be moving class to MSB 215 for the rest of the semester, starting on the second day of class, Thursday 29 August, so we can take advantage of a hi-tech room.
[26 Sept] I've modified the schedule so that (a) Exam 1 only covers through §2.4 and (b) HW on §2.5, 3.1, and 3.2 is due after the midterm. Please spend this weekend on the practice midterm.
[22 Nov] I've modified the schedule based on the day we missed. All HW for §5.3–6.3 is due on Tuesday 12/3, along with rewrites for Exam #2. I've also posted the practice final (see links below and on the schedule above).
[5 Dec] Question #8 on the practice final covers a section we didn't get to (§7.3) this semester. Feel free to just ignore it.
[7 Dec] I updated the Practice Final to take out things we didn't cover; if you have an older version (e.g., what I handed out on Thursday), then omit #8 on constrained maximization. Also, replace "p. 269" with "p.236" in #7, and eliminate the quadratic form and constrained extrema clause of 11(e). I'll make the solutions available sometime on Sunday.
[7 Dec] Note the review session added to the schedule for MONDAY 9 DECEMBER starting at 7:30 PM. Assume it's in MSB 215, but we might need to move to a nearby room, e.g., MSB 203.
[8 Dec] I'll be in my office on Tuesday 12/10 from 11:30-12:45 to answer any questions from 2210Q students. Our exam starts at 1:00 that afternoon.
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