Linear Algebra (syllabus)

textbook cover
vectors
matrix multiplication
intersection of two planes
Description
Provides a thorough introduction to linear algebra. Designed to give the best preparation for upper-level mathematics and statistics courses.
Instructors
Gregory G. Smith (section 001)
Tyler Meadows (section 002)
Email
math110@queensu.ca
Lectures
(slot 015)
Section 001 meets in Stirling Room B and section 002 meets in Jeffery Room 126 both on
  • Tuesdays at 12:30–13:20,
  • Thursdays at 11:30–12:20, and
  • Fridays at 13:30–14:20.
Tutorials
An opportunity to review ideas from class, work on the homework, and interact with peers. Although all students are expected to attend at least one tutorial per week, everyone is welcome to attend both on
  • Tuesdays at 15:30–16:20 in 324 Ellis Hall, and
  • Wednesdays at 17:30–18:20 in 324 Ellis Hall.
Tests
The in-class tests occur on
  • Thursday, 30 September 2021,
  • Thursday, 4 November 2021,
  • Thursday, 3 February 2022, and
  • Thursday, 10 March 2022.
The tests will be fifty minutes long (i.e. the entire class). There are no makeups for missed tests.
Exams
There will be a three-hour exam at the end of each term, scheduled by the University Registrar.
  • The December Exam takes place on Monday, 20 December 2021 at 09:00–12:00 in Dunning Hall.
  • The April Exam takes place on Sunday, 24 April 2022 at 14:00 in Grant Hall.
Goals
At the end of the course, students should be able to
  • make calculations with accuracy and flexibility,
  • recognize and make mathematically rigorous arguments,
  • communicate mathematical ideas using the correct definitions, terminology, and symbolism, and
  • work collaboratively to acquire mathematical knowledge, solve problems, and present solutions.
Expectations
To achieve these goals, students are expected to
  • carefully read the course notes or at least one textbook,
  • attend the lectures and tutorials,
  • complete all homework assignments, and
  • discuss mathematics with other students.
Assessment
The course grades will be computed as
  • 20% Homework (10% per term or a maximum of 1% per problem set),
  • 30% Tests (7.5% each), and
  • 50% Exams (25% each).
Each term will contribute equally to the final grade.
The fall term grade will be computed as
  • 40% Homework
  • 30% Tests (15% each), and
  • 30% Exam.
If there are six weeks of remote delivery, then the winter term grade will be computed as
  • 10% Participation
  • 20% Homework
  • 30% Tests (15% each), and
  • 40% Exam.
If there are twelve weeks of remote delivery, then the winter term grade will be computed as
  • 10% Participation
  • 30% Homework
  • 30% Tests (15% each), and
  • 30% Exam.
Help
If you have difficulties with homework or lecture material, then help is available.
  • The tutorials are an excellent place to ask questions.
  • onQ allows students to discuss problems.
  • You may also take advantage of the Math Study Centre (201 Jeffery Hall). You may drop by whenever it is open; no appointment is necessary.
  • You may also email the instructors at math110@queensu.ca.
Participation
During remote delivery, participation will be incentivized. Each week, students can earn up to 2 points (with a maximum total of 10): 1 point will be awarded to students who have their camera on during the lectures or ask a good question, 1 point will be awarded to students who actively participate in a tutorial, and up to 2 points will be awarded to students who pose reasonable questions or post answers on the discussion forum.
Homework
There will be two kinds of homework.
  • Exercises give you a chance to practice and refine your skills. Doing the assigned exercises is vitally important—to learn mathematics, one must solve problems. They will not be collected or graded. The recommended exercises from the textbook are listed in the lecture schedules.
  • Problem sets consist of approximately 3 questions per week. Intended to be the hardest in the course, they may ask you to apply a technique in a novel context or combine concepts that you have only seen before in isolation. Problem sets are posted in PDF. Your browser can be trained to open these files with the free program Acrobat Reader (or other PDF viewer). Solutions to each problem set will be submitted via the Crowdmark system. Students registered in the class will automatically have an account. Instructions for using this software are available. The solution to each problem must be uploaded separately. Solutions are due on Fridays before 17:00; late homework will receive no credit. Your best ten solution sets per term will determine your homework grade.
Writing
We write to communicate. Please bear this in mind as you complete assignments, tests, and exams. Work must be neat and legible to receive consideration. You must explain your work in order to obtain full credit; an assertion is not an answer.
Academic Integrity
Students are responsible for familiarizing themselves with all of the regulations concerning academic integrity and for ensuring that their assignments and their behaviour conform to the principles of academic integrity. Students are welcome to discuss problems, but should write up the solutions individually. Students must explicitly acknowledge any assistance including books, software, technology, websites, students, friends, professors, references, etc.
Accommodations
The instructors are committed to achieving full accessibility for people with disabilities. Part of this commitment includes arranging academic accommodations for students with disabilities to ensure they have an equitable opportunity to participate in all of their academic activities. If you are a student with a disability and think you may need academic accommodations, then you are strongly encouraged to contact an instructor and the Queenʼs Student Accessibility Services (QSAS) as early as possible.
Licensing
Materials generated by the instructors of this course may not be used for commercial advantage or monetary compensation. Some material is clearly copyrighted and may not be reproduced or retransmitted in any form without express written consent. Other material, licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License, may be remix, adapt, or build upon it, as long as appropriate credit is given and the new creation is distributed under the identical terms.
Technology
Students are encouraged to use calculators and computer algebra systems to explore linear algebra. However, these aids will not be allowed during the tests and exams.
Reference
David Poole, Linear Algebra: A Modern Introduction, Fourth Edition, Cengage Learning, 2015, ISBN-13: 978-1-285-46324-7