Herzberg Laboratories, Office #4376
Tel: (613) 520 2600 (Ext. 2133)
http://www.math.carleton.ca/~aalaca/
Instructor: Ayse Alaca
Herzberg Laboratories, Office #4376
Tel: (613) 520 2600 (Ext. 2133)
http://www.math.carleton.ca/~aalaca/
Textbook: Linear Algebra and Its Applications (etext without MyLab), 6E, by David C. Lay, Steven R. Lay, Judi J. McDonald. I sent you an email with different options to buy the e-text.
Prerequisites:
(i) MATH 1104, or a grade of C- or higher in MATH 1107 or MATH 1109; and
(ii) a grade of C- or higher in MATH 1007 or equivalent; or MATH 1152 and permission of the School.
Note: in item (i), MATH 1119 is NOT acceptable as a substitute for MATH 1109.
First lecture: Thursday, September 9.
Last lecture: Thursday, December 9.
First tutorial: Tuesday, September 21.
Last tutorial: Tuesday, December 7.
Lectures will be held Synchronously (live) via Zoom through Brightspace. The schedue is as follows:
| Day | Time |
|---|---|
| Tuesday and Thursday | 8:35--9:55 am |
Tutorials (On Tuesdays 7:35--8:25 pm): A1 is IN-PERSON and AW is online Synchronous (live) via Zoom through Brightspace.
Term tests:
There will be four tests held online, for all tutorial sections (A1 and AW), during the regular tutorial hours (Tuesdays 7:35 pm--8:25 pm), on the following dates:
Test 1: October 5
Test 2: October 19
Test 3: November 16
Test 4: November 30.
No make up, early, or delayed tests.
Instructions for the tests will be posted on Brightspace as they become available.
Quizzes:
There will be five online quizzes during the term due on Tuesdays at 6:00pm on the following dates:
Quiz 1: September 28,
Quiz 2: October 12,
Quiz 3: November 2,
Quiz 4: November 9,
Quiz 5: November 23.
No make up, early, or delayed quizzes.
Instructions for the quizzes will be posted on Brightspace as they become available.
Final examination: This is a three-hour exam scheduled by the University and will take place during the examination period of December 11--23. The University will determine the exact date and time of the examination. It is the responsibility of each student to be available at the time of the examination. Please note that the exam date cannot be changed by the instructor.
Evaluation:
Five quizzes 20% (4% each), 4 tests 40% (10% each), and final examination 40% of the final grade.
A minimum grade of 25% on the term mark and 25% on the final examination is
required in order to pass the course.
Important notes:
System requirements: Students must have reliable internet access. Students are fully responsible for resolving their own computer/connection issues and creating proper files for test/examination submissions. Students having technical issues with Brightspace should contact the ITS service desk .
| LECTURE # | DATES | TESTS | SECTIONS | TOPICS |
| 1 | Sep. 9 | ~ | 4.1 | Vector Spaces and Subspaces. |
| 2 & 3 | Sep. 14, 16 | ~ | 4.2, 4.3 | Null Spaces, Column Spaces, Row Space and Linear Transformations. Linearly Independent Sets, Bases. |
| 4 & 5 | Sep. 21, 23 | ~ | 4.4, 4.5 | Coordinate Systems. The Dimension of a Vector Space. |
| 6 & 7 | Sep. 28, 30 | Quiz 1 Sept. 28 |
4.5, 4.6 | Rank. Change of Basis. |
| 8 & 9 | Oct. 5, 7 | Test 1 Oct. 5 |
5.1, 5.2 | Eigenvectors and Eigenvalues. The Characteristic Equation. |
| 10 & 11 | Oct. 12, 14 | Quiz 2 Oct. 12 |
5.3, 5.4 | Diagonalization. Eigenvectors and Linear Transformations. |
| 12 & 13 | Oct. 19, 21 | Test 2 Oct. 19 |
5.5 | Complex Eigenvalues. |
| ~ | Oct. 25--29 | FALL | BREAK | NO CLASSES |
| 14 & 15 | Nov. 2, 4 | Quiz 3 Nov. 2 |
6.1, 6.2 | Inner Product, Length and Orthogonality. Orthogonal Sets. |
| 16 & 17 | Nov. 9, 11 | Quiz 4 Nov. 9 |
6.3, 6.4 | Orthogonal Projections. The Gram-Schmidt Process. |
| 18 & 19 | Nov. 16, 18 | Test 3 Nov. 16 |
6.5, 6.6 | Least-Squares Problems. Least-Squares Lines. Least-Squares Fitting of Other Curves. |
| 20 & 21 | Nov. 23, 25 | Quiz 5 Nov. 23 |
6.7 | Inner product Spaces. |
| 22 & 23 | Nov. 30, Dec. 2 | Test 4 Nov. 30 |
7.1, 7.2 | Diagonalization of Symmetric Matrices. The Spectral Theorem for Symmetric Matrices. Quadratic Forms. |
| 24 & 25 | Dec. 7, 9 | 7.2 (cont.), 7.3 | The Principal Axes Theorem. Constrained Optimization. |
The above weekly schedule is subject to change depending on the progress of the course.
Policies:
Academic Integrity: Be sure that you know the academic integrity standards at Carleton which can be found here.
Religious obligations and/or accommodations for pregnancy: Write to me with any requests for academic accommodation during the first two weeks of class, or as soon as possible after the need for accommodation is known to exist. For more details, see the Student Guide: Academic Accommodation.
Academic Accommodations for Students with Disabilities: The Paul Menton Centre for Students with Disabilities (PMC) provides services to students with Learning Disabilities (LD), psychiatric/mental health disabilities, Attention Deficit Hyperactivity Disorder (ADHD), Autism Spectrum Disorders (ASD), chronic medical conditions, and impairments in mobility, hearing, and vision. If you have a disability requiring academic accommodations in this course, please contact PMC at 613-520-6608 or pmc@carleton.ca for a formal evaluation. If you are already registered with the PMC, contact your PMC coordinator to send me your Letter of Accommodation at the beginning of the term, and no later than two weeks before the first scheduled test or exam requiring accommodation (if applicable). For the deadline to request accomodations, and for more details, visit the PMC website.
COVID-19 Protocol: All members of the Carleton community are required to follow COVID-19 prevention measures and all mandatory public health requirements (e.g. wearing a mask, physical distancing, hand hygiene, respiratory and cough etiquette) and mandatory self-screening prior to coming to campus daily.
If you feel ill or exhibit COVID-19 symptoms while on campus or in class, please leave campus immediately, self-isolate, and complete the mandatory symptom reporting tool. For purposes of contact tracing, attendance will be taken in all classes and labs. Participants can check in using posted QR codes through the cuScreen platform where provided. Students who do not have a smartphone will be required to complete a paper process as indicated on the COVID-19 website. All members of the Carleton community are required to follow guidelines regarding safe movement and seating on campus (e.g. directional arrows, designated entrances and exits, designated seats that maintain physical distancing). In order to avoid congestion, allow all previous occupants to fully vacate a classroom before entering. No food or drinks are permitted in any classrooms or labs.
For the most recent information about Carleton's COVID-19 response and required measures, please see the University's COVID-19 webpage and review the Frequently Asked Questions (FAQs) Shoud you have additional questions after reviewing, please contact covidinfo@carleton.ca.
Please note that failure to comply with University policies and mandatory public health requirements, and endangering the safety of others are considered misconduct under the Student Rights and Responsibilities Policy. Failure to comply with Carleton's COVID-19 procedures may lead to supplementary action involving Campus Safety and/or Student Affairs.
Last Modified: September 2, 2021.