Math 1B03 - Linear Algebra I
(Fall 2018)
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Course Information
Instructor: Adam Van Tuyl
Office: Hamilton Hall 419
Office Hours: Mo 1:30PM-2:30PM, Th 11:30AM-12:30PM
Email: vantuyl@math.mcmaster.ca
Place and Time:
Class C01: Monday, Wednesday, Thursday 10:30AM-11:20AM
in BSB (Burke Science Building) 147
Tutorial T01: Mo 9:30AM - 10:20AM in HSC 1A1
Tutorial T02: Tu 11:30AM - 12:20PM in ABB 102
TA: The TA for the course is Judy Chen [chenm72@mcmaster.ca] (Tutorials start Monday, Sept 10, 2018)
Textbook:
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Elementary Linear Algebra: Applications Version 11th Edition
by Howard Anton, Chris Rorres
- We will also use Chapter 10 of the 9th Edition of this textbook on complex numbers.
News (Last Updated: December 18, 2018)
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FINAL EXAM Information
You can see your mark on the final exam on the homework portal. Your
final mark will be available on MOSAIC.
Have a good Christmas Break! -AVT
The final for Math 1B03 will be on Friday Dec. 14, 2018 at 12:30PM. Please find a review sheet below:
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Below is a summary of any relevant news and/or information. To see what we covered in class, see the lecture notes above and the schedule below.
- November 19, 2018 I have posted the review information about the final exam.
- November 12, 2018 Midterm 2 is graded; the solutions have been posted above.
- October 31, 2018 The review material for Midterm 2 was posted to the website.
- Octoer 11, 2018 Midterm 1 has now been graded.
- October 9, 2018 I will be changing the time of Midterm 2; the midterm will be starting at 7:30PM on November 7 instead of 7:00PM.
- September 25, 2018 Some information about the midterm has been posted.
- September 14, 2018 The math department has put together a
series online video tutorials on the basics of MatLabs. Watch
them here:
MatLab Video Tutorials. - September 12, 2018 The Math Help Centre in Hamilton Hall 104 is now open.
- September 10, 2018 We finished our discussion of Section 1.2. I also introduced MatLab and the online homework system.
- September 5, 2018 Today was the first day of class. See the schedule below and the notes above to see what we did. I also added information on the TA and the labs.
- July 30, 2018 Today I started working on the webpage. Please check back as more information is added.
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Schedule
We will be using the following schedule. Please note that there may be changes; always refer to the news section above for most recent information.
In addition, I have included some links to some videos to complement the
lectures. It is suggested that you also do the following practice problems.
Answers are in the back of the book, and worked out solutions are in the student manual.
I recommend that you first attempt the questions, and then check your
answers.
| Week 1: September 3-7 |
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| No Tutorials, Assignments, or Labs |
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| Lecture |
Topic |
Videos |
Practice |
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| Lecture 1 |
Introduction 1.1 Systems of Linear Equations |
Section 1.1: 5a, 7a, 11, 15, 17, 19, True-False Questions |
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| Lecture 2 |
1.2 Gaussian Elimination I |
Video 1 Video 2 |
Section 1.2: 3,15, 17, 19, 23, True-False Questions |
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| Week 2: September 10-14 | ||||
| ASSIGNMENT #1: Due at 11:59PM on Friday Sept. 14 | ||||
| Lecture 3 |
1.2 Gaussian Elimination II |
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| Lecture 4 |
1.3 Matrices and Matrix Operations |
Section 1.3: 1, 5, 11a, 12a, 25, True-False Questions |
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| Lecture 5 |
1.3 Matrices and Matrix Operations (Continued) 1.4 Inverses, Properties of Matrices |
Video | Section 1.4: 3, 5, 15, 21, 33, 39, True-False Questions |
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| Week 3: September 17-21 | ||||
| LAB #1 (Matlab): Due at 11:59PM on Friday Sept. 21 NOTE: Matlab TA is available this week |
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| Lecture 6 |
1.4 Inverses, Properties of Matrices (Continued) |
Video | ||
| Lecture 7 |
1.5 Elementary Matrices |
Video
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Section 1.5: 3, 5, 9, 13, 15, 19, True-False Questions |
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| Lecture 8 |
1.5 Elementary Matrices (Contiued) 1.6 More Linear Systems and Invertible Matrices |
Section 1.6: 5, 7, 15, 17, 21, True-False Questions |
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| Week 4: September 24-28 | ||||
| ASSIGNMENT #2: Due at 11:59PM on Friday Sept. 28 |
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| Lecture 9 |
1.6 More Linear Systems and Invertible Matrices (Continued) |
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| Lecture 10 |
1.7 Diagonal, Triangular, and Symmetric Matrices
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Section 1.7: 5, 13, 15a, 17, 27, True-False Questions |
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| Lecture 11 |
1.8 Linear Transformations
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Video | Section 1.8: 1, 5, 11, 15, 27, 31, True-False Questions |
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| Week 5: October 1-5 | ||||
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MIDTERM #1: Evening of Wednesday, October 3 LAB #2 (Matlab): Due at 11:59PM on Friday Oct. 5 NOTE: Matlab TA is available this week |
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| Lecture 12 |
2.1 Determinant by Cofactor Expansion
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Video 1 Video 2 Video 3 |
Section 2.1: 9, 11, 13, 21, 23, 34, True-False Questions |
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| Lecture 13 |
2.2 Evaluating Determinants by Row Reduction
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Video |
Section 2.2: 1, 9 15, 23, 31, True-False Questions |
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| Lecture 14 |
2.3 Properties of Determinants (including Cramer's Rule)
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Video | Section 2.3: 7, 9, 15, 19, 27, 33, True-False Questions |
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| Week 6: October 8-12 | ||||
| FALL BREAK - no classes | ||||
| Week 7: October 15-19 | ||||
| ASSIGNMENT #3: Due at 11:59PM on Friday Oct. 19 |
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| Lecture 15 |
5.1 Eigenvalues and Eigenvectors
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Video | Section 5.1: 3, 5, 7, 9, 13, 25, True-False Questions |
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| Lecture 16 |
5.1 Eigenvalues and Eigenvectors (continued) |
Video | ||
| Lecture 17 |
5.2 Diagonalization
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Video
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Section 5.2: 3, 5, 7, 11, 13, 15, 19, 27, True-False Questions |
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| Week 8: October 22-26 | ||||
| LAB #3 (Matlab): Due at 11:59PM on Friday Oct. 26 NOTE: Matlab TA is available this week |
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| Lecture 18 |
5.2 Diagonalization (continued)
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Video
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| Lecture 19 |
5.4 Differential Equations
(Note: For the videos, we only covered topics in Parts 1-6) |
Video 0 Video 1 |
Section 5.4: 1, 3, 7, 13, True-False Questions |
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| Lecture 20 |
10.1 (from 9th Edition) Complex Numbers
10.2 (from 9th Edition) Division of Complex Numbers |
Video 0 Video 1 |
Section 10.1: (9th ed.): 11, 19 | |
| Week 9: October 29-November 2 | ||||
| ASSIGNMENT #4: Due at 11:59PM on Friday Nov. 2 |
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| Lecture 21 |
10.2 (from 9th Edition) Division of Complex Numbers
10.3 (from 9th Edition) Polar Form of a Complex Number |
Section 10.2: (9th ed.): 9, 10, 35 Section 10.3: (9th ed.): 1, 3, 4 |
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| Lecture 22 |
5.3 Complex Eigenvalues and Eigenvectors
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Section 5.3: 1, 3, 5, 7, 9 15, 17, 19, 21, 23, 25, True-False Questions |
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| Lecture 23 |
3.1 Vectors in 2-space, 3-space and n-space
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Section 3.1: 3, 7, 9, 11, 15, 19, 21, True-False Questions |
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| Week 10: November 5-9 | ||||
| MIDTERM #2: Evening of Wednesday Nov. 7 LAB #4 (Matlab): Due at 11:59PM on Friday Nov. 9 NOTE: Matlab TA is available this week |
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| Lecture 24 |
3.2 Norm, Dot product, and Distance in R^n
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Video | Section 3.2: 1, 5, 9, 15, 17, True-False Questions |
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| Lecture 25 |
3.3 Orthogonality 3.4 The Geometry of Linear Systems |
Video | Section 3.3: 1, 13, 15, 19, 29, True-False Questions Section 3.4: 17, 19, 25, True-False Questions (c,d,e,f) |
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| Lecture 26 |
3.4 The Geometry of Linear Systems (Continued) 3.5 Cross Product |
Video | Section 3.5: 1, 7, 9, 13, True-False Questions |
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| Week 11: November 12-16 | ||||
| ASSIGNMENT #5: Due at 11:59PM on Friday Nov. 16 | ||||
| Lecture 27 |
4.1 Real Vector Spaces
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Section 4.1: 3,5, 9, 11, 13, 17, 21, True-False Questions |
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| Lecture 28 |
4.1 Real Vector Spaces (Continued) 4.2 Subspaces |
Video |
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| Lecture 29 |
4.2 Subspaces (Continued)
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Section 4.2: 1ace, 3ac, 7, 9, 11, 19, True-False Questions |
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| Week 12: November 19-23 | ||||
| LAB #5 (Matlab): Due at 11:59PM on Friday Nov. 23 NOTE: Matlab TA is available this week |
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| Lecture 30 |
4.3 Linear Independence
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Section 4.3: 1ab, 3a, 5, 9, 11, 15, 29, True-False Questions (not h) |
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| Lecture 31 |
4.3 Linear Independence (Continued) 4.4 Coordinates and Basis |
Video 1 Video 2 |
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| Lecture 32 |
4.4 Coordinates and Basis (Continued)
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Section 4.4: 1, 3, 5, 7, 11, 13, 25, True-False Questions |
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| Week 13: November 26-November 30 | ||||
| No assignments or labs this week |
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| Lecture 33 |
6.3 Gram-Schmidt Process
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Video | Section 6.3: 1, 7, 9, 11, 13, 27, 29, 31 | |
| Lecture 34 |
6.3 Gram-Schmidt Process (Continued) 4.5 Dimension |
Video | Section 4.5: 1, 3, 9, 15, 17, True-False Questions |
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| Lecture 35 |
4.5 Dimension (Continued) 4.7 Row Space, Column Space, and Null Space |
Section 4.7: 3, 9, 11, 13a, 15, True-False Questions a,b,c,d,i,j |
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| Week 14: December 3-5 | ||||
| ASSIGNMENT #6: Due at 11:59PM on Wednesday, Dec. 5 (NOTE CHANGE!!!) | ||||
| Lecture 36 |
4.7 Row Space, Column Space, and Null Space (Continued) 4.8 Rank, Nullity, and the Fundamental Matrix Spaces |
Video | Section 4.8: 3, 5, 7, True-False Questions a,c,e |
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| Lecture 37 |
Review | |||
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Homework and Labs
NOTE!: These links will not work until classes start!!
HOMEWORK:
There will be six assignments made available through online submission.
They will be automatically graded if submitted before the deadline expires.
You can access the assignments though this portal:
LABS:
There will be five labs which will require the use of Matlab (version 7 or later). These will be submitted using the online lab system. You can access the assignments though this portal:
Handouts
All class handouts are available as
PDF files.
Course Information
Course handout from first day of class
Note: This version is updated to include changes to McMaster policies.
Midterm 1 Review Sheet
Handout describing first midterm.
Midterm 2 Review Sheet
Handout describing second midterm.
Final Exam Review Sheet
Handout describing final exam.
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Grading Scheme
I will calculate your mark using two different weightings. Your final mark will be the higher of the two weightings. The two weightings are as follows:
Weighting 1
20% = Assignments and Labs (11 x 1.818%)
40% = Midterms (2 x 20%)
40% = Final Exam
Weighting 2
20% = Assignments (11 x 1.818%)
20% = Maximum of Midterm 1 and 2
60% = Final Exam
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Class Polices
1. Policy on Academic Ethics. You are expected to exhibit honesty and use ethical behaviour in all aspects of the learning process. Academic credentials you earn are rooted in principles of honesty and academic integrity.
Academic dishonesty is to knowingly act or fail to act in a way that
results or could result in unearned academic credit or advantage. This
behaviour can result in serious consequences, e.g. the grade of zero
on
an assignment, loss of credit with a notation on the transcript
(notation reads: Grade of F assigned for academic dishonesty),
and/or suspension or expulsion from the university.
It is your responsibility to understand what constitutes academic
dishonesty. For information on the various types of academic
dishonesty
please refer to the Academic Integrity Policy, located at:
http://www.mcmaster.ca/academicintegrity/
The following illustrates only three forms of academic dishonesty:
- plagiarism, e.g. the submission of work that is not one's own or for which other credit has been obtained.
- improper collaboration in group work,
- copying or using unauthorized aids in tests and examinations.
2. Academic Accommodation of Students with Disabilities.
Students with disabilities who require academic accommodation must contact Student Accessibility Services (SAS) to make arrangements with a Program Coordinator. Student Accessibility Services can be contacted by phone 905-525-9140 ext. 28652 or e-mail sas@mcmaster.ca. For further information, consult McMaster University's Academic Accommodation of Students with Disabilities policy.
3. Requests for Relief for Missed Academic Term Work. If you have missed work, it is your responsibility to take action. If you are absent from the university for medical and non-medical (personal) situations, lasting fewer than 3 days, you may report your absence, once per term, without documentation, using the McMaster Student Absence Form (MSAF). See Requests for Relief for Missed Academic Term Work
Absences for a longer duration or for other reasons must be reported
to
your Faculty/Program office, with documentation, and relief from term
work
may not necessarily be granted.
In Math 1B03, the percentages of the missed work will be
transferred
to the final examination.
Please note that the MSAF may not be used for term work worth 25% or
more,
nor can it be used for the final examination.
4. Academic Accommodation for Religious, Indigenous or Spiritual Observances
(RISO).
Students requiring academic accommodation based on religious, indigenous or spiritual observances should follow the procedures set out in the RISO policy. Students requiring a RISO accommodation should submit their request to their Faculty Office normally within 10 working days of the beginning of term in which they anticipate a need for accommodation or to the Registrar's Office prior to their examinations. Students should also contact their instructors as soon as possible to make alternative arrangements for classes, assignments, and tests.
5. Important Message.
The instructor and university reserve the right to modify elements of the
course during the term.
The University reserves the right to change the dates and deadlines for any or all courses in extreme circumstances (e.g., severe weather, labour disruptions, etc.). Changes will be communicated through regular McMaster communication channels, such as McMaster Daily News, A2L and/or McMaster email.
If either type of
modification becomes necessary, reasonable notice and communication with the
students will be given with explanation and the opportunity to comment on
changes. It is the responsibility of the student to check their McMaster
email and course websites weekly during the term and to note any changes.
6. On-line Statement for Courses Requiring Online Access or Work. In this course we will be using https://www.childsmath.ca/childsa/forms/main_login.php, a local website hosted by the department. Students should be aware that, when they access the electronic components of this course, private information such as first and last names, user names for the McMaster e-mail accounts, and program affiliation may become apparent to all other students in the same course. The available information is dependent on the technology used. Continuation in this course will be deemed consent to this disclosure. If you have any questions or concerns about such disclosure please discuss this with the course instructor.
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