Instructors:
Prof. Dr. Steven Wang,Course website:
This course uses cuLearn. To access your courses on cuLearn go to http://carleton.ca/culearn. Be sure to check the cuLearn site regularly for updates course materials.
For help and support, go to http://carleton.ca/culearnsupport/. Any unresolved questions can be directed to Computing and Communication Services (CCS) by phone at 613-520-3700 or via email at ccs_service_desk@carleton.ca .
Textbook:
Elementary Linear Algebra and its Applications by Mohammad R. Sadeghi and Jabir M. Abulrahman. This book is available at Haven Books where it is reasonably priced.
If you are looking for additional resources, we recommend A First Course in Linear Algebra, by Rob Beezer. This is a Free and Open Source textbook. This means that you can download a copy for free and print it yourself, put it on your phone, tablet or e-reader. You can also download this PDF of the book which is smaller than the full edition and does not contain some topics which we will not cover. For your convenience Haven Books have also agreed to print this book upon request for any MATH1104 students who are interested. You can also have it printed at Graphics Services or other print shops. Finally, hardcover editions of this text are also available for very reasonable prices. This book is Open Source and published under the GNU Free Documentation License. You can make modifications and redistribute the resulting book with full freedom as long as you publish it under the same license.
Additionally, the following books will be on reserve for this course at the libraryPrerequisites:
Ontario Grade 12 Mathematics: Geometry and Discrete Mathematics; or an OAC in Algebra and Geometry; or MATH 0107, equivalent, or permission of the School of Mathematics and Statistics.
Tentative Schedule:
| Week | Dates | Tests | Book Sections | Topics |
|---|---|---|---|---|
| 1 | Sept 8-12 | 1.1,1.2,1.3,2.1 | Linear Equations and Systems of Linear Equations. Echelon Forms and Elementary Row Operations. Solving Systems of Linear Equations. Matrix Operations. | |
| 2 | Sept 15-19 | 2.2,2.3 | Inverse of a Matrix and Linear systems. Elementary Matrices | |
| 3 | Sept 22-26 | 2.5,3.1 | Least Squares. Introduction to Determinants. | |
| 4 | Sept 29-Oct 3 | Test 1 | 3.2-3.4 | Properties of Determinants. Cramer's Rule. Adjoint of a Matrix |
| 5 | Oct 6-10 | 4.1-4.3 | Vectors in R2 and R3. Vectors in Rn. Vector Spaces and Subspaces. | |
| 6 | Oct 13-17 | 4.4-4.6 | Spanning sets and Linear Independence. Basis and Dimension. The Rank of a Matrix. | |
| 7 | Oct 20-24 | Test 2 | 4.7,5.1 | Coordinates and Change of Basis. Introduction to Linear Transformations |
| 8 | Oct 27-31 | Fall Reading Week | ||
| 9 | Nov 3-7 | 5.2,5.3 | Linear Transformation over Vector Spaces. Matrices for Linear Transformations. | |
| 10 | Nov 10-14 | 6.1,6.2 | Introduction to Eigenvalues and Eigenvectors. Diagonalization of Matrices | |
| 11 | Nov 17-21 | Test 3 | 6.3, App. A | Applications of Diagonalization including image compression and Google Page Rank algorithm. Complex Numbers |
| 12 | Nov 24-28 | 6.4,7.1 | Complex Eigenvalues and Eigenvectors. Inner product in Rn. | |
| 13 | Dec 1-8 | 7.2,7.3 | Orthogonal Bases. Orthonormal Bases and Gram- Schmidt Process. Review |
Schedule:
Office Hours:
Evaluation: Term mark is 50%. The final examination is 50%. No Calculator is allowed in the tests and final exam.
Term mark (50% of final mark):
Exam (50% of final mark):
You must pass the term work in order to pass the course. If you have a passing term mark and you do better on the final exam than your term work, your final exam will count for 100% of the course. I do not accept doctor's notes for late or missed work because I cannot verify their authenticity. Students wishing to see their examination papers must make an appointment within 3 weeks of the examination. This is an opportunity to get educational feedback and not an opportunity to argue about the marking.Plagiarism is defined in the undergraduate calendar as an instructional offense that occurs when a student uses or passes off "as one's own idea or product, work of another without expressly giving credit". This includes plagiarism involving material lifted from the Internet. Plagiarism is a serious offense. The penalties for students who have been found to have plagiarized are a failed grade at the least severe and suspension, expulsion or notation on transcripts for serious or repeated cases. Plagiarism is just one form of Cheating. All forms of cheating are taken very seriously and will be dealt with swiftly and severely.
That being said, if you are unsure whether something you are doing is actually cheating just ask the instructor.
You may need special arrangements to meet your academic obligations during the term. For an accommodation request the processes are as follows:
Chapter 1
1.1: 1-25
1.2: 1-15
1.3: 1-17,21-25,29-32
Chapter 2
2.1: 1-13 ,15,17
2.2: 1-13 ,15-19
2.3: 1-13
2.5: 1-3
Chapter 3
3.1: 1-15
3.2: 1-13
3.3: 1-13
3.4: 1-15
Chapter 4
4.1: 1-7
4.2: 1-5
4.3: 1-9
4.4: 1-9 , 11,13-17, 19,21, 23-27
4.5: 1-17 , 19, 21
4.6: 1-11, 13-17,19,21
4.7: 1-6 ,8,9
Chapter 5
5.1:1-7,10,11,13,15
5.2: 4-7
5.3: 1-7,9-15
Chapter 6
6.1: 1-15 , 18- 21, 23-27
6.2: 1-5,7-11
6.3: 1-5
6.4: 1-6
Chapter 7
7.1: 1-21 , 25-35, 38-41
7.2: 1-7, 9-12, 14-20