| Textbook:
Gilbert Strang - "Introduction to Linear Algebra",
3-rd edition. Published by Wellesley-Cambridge Press., ISBN:
0-9614088-9-8. |
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Assessment: The final grade for the course will be determined as follows:
| 90% - 100% | A |
| 80% - 89% | B |
| 65% - 79% | C |
| 50% - 64% | D |
Plus and minus grades will be assigned in borderline cases.
Practice Homework: The purpose of the exercises from the practice homework is to give you a chance to practice and refine the theory learned in class. You do not have to turn in these problems. Homework is going to be assigned after every section we cover in class. It is critical that you complete these assignments - the only way to learn math is by doing math!
Graded homework: Some of the assigned homework will be graded and will contribute 15% to your final course grade. The list of graded homework problems will be announced in class and can also be found online. Please turn in the assigned homework on time, that is by the end of class on the day the homework is due.
Written work: We write to communicate. Please bear this in mind as you complete homework assignments and take 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. For specific suggestions see A guide to writing in mathematics classes.
Disabilities: Students with disabilities who will be taking this course and may need disability-related classroom accommodations are encouraged to make an appointment to see the instructor as soon as possible. Also, stop by the Office of Disability Services to register for support services.
Suggestions:
Lectures and homework assignments:
| Date | Section covered | Read | Homework |
| August 28 | Vectors and Linear Combinations | §1.1 | 3,4,8,12 |
| Lengths and dot products | §1.2 | 1-3,8,11,12,20,21,29,30 | |
| August 30 | Vectors and linear equations | §2.1 | 1-4,9-14,16,17,22 |
| September 6 | The idea of elimination | §2.2 | 2-6,11-14,18,19 |
| September 11 | Elimination using matrices | §2.3 | 1-4,10,12,17,18,21-24,26 |
| Rules for matrix multiplication | §2.4 | 1,2,5,6,11-13,17,21,22,26,29 | |
| September 13 | Inverse matrices | §2.5 | 1,2,4-12,15,18,23,25,30 |
| September 18 | Elimination = factorization | §2.6 | 5-7,9,13-16 |
| September 20 | Transposes and permutations | §2.7 | 1-4,8,9,12,14,16,17,22 |
| September 25 | Review for midterm exam 1 | The exam will cover §1 and §2. | |
| September 27 | Midterm exam 1 | ||
| October 2 | Spaces of vectors | §3.1 | 1,2,5,7,9-13,19,20,23-25 |
| October 4 | The nullspace of A | §3.2 | 1,5,9,21-23,26 |
| October 9 | The nullspace of A | §3.2 | 1,5,9,21-23,26 |
| October 11 | The rank and row reduced form | §3.3 | 1,2,7,8,10,26,27 |
| October 18 | The complete solution to Ax=b | §3.4 | 1,3-7,10,11,13,16-18,23-25 |
| October 23 | Linear independence, basis and dimension | §3.5 | 1-3,5,7-9,11,12,15-17,19 20,22,23,25,26,30,37,38 |
| October 25 | Linear independence, basis and dimension | §3.5 | 1-3,5,7-9,11,12,15-17,19 20,22,23,25,26,30,37,38 |
| October 30 | Dimensions of the four subspaces | §3.6 | 1,2,6-9,11,13,16 |
| November 1 | Dimensions of the four subspaces | §3.6 | 1,2,6-9,11,13,16 |
| November 6 | Review for midterm exam 2 | The exam will cover §3. | |
| November 8 | Midterm exam 2 | ||
| November 13 | Dimension of the four subspaces | §3.7 | 1,2,6-9,11,13,16 |
| November 15 | Orthogonality of the four subspaces | §4.1 | 16,17,19,20,22,24,25 |
| November 20 | Projections | §4.2 | 1-5,11-13,15,16 |
| November 27 | Orthogonal bases and Gram-Schmidt | §4.3 | 1-6,9,13,13,17,18,21-23 |
| November 29 | Properties
of determinants Permutations and cofactors |
§5.1 §5.2 |
2,3,7,8,10,12-15,18 3,12,13,15 |
| December 4 | Cramer's rule, inverses and volumes | §5.3 | 1,2,5-10,15 |
| December 6 | Introduction to eigenvalues | §6.1 | 2-6,8,9,12 |
| December 11 | Review for final exam | ||
| December 18 | Final exam, 2:15 - 4:15 pm in AB 635 | ||
| No. | Section and problems | Due on |
| 1 | §2.1: 18,22 and §2.2: 7, 12. | September 13 |
| 2 | §2.3:27, §2.4:36 and §2.5:8,27 | September 20 |
| 3 | §2.6:1, §2.7:4 and §3.1:1a,10 | October 11 |
| 4 | §3.2:1a, §3.3:26 and §3.4:4,5 | October 25 |
| 5 | §3.5:8,17,37 and §3.6:2 | November 6 |
| 6 | §4.1:21,22 and §4.2:19,30a | December 4 |