Math441 Spring 2014
Course Information
Description: Applied Linear Algebra.
Instructor: Casian Pantea. email me
Class schedule: Mondays, Wednesdays, Fridays 1:30-2:20PM in BEB 348
Office hours: Mondays, Wednesdays 5-6PM, and by appointment, in Armstrong Hall 305B
Additional help: Monday-Thursday 8AM-3PM, Friday 8AM-2PM.
Info sheet containing more or less the stuff on this webpage.
Textbooks and resources
Textbook:
Introduction to Linear Algebra (4th edition)
Useful free resources:
MIT Open Courseware
Linear algebra notes
Web goodies
Evaluation
Grading scheme
- 30% Final exam on Monday December 16 2013, 3-5PM in Armstrong Hall room 112
- 25% Each of best two midterm exams
- 10% Homework assignments
- 10% Quizzes
- Letter grades will be assigned according to the scheme
- A 90-100% | B 80-90% | C 70-80% | D 60-70% | F 0-60%
Quizzes
- There will be six 15-minutes quizzes (one every two weeks); best five will count towards your grade.
- Quizzes will test the material covered during the previous two weeks.
- No make-up quizzes will be given.
Homework
- Homework will be assigned once every two weeks, and due two weeks later (please see the course schedule below for exact dates).
- Your best five homework papers will count towards the final grade.
- Late turn-ins will not be accepted.
Midterms
- There will be three 50-minutes in-class midterm exams, on February 3, March 7 and April 16.
- Midterm exams will test material covered after the previous midterm (they are not cumulative).
- Your best two midterm exams count towards the final grade, each weighted at 25%.
- Calculators will not be allowed.
- No make-up midterm will be given.
Final Exam
- Friday May 2 7:00-9:00 PM, Business & Economics Building 348.
- Final is cumulative.
Course Schedule (subject to changes)
Date | Topic | Resources | HW/Quiz |
---|---|---|---|
Jan 8 | Introduction | Evaluation Test | |
Jan 10 | Introduction to vectors and matrices | 1.1-1.3 | |
Jan 13 | Introduction to vectors and matrices | 1.1-1.3 | |
Jan 15 | Linear equations, elimination | 2.1-2.2 | Quiz 1 solutions |
Jan 17 | Matrix operations | 2.4 | |
Jan 22 | Elimination using matrices | 2.3. | HW1 posted |
Jan 24 | Inverse matrices | 2.5. | |
Jan 27 | LU decomposition | 2.6. | |
Jan 29 | Transposes and permutations | 2.7. | Quiz 2 solutions |
Jan 31 | Spaces of vectors | 3.1. | |
Feb 3 | Spaces of vectors | 3.1. | |
Feb 5 | Midterm 1 | Midterm1 solutions HW1 due HW2 posted | |
Feb 7 | Span; column space | 3.1. | |
Feb 10 | Nullspace | 3.2. | |
Feb 12 | Rank and row reduced form | 3.3. | Quiz 3 solutions |
Feb 14 | Complete solution to Ax=b | 3.4. | |
Feb 17 | Independence, span | 3.5. | |
Feb 19 | Basis, dimension | 3.5. | HW2 due HW3 posted |
Feb 21 | Basis, dimension | 3.5. | |
Feb 24 | Dimension of the four subspaces | 3.6. | |
Feb 26 | Dimension of the four subspaces | 3.6. | Quiz 4 solutions |
Feb 28 | Orthogonality of the four subspaces | 4.1. | |
Mar 3 | Orthogonality of the four subspaces | 4.1. | |
Mar 5 | Midterm 2 | Midterm2 solutions | |
Mar 7 | Review | HW3 due HW4 posted | |
Mar 17 | Projections | 4.2. | |
Mar 19 | Projections | 4.2. | |
Mar 21 | Least squares approximations | 4.3. | HW4 due HW5 posted |
Mar 24 | Orthogonal bases and Gram-Schmidt | 4.4. | |
Mar 26 | Orthogonal bases and Gram-Schmidt | 4.4. | Quiz 5 solutions |
Mar 28 | Properties of determinants | 5.1. | |
Mar 31 | Permutations and cofactors | 5.2. | |
Apr 2 | Cramer's rule, inverses | 5.3. | HW5 due HW6 posted |
Apr 4 | Intro to eigenvalues | 6.1. | |
Apr 7 | Intro to eigenvalues | 6.1. | |
Apr 9 | Intro to eigenvalues | 6.1 | Quiz 6 solutions |
Apr 11 | Diagonalization of matrices | 6.2 | |
Apr 14 | Diagonalization of matrices: applications | HW6 due | |
Apr 16 | Midterm 3 | Midterm3 solutions | |
Apr 21 | Review | ||
Apr 23 | Applications to ODEs | 6.3 | |
Apr 25 | Applications to ODEs | 6.3 | |
May 2 | Final exam 7-9PM in BEB 348 |
Where does your score stand?
Doing well in this class
Although the prerequisites for the class are minimal, the material is dense and not trivial, especially if you have not seen mathematical proofs before. As is often the case in math courses, we will constantly build upon previous stuff; therefore, not leaving gaps in your understanding of the material is crucial for succeeding. This will require a sustained effort on your part, and in addition to attending lectures, you are encouraged to take advantage of instructor's office hours and the drop-in Math Learning Center. Of course, this is not a substitute for also working on your own; it is essential to think about the material, read the suggested texts, and solve homework problems by yourself. This last bit is a prerequisite to being able to solve problems under the pressure of a quiz or an exam.
Accessibility Needs
If you are a person with a disability and anticipate needing any type of accommodation in order to participate in this class, please advise me and make appropriate arrangements with the Office of Disability Services (304-293-6700).