Math441 Spring 2014

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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

Gilbert Strang's course website

Linear algebra notes

Linear Algebra Done Wrong, Treil
Linear Algebra -- wiki textbook

Web goodies

Wikipedia
Khan Academy

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).