SYLLABUS – MA 3042 – Linear Algebra, Fall 2009
NPS, Dr. Pante Stanica
LECTURE: M-Th 10:00-10:50pm, Sp-221
INSTRUCTOR: Dr. Pante
STANICA, 268 Spanagel, 656-2714,
pstanica@nps.edu; http://faculty.nps.edu/pstanica
(I prefer to be contacted by email)
OFFICE HOURS: M,T,W,Th 11:00am-11:30am and/or by appointment (preferably,
before my 10am class, or after 1pm)
(Be aware that office hours are not a substitute for regular class time)
TEXT: Linear Algebra with Applications, 7th
edition, Steven J. Leon
Prerequisite: MA1042 or MA1114, or
equivalent familiarity with elementary matrix algebra.
CALCULATOR POLICY: Using a
CAS like Mathematica or Maple can give more insight
but it is not required.
MATERIAL TO BE COVERED (and Objectives for the
course—subject to be adjusted along the way):
1-1: Vector Spaces 3.1
1-2: Subspaces 3.2
2-4: Linear Independence 3.3
1-5: Basis and Dimension 3.4
2-7: Change of Basis 3.5
1-8: Row and Column Spaces 3.6
2-10: Linear Transformations 4.1
2-12: Matrix Representations of Linear Transformations 4.2
1-13: Similarity 4.3
1-14: Scalar Product in R^n 5.1
1-15: Orthogonal Subspaces 5.2
1-16: The Fundamental Subspaces Associated With a Matrix 5.2
2-18: Least Squares Problems 5.3
2-20: Inner Product Spaces 5.4
2-22: Orthonormal Sets 5.5
2-24: Gram-Schmidt Method, QR Factorization 5.6
2-26: Eigenvalues and Eigenvectors 6.1
1-27: Diagonalization 6.3
2-29: Hermitian Matrices 6.4
2-31: Singular Value Decomposition 6.5
1-32: Quadratic Forms 6.6
1-33: Positive Definite Matrices, the Cholesky
Factorization 6.7
1-34: Floating-Point Numbers 7.1
1-35: Gaussian Elimination Revisited, PA=LU 7.2
1-36: Pivoting Strategies 7.3
2-38: Matrix Norms, Condition Numbers 7.4
2-40: Orthogonal Transformations 7.5
4-44: Exams and Holidays
HOMEWORK: You are encouraged to do as many
problems as you can from the book. However the standard (default) assignment
for each week is to read carefully the indicated sections and to prepare for
homework the problems I will assign in class. The homework will not be collected.
However, the exams may contain problems from the assigned homework.
TESTS: One in-class midterm will be
given (possibly on October 21st or later) and a final comprehensive take-home
exam in Week 10 or 11 (to be returned one week later). Absolutely no collaboration
is allowed. Both the midterm and the final exam will contain approx. 10-20 prob/que (each of the prob/que
will be worth 5-10 points for a total of 80 points for the midterm and 120
points for the final). No make-up tests will be given except in extraordinary
circumstances (e.g. illness - present verified doctor's excuse). I reserve the
right to give in-class pop quizzes (1-5pts), which will be used toward the
final grade, as an add-on (extra credit) to the final score. If the test dates
will be changed I will announce it in class at least one week in advance. It is
your responsibility to stay informed of such changes.
GRADING: The number of possible points is 200 (quizzes could
push this over). For the letter grade I will use the following scale (be advised
that class participation will be considered, especially in the borderline
grades):
185-200: A
175-185: A-
170-174: B+
160-169: B
150-159: B-
140-149: C+
130-139: C
125-129: C-
120-124: D+
095-119: D
000-094: failing grade.
An unresolved absence from either of the two tests or the final examination
will result in a final grade of “FA”.
ACADEMIC HONESTY: Cheating in this course will
not be tolerated and will be dealt with as harshly as the University
permits. I will report any student behavior that appears contrary to the
standards of discipline and academic honesty or violations of the provisions
described in the current edition of NPS Student's Catalog.
CLASS ATTENDANCE AND ENVIRONMENT: You should do every
attempt to arrive on time and attend each class. You are responsible for the
material covered in missed classes. I do not tolerate any rude behavior;
however, I encourage constructive comments on the material and/or lecture. We
have to maintain a class environment conducive to learning therefore I am
against bringing “active” cell phones, pagers, and other similar
disruptive devices into the classroom.
NOTES:
* It is a bit of material to be covered at a fast pace, so do not fall behind.
* If it is necessary, there will be updates of
this handout. Make sure you check my homepage regularly for info on the course
(that is work in progress).
* Good luck !
I hope you will all learn Linear Algebra and make good grades!