MATH 131, Linear algebras, Spring 06.

Lecture: MWF 1:10-2pm at SPR 2361
Instructor: Marta Asaeda
Office: Serge 239
Phone:  951-827-7384
E-mail: marta_at_math.ucr.edu
Office hours: MW 2:10-3pm, or by appointment.
Course webpage: http://www.math.ucr.edu/~marta/math131, iLearn. It is recommended that you check announcement at iLearn often, especially around exam time.

Discussion:
sec002:  Tue 1:10pm-2:00am    SPR 2212
sec003: Tue 9:10am-10:00am   HMNSS 1401

TA: Jeffrey Morton
Office:  Surge 263
E-mail: morton_at_math.ucr.edu
Office hours:   ? or by appointment.

Textbook:  Linear Algebra, 3rd edition, by Fraleigh and Beuregard.

Quizzes: roughly every other week. 15min toward the end of the class.

Homework: assigned at each lecture, collected every Friday, unless otherwise is specified at some special circumstance.

Exams: There will be a midterm exam around 5th week. The date will be announced 2 weeks in advance. It will be during the regular class hour in the same room.  The final exam will be on Wednesday, 06/14/2006 3 to 6 p.m at our regular classroom.  No make up exams. An extra date for the exams can be granted only in the event of a documented medical situation or family emergency, the observance of a religious holiday. Timely contact the instructor. You should bring your UCR identification card to each exam.
All the exams are closed notes and books, no calculators allowed.

Grading: The final grade is determined by
50% of the final exam
30% of the midterm exam
20% of quizzes and homework, or of 70% of the final exam, whichever is higher. (i.e. suppose you got 100% on final, and you got only 50% of quizzes+homework, then the portion you get will be 20x0.7=14%. If you do perfect on quizzes+homework, you will get 20%.)

Points for each homework, quiz, and exam will be posted on iLearn as soon as it is graded. It is your responsibility to check it frequently and let me or Thao-Nhi know if there is anything wrong (such as missing grade even though you submitted homework, etc) as soon as possible. Do not wait till the term grade is given: it gets more complicated.

Materials to be covered:
  
Vectors, matrices and systems of linear equations  1.1--1.6
Euclidean vectors, norm and dot product, matrices and their algebra, solving
systems of linear equations, inverses of square matrices, homogeneous systems,
their solution subspaces and bases for the latter.

Dimension, rank and linear transformations 2.1--2.4
Independence and dimension, the rank of a matrix, linear transformations of
Euclidean spaces, specialization to the plane.

Vector spaces 3.1--3.5
The abstract notion of a vector space, generalization of linear algebraic con-
cepts from ordinary vector algebra, coordinatization of vectors, linear trans-
formations, inner product spaces.

Determinants  4.1--4.4
2x2 and 3x3 determinants and their relations to areas, volumes and cross
products, the determinant of a general square matrix, compuations of deter-
minants and Cramer's rule.