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{\LARGE {Mathematics 3A, Section A, Spring 1998}}
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Teaching Assistant:m\= \kill
Instructor:          \> Marcel Oliver \\
E-mail:              \> oliver@math.uci.edu \\
Web Archive:         \>
  http:/\kern -2pt/www.math.uci.edu/\~{ }moliver/teaching.html \\
Office:              \> PS 469 \\
Office Hours:        \> MWF 2:00--2:50 p.m.\ or by appointment.
\\[3pt]
Teaching Assistant: \> Myung Yun \\
E-mail:             \> myun@math.uci.edu \\
Office:             \> PST 108 \\
Office Hours:       \> TBA
\\[3pt]
Lectures:           \> MWF 1:00--1:50 p.m.\ in ET 202 \\
Discussion Group:   \> TTh 1:00--1:50 p.m.\ in PST 116 
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\begin{description}
\item[Text:] Fraleigh and Beauregard, \emph{Linear Algebra}, 3rd
Edition.  The course may deviate from the book in content and form.
\emph{Relevant for the exams is the material taught in lectures}.

\item[Grading:] The final grade of this course will be computed as a
weighted grade-point average of the following:

\quad
\begin{tabular}{ll}
Homework and Quizzes    & 30\% \\
Midterm Exam            & 30\% \\
Final Exam              & 40\% 
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If the final exam is better than the average grade, the final exam
grade will become the overall grade for the class.

\item[Quizzes:] Quizzes will be given every Thursday in the discussion
session.  They cover the homework material due that day.   

\item[Homework:] The homework assignments for this quarter are given
on a separate handout, which may be periodically revised.

Homework is arguably the most important component of any math class.
Mathematics can only be learned by doing it---if you keep up with your
weekly homework assignments, your success in Linear Algebra is
guaranteed!

Due to the large number of students per TA, only one or two selected
homework problems will be formally graded.  However, the TA will
informally read everything you submit, add 2 points to the regular
quiz/homework score (out of a maximum of 10 points) for clean and
complete work, leave the score unchanged, or subtract 2 points for
very sloppy or missing homework.  The lowest two weekly scores will be
deleted at the end of the quarter.

\item[Exams:] All exams are closed notes and books.  No calculators
are allowed.  Picture ID with signature is required and must be
presented upon request.

\item[Partial Credit:] Partial credit for incomplete answers will only
be given if you did complete a substantial fraction which demonstrates
your understanding of the material.  However, on all quizzes and exams
you have the \emph{give up option}: If you clearly write the words
``Give Up'' underneath your answer, it will not be read (whether wrong
or right) and you will receive 20\% of the maximum score by default.

\item[Missed Work:] Late homework and quizzes will not be accepted
{\em under any circumstances} as they pose undue burden on the
Teaching Assistant.  Also, the TA is instructed \emph{not} to give
extra credit problems, so please don't ask for it.  If you miss an
exam and have a well-documented excuse showing that for reasons beyond
your control it was absolutely impossible for you to take the exam at
the scheduled date, it will be rescheduled at a later date and a
commensurate penalty will be assessed.

\item[Electronic Resources:] I will make regular use of the class
  mailing list.  My teaching web page is intended mainly as a
  repository for class handouts and as a link to the mailing list
  archives.

\item[Course Calendar:] The following is subject to change.  Sections
where the lecture is expected to deviate significantly from the book
are written in parentheses.

\end{description}
\begin{tabular*}{\textwidth}{lll@{\extracolsep{\fill}}}
Date & Section & Topic \\
\hline
\rule{0pt}{16pt}%
M 4/6  & 1.1        & Introduction; Vectors in Euclidean Space  \\
W 4/8  & 1.2        & The Norm and the Dot Product in $\mathbb{R}^n$  \\
F 4/10 & 1.3        & Matrices and Their Algebra \\[3pt]

M 4/13 & (1.1)      & Linear Combinations and Spans in $\mathbb{R}^n$  \\
W 4/15 & (1.4)      & Systems of Linear Equations;
                      Gauss-Jordan Elimination \\
F 4/17 & 1.5        & Inverses of Square Matrices \\[3pt]

M 4/20 & (1.6)      & Homogeneous Systems;
                      Subspaces and Bases in $\mathbb{R}^n$ I \\
W 4/22 & (1.6)      & Homogeneous Systems;
                      Subspaces and Bases in $\mathbb{R}^n$ II \\
F 4/24 & (2.1)      & Linear Independence and Dimension in
                      $\mathbb{R}^n$ I \\[3pt]

M 4/27 & (2.1), 2.2 & Linear Independence and Dimension in
                      $\mathbb{R}^n$ II; Rank of a Matrix \\
W 4/29 & 2.3        & Linear Transformations of Euclidean Spaces \\
F 5/1  & 3.1        & (Abstract) Vector Spaces \\[3pt]

M 5/4  & 3.2        & Linear Combinations, Spans, Independence, Subspaces \\
W 5/6  & 3.2, 3.3   & Basis, Dimension;
                      Coordinates of a Vector Relative to a Basis \\
F 5/8  &            & Review \\[3pt]

M 5/11 &            & {\bf Midterm Exam} \\
W 5/13 & 3.4        & Linear Transformations in a Vector Space \\
F 5/15 & 4.1, 4.2   & 2-by-2 and 3-by-3 Determinants;
                      Determinants via ``Minors'' I \\[3pt]

M 5/18 & 4.2        & Determinants via ``Minors'' II \\
W 5/20 & 4.3        & Computation of Determinants, Cramer's Rule \\
F 5/22 & 5.1        & Eigenvalues and Eigenvectors \\[3pt]
                  
W 5/27 & 5.2        & Diagonalization \\
F 5/29 & 5.3        & Application to Systems of ODEs \\[3pt]

M 6/1  & 6.1        & Projections \\
W 6/3  & 6.2, 6.3   & Gram-Schmidt Orthonormalization;
                      Orthogonal Matrices \\
F 6/5  & (7.1)      & Coordinatization and Change of Basis I \\[3pt]

M 6/8  & (7.1)      & Coordinatization and Change of Basis II \\
W 6/10 & (7.2)      & Matrix Representations and Similarity \\
F 6/12 &            & Review \\[3pt]

W 6/17 &            & {\bf Final Exam}, 1:30--3:30 p.m.

\end{tabular*}
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