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{\LARGE {Mathematics 3A, Section B, Spring 1997}}
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Teaching Assistant:m\= \kill
Instructor:          \> Marcel Oliver \\
E-mail:              \> oliver@math.uci.edu \\
Office:              \> PS 469 \\
Office Hours:        \> MF 10:30--11 a.m., 2:00--2:30 p.m.; W
                        12:00--1:00 p.m. \\
\\
Teaching Assistant: \> Yusuf Gurtas \\
E-mail:             \> ygurtas@math.uci.edu \\
Office:             \> PST 221 \\
Office Hours:       \> TTh 10:00--11:00 a.m. \\
\\
Lectures:           \> MWF 11:00--11:50 a.m.\ in PST 116 \\
Discussion Group:   \> TTh 11:00--11:50 a.m.\ in PS 104
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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:

\begin{tabular}{ll}
Homework and Quizzes    & 20\% \\
Midterm Exam            & 30\% \\
Final Exam              & 50\% 
\end{tabular}

As usual A=4.0, B=3.0 etc.; the modifiers $+$ and $-$ are worth
$\pm$0.3 points from the regular letter grade.  If the final exam
grade is better than the average grade, it will become the overall
grade of the class.  It is necessary to pass the final exam (D$-$ or
better) in order to pass the class.

\item[Homework:] The homework assignments for this quarter are given
on a separate handout, which may be periodically revised.  Due to the
large number of students per TA, only selected problems will be
formally graded.  These will be announced during lectures.  However,
the TA will informally read everything you submit and assign one of
the marks $+$, $\circ$ or $-$ denoting good, sufficient or
insufficient work.

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

Homework and Quiz scores will be combined into one weekly score.  The
two lowest weekly scores of the quarter will be deleted before the
final grade is computed.

The purpose of homework and quizzes is not to evaluate your
performance, but to give you some feedback on how well you understand
the course material.  It is ultimately at your discretion if you
accept this offer.  Remember that mathematics is learned by doing.  If
you do the homework regularly and conscientiously, your success in
Calculus is guaranteed!

\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
\emph{under any circumstances} as they pose undue burden on the
Teaching Assistant.  Early exams will not be granted for similar
reasons.  If you have a well-documented excuse showing that for
reasons beyond your control it was absolutely impossible for you to
take an exam, it will be rescheduled at a later date and a
commensurate penalty will be assessed.

\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 3/31 & 1.1        & Introduction; Vectors in Euclidean Space  \\
W 4/2  & 1.1        & Linear Combinations and Spans in $\mathbb{R}^n$ \\
F 4/4  & 1.2        & The Norm and the Dot Product in $\mathbb{R}^n$ \\[3pt]

M 4/7  & 1.3        & Matrices and Their Algebra  \\
W 4/9  & (1.4)      & Systems of Linear Equations;
                      Gauss-Jordan Elimination \\
F 4/11 & 1.5	    & Inverses of Square Matrices \\[3pt]

M 4/14 & (1.6)	    & Homogeneous Systems;
                      Subspaces and Bases in $\mathbb{R}^n$ I \\
W 4/16 & (1.6)	    & Homogeneous Systems;
                      Subspaces and Bases in $\mathbb{R}^n$ II \\
F 4/18 & (2.1)      & Linear Independence and Dimension in
                      $\mathbb{R}^n$ I \\[3pt]

M 4/21 & (2.1), 2.2 & Linear Independence and Dimension in
                      $\mathbb{R}^n$ II; Rank of a Matrix \\
W 4/23 & 2.3        & Linear Transformations of Euclidean Spaces \\
F 4/25 & 3.1        & (Abstract) Vector Spaces \\[3pt]

M 4/28 & 3.2	    & Linear Combinations, Spans, Independence, Subspaces \\
W 4/30 & 3.2, 3.3   & Basis, Dimension;
                      Coordinates of a Vector Relative to a Basis \\
F 5/2  &            & Review \\[3pt]

M 5/5  &            & {\bf Midterm Exam} \\
W 5/7  & 3.4 	    & Linear Transformations in a Vector Space \\
F 5/9  & 4.1, 4.2   & 2-by-2 and 3-by-3 Determinants;
                      Determinants via ``Minors'' I \\[3pt]

M 5/12 & 4.2        & Determinants via ``Minors'' II \\
W 5/14 & 4.3	    & Computation of Determinants, Cramer's Rule \\
F 5/16 & 5.1	    & Eigenvalues and Eigenvectors \\[3pt]
                  
M 5/19 & 5.2        & Diagonalization \\
W 5/21 & 5.3        & Application to Systems of ODEs \\
F 5/23 & 6.1        & Projections \\[3pt]

W 5/28 & 6.2, 6.3   & Gram-Schmidt Orthonormalization;
                      Orthogonal Matrices \\
F 5/30 & (7.1)      & Coordinatization and Change of Basis I \\[3pt]

M 6/2  & (7.1)      & Coordinatization and Change of Basis II \\
W 6/4  & (7.2)      & Matrix Representations and Similarity \\
F 6/6  &            & Review \\[3pt]

W 6/11 &            & {\bf Final Exam}, 10:30 a.m.--12:30 p.m.

\end{tabular*}
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