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{\bf Math 226: Calculus IV \hfill Spring 1993}


\centerline{\bf Course Information}


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TEXTS:

{\parindent=10pt
\item{$\cdot$} Shaum's Outline Series: Matrix Operations, Chapters 1, 2, 4, 5, 6, 11.

\item{$\cdot$} Boyce \& DiPrima, Elementary Differential Equations and Boundary
Value Problems, {\sl Fifth Edition}, Chapters 1, 2, 3, 5 with some
sections omitted.

\item{$\cdot$} Lecture Notes
}

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EXAM SCHEDULE:  There will be three one-hour exams and a two hour
final on the following dates:
$$\vbox{\halign{#\ \hfil&#\hfil\cr
Exam I &Thursday, February 11, 8:00 A.M.\cr
Exam II &Thursday, March 18, 8:00 A.M.\cr
Exam III &Tuesday, April 20, 8:00 A.M.\cr
Final &Wednesday,  May 5, 7:30 P.M.\cr
}}$$
The exam locations will be announced. {\sl Exams may be made up only
with an excused absence from the Associate Vice President for
Residential Life.} Conflicts with exams in other courses must be resolved
during the first week of classes.

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QUIZZES: There will be a short quiz given every week in the tutorials,
except for exam weeks, the week of April 5-9, and the final week of classes. Each quiz is worth 5 points. You may only attend the tutorial assigned to you.

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ASSIGNMENTS: There will be five assignments due on the following dates:
$$\vbox{\halign{#\hfil\cr
Assignment 1: Monday, February 8\cr
Assignment 2: Monday, March 1\cr
Assignment 3: Monday, March 29\cr
Assignment 4: Monday, April 19\cr
}}$$
The assignments can be found in the course directory and must be
prepared using {\sl Mathematica}. The assignments should be entirely
your own work and you should not work on them with other students.
Each assignment is worth 10 points.

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COMPUTERS: You will be expected to use your computer account on
the NeXT workstations for e-mail and to work out assignments using
{\sl Mathematica}.  These workstations can be found in two clusters in
CCMB and in the cluster in Fitzpatrick. You can obtain your password
at the Information Resource Center, 1st floor CCMB.

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GRADES:  Grades will be based on a total of 550 points broken down as follows:
$$\vbox{\halign{#\ \hfil&#\ \hfil&#\hfil\cr
Exam I--III &3 @ 100  &= 300\cr
Final &&= 150\cr
Quizzes &9 @ 5 + 5 free &= 50\cr
Assignments &4 @ 10 + 10 free &= 50\cr
}}$$

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OFFICE HOURS: The offices are in the Mathematics Building:
$$\vbox{\halign{#\ \hfil&#\hfil\ &#\hfil\cr
Dennis Snow &CCMB 203&MW 4--5 P.M.\cr
Birgit Galemann &CCMB 363&WF 3--4 P.M.\cr
Yanghyun Byun &CCMB 316& H 2--4 P.M.\cr
Julie Wang &CCMB 342&MW 2--3 P.M.\cr
}}$$

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SUGGESTED EXERCISES:
\def\week{\noalign{\hrule}}
$$\vbox{\halign to \hsize{\strut#\quad\hfil&#\quad\hfil&#\quad\hfil\cr
{\sl Week}&{\sl Section}&{\sl Exercises}\cr
\week
Jan 13&M1 Basic Matrix Operations&p.10 19--35\cr 
&M2 Linear Equations&p.22 15 18 21--24\cr
\week
Jan 18&M2 Gaussian Elimination&p.23 28 29 30\cr
&M4 Matrix Inversion&p.41 15--25 27 28\cr
\week
Jan 25&M5 Determinants&p.51 21 23 25 27 28\cr
&M6 Linear Dependence&p.58 15--24\cr
&M6 Linear Independence&p.59 25 26 27 29 32\cr
\week
Feb 1&M11 Gram-Schmidt&p.109 15 17 19 20 21 23\cr
&1.1--1.2 Intro. to Diff. Eqns.&p.9 1 3 5 7 10 12 15--18 21--29\cr
&2.1 Linear Equations&p.22 2 3 4 7 8 9 12 13 21 22\cr
\week
Feb 8&2.2 Linear Equations&p.28 1 3 5 6 8 11 14 16 27 29\cr
&2.3 Separable Equations&p.35 1 3 5 7 10 12 14 15 19 21\cr
\week
Feb 15&2.4 Non-linear Equations&p.41 1 3 5 7 13 14 odd\cr
&2.5 Applications of 1st Order Eqns.&p.49 5 7 14 21 22\cr
&2.6 Population Dynamics&p.62 1--4 20--22 24\cr
\week
Feb 22&2.7 Problems in Mechanics&p.72 3 7 9 13 15 17\cr
&2.8 Exact Eqns. \& Int. Factors&p.80 1--15 odd 19 25--28 30\cr
\week
Mar 1&2.9 Homogeneous Equations&p.84 1 3 4 5 9\cr
&3.2 Fundamental Solns.&p.129 1--3 6 7--10 13 14 16\cr
\week
Mar 15&3.3 Linear Independence&p.135 1 2 4 7\cr
&3.5 Reduction of Order&p.150 1 3 5 18 20 23 25\cr
\week
Mar 22&3.1 Constant Coeffs.&p.120 1 3 5 7 9--14 17--19 23 24 27 29 30\cr
&3.4 Complex Numbers&p.142 8 10 17--19\cr
&3.6 Undetermined Coefficients&p.162 7 12--14 20 22\cr
\week
Mar 29&3.7 Variation of Parameters&p.168 1 3 5 15 18\cr
&3.8 Free Vibrations&p.181 1--11 odd\cr
\week
Apr 5&5.1 Power Series&p.216 1--6 9--17 19--22 24\cr
&5.2 Series Solns.: Ord. Pt.&p.226 2--5 15\cr
\week
Apr 12&5.3 Series Solns.: Ord. Pt.&p.232 1 5--8 11\cr
\week
Apr 19&5.4 Reg. Singular Points&p.238 1 2 5 6 7 19 20\cr
&5.5 Euler Equations&p.246 1--6 23\cr
\week
Apr 26&5.6 Series Solns.: Reg. Sing. Pt. &p.252 1 3 5 11\cr
&5.7  Series Solns.: Reg. Sing. Pt. &p.257 1--8 13 16\cr
\week
}}$$
The above schedule is approximate and may vary from the order the material is presented in class.


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