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\begin{document}
\begin{center}
{\LARGE MATH 250\ \ MATH ANALYSIS III \ \ FALL 2004} \\[5mm] Lecture
\ \ MWF 10:00am - 10:50am \ \ JR 245 \\[2mm] Instructor: Alexander
Alekseenko, FOB130 ,\\[2mm] phone: (818) 677-2645 \\[2mm] e-mail:
alexander.alekseenko@csun.edu \\[2mm] web:
www.csun.edu/$\tilde{~}$ama5348/
\end{center}

\textbf{Textbook.}
D.~Varberg, E.J.~Purcell, and S.E.~Rigdon\textit{Calculus}, 8th Edition,
Prentice Hall, Upper Saddle River, New Jersey 07458, 2000.

\textbf{Course content.}
Cartesian coordinates; vectors; the cross product; lines and
curves in tree-space; velocity, acceleration, and curvature;
surfaces; cylindrical and spherical coordinates; functions of two
and more variables; partial derivatives; limits and continuity,
differentiability; directional derivatives; the chain rule;
tangent planes; max an min; Lagrange's method; double integral,
iterated integrals; double integral in polar coordinates; triple
integrals; vector fields, line integrals, independence of path,
Green's theorem in the plane.
3 credits. 3 classes per week, 3 midterms, 1 final exam.

\textbf{First two classes.} According to the university policy, a
student missing first two class meetings ``loses the right to
remain in the class roll and must formally withdraw from the
class''. Please, check the policies and regulations in the
University Catalog for details and, please, be present.

\textbf{Deadline to enroll.} Subject to availability you can add
to this course within first three weeks. Starting from week four
new enrollment will be allowed only in exceptional circumstances.

\textbf{Deadline to drop.} Last day to drop with no questions
asked is Friday, October 15, 2004. After this date dropping the class will
be permitted only in exceptional circumstances.

\textbf{Final.}
This semester the final exam falls on Wednesday, December 8, 2004,
10:15pm--12:15pm. The room will be announced later.

\textbf{Homework and quiz arrangements.} Homework problems are
listed for each section in the Lecture Schedule attached to the
syllabus. The homework will be randomly collected and some subset
from the problems will be graded. Generally, you will NOT be
knowing when you will be handing in the assignment so, please,
have them ready for each class. The purpose of homework is to
strengthen your skills and to give you better understanding of the
material through practice. (REMEMBER! Doing homework is crucial
for you performance: normally a B requires working out at least
85\% of problems.)

\textbf{Absence from exams.} Missing a midterm is permitted only for the most
compelling reason. Except in extraordinary situations, permissions should be
obtained in advance from the professor to miss an exam; otherwise you will be
awarded a 0. If you are excused from taking a midterm, you course grade will be
determined by giving extra weight to the final exam. Except in extremely
exceptional situations, a student who misses the final exam fails the course.

\textbf{Incompletes.} These are given only in exceptional circumstances.
The student must have satisfactorily completed all but a small portion of the
work in the course, have a compelling reason for the incomplete, and must have
a prior arrangements with the professor for how the incomplete will be removed,
well before the end of the term.

\textbf{Grading policy.}

Your course grade is based on (assuming that all grades are made out of 100):

1) Each from three midterms will give you 15\% of your Semester
Grade;

2) An accumulated grade for completing the homework is 15\% of Semester
grade;

3) Your performance on the final exam: The grade for the final
is 40\% of the Semester Grade.

Again, the final exam makes 40\%, each midterm makes 15\%, and homework makes 15\% of the Semester Grade.

\textbf{Bonus Rule:} If the Semester Grade turns out to be less then the grade for the
final, then {\it the grade for the final will be the grade for the
course}. In other words, you will always have the highest from two grades.
\\
Note: An S is equivalent to C or better.
\pagebreak

\begin{tabular*}{165.9mm}{||@{}c @{}|@{} c@{}|}
\hline \multicolumn{2}{c}{Week 1,  August 23 --- August 27, 2004}\\
\hline
\parbox{10mm}{M}&
\parbox[c][12mm]{150mm}{14.1: Cartesian coordinates in three-space. Distance.
Equation of a sphere. Graphs of an equation in 3-D.}\\ \hline
\parbox{10mm}{} &
\colorbox{gray80}{\parbox{152.9mm}{HW \textbf{14.1}:
1,5(a,c),7,8(b,c),11(a,b),13,14,15,17,19,23,25,27,30; LE \textbf{14.1}:
2,5(b),6,8(a),11(c),16,18, 24,26,28,31.}}\\
\hline
\parbox{10mm}{W}&
\parbox[c][6mm]{150mm}{14.2: Vectors in three-space. Direction angles and cosines.}\\
\hline
\parbox{10mm}{} &
\colorbox{gray80}{\parbox{152.9mm}{HW \textbf{14.2}:1,3,5,7,9,11,12,13,16,17,19,23,25(a),29,31,32;
LE \textbf{14.2}: 2,4,6,8,10,14,15,21,25(b),26,30,34. }}\\ \hline
\parbox{10mm}{F}&
\parbox[c][6mm]{150mm}{14.2: Equation of the plane.}\\
\hline
\parbox{10mm}{} &
\colorbox{gray80}{\parbox{152.9mm}{LE \textbf{Cont 14.2}: 14,15,21,25(b),26,30,34.}}\\
\hline
\multicolumn{2}{c}{Week 2, August 30 --- September 3, 2004}\\
\hline
\parbox{10mm}{M}&
\parbox[c][6mm]{150mm}{14.3: The cross product. Algebraic properties.}\\
\hline
\parbox{10mm}{} &
\colorbox{gray80}{\parbox{152.9mm}{HW \textbf{14.3}:
1(a,c),2,3,5,7,9,11,13,15,17,21,22 (?? 16);
LE \textbf{14.3}: 1(b,d),4,6,8,12,14,18.}}\\ \hline
\parbox{10mm}{W}&
\parbox[c][6mm]{150mm}{14.4: Lines and curves in three-space.}\\
\hline
\parbox{10mm}{} &
\colorbox{gray80}{\parbox{152.9mm}{HW \textbf{14.4}: 1,3,4,5,7,9,11,13,15,16,19,21,23,26;
LE \textbf{14.4}: 2,6,8,10,12,14,17,18,22,24.}}\\
\hline
\parbox{10mm}{F}&
\parbox[c][6 mm]{150mm}{14.5: Velocity, acceleration and curvature.}\\ \hline
\parbox{10mm}{} &
\colorbox{gray80}{\parbox{152.9mm}{HW \textbf{14.5}: 1,5,9,13,15,17,21,25,27,29,35,41,47,49;
LE \textbf{14.5}: 2,6,14,16,18,22,26,28,36,46.}}\\
\hline
\multicolumn{2}{c}{Week 3, September 6 --- September 10, 2004}\\
\hline
\parbox{10mm}{M}&
\parbox[c][7mm]{150mm}{Labor Day Holiday; all offices closed}\\
\hline
\parbox{10mm}{} &
\colorbox{gray80}{\parbox{152.9mm}{\hspace{152mm}}} \\
\hline
\parbox{10mm}{W}&
\parbox[c][6mm]{150mm}{14.6: Surfaces in three-space.}\\
\hline
\parbox{10mm}{} &
\colorbox{gray80}{\parbox{152.9mm}{HW \textbf{14.6}: 1,5,9,11,13,16,19;
LE \textbf{14.6}: 2,4,10,12,20.}}\\
\hline
\parbox{10mm}{F}&
\parbox[c][6mm]{150mm}{Midterm $\sharp$1.}\\
\hline
\parbox{10mm}{} &
\colorbox{gray80}{\parbox{152.9mm}{\hspace{152mm}}}\\
\hline
\multicolumn{2}{c}{Week 4, September 13 --- September 17, 2004}\\
\hline
\parbox{10mm}{M}&
\parbox[c][6 mm]{150mm}{14.7: Cylindrical and spherical coordinates.}\\ \hline
\parbox{10mm}{} &
\colorbox{gray80}{\parbox{152.9mm}{HW \textbf{14.7}: 3,5,7,9,11,13,15,17,19,21,23,27,29;
LE \textbf{14.7}: 2,8,10,12,16,18,24,28.}}\\
\hline
\parbox{10mm}{W}&
\parbox[c][6mm]{150mm}{15.1: Function of two or more variables. Graph of function.}\\
\hline
\parbox{10mm}{} &
\colorbox{gray80}{\parbox{152.9mm}{HW \textbf{15.1}: 1(e,f),3(b,c),5,7,11,15,17,19;
LE \textbf{15.1}: 2(e,f)6,8,12,16,18,22.}}\\
\hline
\parbox{10mm}{F}&
\parbox[c][6mm]{150mm}{15.2: Partial derivatives. Higher partial derivatives.}\\
\hline
\parbox{10mm}{} &
\colorbox{gray80}{\parbox{152.9mm}{HW \textbf{15.2}: 1,5,7,9,11,13,15,17,19,25,27,33,37,38;
LE \textbf{15.2}: 2,4,8,12,18,28,34}}\\
\hline
\multicolumn{2}{c}{Week 5, September 20 --- September 24, 2004}\\
\hline
\parbox{10mm}{M}&
\parbox[c][6 mm]{150mm}{15.3: Limits and continuity. Continuity on a set.}\\ \hline
\parbox{10mm}{} &
\colorbox{gray80}{\parbox{152.9mm}{HW \textbf{15.3}: 1,3,5,7,9,11,13,15,17,19,21,23,27(a,d);
LE \textbf{15.3}: 2,4,8,10,12}}\\
\hline
\parbox{10mm}{W}&
\parbox[c][6mm]{150mm}{15.3: cont. Equality of second
partial derivatives.}\\
\hline
\parbox{10mm}{} &
\colorbox{gray80}{\parbox{152.9mm}{LE \textbf{15.3 cont.}: 16,20,22,26,27(f).}}\\ \hline
\parbox{10mm}{F}&
\parbox[c][6mm]{150mm}{15.4. Differentiability, gradient. Continuity versus differentiability.}\\
\hline
\parbox{10mm}{} &
\colorbox{gray80}{\parbox{152.9mm}{HW \textbf{15.4}: 1,3,5,7,9,11,13,15,17,19 (??18);
LE \textbf{15.4}: 2,4,6,12,14,16,18}}\\
\hline
\end{tabular*}
\newpage

\begin{tabular*}{165.9mm}{||@{}c @{}|@{} c@{}|}
\hline \multicolumn{2}{c}{Week 6, September 27 --- October 1, 2004}\\
\hline
\parbox{10mm}{M}&
\parbox[c][12mm]{150mm}{15.5: Directional derivatives and gradients.}\\ \hline
\parbox{10mm}{} &
\colorbox{gray80}{\parbox{152.9mm}{HW \textbf{15.5}: 1,3,5,7,9,11,13,17,23,25,28;
LE \textbf{15.5}: 2,4,8,10,12,14,18,21,24.}}\\
\hline
\parbox{10mm}{W}&
\parbox[c][6mm]{150mm}{15.6: The chain rule. Implicit functions.}\\
\hline
\parbox{10mm}{} &
\colorbox{gray80}{\parbox{152.9mm}{HW \textbf{15.6}:1,3,5,7,9,11,13,15,21,23,25;
LE \textbf{14.2}: 4,6,8,10,14. }}\\ \hline
\parbox{10mm}{F}&
\parbox[c][6mm]{150mm}{15.6 cont.: The chain rule. Implicit functions.}\\
\hline
\parbox{10mm}{} &
\colorbox{gray80}{\parbox{152.9mm}{LE \textbf{15.6 cont.}: 16,22,26.}}\\
\hline
\multicolumn{2}{c}{Week 7, October 4 --- October 8, 2004}\\
\hline
\parbox{10mm}{M}&
\parbox[c][6 mm]{150mm}{15.7: Tangent planes. Differentials and approximations.}\\ \hline
\parbox{10mm}{} &
\colorbox{gray80}{\parbox{152.9mm}{HW \textbf{15.7}:1,3,5,7,9,11,13,17;
LE \textbf{15.7}: 2,6,10. }}\\
\hline
\parbox{10mm}{W}&
\parbox[c][6mm]{150mm}{15.7 cont.: Tangent planes. Differentials and approximations. Review.}\\
\hline
\parbox{10mm}{} &
\colorbox{gray80}{\parbox{152.9mm}{LE \textbf{15.7 cont.}: 14,16.}}\\ \hline
\parbox{10mm}{F}&
\parbox[c][6mm]{150mm}{Midterm $\sharp$2.}\\
\hline
\parbox{10mm}{} &
\colorbox{gray80}{\parbox{152.9mm}{\hspace{152mm}}}\\
\hline
\multicolumn{2}{c}{Week 8, October 11 --- October 15, 2004}\\
\hline
\parbox{10mm}{M}&
\parbox[c][6 mm]{150mm}{15.8: Maxima and minima. Critical point theorem. Second partial derivatives test.}\\ \hline
\parbox{10mm}{} &
\colorbox{gray80}{\parbox{152.9mm}{HW \textbf{15.8}: 1,3,5,7,9,11,13,15,21,27;
LE \textbf{15.8}: 2,4,8.}}\\
\hline
\parbox{10mm}{W}&
\parbox[c][6mm]{150mm}{15.8 cont.: Maxima and minima. Second partial derivatives test.}\\
\hline
\parbox{10mm}{} &
\colorbox{gray80}{\parbox{152.9mm}{LE \textbf{15.8 cont.}: 10,12,22,24.}}\\ \hline
\parbox{10mm}{F}&
\parbox[c][6mm]{150mm}{15.9: Lagrange's method. }\\
\hline
\parbox{10mm}{} &
\colorbox{gray80}{\parbox{152.9mm}{HW \textbf{15.9}: 1,3,5,7,8,19;
LE \textbf{15.9}: 2,4,6.}}\\
\hline
\multicolumn{2}{c}{Week 9, October 18 --- October 22, 2004}\\
\hline
\parbox{10mm}{M}&
\parbox[c][6 mm]{150mm}{15.9 cont.: Lagrange's method.}\\ \hline
\parbox{10mm}{} &
\colorbox{gray80}{\parbox{152.9mm}{LE \textbf{15.9 cont.}: 10,16,17.}}\\
\hline
\parbox{10mm}{W}&
\parbox[c][6mm]{150mm}{16.1: Double integrals over rectangles. Graph of function.}\\
\hline
\parbox{10mm}{} &
\colorbox{gray80}{\parbox{152.9mm}{HW \textbf{16.1}: 1,3,5,7,9,15,17;
LE \textbf{16.1}: 2,6,10,16,18.}}\\ \hline
\parbox{10mm}{F}&
\parbox[c][6mm]{150mm}{16.2: Iterated integrals.}\\
\hline
\parbox{10mm}{} &
\colorbox{gray80}{\parbox{152.9mm}{HW \textbf{16.2}: 1,3,5,7,9,11,13,15,29,31,32;
LE \textbf{16.2}: 2,4,6,10.}}\\
\hline
\multicolumn{2}{c}{Week 10, October 25 --- October 29, 2004}\\
\hline
\parbox{10mm}{M}&
\parbox[c][6 mm]{150mm}{16.2 cont.: Iterated integrals.}\\ \hline
\parbox{10mm}{} &
\colorbox{gray80}{\parbox{152.9mm}{LE \textbf{16.2 cont.}:14,16,30.}}\\
\hline
\parbox{10mm}{W}&
\parbox[c][6mm]{150mm}{16.3: Double integrals over non-rectangular
regions. $X$-simple and $Y$-simple sets.}\\
\hline
\parbox{10mm}{} &
\colorbox{gray80}{\parbox{152.9mm}{HW \textbf{16.3}:
1,3,5,7,9,11,13,15,17,19,23,25,27,31,33,35; LE \textbf{16.3}: 2,6,8,12,14.}}\\ \hline
\parbox{10mm}{F}&
\parbox[c][6mm]{150mm}{16.3 cont.: Double integrals over non-rectangular
regions. $X$-simple and $Y$-simple sets.}\\
\hline
\parbox{10mm}{} &
\colorbox{gray80}{\parbox{152.9mm}{LE \textbf{16.3 cont.}: 16,20,22,32,34.}}\\
\hline
\end{tabular*}
\newpage
\begin{tabular*}{165.9mm}{||@{}c @{}|@{} c@{}|}
\hline
\multicolumn{2}{c}{Week 11, November 1 --- November 5, 2004}\\
\hline
\parbox{10mm}{M}&
\parbox[c][6mm]{150mm}{16.4: Double integrals in polar coordinates. Probability integrals.}\\
\hline
\parbox{10mm}{} &
\colorbox{gray80}{\parbox{152.9mm}{HW \textbf{16.4}: 1,3,5,7,9,11,13,15,17,21;
LE \textbf{16.4}: 2,4,6,8.}} \\
\hline
\parbox{10mm}{W}&
\parbox[c][6mm]{150mm}{16.4 cont.: Double integrals in polar coordinates. Probability integrals..}\\
\hline
\parbox{10mm}{} &
\colorbox{gray80}{\parbox{152.9mm}{LE \textbf{16.4 cont.}: 12,16,18.}}\\
\hline
\parbox{10mm}{F}&
\parbox[c][6mm]{150mm}{16.5: Applications of double integrals.
Center of mass, moment of inertia, radius of gyration.}\\
\hline
\parbox{10mm}{} &
\colorbox{gray80}{\parbox{152.9mm}{HW \textbf{16.5}: 1,3,5,7,9,11,13;
LE \textbf{16.5}: 2,6,8,10,12,14.}}\\
\hline
\multicolumn{2}{c}{Week 12, November 8 --- November 12, 2004}\\
\hline
\parbox{10mm}{M}&
\parbox[c][6mm]{150mm}{16.6: Surface area.}\\
\hline
\parbox{10mm}{} &
\colorbox{gray80}{\parbox{152.9mm}{HW \textbf{16.6}: 1,3,5,7,9,11; LE \textbf{16.6}: 2,4,6,8.}} \\
\hline
\parbox{10mm}{W}&
\parbox[c][6mm]{150mm}{16.7: Triple integrals. Mass and center of mass.}\\
\hline
\parbox{10mm}{} &
\colorbox{gray80}{\parbox{152.9mm}{HW \textbf{16.7}: 1,3,5,7,9,11,13,19,21,23,25,27,29;
HW \textbf{16.7}: 2,4,12,20,22,24,28.}}\\
\hline
\parbox{10mm}{F}&
\parbox[c][6mm]{150mm}{Midterm $\sharp$ 3 }\\
\hline
\parbox{10mm}{} &
\colorbox{gray80}{\parbox{152.9mm}{\hspace{152mm}}}\\
\hline
\multicolumn{2}{c}{Week 13, November 15 --- November 19, 2004}\\
\hline
\parbox{10mm}{M}&
\parbox[c][11mm]{150mm}{16.8: Triple integrals in spherical and cylindrical coordinates. Change variables in multiple
integrals.} \\
\hline
\parbox{10mm}{} &
\colorbox{gray80}{\parbox{152.9mm}{HW \textbf{16.8}: 1,3,5,7,9,17(a,b),19,23,24;
LE \textbf{16.8}: 2,4,10,12.}}\\
\hline
\parbox{10mm}{W}&
\parbox[c][11mm]{150mm}{16.8 cont.: Triple integrals in spherical and cylindrical coordinates. Change variables in multiple
integrals.}\\
\hline
\parbox{10mm}{} &
\colorbox{gray80}{\parbox{152.9mm}{LE \textbf{16.8 cont.}: 14,16,22.}} \\
\hline
\parbox{10mm}{F}&
\parbox[c][6mm]{150mm}{17.1: Vector fields. Gradient of a scalar field. Divergence and curl of a vector field.}\\
\hline
\parbox{10mm}{} &
\colorbox{gray80}{\parbox{152.9mm}{HW \textbf{17.1}:
1,3,5,7,11,13,15,17,18,19,20(a,b); LE \textbf{17.1}: 2,4,8,14,16,20(c). }}\\
\hline
\multicolumn{2}{c}{Week 14, November 22 --- November 26, 2004}\\
\hline
\parbox{10mm}{M}&
\parbox[c][6mm]{150mm}{17.2: Line integrals. Work.}\\
\hline
\parbox{10mm}{} &
\colorbox{gray80}{\parbox{152.9mm}{HW \textbf{17.2}: 1,3,5,7,9,11,13,19,21,23;
LE \textbf{17.2}: 2,4,6,12,14,20,22,30.}}\\
\hline
\parbox{10mm}{W}&
\parbox[c][6mm]{150mm}{17.4 Green's theorem in the plane. Vector forms of Green's theorem.}\\
\hline
\parbox{10mm}{} &
\colorbox{gray80}{\parbox{152.9mm}{HW \textbf{17.4}: 1,3,5,7,9,11,14,15,17,20;
LE \textbf{17.4}: 2,6,8,10,16,19.}}\\
\hline
\parbox{10mm}{F}&
\parbox[c][7mm]{150mm}{Thanksgiving Holidays}\\
\hline
\parbox{10mm}{} &
\colorbox{gray80}{\parbox{152.9mm}{\hspace{152mm}}}\\
\hline
\multicolumn{2}{c}{Week 15, November 29 --- December 3, 2004}\\
\hline
\parbox{10mm}{M}&
\parbox[c][7mm]{150mm}{17.3: Independence of path. Fundamental theorem of line integrals. Recovering a
function from its gradient. Conservation of energy.}\\
\hline
\parbox{10mm}{} &
\colorbox{gray80}{\parbox{152.9mm}{HW \textbf{17.3}: 1,3,5,7,9,11,13,15,17;
LE \textbf{17.3}: 2,4,6,8,12,14.}} \\
\hline
\parbox{10mm}{W}&
\parbox[c][7mm]{150mm}{Review}\\
\hline
\parbox{10mm}{} &
\colorbox{gray80}{\parbox{152.9mm}{\hspace{152mm}}} \\
\hline
\parbox{10mm}{F}&
\parbox[c][6mm]{150mm}{Review}\\
\hline
\parbox{10mm}{} &
\colorbox{gray80}{\parbox{152.9mm}{\hspace{152mm}}}\\
\hline
\hline
\multicolumn{2}{c}{Final: Wednesday, December 8, 2004, 10:15pm--12:15pm.}\\
\hline
\hline
\end{tabular*}

\end{document}
