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{\bf MATH 230 SYLLABUS (REVISED)}\nl
{\bf Spring 1994}

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{\it Section:} 230.3; Monday, Wednesday, Thursday, Friday,
11:15 AM to 12:05 PM; 273 Willard.

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{\it Instructor:} Stephen G. Simpson; 333 McAllister; 863--0775.

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{\it Office Hours:} Mondays 3:15--4:30 PM, Thursdays 2:45-4:30 PM.

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{\bf NOTE: Stephen G. Simpson is not to be confused with Todd A. Simpson,\nl
the instructor of another section of Math 230.}

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{\it Course Description:}
MATH 230.  CALCULUS AND VECTOR ANALYSIS (4 credits).\nl
Three-dimensional analytic geometry; vectors in space; partial
differentiation; double and triple integrals; integral vector
calculus.

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{\it Prerequisite:} MATH 141.

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{\it Textbook:} C. H. Edwards, Jr. and D. E. Penney,
{\it Calculus and Analytic Geometry},
\rm Third Edition, Prentice--Hall, 1990.

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January 10--14.  \S\S 13.3--13.5.\nl
Vectors in the plane; position, velocity, and acceleration vectors;
projectiles; polar coordinates; radial and transverse components of
velocity and acceleration; Kepler's laws.

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{\bf QUIZ \#1}, Monday, January 17.

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January 17--21.  \S\S 14.1--14.4.\nl
Vectors in space; vector products; lines and planes in space; curves
and moving points in space.

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January 24--28.  \S\S 14.5, 14.7.\nl
Curvature; normal component of acceleration; cylindrical and spherical
coordinates.

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{\bf QUIZ \#2}, Monday, January 31.

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January 31 -- February 4.  \S\S 15.1--15.4, 15.5, 15.10.\nl
Partial derivatives; maxima and minima for functions of several
variables; second derivative test.

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{\bf FIRST MIDTERM EXAM}, Wednesday, February 9, 6:30--7:45 PM

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February 7--11.  \S\S 15.6, 15.7.\nl
Differentials, chain rule; gradients; directional derivatives.

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{\bf QUIZ \#3}, Monday, February 14.

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February 14--18.  \S\S 15.8, 15.9.\nl
More on maxima and minima; Lagrange multipliers.

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February 21--25.  \S\S 16.1, 16.2.\nl
Double integrals; double integrals over general regions.

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{\bf QUIZ \#4}, Monday, February 28.

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February 28 -- March 4.  \S\S 16.3, 16.4.\nl
Double integrals; area and volume; polar coordinates; change of
variables.

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March 7--11.  {\bf SPRING BREAK.}

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March 14--18.  \S\S 16.5, 16.8, 16.9.\nl
Surface area; change of variables.

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{\bf SECOND MIDTERM EXAM}, Monday, March 21, 6:30--7:45 PM

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March 21--25.  \S\S 16.6, 16.7, 16.9.\nl
Triple integrals.  Cylindrical and spherical coordinates; change of
variables.

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March 28--April 1.  \S\S 17.1, 17.2, 17.3.\nl
Vector fields; line integrals; potential functions.

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{\bf QUIZ \#5}, Monday, April 4.

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April 4--8. \S\S 17.3, 17.4.\nl
Path-independent line integrals; Green's theorem.

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April 11--15.  \S\S 17.5, 17.6.\nl
Surface integrals; orientable surfaces; the Divergence theorem.

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{\bf QUIZ \#6}, Monday, April 18.

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April 18--22.  \S\S 17.6, 17.7.\nl
Stokes' theorem.  Examples.

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April 25--29.\nl
Catch up and review.

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{\bf FINAL EXAM} (date and time to be announced).

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\+ Grades: &Quizzes, homework &&100\cr
\+ &Midterm Exams&&$2\times 100 = 200$ \cr
\+ &Final Exam&&150 \cr
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\+ &Total &&450 \cr

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