MATH 230 SYLLABUS (REVISED)
Spring 1994

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

Instructor: Stephen G. Simpson; 333 McAllister; 863--0775.

Office Hours: Mondays 3:15--4:30 PM, Thursdays 2:45-4:30 PM.

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

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

Prerequisite: MATH 141.

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


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

QUIZ 1, Monday, January 17.

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

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

QUIZ 2, Monday, January 31.

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

FIRST MIDTERM EXAM, Wednesday, February 9, 6:30--7:45 PM

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

QUIZ 3, Monday, February 14.

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

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

QUIZ 4, Monday, February 28.

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

March 7--11.  SPRING BREAK.

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

SECOND MIDTERM EXAM, Monday, March 21, 6:30--7:45 PM

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

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

QUIZ 5, Monday, April 4.

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

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

QUIZ 6, Monday, April 18.

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

April 25--29.
Catch up and review.

FINAL EXAM (date and time to be announced).