MAT 238 Calculus III
Academic integrity policy
You probably have a copy of the following book from Calc II:
Calculus early transcendentals (3rd edition) by Jon Rogawski and Colin Adams.
Alternate online books:
Any standard printed Calculus book is useful.
Test dates are going to be announced here one week ahead of time:
Calculators are not needed for the tests. You can use basic (not scientific) calculators.
No other electronic devices (cell phones, mp3 players, watches, etc.) are allowed.
No books, notes, cheat sheets, etc. are allowed.
Please review the
test taking etiquette.
Test 4 Monday 5/1
includes: line integral of scalar and vector fields, surface integral of scalar and vector fields,
applications (length of curves, surface area, mass, center of gravity, work), conservative vector fields,
potential, curl=rot circulation density, divergence flux density, Green/Stokes Theorem, Divergence Theorem
Test 3 Wednesday 3/29
Lagrange multipliers, multiple integrals, iterated integrals, changing order of integration,
change of variables, integration using polar cylindrical spherical coordinates, applications, volume,
average value, mass, center of gravity
Test 2 Friday 3/3
arc length, multivariable functions, surfaces, tangent planes, contour plots,
limits, partial derivatives, functions form R^m to R^n, local linearization, derivative,
chain rule, directional derivatives, gradient, critical points, local extrema, second derivative test,
Test 1 Tuesday 2/7
includes: vectors, vector algebra, length, unit vectors, unitization, dot product, angle between
vectors, perpendicular vectors,
scalar projection, vector projection, parallel and perpendicular component,
distance from a line, distance from a plane, crossed product,
normal vectors, area using the crosssed product,
equations of lines in planes and in space, equations of planes,
Cylindrical and spherical coordinates,
vector functions, derivatives integrals of vector functions, motion in space
Bblearn has the course sylabus, handouts, summary sheets, discussion forum, etc.
Our department computer lab is in AMB 222.
Computers and free tutoring are also available in AMB 137.
Second derivative test:
Lagrange multipliers with one constraint:
Lagrange multipliers with two constraints:
Surface area of triangle:
Centroid of surface of hemisphere:
Flux through surface of paraboloid:
Flux through surface of cone:
Stokes on hemisphere:
Gauss on cylinder:
Problem Of The Week
Online function grapher.
Graphcalc, a free graphing calculator
Calculus tools on the web.
LyX a word processor for writing mathematics
2D vector field applet
3D vector field applet