## MAT 238 Calculus III

Policy documents:
Department policies
Instructor:
Nándor Sieben
schedule
Textbook:
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:
Michael Corral
Whitman , Alternate location
Paul Dawkins
Gilbert Strang
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 4/29

includes sections 16.1-17.3 : 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: Monday 4/1

includes sections 14.8-15.6 : 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: Monday 3/4

includes sections 14.1-14.7 : 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, global extrema, optimization

### Test 1: Wednesday 2/6

includes sections 12.1-12.7, 13.1, 13.2, 13.5 : vectors, vector algebra, length, unit vectors, unitization, dot product, angle between vectors, perpendicular vectors, scalar projection, vector projection, parallel and perpendicular components, 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.
Homework:
Webwork

Our department computer lab is in AMB 222. Computers and free tutoring are also available in AMB 137. Tutoring options.
Mathematica notebook pdf
Second derivative test:
Mathematica notebook pdf
Global extrema:
Mathematica notebook pdf
Global extrema:
Mathematica notebook pdf
Lagrange multipliers with one constraint:
Mathematica notebook pdf
Lagrange multipliers with two constraints:
Mathematica notebook pdf
div rot:
Mathematica notebook
Green:
Mathematica notebook pdf
Surface area of triangle:
Mathematica notebook pdf
Centroid of surface of hemisphere:
Mathematica notebook pdf
Flux through surface of paraboloid:
Mathematica notebook pdf
Flux through surface of cone:
Mathematica notebook pdf
Stokes on hemisphere:
Mathematica notebook pdf
Gauss on cylinder:
Mathematica notebook pdf

3D tetris
Problem Of The Week
Mooculus lectures.
Online function grapher.
CalcPlot3D.
Graphcalc, a free graphing calculator
Calculus tools on the web.
LyX a word processor for writing mathematics
Desmos
2D vector field applet
3D vector field applet
div rot video