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MAT 238 Calculus III

Policy documents:

Department policies

Academic integrity policy

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.
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Finals week 5/1 - 5/10

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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

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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

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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

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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.

Grades

Homework:

Webwork

Our department ** computer lab ** is in AMB 222.
Computers and free tutoring are also available in AMB 137.
Tutoring options.

Quadratic surfaces:

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

Links:

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

Academo

Desmos

2D vector field applet

3D vector field applet

div rot video