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Guide to Student Resources

Instructor:

Nándor Sieben

Textbook:

You probably have a copy of the following book from Calc II: Calculus early transcendentals by Jon Rogawski and Colin Adams.

Alternate online books:

Whitman ,
Alternate location

CLP

Openstax

Michael Corral

Paul Dawkins

Gilbert Strang

Any standard printed Calculus book is useful.

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, cross product, normal vectors, area using the cross 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

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

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

Bblearn has the course sylabus, handouts, summary sheets, discussion forum, etc.

Homework:

Webwork

Our department

You can install it on your computer following the instructions.

You should be able to use Wolfram Cloud in your browser.

You can always call NAU ITS help line 928-523-9294 or Ask-STC@nau.edu and ask how you can have access to Mathematica.

Quadratic surfaces:
notebook
pdf

Intersection of surfaces:
notebook
pdf

Webwork 14.1 Problem 12:
notebook

Limit:
notebook
pdf

Gradient:
2D
notebook
pdf
3D
notebook
pdf

Second derivative test:
notebook
pdf

Global extrema:
notebook
pdf

Global extrema:
notebook
pdf

Optimization:
notebook
pdf

Lagrange multipliers with one constraint:
notebook
pdf

Lagrange multipliers with two constraints:
notebook
pdf

Volume as double integral or triple integral:
notebook
pdf

Square to parallelogram:
notebook
pdf

Centroid of solid paraboloid:
notebook
pdf

Flux and circulation density 2D:
notebook
pdf

div rot:
notebook
pdf

Surface area of sphere:
- rectangular
notebook
pdf
- cylindrical
notebook
pdf
- spherical
notebook
pdf

Flux density 3D:
notebook
pdf

Surface area of triangle:
notebook
pdf

Centroid of surface of hemisphere:
notebook
pdf

Flux through surface of paraboloid:
notebook
pdf

Flux through surface of cone:
notebook
pdf

Green:
notebook
pdf

Stokes on hemisphere:
notebook
pdf

Gauss on cylinder:
notebook
pdf

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