Book 4 Resources
In the navigation panel you can download a zip file containing all the Book 4 resources, or you can click on the links below to download them individually. (In some browsers you may need to right-click and choose 'save link as ...' )
- Vectors, Curves and Motion.
This Excel spreadsheet shows how some of the Chapter
1 problems can be solved numerically. For example: how to calculate tangent,
normal, binormal, velocity, and acceleration vectors; and how to calculate
arc length.
- Partial Derivatives.
This Maple workbook shows how some of the Chapter
2 problems on partial derivatives can be solved analytically using Maple.
- Gradient Descent.
This Excel spreadsheet shows how going down the gradient
takes you to a local minimum. Relates to Example 2.4.
- 2D Integral Examples.
This Maple workbook shows how to do double integrals
as iterated integrals. Relates to Section 3.3.
- Two Charges.
This Maple workbook shows how to plot the electric
field and the voltage field around an electric dipole. Relates to Example
4.8.
- Green’s Theorem.
This Excel spreadsheet models Green’s Theorem. It uses an irregularly
shaped region and any vector field. Relates to Chapter 6 of the text.
- Surface Integrals.
This Maple workbook calculates the surface integrals in Examples
7.2, 7.6 and 7.7 using the method of projecting the surface onto a coordinate
plane, as described in the text.
- Surface
Integrals Using Parametrization.
This PDF document shows how to calculate surface integrals by parameterizing
the surface rather than by projecting the surface onto a coordinate
plane. This approach is used by Kreyszig in his book Advanced Engineering
Mathematics.
- Gauss’s and Stokes’s
Theorems.
This is a PDF version of Chapter 8 of the text. It contains models that
make it easy to understand what Gauss’s and Stokes’s theorems
are saying and why they work.
- Gauss's Theorem on
a Hemisphere.
This Maple workbook solves Problem Set 8.1, #3 with a hemisphere of any
radius and any vector field.
- Gauss's
Theorem Using Parameters.
This Maple workbook also solves Problem Set 8.1, #3 but parameterizes the
surface as described in Kreyzig's book.
- Stokes's Theorem
on a Plane Triangle.
This Maple workbook solves Problem Set 8.2, #1 with any plane triangle
surface and any vector field.
- Stokes's Theorem
on a Plane Disk.
This Maple workbook solves Problem Set 8.2, #3 with any plane disk surface
and any vector field.
- Heat Equation.
The heat equation is a partial differential
equation that describes heat flow. This Excel spreadsheet contains computer
code that can solve this equation under various boundary conditions. Relates to
Section 9.6
of the chapter on partial differential equations.













