Calculus, Differential Equations and Linear Algebra
course sequence for science and engineering

bob jantzen course home pages

Each of these courses 1500--2705 have 2 in-class closed book "hour = 55 minute" tests, a third week-long take home open resource test and a closed book in-class 2.5 hour final exam, with about 8 or 9 weekly quizzes during non-test weeks: quiz-test archives [test rules]. Each course has a PDF handout list including some Maple worksheets, but the current complete class daily log and homework page has links to all PDF notes and Maple worksheets.

Maple use in MAT1500-1505-2500-2705 [first impact message]:
using Maple in Calculus and Differential Equations and Linear Algebra and resources for instructors new to Maple


Maple example worksheets

See the Maple Hints and examples page first and the VU Maple FAQ for how to access Maple and deal with its idiosyncrasies.

See also:


Maple tease

Here is a tease illustrating a force driven periodic undamped 2 mass 3 spring coupled mass spring system (time line on left), decomposing its displacements into the homogeneous free motion component (blue), the response component (green), and the total motion (red) (displacement plane on right):
 .


Here is a multivariable calculus tease: a point traces out uniformly a circle in a vertical plane which is itself rotating about the vertical axis. This is a toy model of the GP-B satellite experiment to test Einstein's test of general relativity. [For explanation, see this web page.]

For spin precession on precessing conical section planar GR orbits, see:
http://www34.homepage.villanova.edu/robert.jantzen/maple/misc/grprecession/

The square wheel problem [statement to challenge math problem solver (pdf), Maple solution and graphics] analyzes a structure anchored in the Serret-Frenet TNB frame of a plane curve (Calc 2!), although one does not need to introduce this language to solve the problem, which only requires single variable calculus.

square wheel