The Connected Curriculum Project includes materials and modules that combine the flexibility and connectivity of the Web with the power of computer algebra systems such as Maple, Mathematica, MatLab and MathCad. This particular collection includes single-topic modules on Multivariable Calculus as well as applications in this subject. Modules typically assume some familiarity with a mathematical topic and then present an application of the topic or an extension that is motivated by an example. Templates in the above mentioned computer algebra systems are available to guide the users exploration.
Type of Material:
Tutorial that includes interactive modules as well as computer algebra worksheets.
Supplement for a Multivariable Calculus course and/or reference material.
The main part of the tutorial requires only a Java-enabled browser. CAS worksheets require corresponding computer algebra system such as MathCAD, Maple, Mathematica or MatLab.
Identify Major Learning Goals:
To provide help in understanding and learning different topics in Multivariable Calculus
Target Student Population:
Students in the last semester of Calculus.
Prerequisite Knowledge or Skills:
Each tutorial module opens with an introduction page that clearly states the goals and prerequisites of the module. Each module is divided in several sub-topics containing solid mathematical introduction, illustrations and even interactive Java applets. Each subtopic is concluded with a set of very relevant questions and assignments that comprise the main strength of this material. A robust section on application-related topics in each module increases the value of this tutorial.
Potential Effectiveness as a Teaching Tool
Each subsection of the module focuses on a typical test problem type aspect of the subject in question. Thus the site can serve as an addition to a textbook review chapter, a source for a quick review, or as a means of finding an additional example. It can also help as a part of self-guided study, group or individual projects, or test preparation activity.
The limited selection of topics in Multivariable Calculus prevents this tutorial from supplementing every topic in a standard Multivariable Calculus course. This may be asking too much, given the breadth of the topic. The site is a great source for applications that can be tailored to fit specific needs.
Ease of Use for Both Students and Faculty
The site is extremely easy to use and a pleasure to navigate. The topics are well organized and all the key concepts and prerequisites are summarized in the beginning of each subsection. Of course, all computer algebra components require a certain level of familiarity with the corresponding CAS.
One reviewer who is using MathCAD was hampered in the review by the dearth of MathCAD sheets for the projects. The CAS supplements are all high quality, but if the right one is not available,
the user is limited in a significant way. Also there is a small bug in that for some projects, MathCAD support is claimed, but what is available is support for two different versions of Maple.
Along these same lines, the authors should however be complimented for their attempt to satisfy the needs of the users of four (!) different computer algebra systems. This level of compatibility is unique in all materials reviewed so far.
Search by ISBN?
It looks like you have entered an ISBN number. Would you like to search using what you have
entered as an ISBN number?
Searching for Members?
You entered an email address. Would you like to search for members? Click Yes to continue. If no, materials will be displayed first. You can refine your search with the options on the left of the results page.