Linear Algebra: Modules for Interactive Learning Using Maple, Preliminary Version

Science & Math

HERMAN

Herman, Eugene A.

Mathematics

Addison-Wesley

DESCRIPTION Linear Algebra: Modules for Interactive Learning Using Maple (R) is organized into a collection of twenty-eight extensive (and intensive) modules, which must be used in conjunction with Release 5 of Maple V (R). Each module is divided into an interactive Tutorial followed by a rich and substantial collection of Problems. Linear Algebra: Modules for Interactive Learning Using Maple (R) has been carefully designed to help students develop their geometric intuition and deepen their understanding of linear algebra concepts and methods. These modules support both individual work and interactive collaboration. They can be used as a supplement in a traditional lecture course, or in a lab-only format. Due to their versatility, they can be easily adapted to a variety of curricula, institutions, and styles of teaching. Goals of the Modules 1. To help students develop their geometric intuition about the concepts of linear algebra; 2. To deepen students' understanding of the algebraic formulation of these concepts and to strengthen their ability to manipulate concepts; 3. To help students gain an appreciation of how the concepts and methods of linear algebra are applied. Structure of the Modules Each module is divided into two main parts, the Tutorial and the Problems: The Tutorial is further divided into sections and consists of an interlaced text (usually brief), examples and demonstrations, and exercises (with answers provided in closed sections). The Problems are all intended to be fairly substantial, as they provide the work on which students will be graded. They include explorations, applications, constructions (e.g., of specified types of matrices or specified pictures or animations), counter-examples, short essays, proofs, true/false questions, and many challenging computations. Each module is a Maple worksheet that is to be used in conjunction with Release 5 of Maple V (R).

Linear Algebra: Modules for Interative Learning Using Maple : Preliminary Version : Updated

Pepe, Michaeld

Moore, Robert T.

King, James R.

Visual Linear Algebra with Tutorial CD with Maple Student Edition Release 10 Set

wiley

Following an innovative approach to learning, this text integrates paper and pencil skill building and the theoretical development of ideas with geometric exploration and conceptual understanding.
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<li>
Tutorials and traditional text. Visual Linear Algebra covers the topics in a standard one-semester introductory linear algebra course in forty-seven sections arranged in eight chapters. In each chapter, some sections are written in a traditional textbook style and some are tutorials designed to be worked through using either Maple or Mathematica. </li>
<li>
About the tutorials Each tutorial is a self-contained treatment of a core topic or application of linear algebra that a student can work through with minimal assistance from an instructor. The thirty tutorials are provided on the accompanying CD both as Maple worksheets and as Mathematica notebooks. They also appear in print as sections of the textbook. </li>
<li>
Geometry is used extensively to help students develop their intuition about the concepts of linear algebra. </li>
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Applications. Students benefit greatly from working through an application, if the application captures their interest and the materials give them substantial activities that yield worthwhile results. Ten carefully selected applications have been developed and an entire tutorial is devoted to each of them. </li>
<li>
Active Learning. To encourage students to be active learners, the tutorials have been designed to engage and retain their interest. The exercises, demonstrations, explorations, visualizations, and animations are designed to stimulate students??? interest, encourage them to think clearly about the mathematics they are working through, and help them check their comprehension. </li>
</ul>

Visual Linear Algebra with Tutorial CD and Student Solutions Manual Set

Following an innovative approach to learning, this text integrates paper and pencil skill building and the theoretical development of ideas with geometric exploration and conceptual understanding. 
<ul>
<li>
Tutorials and traditional text. Visual Linear Algebra covers the topics in a standard one-semester introductory linear algebra course in forty-seven sections arranged in eight chapters. In each chapter, some sections are written in a traditional textbook style and some are tutorials designed to be worked through using either Maple or Mathematica.</li> <li>
About the tutorials Each tutorial is a self-contained treatment of a core topic or application of linear algebra that a student can work through with minimal assistance from an instructor. The thirty tutorials are provided on the accompanying CD both as Maple worksheets and as Mathematica notebooks. They also appear in print as sections of the textbook.</li> <li>
Geometry is used extensively to help students develop their intuition about the concepts of linear algebra.</li> <li>
Applications. Students benefit greatly from working through an application, if the application captures their interest and the materials give them substantial activities that yield worthwhile results. Ten carefully selected applications have been developed and an entire tutorial is devoted to each of them.</li> <li>
Active Learning. To encourage students to be active learners, the tutorials have been designed to engage and retain their interest. The exercises, demonstrations, explorations, visualizations, and animations are designed to stimulate studentsâ?? interest, encourage them to think clearly about the mathematics they are working through, and help them check their comprehension.</li> </ul>

Visual Linear Algebra

Pepe, Michael D.

Following an innovative approach to learning, this text integrates paper and pencil skill building and the theoretical development of ideas with geometric exploration and conceptual understanding. 
<ul>
<li>Tutorials and traditional text. Visual Linear Algebra covers the topics in a standard one-semester introductory linear algebra course in forty-seven sections arranged in eight chapters. In each chapter, some sections are written in a traditional textbook style and some are tutorials designed to be worked through using either Maple or Mathematica.</li> <li>About the tutorials Each tutorial is a self-contained treatment of a core topic or application of linear algebra that a student can work through with minimal assistance from an instructor. The thirty tutorials are provided on the accompanying CD both as Maple worksheets and as Mathematica notebooks. They also appear in print as sections of the textbook.</li> <li>Geometry is used extensively to help students develop their intuition about the concepts of linear algebra.</li> <li>Applications. Students benefit greatly from working through an application, if the application captures their interest and the materials give them substantial activities that yield worthwhile results. Ten carefully selected applications have been developed and an entire tutorial is devoted to each of them.</li> <li>Active Learning. To encourage students to be active learners, the tutorials have been designed to engage and retain their interest. The exercises, demonstrations, explorations, visualizations, and animations are designed to stimulate studentsâ?? interest, encourage them to think clearly about the mathematics they are working through, and help them check their comprehension.</li> </ul>

Visual Linear Algebra, Student Solutions Manual

A new approach to the teaching of undergraduate level mathematics that includes topics from numerical analysis, calculus and differential equations. It stresses a modern viewpoint, combining both computational and theoretical aspects that will help students use the computer as a daily tool as well as aid them in the understanding of basic theoretical concepts. Numerous examples, applications and exercise sets are also included in the text.

Convergence, approximation, and differential equations

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