New Interactive Linear Algebra Maple Modules.
Linear Algebra: Modules for Interactive Learning Using Maple 6 (R) is organized into a collection of twenty-nine extensive (and intensive) modules, which must be used in conjunction with Maple 6. 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 6 (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 the versatility of the modules, they can be easily adapted to a variety of curricula, institutions, and styles of teaching.
The modules can be used on all the common hardware platforms-Windows (R) PCs, Macintosh (R) computers, and Unix workstations.
Sprache
Verlagsort
Verlagsgruppe
Zielgruppe
Maße
Höhe: 232 mm
Breite: 204 mm
Dicke: 18 mm
Gewicht
ISBN-13
978-0-201-44135-2 (9780201441352)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Klassifikation
1. Systems of Linear Equations.
Module 1. Geometric Perspectives on Linear Equations.
Module 2. Solving Linear Systems Using MAPLE.
Module 3. Some Applications Leading to Linear Systems.
2. Vectors.
Module 1. Geometric Representation of Vectors in the Plane.
Module 2. Linear Combinations of Vectors.
Module 3. Decomposing the Solution of a Linear System.
Module 4. Linear Independence of Vectors.
3. Matrix Algebra.
Module 1. Product of a Matrix and a Vector.
Module 2. Matrix Multiplication.
Module 3. Rules of Matrix Algebra.
Module 4. Markov Chains - An Application.
Module 5. Inverse of a Matrix - An Introduction.
Module 6. Inverse of a Matrix and Elementary Matrices.
Module 7. Determinants.
4. Matrix Transformations.
Module 1. Geometry of Matrix Transformations of the Plane.
Module 2. Geometry of Matrix Transformations of 3-Space.
Module 3. Computer Graphics.
5. Vector Spaces.
Module 1. Subspaces.
Module 2. Basis and Dimension.
Module 3. Subspaces Associated with a Matrix.
Module 4. Loops and Spanning Trees - An Application.
6. Eigenvalues and Eigenvectors.
Module 1. Introduction to Eigenvalues and Eigenvectors.
Module 2. The Characteristic Polynomial.
Module 3. Eigenvector Bases and Discrete Dynamical Systems.
Module 4. Diagonalization and Similarity.
Module 5. Complex Eigenvalues and Eigenvectors.
7. Orthogonality.
Module 1. Orthogonal Vectors and Orthogonal Projections.
Module 2. Orthogonal Bases.
Module 3. Least-Squares Solutions.
Appendix A. Paper and Pencil Tutorial: Gaussian Elimination.
Appendix B. Paper and Pencil Tutorial: Determinants and Cofactors.
Appendix C. The Lamp Library.
Appendix D. Glossary of Linear Algebra Definitions.
Appendix E. List of Linear Algebra Theorems.
Index.
Software Installation Instructions (Windows and Macintosh).
