Mathematics

For courses in second-year calculus, linear calculus and differential equations.

This text explores the standard problem-solving techniques of multivariable mathematics — integrating vector algebra ideas with multivariable calculus and differential equations. This text offers a full year of study and the flexibility to design various one-term and two-term courses.

• NEW - Increased coverage of phase portraits for second-order equations.

  • Allows students to interpret solutions in the state-space that governs the evolution of a system.

• NEW - Simple introduction to the geometry of eigenvectors for solutions of systems.

  • Avoids the difficulties of following up this method to the multiple-eigenvalue case, referring ahead to the exponential matrix alternative.

• NEW - Introduction to vector geometry and matrix algebra—Used extensively in calculus and differential equations.

  • Provides streamlined and unified presentation of these topics for students.

• NEW - Revised treatment of differentiability—Found in Chapter 5.

  • Presents this topic much more simply and intuitively, with the case of vector-valued functions treated separately.

• NEW - Early introduction of the gradient vector as the key to differentiability—Presents natural definition with coordinate formula as a consequence of the definition.

  • Allows the later introduction of the derivative matrix to be more natural.

• NEW - Optional Chapter 3 on general vector spaces—Placed in the context of the preceding two chapters on vector geometry and matrix algebra.

  • Gives those students who want to cover this more theoretical material a multitude of concrete examples.

• NEW - Java programs available on the Web—For using numerical methods.

  • Provides students with easy access to those useful programs.

• NEW - Optional numerical methods—Found where applicable.

  • Allows students to produce approximate solutions where closed-form solutions are unavailable.

• NEW - Optional coverage of moments and centroids.

  • Offers students additional opportunity to practice interpreting and computing multiple integrals.

• NEW - Simple method for computing the exponential matrix for solution of constant-coefficient linear systems—Found in Chapter 13.

  • Avoids the unnecessarily complicated treatment and aids students in remembering the material.

• Offers flexibility in coverage—Topics can be covered in a variety of orders, and subsections (which are presented in order of decreasing importance) can be omitted if desired.

  • Allows professor flexibility in lesson planning.

• Proofs are provided—Includes the definitions and statements of theorems to show how the subject matter can be organized around a few central ideas.

  • Provides a bit of rigor, but not too much.

• An abundance of applications and worked examples and discussion problems.

  • Reinforces concepts taught in the chapter through a variety of means.

• Many routine, computational exercises illuminating both theory and practice.

  • Offers students ample opportunity to practice the concepts learned in the chapters.

• Increased coverage of phase portraits for second-order equations.

  • Allows students to interpret solutions in the state-space that governs the evolution of a system.

• Simple introduction to the geometry of eigenvectors for solutions of systems.

  • Avoids the difficulties of following up this method to the multiple-eigenvalue case, referring ahead to the exponential matrix alternative.

• Introduction to vector geometry and matrix algebra—Used extensively in calculus and differential equations.

  • Provides streamlined and unified presentation of these topics for students.

• Revised treatment of differentiability—Found in Chapter 5.

  • Presents this topic much more simply and intuitively, with the case of vector-valued functions treated separately.

• Early introduction of the gradient vector as the key to differentiability—Presents natural definition with coordinate formula as a consequence of the definition.

  • Allows the later introduction of the derivative matrix to be more natural.

• Optional Chapter 3 on general vector spaces—Placed in the context of the preceding two chapters on vector geometry and matrix algebra.

  • Gives those students who want to cover this more theoretical material a multitude of concrete examples.

• Java programs available on the Web—For using numerical methods.

  • Provides students with easy access to those useful programs.

• Optional numerical methods—Found where applicable.

  • Allows students to produce approximate solutions where closed-form solutions are unavailable.

• Optional coverage of moments and centroids.

  • Offers students additional opportunity to practice interpreting and computing multiple integrals.

• Simple method for computing the exponential matrix for solution of constant-coefficient linear systems—Found in Chapter 13.

  • Avoids the unnecessarily complicated treatment and aids students in remembering the material.

 1. Vectors.


 2. Equations and Matrices.


 3. Vector Spaces and Linearity.


 4. Derivatives.


 5. Differentiability.


 6. Vector Differential Calculus.


 7. Multiple Integration.


 8. Integrals and Derivatives on Curves.


 9. Vector Field Theory.


10. First Order Differential Equations.


11. Second-Order Equations.


12. Introduction to Systems.


13. Matrix Methods.


14. Infinite Series.

Differential Equations and Linear Algebra  (Mathematics)
Multivariable Calculus  (Mathematics)

Instructor's Solution Manual, 4/E
Williamson
©2004 | Prentice Hall | Paper; 350 pp | Instock
ISBN-10: 0130781495 | ISBN-13: 9780130781499

Students Solutions Manual, 4/E
Williamson
©2004 | Prentice Hall | Paper; 624 pp | Instock
ISBN-10: 013046192X | ISBN-13: 9780130461926
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Addison-Wesley's Algebra Review
Addison-Wesley
©2004 | Prentice Hall | Paper | Out of Stock
ISBN-10: 0321247086 | ISBN-13: 9780321247087

Addison-Wesley's Basic Math Review
Addison-Wesley
©2004 | Prentice Hall | Paper | Instock
ISBN-10: 0321247078 | ISBN-13: 9780321247070

Algebra Review Study Card, 2/E
D'Ippolito & Generazzo
©2006 | Prentice Hall | Study Card; 6 pp | Instock
ISBN-10: 0321394739 | ISBN-13: 9780321394736
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Allied Health Study Card, 2/E
Forshier
©2006 | Prentice Hall | Study Card | Instock
ISBN-10: 0321394747 | ISBN-13: 9780321394743
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Basic Math Review Card, 2/E
Addison-Wesley
©2006 | Prentice Hall | Study Card; 6 pp | Instock
ISBN-10: 0321394763 | ISBN-13: 9780321394767
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Concept Videos: Algebra
Addison-Wesley
©2008 | Prentice Hall | Multiple Media Package | Instock
ISBN-10: 0321517199 | ISBN-13: 9780321517197

Concept Videos: Basic Math & Prealgebra
Addison-Wesley
©2008 | Prentice Hall | Multiple Media Package | Instock
ISBN-10: 032151758X | ISBN-13: 9780321517586

Discovering Algebra: Examples with Keystrokes on the TI-83/TI-82 and TI-85/TI-86, A Laboratory Approach
Pirich & Bigliani
©1997 | Prentice Hall | Paper; 195 pp | Instock
ISBN-10: 0136492037 | ISBN-13: 9780136492030
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Finite Mathematics Study Card
Addison-Wesley
©2006 | Prentice Hall | Study Card | Instock
ISBN-10: 0321374398 | ISBN-13: 9780321374394
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Flash Review Series: Algebra
Becker
©2004 | Prentice Hall | Paper | Instock
ISBN-10: 0321143094 | ISBN-13: 9780321143099
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Graphing Calculator Reference Card, 3/E
Ripley
©2006 | Prentice Hall | Study Card; 6 pp | Instock
ISBN-10: 0321394755 | ISBN-13: 9780321394750
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Graphing Calculator Tutorial CD
Addison-Wesley
©2006 | Prentice Hall | CD-ROM Only | Instock
ISBN-10: 0321357744 | ISBN-13: 9780321357748
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Interwrite Personal Response System
EduCue, Addison-Wesley & Benjamin Cummings
©2004 | Prentice Hall | Electronic Supplement | Instock
ISBN-10: 0321267354 | ISBN-13: 9780321267351

Math for Allied Health Study/Reference Card
Forshier
©2006 | Prentice Hall | Study Card; 0 pp | Out of Stock
ISBN-10: 0321336542 | ISBN-13: 9780321336545

Mathematics Spanish Glossary, 2/E
Lara & Peeples
©2000 | Prentice Hall | Paper; 48 pp | Instock
ISBN-10: 0201728966 | ISBN-13: 9780201728965
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Overcoming Math Anxiety, 2/E
Davidson & Levitov
©2000 | Prentice Hall | Paper | Instock
ISBN-10: 0321069188 | ISBN-13: 9780321069184
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Pearson TI Rebate Coupon $15, 2/E
Pearson
©2009 | Prentice Hall | Paper | Instock
ISBN-10: 0321566041 | ISBN-13: 9780321566041

Prealgebra Review Workbook
Wheel
©2006 | Prentice Hall | Paper; 300 pp | Instock
ISBN-10: 0321473329 | ISBN-13: 9780321473325
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Review of Algebra, A
Howard
©2002 | Prentice Hall | Paper; 224 pp | Instock
ISBN-10: 0201773473 | ISBN-13: 9780201773477
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Saleable Technology Bundle, 2/E
Pearson
©2009 | Prentice Hall | Multiple Media Package | Estimated Availability : 09/01/2008
ISBN-10: 0321561880 | ISBN-13: 9780321561886

Spanish Basic Math Study Card
Leonarte
©2007 | Prentice Hall | Study Card | Instock
ISBN-10: 0321438582 | ISBN-13: 9780321438584
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Stand-alone Access Code Tutor Center
Addison-Wesley
©2008 | Prentice Hall | Access Code Card | Instock
ISBN-10: 0201721708 | ISBN-13: 9780201721706
URL:  http://www.aw-bc.com/tutorcenter
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