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For combined differential equations and linear algebra courses teaching students who have successfully completed three semesters of calculus.

This complete introduction to both differential equations and linear algebra presents a carefully balanced and sound integration of the two topics. It promotes in-depth understanding rather than rote memorization, enabling students to fully comprehend abstract concepts and leave the course with a solid foundation in linear algebra. Flexible in format, it explains concepts clearly and logically with an abundance of examples and illustrations, without sacrificing level or rigor. A vast array of problems supports the material, with varying levels from which students/instructors can choose.

Differential Equations and Linear Algebra: Pearson New International Edition PDF eBook

• Table of Contents


• Chapter 1. First-Order Differential Equations


• Chapter 2. Matrices and Systems of Linear Equations


• Chapter 3. Determinants


• Chapter 4. Vector Spaces


• Chapter 5. Linear Transformations


• Chapter 6. Linear Differential Equations of Order n


• Chapter 7. Systems of Differential Equations


• Chapter 9. Series Solutions to Linear Differential Equations


• Chapter 8. The Laplace Transform and Some Elementary Applications


• Appendix A: Review of Complex Numbers


• Appendix B: Review of Partial Fractions


• Appendix C: Review of Integration Techniques


• Appendix D: Linearly Independent Solutions to x2y + xp(x)y + q(x)y = 0


• Appendix E: Answers to Odd-Numbered Exercises


• Index


• A


• B


• C


• D


• E


• F


• G


• H


• I


• L


• M


• N


• O


• P


• Q


• R


• S


• T


• U


• V


• W


• X


• Y


• Z