Differential Equations and Boundary Value Problems: Computing and Modeling 5th Global Edition
For introductory courses in Differential Equations. This best-selling text by these well-known authors blends the traditional algebra problem solving skills with the conceptual development and geometric visualization of a modern differential equations course that is essential to science and engineering students. It reflects the new qualitative approach that is altering the learning of elementary differential equations, including the wide availability of scientific computing environments like Maple, Mathematica, and MATLAB. Its focus balances the traditional manual methods with the new computer-based methods that illuminate qualitative phenomena and make accessible a wider range of more realistic applications. Seldom-used topics have been trimmed and new topics added: it starts and ends with discussions of mathematical modeling of real-world phenomena, evident in figures, examples, problems, and applications throughout the text.
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David Poole’s innovative LINEAR ALGEBRA: A MODERN INTRODUCTION, 4e emphasizes a vectors approach and better prepares students to make the transition from computational to theoretical mathematics. Balancing theory and applications, the book is written in a conversational style and combines a traditional presentation with a focus on student-centered learning. Theoretical, computational, and applied topics are presented in a flexible yet integrated way. Stressing geometric understanding before computational techniques, vectors and vector geometry are introduced early to help students visualize concepts and develop mathematical maturity for abstract thinking. Additionally, the book includes ample applications drawn from a variety of disciplines, which reinforce the fact that linear algebra is a valuable tool for modeling real-life problems.
- “Technology Bytes”, an extensive online appendix that shows Maple, Mathematica, and MATLAB instructions key for working out examples and exercises from the text in a computer algebra system.
- Explorations provide deeper discovery-based guides on key concepts, designed for individual or group work.
- Ample applied problems from a wide variety of disciplines, including mathematics, physics, engineering, biology, chemistry, computer science, economics, geography, psychology, and sociology.
- Context-sensitive margin notes for extra help and cross-references.
- EWA helps students develop a deeper conceptual understanding of their subject matter and complete required online homework assignments. Students receive access to a Premium eBook along with immediate feedback and tutorial content, which may include Watch It Videos, Animations, Practice It Questions, Master It Tutorials, Read It Text passages, Chat About It Tutor services, and a Personal Study Plan to aid in the mastery of their course materials.
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.
Practice makes perfect–and helps deepen your understanding of algebra II by solving problems 1001 Algebra II Practice Problems For Dummies takes you beyond the instruction and guidance offered in Algebra II For Dummies , giving you 1001 opportunities to practice solving problems from the major topics in algebra II. Plus, an online component provides you with a collection of algebra problems presented in multiple choice format to further help you test your skills as you go. Gives you a chance to practice and reinforce the skills you learn in Algebra II class Helps you refine your understanding of algebra Whether you’re studying algebra at the high school or college level, the practice problems in 1001 Algebra II Practice Problems For Dummies range in areas of difficulty and style, providing you with the practice help you need to score high at exam time. Note to readers: 1,001 Algebra II Practice Problems For Dummies, which only includes problems to solve, is a great companion to Algebra II For Dummies, 2nd Edition which offers complete instruction on all topics in a typical Algebra II course.
About the Author
Mary Jane Sterling is the author of Algebra I For Dummies , Algebra Workbook For Dummies , Algebra II For Dummies , Algebra II Workbook For Dummies , and several other For Dummies titles. She has been a Professor of Mathematics at Bradley University in Peoria, Illinois, for more than 30 years.
About the Author
Mary Jane Sterling is the author of numerous For Dummies books. She is a lecturer at Bradley University in Peoria, Illinois, where she has taught courses in algebra, calculus, and other mathematics topics for almost 30 years.