Discrete Mathematics with Ducks

Author: sarah-marie belcastro
Publisher: CRC Press
ISBN: 1466504994
Format: PDF, ePub
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Containing exercises and materials that engage students at all levels, Discrete Mathematics with Ducks presents a gentle introduction for students who find the proofs and abstractions of mathematics challenging. This classroom-tested text uses discrete mathematics as the context for introducing proofwriting. Facilitating effective and active learning, each chapter contains a mixture of discovery activities, expository text, in-class exercises, and homework problems. Elementary exercises at the end of each expository section prompt students to review the material Try This! sections encourage students to construct fundamental components of the concepts, theorems, and proofs discussed. Sets of discovery problems and illustrative examples reinforce learning. Bonus sections can be used for take-home exams, projects, or further study Instructor Notes sections offer suggestions on how to use the material in each chapter Discrete Mathematics with Ducks offers students a diverse introduction to the field and a solid foundation for further study in discrete mathematics and complies with SIGCSE guidelines. The book shows how combinatorics and graph theory are used in both computer science and mathematics.

Discrete Mathematics with Ducks

Author: sarah-marie belcastro
Publisher: CRC Press
ISBN: 1466505001
Format: PDF, Mobi
Download Now
Containing exercises and materials that engage students at all levels, Discrete Mathematics with Ducks presents a gentle introduction for students who find the proofs and abstractions of mathematics challenging. This classroom-tested text uses discrete mathematics as the context for introducing proofwriting. Facilitating effective and active learning, each chapter contains a mixture of discovery activities, expository text, in-class exercises, and homework problems. Elementary exercises at the end of each expository section prompt students to review the material Try This! sections encourage students to construct fundamental components of the concepts, theorems, and proofs discussed. Sets of discovery problems and illustrative examples reinforce learning. Bonus sections can be used for take-home exams, projects, or further study Instructor Notes sections offer suggestions on how to use the material in each chapter Discrete Mathematics with Ducks offers students a diverse introduction to the field and a solid foundation for further study in discrete mathematics and complies with SIGCSE guidelines. The book shows how combinatorics and graph theory are used in both computer science and mathematics.

Student Handbook for Discrete Mathematics with Ducks

Author: sarah-marie belcastro
Publisher: CRC Press
ISBN: 1498714056
Format: PDF, ePub, Mobi
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Student Handbook for Discrete Mathematics with Ducks is a Student Reference, Review, Supplemental Learning, and Example Handbook (SRRSLEH) that mirrors the content of the author’s popular textbook Discrete Mathematics with Ducks (DMwD). This handbook provides a review of key material, illustrative examples, and new problems with accompanying solutions that are helpful even for those using a traditional discrete mathematics textbook. Every chapter in SRRSLEH matches the corresponding chapter of DMwD. Chapters in SRRSLEH contain the following: A list of the notation introduced in the corresponding chapter A list of definitions that students need to know from the corresponding chapter Theorems/facts of note appearing in the corresponding chapter A list of proof techniques introduced, with templates and/or examples given for each one A selection of examples from DMwD, written out formally and briefly rather than colloquially as in DMwD A quick refresher for any discrete math student, this handbook enables students to find information easily and reminds them of the terms and results they should know during their course. Read reviews of DMwD.

Crafting by Concepts

Author: sarah-marie belcastro
Publisher: CRC Press
ISBN: 1439867682
Format: PDF, Docs
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From the editors of the popular Making Mathematics with Needlework, this book presents projects that highlight the relationship between types of needlework and mathematics. Chapters start with accessible overviews presenting the interplay between mathematical concepts and craft expressions. Following sections explain the mathematics in more detail, and provide suggestions for classroom activities. Each chapter ends with specific crafting instructions. Types of needlework included are knitting, crochet, needlepoint, cross-stitch, quilting, temari balls, beading, tatting, and string art. Instructions are written as ordinary patterns, so the formatting and language will be familiar to crafters.

Discrete Mathematics with Ducks Second Edition

Author: Sarah-Marie Belcastro
Publisher: CRC Press
ISBN: 9781138052598
Format: PDF, Docs
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Discrete Mathematics with Ducks presents a gentle introduction for students who find the proofs and abstractions of mathematics challenging. Containing exercises and materials that engage students at all levels, the first edition was widely well-received. Facilitating effective and active learning, each chapter contains a mixture of discovery activities, expository text, in-class exercises, and homework problems. The author's lively and friendly writing style appeals to both instructors and students alike. The expanded new edition offers new topics, projects and a wealth of new exercises, increasing the number in all chapters.

Discrete Mathematics with Applications

Author: Susanna S. Epp
Publisher: Cengage Learning
ISBN: 0495391328
Format: PDF
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Susanna Epp's DISCRETE MATHEMATICS WITH APPLICATIONS, FOURTH EDITION provides a clear introduction to discrete mathematics. Renowned for her lucid, accessible prose, Epp explains complex, abstract concepts with clarity and precision. This book presents not only the major themes of discrete mathematics, but also the reasoning that underlies mathematical thought. Students develop the ability to think abstractly as they study the ideas of logic and proof. While learning about such concepts as logic circuits and computer addition, algorithm analysis, recursive thinking, computability, automata, cryptography, and combinatorics, students discover that the ideas of discrete mathematics underlie and are essential to the science and technology of the computer age. Overall, Epp's emphasis on reasoning provides students with a strong foundation for computer science and upper-level mathematics courses. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

An Introduction to Wavelets Through Linear Algebra

Author: Michael W. Frazier
Publisher: Springer Science & Business Media
ISBN: 0387226532
Format: PDF, ePub, Docs
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Wavelet theory is on the boundary between mathematics and engineering, making it ideal for demonstrating to students that mathematics research is thriving in the modern day. Students can see non-trivial mathematics ideas leading to natural and important applications, such as video compression and the numerical solution of differential equations. The only prerequisites assumed are a basic linear algebra background and a bit of analysis background. Intended to be as elementary an introduction to wavelet theory as possible, the text does not claim to be a thorough or authoritative reference on wavelet theory.

Making Mathematics with Needlework

Author: sarah-marie belcastro
Publisher: CRC Press
ISBN: 1439865132
Format: PDF, ePub
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Mathematical craftwork has become extremely popular, and mathematicians and crafters alike are fascinated by the relationship between their crafts. The focus of this book, written for mathematicians, needleworkers, and teachers of mathematics, is on the relationship between mathematics and the fiber arts (including knitting, crocheting, cross-stitch, and quilting). Each chapter starts with an overview of the mathematics and the needlework at a level understandable to both mathematicians and needleworkers, followed by more technical sections discussing the mathematics, how to introduce the mathematics in the classroom through needlework, and how to make the needlework project, including patterns and instructions.

Using Inquiry in the Classroom

Author: Teresa Coffman
Publisher: Rowman & Littlefield
ISBN: 1610488512
Format: PDF, ePub, Docs
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Using Inquiry in the Classroom: Developing Creative Thinkers and Information Literate Students provides an overview of inquiry learning and the importance of developing creative thinkers and information literate students in twenty-first-century education. The text explores how learning can be directly applied in a classroom setting using real world application through technology oriented activities. Coffman showcases WebQuests, Web inquiry, telecollaborative, and problem-based activities with examples and skill-building exercises for readers to implement in their lessons for use in their classrooms. Using this guide, readers will work through strategies for effectively integrating technology into a teaching and learning environment so students gain maximum knowledge and understanding of core concepts. Plus, the content is personalized so that the reader can create activities and lessons for their specific curriculum needs.