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Calculus
Fourth Edition ©2019 Jon Rogawski; Colin Adams; Robert Franzosa Formats: Achieve, E-book, Print
As low as C$78.99
As low as C$78.99
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Authors
-
Jon Rogawski
Jon Rogawski received his undergraduate and master’s degrees in mathematics simultaneously from Yale University, and he earned his PhD in mathematics from Princeton University, where he studied under Robert Langlands. Before joining the Department of Mathematics at UCLA in 1986, where he was a full professor, he held teaching and visiting positions at the Institute for Advanced Study, the University of Bonn, and the University of Paris at Jussieu and Orsay. Jon’s areas of interest were number theory, automorphic forms, and harmonic analysis on semisimple groups. He published numerous research articles in leading mathematics journals, including the research monograph Automorphic Representations of Unitary Groups in Three Variables (Princeton University Press). He was the recipient of a Sloan Fellowship and an editor of the Pacific Journal of Mathematics and the Transactions of the AMS. As a successful teacher for more than 30 years, Jon Rogawski listened and learned much from his own students. These valuable lessons made an impact on his thinking, his writing, and his shaping of a calculus text. Sadly, Jon Rogawski passed away in September 2011. Jon’s commitment to presenting the beauty of calculus and the important role it plays in students’ understanding of the wider world is the legacy that lives on in each new edition of Calculus.
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Colin Adams
Colin Adams is the Thomas T. Read professor of Mathematics at Williams College, where he has taught since 1985. Colin received his undergraduate degree from MIT and his PhD from the University of Wisconsin. His research is in the area of knot theory and low-dimensional topology. He has held various grants to support his research, and written numerous research articles. Colin is the author or co-author of The Knot Book, How to Ace Calculus: The Streetwise Guide, How to Ace the Rest of Calculus: The Streetwise Guide, Riot at the Calc Exam and Other Mathematically Bent Stories, Why Knot?, Introduction to Topology: Pure and Applied, and Zombies & Calculus. He co-wrote and appears in the videos “The Great Pi vs. E Debate” and “Derivative vs. Integral: the Final Smackdown.” He is a recipient of the Haimo National Distinguished Teaching Award from the Mathematical Association of America (MAA) in 1998, an MAA Polya Lecturer for 1998-2000, a Sigma Xi Distinguished Lecturer for 2000-2002, and the recipient of the Robert Foster Cherry Teaching Award in 2003. Colin has two children and one slightly crazy dog, who is great at providing the entertainment.
-
Robert Franzosa
Robert (Bob) Franzosa is a professor of mathematics at the University of Maine where he has been on the faculty since 1983. Bob received a BS in mathematics from MIT in 1977 and a Ph.D. in mathematics from the University of Wisconsin in 1984. His research has been in dynamical systems and in applications of topology in geographic information systems. He has been involved in mathematics education outreach in the state of Maine for most of his career. Bob is a co-author of Introduction to Topology: Pure and Applied and Algebraic Models in Our World. He was awarded the University of Maine’s Presidential Outstanding Teaching award in 2003. Bob is married, has two children, three step-children, and one recently-arrived grandson.
Table of Contents
Chapter 1: Precalculus Review
Chapter 2: Limits
Chapter 3: Differentiation
Chapter 4: Applications of the Derivative
Chapter 5: Integration
Chapter 6: Applications of the Integral
Chapter 7: Exponential and Logarithmic Functions
Chapter 8: Techniques of Integration
Chapter 9: Further Applications of the Integral
Chapter 10: Introduction to Differential Equations
Chapter 11: Infinite Series
Chapter 12: Parametric Equations, Polar Coordinates, and Conic Sections
Chapter 13: Vector Geometry
Chapter 14: Calculus of Vector-Valued Functions
Chapter 15: Differentiation in Several Variables
Chapter 16: Multiple Integration
Chapter 17: Line and Surface Integrals
Chapter 18: Fundamental Theorems of Vector Analysis
Product Updates
Achieve focuses on engaging students through pre-class and post-class assessment, interactive activities, and a full e-book. Achieve is a complete learning environment with easy course setup, gradebook and LMS integration.
- The easy-to-use Homework Math Palette adapts its front page to the content of the problem, bringing forward the most appropriate buttons. This helps students focus on the math rather than the format.
- Homework Warnings: Our propriety grading algorithm conbines our homegrown parser and the computer algebra system, SymPy. It is programed to accept every valid equivalent answer and to trigger warnings for answers entered in an incorrect format.
- Targeted Feedback ensures the focus is on learning.
- Detailed Solutions: Setailed step-by-step solutions ensure students learn from a problem when they answer correctly or give up.
- Guided Learn and Practice assignments include interactive content, videos, and instructional feedback to prepare students before they come to class.
- Guided Learn and Practice Assignments contain CalcClips tutorial videos are integrated throughout the e-book.
- Dynamic Figures powered by Desmos, take students experience further with conceptual and computational questions about the interactive Dynamic Figures. These book-specific figures are embedded directly in the e-book and additional assessment for the figures are found in the Guided Learn and Practice question banks.
- LearningCurve adaptive quizzing offers individualized question sets and feedback for each student based on his or her correct and incorrect responses.
General themes of the revision include the following (a detailed list of changes is also available):
- Rewrite portions to increase readability without reducing level of mathematical rigor. This includes increasing clarity, improving organization, and building consistency.
- Add applications, particularly in life science and earth science to broaden the scientific fields represented in the book. In particular, there are a number of new examples and exercises in climate science, an area that is currently drawing a lot of interest in the scientific community.
- Add conceptual and graphical insights to assist student understanding in places where pitfalls and confusion often occurs.
- Add diversity to the Historical Perspectives and historical marginal pieces.
- Maintain threads throughout the book by previewing topics that come up later and revisiting topics that have been presented before.
- Expand the perspective on curve sketching--beyond just sketching a curve using calculus tools--to include analyzing given curves using calculus tools. (This is an addition of some elements of the “reform” perspective on calculus instruction.)
- “Tighten” the presentation of the mathematics in the text, improving rigor (without increasing the overall level of formality). This includes correcting previous errors and omissions.
Authors
-
Jon Rogawski
Jon Rogawski received his undergraduate and master’s degrees in mathematics simultaneously from Yale University, and he earned his PhD in mathematics from Princeton University, where he studied under Robert Langlands. Before joining the Department of Mathematics at UCLA in 1986, where he was a full professor, he held teaching and visiting positions at the Institute for Advanced Study, the University of Bonn, and the University of Paris at Jussieu and Orsay. Jon’s areas of interest were number theory, automorphic forms, and harmonic analysis on semisimple groups. He published numerous research articles in leading mathematics journals, including the research monograph Automorphic Representations of Unitary Groups in Three Variables (Princeton University Press). He was the recipient of a Sloan Fellowship and an editor of the Pacific Journal of Mathematics and the Transactions of the AMS. As a successful teacher for more than 30 years, Jon Rogawski listened and learned much from his own students. These valuable lessons made an impact on his thinking, his writing, and his shaping of a calculus text. Sadly, Jon Rogawski passed away in September 2011. Jon’s commitment to presenting the beauty of calculus and the important role it plays in students’ understanding of the wider world is the legacy that lives on in each new edition of Calculus.
-
Colin Adams
Colin Adams is the Thomas T. Read professor of Mathematics at Williams College, where he has taught since 1985. Colin received his undergraduate degree from MIT and his PhD from the University of Wisconsin. His research is in the area of knot theory and low-dimensional topology. He has held various grants to support his research, and written numerous research articles. Colin is the author or co-author of The Knot Book, How to Ace Calculus: The Streetwise Guide, How to Ace the Rest of Calculus: The Streetwise Guide, Riot at the Calc Exam and Other Mathematically Bent Stories, Why Knot?, Introduction to Topology: Pure and Applied, and Zombies & Calculus. He co-wrote and appears in the videos “The Great Pi vs. E Debate” and “Derivative vs. Integral: the Final Smackdown.” He is a recipient of the Haimo National Distinguished Teaching Award from the Mathematical Association of America (MAA) in 1998, an MAA Polya Lecturer for 1998-2000, a Sigma Xi Distinguished Lecturer for 2000-2002, and the recipient of the Robert Foster Cherry Teaching Award in 2003. Colin has two children and one slightly crazy dog, who is great at providing the entertainment.
-
Robert Franzosa
Robert (Bob) Franzosa is a professor of mathematics at the University of Maine where he has been on the faculty since 1983. Bob received a BS in mathematics from MIT in 1977 and a Ph.D. in mathematics from the University of Wisconsin in 1984. His research has been in dynamical systems and in applications of topology in geographic information systems. He has been involved in mathematics education outreach in the state of Maine for most of his career. Bob is a co-author of Introduction to Topology: Pure and Applied and Algebraic Models in Our World. He was awarded the University of Maine’s Presidential Outstanding Teaching award in 2003. Bob is married, has two children, three step-children, and one recently-arrived grandson.
Table of Contents
Chapter 1: Precalculus Review
Chapter 2: Limits
Chapter 3: Differentiation
Chapter 4: Applications of the Derivative
Chapter 5: Integration
Chapter 6: Applications of the Integral
Chapter 7: Exponential and Logarithmic Functions
Chapter 8: Techniques of Integration
Chapter 9: Further Applications of the Integral
Chapter 10: Introduction to Differential Equations
Chapter 11: Infinite Series
Chapter 12: Parametric Equations, Polar Coordinates, and Conic Sections
Chapter 13: Vector Geometry
Chapter 14: Calculus of Vector-Valued Functions
Chapter 15: Differentiation in Several Variables
Chapter 16: Multiple Integration
Chapter 17: Line and Surface Integrals
Chapter 18: Fundamental Theorems of Vector Analysis
Product Updates
Achieve focuses on engaging students through pre-class and post-class assessment, interactive activities, and a full e-book. Achieve is a complete learning environment with easy course setup, gradebook and LMS integration.
- The easy-to-use Homework Math Palette adapts its front page to the content of the problem, bringing forward the most appropriate buttons. This helps students focus on the math rather than the format.
- Homework Warnings: Our propriety grading algorithm conbines our homegrown parser and the computer algebra system, SymPy. It is programed to accept every valid equivalent answer and to trigger warnings for answers entered in an incorrect format.
- Targeted Feedback ensures the focus is on learning.
- Detailed Solutions: Setailed step-by-step solutions ensure students learn from a problem when they answer correctly or give up.
- Guided Learn and Practice assignments include interactive content, videos, and instructional feedback to prepare students before they come to class.
- Guided Learn and Practice Assignments contain CalcClips tutorial videos are integrated throughout the e-book.
- Dynamic Figures powered by Desmos, take students experience further with conceptual and computational questions about the interactive Dynamic Figures. These book-specific figures are embedded directly in the e-book and additional assessment for the figures are found in the Guided Learn and Practice question banks.
- LearningCurve adaptive quizzing offers individualized question sets and feedback for each student based on his or her correct and incorrect responses.
General themes of the revision include the following (a detailed list of changes is also available):
- Rewrite portions to increase readability without reducing level of mathematical rigor. This includes increasing clarity, improving organization, and building consistency.
- Add applications, particularly in life science and earth science to broaden the scientific fields represented in the book. In particular, there are a number of new examples and exercises in climate science, an area that is currently drawing a lot of interest in the scientific community.
- Add conceptual and graphical insights to assist student understanding in places where pitfalls and confusion often occurs.
- Add diversity to the Historical Perspectives and historical marginal pieces.
- Maintain threads throughout the book by previewing topics that come up later and revisiting topics that have been presented before.
- Expand the perspective on curve sketching--beyond just sketching a curve using calculus tools--to include analyzing given curves using calculus tools. (This is an addition of some elements of the “reform” perspective on calculus instruction.)
- “Tighten” the presentation of the mathematics in the text, improving rigor (without increasing the overall level of formality). This includes correcting previous errors and omissions.
The authors goal for the book is that its clearly written, could be read by a calculus student and would motivate them to engage in the material and learn more. Moreover, to create a text in which exposition, graphics, and layout would work together to enhance all facets of a student’s calculus experience. They paid special attention to certain aspects of the text:
1. Clear, accessible exposition that anticipates and addresses student difficulties.
2. Layout and figures that communicate the flow of ideas.
3. Highlighted features that emphasize concepts and mathematical reasoning including Conceptual Insight, Graphical Insight, Assumptions Matter, Reminder, and Historical Perspective.
4. A rich collection of examples and exercises of graduated difficulty that teach basic skills as well as problem-solving techniques, reinforce conceptual understanding, and motivate calculus through interesting applications. Each section also contains exercises that develop additional insights and challenge students to further develop their skills.
Achieve for Calculus redefines homework by offering guidance for every student and support for every instructor. Homework is designed to teach by correcting students misconceptions through targeted feedback, meaningful hints, and full solutions, helping teach students conceptual understanding and critical thinking in real-world contexts.
Success Stories
Here are a few examples of how Achieve has helped instructors like you improve student preparedness, enhance their sense of belonging, and achieve course goals they set for themselves.
Prof. Kiandra Johnson, Spelman College
See how the resources in Achieve help you engage students before, during, and after class.
Prof. Jennifer Duncan
Use diagnostics in Achieve for a snapshot into cognitive and non-cognitive factors that may impact your students’ preparedness.
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Here’s why educators who use Achieve would recommend it to their peers.
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Instructor Resources
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Test Bank for Calculus
Jon Rogawski; Colin Adams; Robert Franzosa | Fourth Edition | ©2019 | ISBN:9781319221287
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ISBN:9781319055844
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ISBN:9781319406950
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Are you a campus bookstore looking for ordering information?
MPS Order Search Tool (MOST) is a web-based purchase order tracking program that allows customers to view and track their purchases. No registration or special codes needed! Just enter your BILL-TO ACCT # and your ZIP CODE to track orders.
Canadian Stores: Please use only the first five digits/letters in your zip code on MOST.
Visit MOST, our online ordering system for booksellers: https://tracking.mpsvirginia.com/Login.aspx
Learn more about our Bookstore programs here: https://www.macmillanlearning.com/college/us/contact-us/booksellers
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Our courses currently integrate with Canvas, Blackboard (Learn and Ultra), Brightspace, D2L, and Moodle. Click on the support documentation below to find out more details about the integration with each LMS.
Integrate Macmillan courses with Blackboard
Integrate Macmillan courses with Canvas
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-
If you’re a verified instructor, you can request a free sample of our courseware, e-book, or print textbook to consider for use in your courses. Only registered and verified instructors can receive free print and digital samples, and they should not be sold to bookstores or book resellers. If you don't yet have an existing account with Macmillan Learning, it can take up to two business days to verify your status as an instructor. You can request a free sample from the right side of this product page by clicking on the "Request Instructor Sample" button or by contacting your rep. Learn more.
-
-
-
Sometimes also referred to as a spiral-bound or binder-ready textbook, loose-leaf textbooks are available to purchase. This three-hole punched, unbound version of the book costs less than a hardcover or paperback book.
-
-
-
Achieve (full course) includes our complete e-book, as well as online quizzing tools, multimedia assets, and iClicker active classroom manager.
Most Achieve Essentials courses do not include our e-books and adaptive quizzing.
Visit our comparison table for details: https://www.macmillanlearning.com/college/us/digital/achieve/compare
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-
-
Achieve (full course) includes our complete e-book, as well as online quizzing tools, multimedia assets, and iClicker active classroom manager.
Achieve Read & Practice only includes our e-book and adaptive quizzing, and does not include instructor resources and assignable assessments. Read & Practice does integrate with LMS.
Visit our comparison table for details: https://www.macmillanlearning.com/college/us/digital/achieve/compare
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We can help! Contact your representative to discuss your specific needs for your course. If our off-the-shelf course materials don’t quite hit the mark, we also offer custom solutions made to fit your needs.
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Calculus
The authors goal for the book is that its clearly written, could be read by a calculus student and would motivate them to engage in the material and learn more. Moreover, to create a text in which exposition, graphics, and layout would work together to enhance all facets of a student’s calculus experience. They paid special attention to certain aspects of the text:
1. Clear, accessible exposition that anticipates and addresses student difficulties.
2. Layout and figures that communicate the flow of ideas.
3. Highlighted features that emphasize concepts and mathematical reasoning including Conceptual Insight, Graphical Insight, Assumptions Matter, Reminder, and Historical Perspective.
4. A rich collection of examples and exercises of graduated difficulty that teach basic skills as well as problem-solving techniques, reinforce conceptual understanding, and motivate calculus through interesting applications. Each section also contains exercises that develop additional insights and challenge students to further develop their skills.
Achieve for Calculus redefines homework by offering guidance for every student and support for every instructor. Homework is designed to teach by correcting students misconceptions through targeted feedback, meaningful hints, and full solutions, helping teach students conceptual understanding and critical thinking in real-world contexts.
Sample Achieve