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The author's goal for the book is that it's 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.
List of contents
1: Precalculus Review
2: Limits
3: Differentiation
4: Applications of the Derivative
5: Integration
6: Applications of the Integral
7: Techniques of Integration
8: Further Applications of the Integral
9: Introduction to Differential Equations
10: Infinite Series
11: Parametric Equations, Polar Coordinates, and Conic Sections
12: Vector Geometry
13: Calculus of Vector-Valued Functions
14: Differentiation in Several Variables
15: Multiple Integration
16: Line and Surface Integrals.
About the author
Jon Rogawski was Full Professor at the Department of Mathematics at UCLA. He held teaching positions at Yale and the University of Chicago, and research positions at the Institute for Advanced Study and University of Bonn. Jon sadly passed away in 2011.
Colin Adams is the Thomas T. Read Professor of Mathematics at Williams College, where he has taught since 1985. He has produced a number of books that make mathematics more accessible and relatable.
Robert (Bob) Franzosa is a professor of mathematics at the University of Maine where he has been on the faculty since 1983. Bob has been involved in mathematics education outreach in the state of Maine for most of his career.
