This heady calculus text covers the subjects of differential and integral calculus with rigorous detail, culminating in a chapter of physics and engineering applications. A particular emphasis on classic proof meshes with modern graphs, rendered visuals, and real-life examples to create a remarkably well-rounded collegiate level text. Notable resources include the lengthy appendices, with lists of integrals and background material, table of unit conversions, and answer key to nearly all the textbook problems.

Concepts

differential calculus, integrals, sequences, number theory

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Additional Tags

math

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Instructional Ideas

• Consider using the beautiful graphs and renderings from the chapters, especially the 3D ones, to enrich a lower-level curriculum
• Introduce proofs and explanatory language in a pre-calculus class as examples of mathematical rigor
• Use the material from the Chapter 5 applications in a cross-curricular unit with the physics department or as material to go with a presentation from an engineer or physicist

Classroom Considerations

• Material is very densely written and might require significant support even for the high-level pre-calculus class
• Many diagrams in the pdf are drawn in color which might be a consideration for visually impaired learners or when creating copies for the class

Pros

• Careful and rigorous mathematical treatment of each subject
• Wide and deep coverage of integral calculus
• High quality graphics and applications provided
• Emphasis on STEM connections

Cons

• Answer key provided is solutions only, not worked problems
• No assessments aligned to chapters available

Common Core

MP1 MP2 MP3 MP4 MP5 MP6 MP7 MP8