Calculus: a Complete Course, 9th Edition contains 19 chapters, P and 1—18, plus 5 Appendices. It covers the material usually encountered in a three- to five-semester real-variable calculus program, involving real-valued functions of a single real variable (differential calculus in Chapters 1—4 and integral calculus in Chapters 5—8), as well as vector-valued functions of a single real variable (covered in Chapter 11), real-valued functions of several real variables (in Chapters 12—14), and vector-valued functions of several real variables (in Chapters 15—17). Chapter 9 concerns sequences and series, and its position is rather arbitrary.
Chapter 10 contains necessary background on vectors and geometry in 3-dimensional space as well as some linear algebra that is useful, although not absolutely essential, for the understanding of subsequent multivariable material. Material on differential equations is scattered throughout he book, but Chapter 18 provides a compact treatment of ordinary differential equations (ODEs), which may provide enough material for a one-semester course on the subject.
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