Calculus and analytic geometry /
Donald Trim
- Reading, Massachusetts : Addision-Wesley Publishing Company, c1983
- xix, 866, 57 pages : illustrations ; 26 cm.
Includes index.
1 Plane Analytic Geometry and Functions -- 2 Limits and Continuity -- 3 Differentiation -- 4 Applications of Differentiation -- 5 The indefinite Integral or Antiderivative -- 6 The Definite Integral -- 7 Applications of the Definite Integral -- 8 Transcendental Functions and Their Derivatives -- 9 Techniques of Integration -- 10 Conic-Sections, Polar Coordinates, and Parametric Equations -- 11 Infinite Sequences and Series -- 12 Vectors and Three-dimensional Analytic Geometry -- 13 Differential Calculus of Multivariable Functions -- 14 Multiple Integrals -- 15 Vector Calculus -- 16 Differential Equations.
This text, like many others, evolved from a set of notes developed by the author over a number of years of teaching freshman and sophomore calculus.