The formal language of mathematics is intimidating to the uninitiated. Calculus:Early Transcendentals presents concepts in everyday language, which is more familiar but not less precise, in order to open the way for students to understand the underlying ideas and integrate them into their way of thinking. Students are then in a better position to appreciate the need for formal definitions and proofs and to grasp their logic.
Precalculus Review | Limits | Differentiation | Applications of the Derivative | The Integral | Applications of the Integral | Techniques of Integration | Further Applications of the Integral and Taylor Polynomial | Introduction to Differential Equations | Infinite Series | Parametric Equations, Polar Coordinates, and Conic Sections | Vector Geometry | Calculus of Vector-Valued Functions | Differentiation in Several Variables | Multiple Integration | Line and Surface Integrals | Fundamental Theorems of Vector Analysis
Calculus and Analysis
, Differential Equations