The distinctive order of topics has proven over the years to be successful easier for students to learn,and more interesting because see significant applications early.For instance,the derivative is explained geometrically before the analytic material on limits is presented. This approach gives the students an understanding of the derivative at least as strong as that obtained from the traditional approach.

To reach the applications in Chapter 2 quickly,we present only the differentiations rules and the curve sketching needed for those applications. Advanced topics come later when they are needed. Other aspects of this student-oriented approach follow below.

1. The Derivative
2. Applications of the Derivative
3. Techniques of Differentiation
4. The Exponential and Natural Logarithm Funtions
5. Applications of the Exponential and Natural Logarithm
Functions
6. The Definite Integral
7. Function of Several Variables
8. The Trigonometric Functions
9. Techniques of Integration
10. Differential Equations
11. Taylor Polynomials and Infinite Series
12. Probability and Calculus