This main goal of the course is to gain an understanding and appreciation of the basic ideas underlying a remarkable achievement of the human intellect: the differential calculus of singlevariable functions.
Notice that the goal is not to provide the student with a set of computational techniques and procedures for solving a set of predefined problems. Rather, the emphasis is on the fundamental concepts and how they relate to each other. Computation is an important part of this process, but it is not the only one, nor is it the primary one. Students who approach this course assuming that "the answer" is the only thing that counts will find it frustrating and are not likely to do well.
The material to be covered includes:
 Functions, limits and continuity
 Inverse Functions
 Logarithms and exponential functions
 Trigonometric and Inverse trigonometric functions
 Derivatives of functions
 Rules of differentiation
 Tangents and tangent lines
 Applications of derivatives
 The definite integral
 Antiderivatives and the indefinite integral
 The Fundamental Theorem of Calculus
 Integration techiques
 Applications of integrals
 Improper integrals
See the the course outline for more details.

