This is an introductory calculus course. Students should
understand the concept of limit and the meaning and import of
continuity. The student should understand the concept of the
derivative, and be able to calculate the derivatives of
algebraic, exponential, logarithmic, and trigonometric 
functions.
Students are expected to set up and solve maximum 
and minimum problems using the methods of calculus. Students
should be able to use calculus to make approximations and sketch
graphs. Students should also be able to calculate 
antiderivatives and solve some elementary differential 
equations. The student should, in addition, understand the 
meaning and application of the derivative in the context of 
economics.

1. Overview of course. Limits and continuity.
2. Tangent lines, velocity, rules for differentiation;
differentiation of trigonometric, exponential, and logarithmic
functions. Implicit differentiation.
3. Rates of change and related rates applications.
4. Increasing/decreasing functions, concavity, limits involving
infinity, extrema of functions, curve sketching.
5. Optimization applications.
6. Derivatives and linear approximations.
7. Business applications.
8. Antiderivatives, separable differential equations and
applications.