**Topical Outline:** | 1. Overview of calculus.
2. The limit concept, properties, continuity.
3. The derivative: the derivative, rules, derivatives of
trigonometric, logarithmic,
and exponential functions.
4. Applications of the derivative: maximum/minimum problems,
related rates,
the derivative as best linear approximation.
5. Mean Value Theorem and applications, interpretation of first
and second
derivatives, curve sketching, L'Hôpital's Rule.
6. The integral, area under curves, Fundamental Theorem of
Calculus, and
applications. |