Differentiation:
    Rates of change, limits, tangent lines, derivatives, continuity, bisection 
    algorithm, derivatives of polynomial functions and powers of x, exponential
    and logarithmic functions, products, quotients, the chain rule, differentials, 
    antiderivatives, applications:  increasing and decreasing functions,
    concavity, optimization, implicit differentiation and related rates.
  Integration:
    Area, the definite integral, the Fundamental Theorem of Calculus, substitution,
    numerical integration, integration by parts, applications:  areas of plane
    regions, exponential growth and decay.
  Multivariable Calculus:
    Functions of several variables, partial derivatives, optimization, least
    squares approximation, Lagrange multipliers.

WRITING UP HOMEWORK SOLUTIONS: You are expected to show all essential steps in solving a problem. Draw appropriate figures. If in doubt, PUT IT IN! Make your solution flow. Ask yourself the question: "If I were the reader, how would I score this problem?'' Numerical answers alone, single words "yes" or "no", etc., are NEVER, EVER acceptable as complete answers. One of the skills you are expected to learn in this class is that of communicating mathematics clearly and completely in writing. Writing up homework exercises is your opportunity to hone these skills. Your grade depends on it!

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