Applications of the Integral:
    Area, volume of revolution, work, and energy. 
  Exponential, Logarithmic, Inverse Trigonometric, and the Hyperbolic Functions:
    Definitions, differentiation, and integration.  Applications (growth & 
    decay models). L'Hospital's Rule.
  Techniques of Integration:
    Basic rules, integration by parts, trigonometric integrals, trigonometric 
    substitution, partial fraction expansion, improper integrals, numerical
    integration.
  Further Applications and Taylor Polynomials:
    Arc length and surface area,  fluid pressure and force, center of mass,
    Taylor polynomials.
  Differential Equations:
    The briefest of introductions. 

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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