Calculus II for the Social Sciences

Content

• Antiderivatives (1.5 weeks):
  Methods of integration, Tables of integrals, using computers.
• The Fundamental Theorem of Calculus (2.5 weeks):
  Definite integrals, areas, numerical approximations, applications in business.
• Functions of 2 or more variables (3 weeks):
  Partial derivatives, critical points, tangent planes, least squares approximation, double integrals.
• Differential equations (2 weeks):
  Examples of first order equations, examples of first order systems.
• Continuous probability (1.5 weeks):
  Mean, variance, conditional probability, the normal distribution.
• Sequences and series (1.5 weeks):
  Infinite sequences and sums, Taylor polynomials, convergence.