Supplements


Past Final Exams

Note: Solutions will not be posted on line, but you can ask about them in class or during office hours. 

  • Fall 2012
  • Spring 2013
  • Winter 2015

 Study Guides

  • SG 1 - Precalculus and limits. Solutions
  • SG 2 - Limits, continuity and derivatives. Solutions
  • SG 3 - More differentiation; Elasticity; Taylor polynomials. Solutions
  • SG 4 - Optimization. Solutions
  • SG 5 - Applied optimization (and curve sketching). Solutions

 


Supplementary Notes

  • SN 1 - Modeling economic variables
  • SN 2 - Solving equations, a review
  • SN 3 - Exponential and logarithmic functions
  • SN 4 - Continuous functions, smooth functions and the derivative
  • SN 5 - Marginal functions and linear approximation
  • SN 6 - Percentage change and elasticity
  • SN 7 - Taylor polynomials 

 Lecture Slides

  • Wednesday, Jan 6.
  • Monday, Jan 11 (limits at infinity)
  • Wednesday, Jan 13
  • Friday, Jan 15
  • Wednesday, Jan 20
  • Monday, Jan 25 (linear approximation)
  • Wednesday, Jan 27 (product, quotient, chain)
  • Wednesday, Feb 3 (Differentiating log and exponential functions)
  • Friday, Feb 5 (Elasticity)
  • Monday, Feb 8 (Higher order derivatives and quadratic approximation)
  • Wednesday, Feb 10 (Taylor polynomials)
  • Wednesday, Feb 17 (Optimization 1 - first derivative test)
  • Monday, Feb 22 (Concavity and the second derivative)