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)