Math 205 Final Exam Blueprint
Friday, April 24, 9:00 am, G103

Exam Structure: 5 multi-part questions:
Time: 2.5 hours
Formula sheet will be provided
Graphing calculators may be used

1. Techniques of integration:
   -Riemann sums and how to define integrals
   -integration by parts and trig subs.
   -Simple substitution is a MUST
   (sample questions: try sections 5.2, 5.3)
   
   
2. Applications of the Integral
   - areas, volumes and lengths
   -how to use derivatives and integrals to represent things in the real world
   (sample questions: try sections 8.1, 8.2 and review pgs 481-486)
   
   
3. Ways of Solving Differential Equations
   -the basic ideas of separation of variables and using initial conditions
   (sample questions: try sections 11.1, 11.2, 11.4)
   
   
4. Applications of Differential Equations
   -populations, heating cooling or exponential growth/decay
   -slope fields
   (sample questions: try sections 11.5 - 11.7 and review pgs 665-660, Omit 11.3, 11.8,11.9)
   
   
5. Infinite Series and Convergence Tests
   -understanding of what convergence entails
   -integral and comparison (squeeze theorem) tests
   -Taylor and binomial expansions
   (sample questions: try sections 9.1-9.5, 10.1 - 10.3, and review pgs 529-532 and 578 - 581, Omit 10.4, 10.5)
   

Examp Preparation Suggestions:

• form a study group with 2 other people
  
• assign 5 topics each (one from each section above) and have the person in your group explain that to the rest of the group.
  
• always start from the "big picture" - how do you recognize integral subs and methods, what is an integral (explain in words and pictures), what is a differential equation and a slope field etc...
  
• review your homework and midterms together