Spring 2004 

We will use this page to post old exams and solutions to help you study and to post reveiw problems and the solutions.

The Integration Technique Test.
Here is a list of integral problems and answers from which at least 70% of the technique test questions will be chosen.

The first midterm
Here are some previous exams and solutions that should provide a good review of the material you have covered to date.
There is also a REVIEW SHEET for the first exam now posted under Supplements. Finally, below you can find the solutions to this year's first midterm:

The second midterm
Here are some previous exams and solutions that should provide a good review of the material you have covered to date. Because of changes in the syllabus, you are not responsible for problems that involve the Taylor remainder theorem.These problems are noted below:
Here is a review sheet prepared for the second midterm.
Review Sheet
Finally, below you can find the solutions to this year's first midterm:

Final
Past final exams can be found below. You are not responsible for problems requiring the Taylor Remainder, Surface Area, and solving differential equations with series.
Here is a differential equation review sheet.
And a more qualitative one. (Note: Part of #8 is mysteriously absent. The equation is x'' +x' + 4x =0 and the initial conditions are x(0) = 1 and x'(0) = 1.)

Please send comments to math1b@fas.harvard.edu 