# Math 221

## Spring 2006

A first-semester calculus course.

- Syllabus.
- Problem Set 1, Solutions. Limits, continuity, Pascal's triangle.
- Problem Set 2, Solutions. Trig limits, e
^{x}, limits at infinity of rational functions.
- Problem Set 3, Solutions. Differentiation.
- Anecdote about the tangent line approximation from
*Surely You’re Joking, Mr. Feynman*.
- Problem Set 4, Solutions. More differentiation, tangent-line approximation, Newton's method.
- Solution to the sandbag problem from 2/15.
- Problem Set 5, Solutions. Related rates, implicit differentiation, logarithmic differentiation.
- Practice Exam 1.
- Exam 1. Solutions.
- Problem Set 6, Solutions. Optimization, e
^{-1/x2}.
- Problem Set 7, Solutions. Graphing.
- Problem Set 8, Solutions. Integrals of positive and negative functions.
- Problem Set 9, Solutions.
- Practice Exam 2. Solutions. Substitution.
- Exam 2. Solutions.
- Problem Set 10, Solutions. Fundamental theorem, partitions.
- Problem Set 11, Solutions. Solids of revolution, arc length.
- Problem Set 12, Solutions. Average values.
- Problem Set 13, Solutions. First-order ODEs.
- Practice Exam 3. Solutions.
- Exam 3. Solutions.