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.