By DORON ZEILBERGER

These are the handouts I gave out when I taught Calculus I (Math 151), during the Fall Semester of 2003-2004 and 2004-2005. The section numbers refer to the textbook, which was `Calculus, fifth edition', by James Stewart, Thompson, Brooks/Cole.

- Chapter 2 (Limits and Derivatives)
- HandOut 2.1 (The Tangent and Velocity Problems)
- HandOut 2.2 (The Limit of a Function)
- HandOut 2.3 (Calculating Limits Using the Limit Laws)
- HandOut 2.4 (The Precise Definition of a Limit)
- HandOut 2.5 (Continuity)
- HandOut 2.6 (Limits at Infinity: Horizontal Asymptotes)
- HandOut 2.7 (Tangents, Velocities, and Other Rates of Change)
- HandOut 2.8 (Derivatives)

- Chapter 3 (Differentiation Rules)
- HandOut 3.1 (Derivatives of Polynomials and Exponential Functions)
- HandOut 3.2 (The Product and Quotient Rules)
- HandOut 3.3 (Rates of Change in the Natural and Social Sciences)
- HandOut 3.4 (Derivatives of Trigonometric Functions)
- HandOut 3.5 (The Chain Rule)
- HandOut 3.6 (Implicit Differentiation)
- HandOut 3.7 (Higher Derivatives)
- HandOut 3.8 (Derivatives of Logarithmic Functions)
- HandOut 3.10 (Related Rates)
- HandOut 3.11 (Linear Approximations and Differentials)

- Chapter 4 (Applications of Differentiation)
- HandOut 4.1 (Maximum and Minimum Values)
- HandOut 4.2 (The Mean Value Theorem)
- HandOut 4.3 (How Derivatives Affect the Shape of a Graph)
- HandOut 4.4 (Indeterminates Forms and L'Hospital's Rule)
- HandOut 4.5 (Summary of Curve Sketching)
- HandOut 4.7 (Optimization Problems)
- HandOut 4.9 (Newton's Method)
- HandOut 4.10 (Antiderivatives)

- Chapter 5 (Intgerals)
- Chapter 6 (Applications of Integration)