By DORON ZEILBERGER

These are the handouts I gave out when I taught Calculus I (during Fall 2008), Calculus II (during Fall 2012), and Multivariable Calculus (aka as Calculus III) (during Fall 2009).

- Chapter 2 (Limits and Derivatives)
- HandOut 2.1 (Limits, Rates of Change and Tangent Lines)
- HandOut 2.2 (Limits: A Numerical and Graphical Approach)
- HandOut 2.3 (Basic Limit Laws)
- HandOut 2.4 (Limits and Continuity)
- HandOut 2.5 (Evaluating Limits Algebraically)
- HandOut 2.6 (Trigonometric Limits)
- HandOut 2.7 (The Intermediate Value Theorem)
- HandOut 2.8 (The Formal Definition of the Limit)

- Chapter 3 (Differentiation Rules)
- HandOut 3.1 (The Definition of the Derivative at a Point)
- HandOut 3.2 (The Definition of the Derivative as a Function)
- HandOut 3.3 (The Product and Quotient Rules)
- HandOut 3.4 (Rates of Change)
- HandOut 3.5 (Higher Derivatives)
- HandOut 3.6 (Trigonometric Functions)
- HandOut 3.7 (The Chain Rule)
- HandOut 3.8 (Implicit Differentiation)
- HandOut 3.9 (Derivatives of Inverse Functions)
- HandOut 3.10 (Derivatives of General Exponential and Derivative Functions
- HandOut 3.11 (Related Rates)

- Chapter 4 (Applications of Differentiation)
- HandOut 4.1 (Linear Approximation)
- HandOut 4.2 (Extreme Values)
- HandOut 4.3 (The Mean Value Theorem and Monotonicity)
- HandOut 4.4 (The Shape of a Graph)
- HandOut 4.5 (Graph Sketching and Asymptotics)
- HandOut 4.6 (Applied Optimization)
- HandOut 4.7 (L'Hôspital's rule)
- HandOut 4.8 (Newton's Method)
- HandOut 4.9 (Antiderivatives)

- Chapter 5 (Intgerals)

- First Quiz Full Solutions to First Quiz
- Second Quiz Full Solutions to Second Quiz
- Third Quiz Full Solutions to Third Quiz
- Fourth Quiz Full Solutions to Fourth Quiz
- Fifth Quiz Full Solutions to Fifth Quiz
- Sixth Quiz Full Solutions to Sixth Quiz
- Seventh Quiz Full Solutions to Seventh Quiz
- Eighth Quiz Full Solutions to Eighth Quiz
- 9th Quiz Full Solutions to 9th Quiz
- 10th Quiz Full Solutions to 10th Quiz
- 11th Quiz Full Solutions to 11th Quiz
- 12th Quiz Full Solutions to 12th Quiz
- 13th Quiz Full Solutions to 13th Quiz
- 14th Quiz Full Solutions to 14th Quiz
- 15th Quiz Full Solutions to 15th Quiz
- 16th Quiz Full Solutions to 16th Quiz
- 17th Quiz Full Solutions to 17th Quiz
- 18th Quiz Full Solutions to 18th Quiz
- 19th Quiz Full Solutions to 19th Quiz
- 20th Quiz Full Solutions to 20th Quiz
- 21st Quiz Full Solutions to 21st Quiz
- 22nd Quiz Full Solutions to 22nd Quiz
- 23rd Quiz Full Solutions to 23rd Quiz
- 24th Quiz Full Solutions to 24th Quiz
- 25th Quiz Full Solutions to 25th Quiz

- Chapter 12 (Limits and Derivatives)
- Chapter 13 (Calculus of Vector-Valued Functions)
- Chapter 14 (Differentiation in Several Variables)
- HandOut 14.2 (Limits and continuity in several variabbles)
- HandOut 14.3 (Partial derivatives)
- HandOut 14.4 (Differntiability, Linear approximations, and tangent planes)
- HandOut 14.5 (The gradient and directional derivatives)
- HandOut 14.6 (The chain rule)
- HandOut 14.7 (Optimization in several variables)
- HandOut 14.8 (Lagrange multipliers; optimizing with a constraint)

- Chapter 15 (Multiple Integration)
- HandOut 15.1 (Integration in several variables)
- HandOut 15.2 (Double integrals over general regions)
- HandOut 15.3 (Triple integrals)
- HandOut 15.4a (Double integrals in polar coordinates)
- HandOut 15.4b (Integration in Spherical and Cylindrical coordinates)
- HandOut 15.5 (Change of variables in multi-integrals)

- Chapter 16 (Line and Surface Integrals)
- Chapter 17 (Fundamental Theorems of Vector Calculus)
- The last handout