Lecture Web Pages Modeling Discrete Data; Method of Least Squares Functions and Their Graphs; New Functions from Old Trigonometric Functions Exponential and Logarithmic Functions Case Study: Modeling the AIDS Data Modeling Rates of Change The Legacy of Galileo, Newton, and Leibniz; Limits of Functions; Limits at Infinity Continuity; Tangent lines and Their Slopes Tangent Lines and Their Slopes (contd.); The Derivative Differentiation Rules Derivatives of Trigonometric Functions The Mean Value Theorem; Implicit Differentiation Derivatives of Exponentials and Logs Newton's Method; Linear Approximations Antiderivatives and Initial Value Problems; Velocity and Acceleration Case Study: Torricelli's Law Modeling with Differential Equations; Separable Differential Equations: First Look Exponential Growth and Decay; Separable Differential Equations Slope Fields and Euler's Method; Case Study: Population Modeling Issues in Curve Sketching Modeling Accumulations The Definite Integral; Properties of the Definite Integral The Fundamental Theorem of Calculus; Techniques of Integration Trapezoid rule; Areas Between Curves Arc Length Case Study: Flood Watch Inverse Trigonometric Functions Related Rates Optimization Volumes of Solids of Revolution

Calculus on Demand (COD) is an on-line version of a first calculus course. At Dartmouth, that course is called Math 3, Introduction to Calculus. COD contains lecture Web pages for the topics typically found in such a first course and in the College Board AP (AB) exam. You can use COD to learn calculus for the first time, or to review material that you have already studied. COD is flexible in that you can begin with Lecture 1 and proceed in order through the lectures, or you can check your understanding of the things you think you know and concentrate on the topics where you need more work. Before you go any further, click on the Letter to Students, which explains how COD is organized and how to use it most effectively. The lecture Web pages have been designed so that they can be used to study calculus with any textbook, although we specify a particular book so that we have something to refer to. If you already have a book, feel free to refer to it instead. COD features the following on-line components, among others: Detailed examples with solutions. Video tutorials of problems being worked out step by step. Quizzes. Practice problems that tell you if you are right or wrong. Written solutions to the homework problems. Sample tests covering roughly the first third of the topics, the second third, and then comprehensive tests on the entire course. A bulletin board where you exchange information with other users of COD by posting comments or asking questions. We hope you enjoy using COD to study calculus on-line. Software requirements: For best results, use Mozilla Firefox. Click here to get Firefox and preferred software, all free. Letter to instructors: If you are using COD to teach calculus, read this page.