Includes index.

PART 1: THE ROOTS OF CALCULUS: What is calculus, anyway? -- Polish up your algebra skills -- Equations, relations, and functions, oh my! -- Trigonometry: last stop before calculus -- PART 2: LAYING THE FOUNDATION FOR CALCULUS: Take it to the limit -- Evaluating limits numerically -- Continuity -- The difference quotient -- PART 3: THE DERIVATIVE: Laying down the law for derivatives -- Common differentiation tasks -- Using derivatives to graph -- Derivatives and motion -- Common derivative applications -- PART 4: THE INTEGRAL: Approximating area -- Antiderivatives -- Applications of the fundamental theorem -- Integration tips for fraction -- Advanced integration methods -- Applications of integration -- PART 5: DIFFERENTIAL EQUATIONS, SEQUENCES, SERIES, AND SALUTATIONS: Differential equations -- Visualizing differential equations -- Sequences and series -- Infinite series convergence tests -- Special series -- Final exam -- APPENDIXES: A: Solutions to "You've got problems" -- B: Glossary.

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