Introduction: Calculus: A New Horizon from Ancient Roots; Functions; Limits and Continuity; The Derivative; The Derivative in Graphing and Applications; Integration; Applications of the Definite Integral in Geometry, Science, and Engineering; Exponential, Logarithmic, and Inverse Trigonometric Functions; Principles of Integral Evaluation; Mathematical Modeling with Differential Equations; Infinite Series; Analytic Geometry in Calculus; Three-Dimensional Space; Vectors; Vector-Valued Functions; Partial Derviatives; Multiple Integrals; Topics in Vector Calculus; Horizon Module: Hurricane Modeling; Appendix A: Real Numbers, Intervals, and Inequalities; Appendix B: Absolute Value; Appendix C: Coordinate Planes and Lines; Appendix D: Distance, Circles, and Quadratic Equations; Appendix E: Trigonometry Review; Appendix F: Solving Polynomial Equations; Appendix G: Selected Proofs; Answers; Photo Credits; Index
