Jon’s commitment to presenting the beauty of calculus and the important role it plays in students’ understanding of the wider world is the legacy that lives on in each new edition of Calculus.Ĭolin Adams is the Thomas T. Sadly, Jon Rogawski passed away in September 2011. These valuable lessons made an impact on his thinking, his writing, and his shaping of a calculus text. He was the recipient of a Sloan Fellowship and an editor of the Pacific Journal of Mathematics and the Transactions of the AMS.Īs a successful teacher for more than 30 years, Jon Rogawski listened and learned much from his own students. He published numerous research articles in leading mathematics journals, including the research monograph Automorphic Representations of Unitary Groups in Three Variables (Princeton University Press). Jon’s areas of interest were number theory, automorphic forms, and harmonic analysis on semisimple groups. Before joining the Department of Mathematics at UCLA in 1986, where he was a full professor, he held teaching and visiting positions at the Institute for Advanced Study, the University of Bonn, and the University of Paris at Jussieu and Orsay. Jon Rogawski received his undergraduate and master’s degrees in mathematics simultaneously from Yale University, and he earned his PhD in mathematics from Princeton University, where he studied under Robert Langlands. 1.6 Exponential and Logarithmic Functionsġ.7 Technology: Calculators and ComputersĬhapter Review Exercises Chapter 2: LimitsĢ.1 The Limit Idea: Instantaneous Velocity and Tangent LinesĢ.6 The Squeeze Theorem and Trigonometric LimitsĬhapter Review Exercises Chapter 3: Differentiationģ.9 Derivatives of General Exponential and Logarithmic FunctionsĬhapter Review Exercises Chapter 4: Applications of the DerivativeĤ.1 Linear Approximation and ApplicationsĤ.3 The Mean Value Theorem and MonotonicityĤ.6 Analyzing and Sketching Graphs of FunctionsĬhapter Review Exercises Chapter 5: Integrationĥ.4 The Fundamental Theorem of Calculus, Part Iĥ.5 The Fundamental Theorem of Calculus, Part IIĥ.6 Net Change as the Integral of a Rate of ChangeĬhapter Review Exercises Chapter 6: Applications of the IntegralĦ.2 Setting Up Integrals: Volume, Density, Average ValueĦ.3 Volumes of Revolution: Disks and WashersĦ.4 Volumes of Revolution: Cylindrical ShellsĬhapter Review Exercises Chapter 7: Techniques of Integrationħ.4 Integrals Involving Hyperbolic and Inverse Hyperbolic FunctionsĬhapter Review Exercises Chapter 8: Further Applications of the IntegralĬhapter Review Exercises Chapter 9: Introduction to Differential EquationsĬhapter Review Exercises Chapter 10: Infinite Seriesġ0.3 Convergence of Series with Positive Termsġ0.4 Absolute and Conditional Convergenceġ0.5 The Ratio and Root Tests and Strategies for Choosing TestsĬhapter Review Exercises Chapter 11: Parametric Equations, Polar Coordinates, and Conic Sectionsġ1.4 Area and Arc Length in Polar CoordinatesĬhapter Review Exercises Chapter 12: Vector Geometryġ2.2 Three-Dimensional Space: Surfaces, Vectors, and Curvesġ2.3 Dot Product and the Angle Between Two Vectorsġ2.7 Cylindrical and Spherical CoordinatesĬhapter Review Exercises Chapter 13: Calculus of Vector-Valued Functionsġ3.6 Planetary Motion According to Kepler and NewtonĬhapter Review Exercises Chapter 14: Differentiation in Several Variablesġ4.2 Limits and Continuity in Several Variablesġ4.4 Differentiability, Tangent Planes, and Linear Approximationġ4.5 The Gradient and Directional Derivativesġ4.8 Lagrange Multipliers: Optimizing with a ConstraintĬhapter Review Exercises Chapter 15: Multiple Integrationġ5.2 Double Integrals Over More General Regionsġ5.4 Integration in Polar, Cylindrical, and Spherical CoordinatesĬhapter Review Exercises Chapter 16: Line and Surface Integralsġ6.4 Parametrized Surfaces and Surface IntegralsĬhapter Review Exercises Chapter 17: Fundamental Theorems of Vector Analysis
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