#MULTIVARIABLE CALCULUS ROGAWSKI FULL#
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. 10.3 Convergence of Series with Positive Termsġ0.4 Absolute and Conditional Convergenceġ0.5 The Ratio and Root Tests and Strategies for Choosing TestsĬhapter 11: Parametric Equations, Polar Coordinates, and Conic Sectionsġ1.4 Area and Arc Length in Polar Coordinatesġ2.2 Three-Dimensional Space: Surfaces, Vectors, and Curvesġ2.3 Dot Product and the Angle Between Two Vectorsġ2.7 Cylindrical and Spherical CoordinatesĬhapter 13: Calculus of Vector-Valued Functionsġ3.6 Planetary Motion According to Kepler and NewtonĬhapter 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 Constraintġ5.2 Double Integrals Over More General Regionsġ5.4 Integration in Polar, Cylindrical, and Spherical Coordinatesġ6.4 Parametrized Surfaces and Surface IntegralsĬhapter 17: Fundamental Theorems of Vector Analysis
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