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# Class Note for MATH 2433 with Professor Etgen at UH

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This 2 page Class Notes was uploaded by an elite notetaker on Friday February 6, 2015. The Class Notes belongs to a course at University of Houston taught by a professor in Fall. Since its upload, it has received 20 views.

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Date Created: 02/06/15
University of Houston Department of Mathematics MATH 2433 Text CALCULUS 9 11 edition Authors Salas Hille Etgen John Wiley amp Sons Inc Syllabus Chapter 12 VECTORS Section 121 Section 122 Section 123 Section 124 Section 125 Section 126 Section 127 Cartesian Space Coordinates Displacements and Forces Vectors The Dot Product The Cross Product Lines Planes Chapter 13 VECTOR CALCULUS Section 131 Section 132 Section 133 Section 134 Section 135 Exam 1 Vector Functions Differentiation Formulas Curves Arc Length Curvilinear Motion Curvature Chapter 14 FUNCTIONS OF SEVERAL VARIABLES Section 141 Section 142 Section 143 Section 144 Section 145 Section 146 Elementary Examples A Brief Catalogue of Quadric Surfaces Projections Graphs Level Curves and Level Surfaces Partial Derivatives Open Sets and Closed Sets Limits and Continuity Equality of Mixed Partials Chapter 15 GRADIENTS EXTREME VALUES DIFFERENTIALS Section 155 Section 152 Section 153 Section 154 Section 155 Section 156 Differentiability and Gradient Gradients and Directional Derivatives The MeanValue Theorem Chain Rules The Gradient as a Normal Tangent Lines and Tangent Planes Local Extreme Values Absolute Extreme Values Section 157 Section 158 Section 159 Exam 2 Maxima and Minima with Side Conditions Differentials Reconstructing a Function from its Gradient Chapter 16 DOUBLE AND TRIPLE INTEGRALS Section 162 Section 163 Section 164 Section 165 Section 166 Section 167 Section 168 Section 169 Section 1610 The Double Integral The Evaluation of a Double Integral by Repeated Integrals Double Integrals in Polar Coordinates Some Applications of Double Integration Triple Integrals Reduction to Repeated Integrals Triple Integrals in Cylindrical Coordinates The Triple Integral as a Limit of Riemann Sums Spherical Coordinates Jacobians Changing Variables in Multiple Integration Chapter 17 LINE INTEGRALS AND SURFACE INTEGRALS Section 171 Section 172 Section 173 Section 174 Section 175 Exam 3 Line Integrals The Fundamental Theorem for Line Integrals WorkEnergy Formula Conservation of Mechanical Energy Line Integrals with Respect to Arc Length Green s Theorem

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