# Math 13: Multivariable Calculus

Spring 2011

A study guide for Midterm 1 (April 20, 2011).

A study guide for Midterm 2 (May 18, 2011).

A study guide for the Final Exam (June 4, 2011).

Detailed Syllabus for Section 02

 Title Date Topics Introductory Slide Show 3/28/2011 Introductory slide show Class 1 Notes 3/28/2011 Administrative information, introduction to topics in Math 13 Class 2 Notes 3/30/2011 Chapter 13: vectors, dot product, cross product, lines and planes Class 3 Notes 4/1/2011 Chapter 14, 15: vector-valued functions, arc length, partial derivatives Class 4 Notes Maple worksheet 4/4/2011 Chapter 15, 16.1: directional derivatives, gradients, tangent planes, introduction to integration Class 5 Notes 4/6/2011 Chapter 16.2: Iterated integrals, Fubini's Theorem Class 6 Notes 4/8/2011 Chapter 16.3: Integration over non-rectangular regions Class 7 Notes 4/11/2011 Chapter 16.4: Integration using polar coordinates Class 8 Notes, Class 8 Notes(part 2) 4/13/2011 Chapter 16.4, 16.5: Integration using polar coordinates, some applications of multiple integrals. Class 9 Notes 4/15/2011 Chapter 16.6: Triple integration Class 10 Notes 4/18/2011 Chapter 16.6, 16.7: Triple integration, cylindrical coordinates Class 11 Notes 4/20/2011 Chapter 16.8: Spherical coordinates Class 12 Notes 4/22/2011 Chapter 16.9: Change of variables and the Jacobian Class 13 Notes 4/25/2011 Chapter 17.2: Line integrals of scalar functions Class 14 Notes 4/27/2011 Chapter 17.1, 17.3: Vector fields, line integrals of vector fields Class 15 Notes 4/29/2011 Chapter 17.3: Fundamental Theorem of Calculus for line integrals Class 16 Notes 5/02/2011 Chapter 17.3: Fundamental Theorem of Calculus for line integrals Class 17 Notes 5/04/2011 Chapter 17.4: Green's Theorem Class 18 Notes 5/06/2011 Chapter 17.5: The divergence and curl Class 19 Notes 5/09/2011 Chapter 17.6: Parameterizing surfaces Class 20 Notes 5/11/2011 Chapter 17.7: Surface integrals of scalar functions Class 21 Notes 5/13/2011 Chapter 17.6, 17.7: Tangent planes, introduction to flux Class 22 Notes 5/16/2011 Chapter 17.7: Surfrace integrals of vector fields Class 23 Notes 5/18/2011 Chapter 17.7: Surface integrals of vector fields, continued Class 24 Notes 5/20/2011 Chapter 17.9: The Divergence Theorem Class 25 Notes 5/23/2011, 5/25/2011 Chapter 17.8: Stokes' Theorem

Last Updated May 26, 2011