Course Description: 
Differential and integral calculus of functions of several variables and of vector fields. Topics include Euclidean, polar, cylindrical, and spherical coordinates; dot product, crossproduct, equations of lines and planes; continuity, partial derivatives, directional derivatives, optimization in several variables; multiple integrals, iterated integrals, change of coordinates, Jacobians, general substitution rule; curves and surfaces, parametrizations, line integrals, surface integrals; gradient, circulation, flux, divergence; conservative, solenoidal vector fields; scalar, vector potential; Green, Gauss, and Stokes theorems. 
Syllabus: 
Syllabus (PDF file) 
Schedule: 
MoTuWeTh 10:00am  11:45am in Y044180 
Text(s): 
Multivariable Calculus: Concepts and Contexts. 4th edition. By James Stewart. Cengage Learning 2009. ISBN: 9780495560548.
Multivariable Calculus  Lecture notes. Provided by instructor.

Help: 
Office hours: By appointment, MoTuWeTh 7:30  8:00 and 12:30  13:30 in S03091.
Please follow this link
to schedule a 10 or 20 minute appointment, at least 2 hours in advance. You can stop by my office without a confirmed appointment, but I may be unavailable.
Piazza: Instead of sending questions by email, please use the discussion boards available at piazza.com to post questions and provide answers. 
Assignments: 
Exams: in class, August 8 and August 25
Quizzes: in class, Jul 25, Aug 1, Aug 15, Aug 22
Homework: online, using WeBWorK

Important dates: 
Mon, Jul 18  First day of class Mon, Jul 25  Quiz #1 Mon, Aug 1  Quiz #2 Mon, Aug 8  Exam #1 Mon, Aug 15  Quiz #3 Mon, Aug 22  Quiz #4 Thu, Aug 25  Exam #2; Last day of class 
Useful links: 
Piazza  CMS  Message boards
WeBWorK  Online homework


Schedule:
Mon, Jul 18 
ThreeDimensional Coordinate Systems. Vectors. 


Tue, Jul 19 
The Dot Product. The Cross Product. 


Wed, Jul 20 
Equations of Lines and Planes. 


Thu, Jul 21 
Cylindrical and Spherical Coordinates. 


Mon, Jul 25 
Quiz #1. Functions of Several Variables. Functions and Surfaces. Parametric Surfaces. Vector Fields. 


Tue, Jul 26 
Vector Functions and Space Curves. Derivatives and Integrals of Vector Functions. 


Wed, Jul 27 
Arc Length and Curvature. Motion in Space: Velocity and Acceleration. 


Thu, Jul 28 
Limits and Continuity. Partial Derivatives. 


Mon, Aug 1 
Quiz #2. Tangent Planes and Linear Approximations. 


Tue, Aug 2 
The Chain Rule. Directional Derivatives and the Gradient Vector. 


Wed, Aug 3 
Maximum and Minimum Values. 


Thu, Aug 4 
Lagrange Multipliers. 


Mon, Aug 8 
Exam #1. 


Tue, Aug 9 
Double Integrals over Rectangles. Iterated Integrals. 


Wed, Aug 10 
Double Integrals over General Regions. Triple Integrals. 


Thu, Aug 11 
Double Integrals in Polar Coordinates. Applications of Double Integrals. 


Mon, Aug 15 
Quiz #3. Triple Integrals in Cylindrical and Spherical Coordinates. Change of Variables in Multiple Integrals. 


Tue, Aug 16 
Line Integrals. 


Wed, Aug 17 
The Fundamental Theorem for Line Integrals. Green's Theorem. Curl and Divergence. 


Thu, Aug 18 
Surface Area. Surface Integrals. 


Mon, Aug 22 
Quiz #4. The Divergence Theorem. 


Tue, Aug 23 
Stokes' Theorem. 


Wed, Aug 24 
Review. 


Thu, Aug 25 
Exam #2. 


