Meets the following requirements: QR   

This course begins with a thorough treatment of infinite series, including geometric series, power series, Taylor series, and tests for convergence.  After a review of vectors and three-dimensional geometry, we study the differential calculus of vector functions: tangent vectors, arc length, and curvature.  We conclude the course with a thorough treatment of partial derivatives, including the tangent plane approximation, the multidimensional chain rule, directional derivatives, the gradient operator, and multivariable optimization.  Evaluation will be based on challenging weekly problem sets.  Some computer work will be required, but no computer experience is necessary. 
 
Level: Intermediate/Advancecd.  Prerequisites:  Calculus II or the equivalent or permission of
instructor.  Lab fee: $10.  *QR*.