Calculus III

Title:

Calculus III


Objective:

To learn 2- and 3- dimensional vector algebra and analytic geometry. To understand and apply the basic ideas of multivariable calculus: functions, limits, continuity, differentiation, and integration. To master the concepts and techniques of multivariable calculus and to use these methods in solving applied problems.

Textbook:


Multivariable Calculus, 8th Ed by James Stewart


Topics:


3D coordinate system: sphere, quadric surface
Vector algebra: dot product, cross product
Vector functions: arc length, curvature, velocity, acceleration
Partial derivatives: gradient, extreme values, second derivative test
Multiple integrals: iterated integral, Fubini's Theorem


Semester Taught and Grade Distribution


Spring 2017: A -- 16.67%, B -- 25.00%, C -- 30.56%, D -- 2.78%, F -- 27.78%


Spring 2016: A -- 15.94%, B -- 26.08%, C -- 28.98%, D -- 10.14%, F -- 18.84%


Fall 2015: A -- 26.25%, B -- 26.25%, C -- 32.50%, D -- 7.50%, F -- 7.50%


Fall 2014: A -- 8.00%, B -- 21.33%, C -- 37.33%, D -- 9.33%, F -- 24.00%


Spring 2014: A -- 9.72%, B -- 18.05%, C -- 40.27%, D -- 8.33%, F -- 23.61%


Fall 2013: A -- 12.50%, B -- 21.88%, C -- 43.75%, D -- 6.25%, F -- 15.63%


Spring 2013: A -- 14.47%, B -- 28.94%, C -- 25.00%, D -- 11.84%, F -- 19.73%


Spring 2012: A -- 12.16%, B -- 17.57%, C -- 20.57%, D -- 17.57%, F -- 32.43%


Summer 2008: A -- 19.05%, B -- 4.76%, C -- 42.86%, D -- 4.76%, F -- 28.57%


Fall 2007: A -- 10.00%, B -- 20.00%, C -- 25.00%, D -- 10.00%, F -- 35.00%


Fall 2005: A -- 8.33%, B -- 12.5%, C -- 33.33%, D -- 16.67%, F -- 29.17%