The learning objectives of this course are:

• to provide familiarity and facility with various operations on vectors (addition, dot product, cross product, scalar multiplication) and understanding their geometric implications (i.e. visualization and interpretation)
  
• to develop an understanding of the representation of functions of several variables
  
• to extend certain concepts from single-variable calculus (such as limit, continuity, differentiation and integration) to functions of several variables
• to introduce concepts and important results from vector field theory (gradient, divergence, curl, path independence, line integrals, Green's Theorem)
• to appreciate applications of all of the above to real-world situations
  
• and (hopefully) much more!
  
  

See the full syllabus for more precise details.

Last Updated August 19, 2014