Generally speaking, academic standards associated with the teaching of advanced calculus at the community college level in America are extremely low. And the administration of standards by academia is intellectually myopic!
When the course multivariable calculus III is taught, many community colleges in America fail to teach the fundamental theorems: Gradient, Greens, Stokes and Divergence. Yet this course often transfers to the university level setting our precious math & engineering students up for inevitable failure.
Do you see the Fundamental theorems of anything on this final exam? And I swear, my 8 year old grandson can answer question 12. Does he get the 5 bonus points and a University of Connecticut engineering scholarship!
Course Description: 2 and 3 dimensional vector algebra, calculus of functions of several variables, vector differential calculus, line integrals, surface integrals. (4 credits)
Beginning December 2014, academic executives in Connecticut at Manchester community college, Middlesex community college, Board of Regents, Office of Higher Education, University of Connecticut and the Office of the Provost have been apprised in extensive details (dozens of times) and nothing is done.
The president of one community college reviewed a formal written complaint by a student stating that line and surface integrals were not taught as promised in the course outline. The president judged that complaint as "without merit".
The president of Connecticut State Colleges & Universities was asked by student written certified letter for an explanation of the "without merit" judgement above ... there is no response.
When the University of Connecticut is asked in writing "how do you justify the transfer of this course from community colleges to UCONN as valid?" ... there is no response.