Analysis of a criterial examination of integral calculus: the case of a public university of Mexico

Abstract

This research analyzes the quality and results of a criterial and large-scale comprehensive calculus test in the school cycles between 2014 and 2019 to a total of 5367 second-semester students of the engineering careers of a mexican public university. With the results obtained it is observed that the criterial examination of integral calculus is a valid, reliable test with satisfactory power of discrimination and with a majority load of procedural reagents. The results of the research show that the greatest difficulty for students is focused on integration techniques, especially when trigonometric functions are involved. It was also found that the success of students in the ECCI is due to the ability to resolve integrals with hyperbolic, exponential and logarithmic functions, as well as the proper application of the fundamental theorem of calculus and the technique of variable change.