This is the 10079th most frequent Russian word.
базовом
"Базовом" means "basic" or "fundamental" in English.
The word 'базовом' is an adjective in its prepositional case form modifying 'курсе', indicating the foundational level of the course.
В базовом курсе обучения изучаются основы предмета.
In the basic training course, the fundamentals of the subject are studied.
Here, 'базовом' describes the minimalist level of mutual comprehension and modifies 'понимании', also in the prepositional case.
В базовом понимании они были согласны друг с другом.
In basic understanding, they agreed with each other.
'Базовом' refers to the basic conceptual knowledge in the context of programming, modifying 'знании' in its prepositional case.