Rutgers marks Math 251 as a full multivariable-and-vector-calculus course, and public student discussion usually treats it as demanding even when it feels more intuitive than Calc II.

The official course page calls the plan of study very rapid and notes homework plus possible matlab labs, workshops, and other periodic assignments.

Rutgers explicitly says the lecture plan is very rapid and will require a great deal of energy and determination to keep up with it.

This is still mainly a calculus course, but Rutgers does mention periodic matlab labs or workshops in addition to standard homework.

The official page highlights exam protocols, grading weights, homework, and practice exams, though the assigned sources do not show an unusually exam-heavy split.

The official description stays entirely within advanced calculus territory, from partial derivatives and multiple integrals to vector analysis.

Student advice emphasizes understanding geometric setup and practicing problem types rather than memorizing large amounts of disconnected material.

The course extends calculus into higher-dimensional geometry, coordinate changes, and theorem-heavy vector analysis, which makes the reasoning more conceptual than earlier single-variable work.

Rutgers requires Calc II, and student discussion also suggests that weak prior comfort with vectors or earlier calculus makes the opening units much rougher.

The course uses a standard textbook and homework flow, but the evidence points more toward computation and setup practice than heavy text-based reading.