Rutgers positions Math 300 as the gateway to later proof-oriented math, and student discussion consistently describes the proof transition as a hard adjustment.

Students repeatedly say proof fluency comes from steady practice and revision, so the outside work is usually regular rather than light.

The course moves through several proof methods and abstract structures quickly enough that students warn against falling behind between practice sessions.

The official materials and current wiki content emphasize proofs, problem sets, and exams rather than labs or build-style projects.

Assessment appears to center on standard math-course exams, but the stronger recurring signal is proof homework and practice rather than unusually exam-heavy grading.

Even though it is less computational than calculus, the class is fully mathematical and demands rigorous quantitative reasoning in every unit.

Both the official description and student advice stress constructing arguments from definitions, not recalling large banks of formulas.

Rutgers explicitly describes the course as abstract and proof-focused, and the chapters center on logic, sets, induction, and cardinality rather than concrete computation.

The department requires prior calculus-level preparation, and student threads say weak proof readiness or shaky mathematical maturity makes the transition much harder.

Students do need to read definitions carefully, but the course signal points more to active proof writing than to a heavy volume of assigned text.