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University of Waterloo · Waterloo · honours mathematics

University of Waterloo MATH137 — free practice

Practise limits, continuity, polynomial derivatives and linear approximation. MATH137’s honours-level reasoning and theorem proofs remain outside this practice bank.

Untimed self-study · calculators allowed for these original exercises

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Official course sources

Independent, original, free self-study practice. Not affiliated with or endorsed by this university; these are not official exam questions. Topic alignment does not establish transfer credit, a current section’s weekly syllabus, full course coverage or a grade prediction. Follow your instructor’s rules and use official course materials for assessed work. No live AI chat or paid access is required.

What is not covered

Not a replacement for the honours course. Sequence limits, absolute-value case analysis, IVT/MVT proofs, Newton’s method, error bounds and software work are missing. No claim of preparation for proof-based assessments. Selected single-variable and polynomial foundations only. Trigonometric/logarithmic derivatives, quotient-rule exercises, formal proofs, complete curve sketching and long modelling tasks are not covered. Elementary function evaluation is not equivalent to differentiating those functions.