The free calculus problem set.

Where should we send it?

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Five topics, worked all the way through.

• Limits. Evaluating limits, standard trigonometric limits, and limits at infinity.
• Derivatives. Power, product, quotient and chain rules, and logarithmic differentiation.
• Applications of derivatives. Tangent lines, optimisation, and Newton's Method.
• Integrals. The power rule, substitution, and integration by parts.
• Applications of integrals. Area under a curve and area between curves.

These are problems our tutors use in sessions, built up over years of teaching Calculus 12, MATH 100 and 101 at UVic, and the Camosun calculus sequence.

An answer key tells you that you were wrong. It does not tell you where.

Most students do not run out of problems to attempt. Textbooks and course sites are full of them. The trouble comes when an attempt goes wrong and there is nothing to compare it against. The back of the book says 14.7. Yours says 12. Now what?

Every question here comes with the working written out step by step, the same way a tutor would put it on paper beside you, so you can find the line where your reasoning broke instead of starting over or giving up on the question.

Where to go next.

If you are stuck on something the solutions do not clear up, that is exactly what a session is for. We tutor calculus at high school and university level, in person across Greater Victoria or online anywhere in BC.