Mock exams
Timed or untimed papers for the midterm, Quiz 2 and the final, marked by topic at the end. Their questions are kept out of the practice library. Signed in, each one downloads as a PDF to sit on paper.
Midterm
Everything up to the midterm, set out like a written test: five short answers, then three longer problems in parts, on limits and continuity, on differentiation, and on related rates. 10 papers, each 14 questions, 28 marks and 60 minutes, timed or untimed.
Midterm skills check
Twenty short answers across everything up to the midterm, from functions and limits to inverse trigonometric functions and related rates: a quick check of every skill. 10 papers, each 20 questions, 40 marks and 70 minutes, timed or untimed.
Quiz 2
L’Hôpital’s rule and curve sketching: five short answers, then a sketching problem in three parts. 8 papers, each 8 questions, 16 marks and 30 minutes, timed or untimed.
Final, flavour A
For sections lettered A, with applications to the physical sciences and engineering. The whole course, ending with Newton’s method, Taylor polynomials and their error, and a first look at differential equations: slope fields and Euler’s method. Twenty short answers, then five longer problems in parts. 4 papers, each 35 questions, 70 marks and 150 minutes, timed or untimed.
Final, flavour B
For sections lettered B, with applications to biology and the life sciences. The whole course, ending with Newton’s method and differential equations: solving them, slope fields, Euler’s method, logistic growth and phase lines. Twenty short answers, then five longer problems in parts. 4 papers, each 35 questions, 70 marks and 150 minutes, timed or untimed.
Final, flavour C
For sections lettered C, with applications to commerce and the social sciences. The whole course, ending with functions of two variables: partial derivatives, critical points and Lagrange multipliers. Twenty short answers, then five longer problems in parts. 4 papers, each 35 questions, 70 marks and 150 minutes, timed or untimed.
Precalculus check
The algebra, logarithms, exponentials and trigonometry the course builds on, without a calculator: ten short answers. 4 papers, each 10 questions, 20 marks and 25 minutes, timed or untimed.