2WBB0 · assessment
Exam question map
See the recurring 40-point exam structure, the topics behind every question, and the mistakes that cost marks.
The recurring Calculus final
Recent papers use roughly eight short multiple-choice decisions followed by six open method questions. Your programme chooses either the vector or complex variant.
- QMC1
Domains, compositions, and inverse functions
2 pts0/1 topics touched
Common pitfalls
- Forgetting the outer-function restriction in a composition.
- Substituting the output value directly into f′ for an inverse derivative.
- QMC2
Derivative rules and implicit curves
2 pts0/1 topics touched
Common pitfalls
- Dropping a chain factor.
- Using the tangent slope when the normal is requested.
- QMC3
Limits and continuity
2 pts0/1 topics touched
Common pitfalls
- Applying l'Hôpital before checking the form.
- Treating bounded oscillation as convergent by itself.
- QMC4
Integration and the Fundamental Theorem
2 pts0/1 topics touched
Common pitfalls
- Missing the moving-bound chain factor.
- Skipping the limit in an improper integral.
- QMC5
Algebra and conic recognition
2 pts0/1 topics touched
Common pitfalls
- Reading a centre before completing the square.
- Calling opposite squared signs an ellipse.
- QMC6
Taylor leading order
2 pts0/1 topics touched
Common pitfalls
- Stopping the expansion before the first surviving term.
- Dividing O-terms incorrectly.
- QMC7
Vector or complex branch
2 pts0/2 topics touched
Common pitfalls
- Answering the branch not assigned to your programme.
- Listing only one complex root.
- QMC8
Mixed procedural check
2 pts0/3 topics touched
Common pitfalls
- Doing heavy algebra before identifying the one rule being tested.
- QO1
Vector distance or complex locus
4 pts0/2 topics touched
Common pitfalls
- Using the wrong line direction.
- Failing to describe or sketch the locus.
- QO2
Derivative of an integral or implicit tangent
3 pts0/2 topics touched
Common pitfalls
- Forgetting an endpoint derivative.
- Forgetting y′ on y-terms.
- QO3
Taylor expansion or limit
4 pts0/1 topics touched
Common pitfalls
- Not showing the substituted standard series.
- Ignoring cancellation order.
- QO4
Rational integration
5 pts0/2 topics touched
Common pitfalls
- Skipping long division.
- Using an incomplete partial-fraction form.
- QO5
First-order differential equation
4 pts0/1 topics touched
Common pitfalls
- Reading p(x) before normalizing y′.
- Losing the integration constant before the initial condition.
- QO6
Mean Value Theorem proof
5 pts0/1 topics touched
Common pitfalls
- Omitting theorem conditions.
- Stating the derivative bound without connecting it through MVT.