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Simon Fraser University · Burnaby · science and engineering
Simon Fraser University MATH151 — Calculus I
Practise the differential foundations for SFU’s science/engineering route, including numerical log, exponential, trigonometric and quotient-rule derivatives.
60 original question families · 180 parameter instances
Practise this course →Course alignment and coverage
SFU Fall 2026 calendar and the public D100 section outline checked on 25 October 2026. The shared practice does not reproduce that section’s assignments or weekly order.
Across this collection: 140 distinct original families and 420 parameter instances. Courses share topic banks; translations and shared mappings are not extra questions.
Supported learning objectives
Limits
Evaluate a limit using substitution, factoring or rationalization.
Continuity
Find missing values and compare one-sided limits.
Polynomial derivatives
Apply the power rule and interpret a derivative.
Product rule
Differentiate polynomial products and identify missing terms.
Chain rule
Differentiate composite polynomial functions.
Tangent lines
Connect slope, point and tangent-line equation.
Implicit differentiation
Differentiate a curve and evaluate a local slope.
Related rates
Relate changing lengths, areas, volumes and distances.
Linear approximation
Use a tangent model and estimate a differential.
Optimization
Locate and check a maximum or minimum in a stated domain.
Algebra essentials
Solve linear equations, expand products, factor a quadratic and identify an inequality boundary.
Functions and domains
Evaluate and compose functions, invert a linear function and find a square-root domain endpoint.
Powers and logarithms
Evaluate integer powers and logarithms, apply a doubling model and solve an equal-base equation.
Trigonometry foundations
Convert degrees to radians, use a right-triangle ratio and find a sine period. Numeric answers only.
Elementary-function derivatives at a point
Evaluate log, exponential, sine and quotient derivatives at specified points; numerical answers only.
What is not covered
Selected calculations only. Full function graphing, formal theorem proofs, inverse-trigonometric/hyperbolic derivatives, Newton’s method, L’Hôpital problems, differential-equation modelling and complete course assessments are not covered. The elementary-function bank checks numerical derivative values, not general symbolic expressions. Polar coordinates and parametric curves from the official outline remain outside this bank.
An original worked example
Solve 2x+3=9. Enter x.
Worked solution
Answer: 3
- 2x=6.
- Divide by 2: x=3.
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.