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McGill University · Montréal · standard foundation route
McGill University MATH140 — Calculus 1
Review functions, limits, differentiation and polynomial antiderivatives for McGill’s standard first calculus course. This is separate from the accelerated MATH150 route.
60 original question families · 180 parameter instances
Practise this course →Course alignment and coverage
Department course listing includes Summer/Fall 2026 and Winter 2027; description checked on 25 October 2026. Section-specific schedules and assessments remain unverified.
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.
Polynomial antiderivatives
Reverse the power rule and use a stated constant or initial value. Exact fractional coefficients are supported.
What is not covered
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.
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.