Free · No account · Step-by-step learning
Concordia University · Montréal · selected course foundations
Concordia University MATH203 — Differential and Integral Calculus I
Start Concordia’s calculus sequence with limits, derivative rules, rates, approximation and local extrema/inflections. This MATH203 is calculus; McGill MATH203 is statistics. Check concentration-credit and prior-course restrictions.
48 original question families · 144 parameter instances
Practise this course →Course alignment and coverage
Current catalogue and public Fall 2026 outline checked 25 October 2026. These original exercises cover selected stated topics, not the section’s assignments, examination or weekly order.
Across this collection: 156 distinct original families and 468 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.
Elementary-function derivatives at a point
Evaluate log, exponential, sine and quotient derivatives at specified points; numerical answers only.
Local extrema and inflections
Locate selected polynomial extrema, inflections and concavity boundaries; distinguish x-coordinates from function values.
What is not covered
Selected numerical and polynomial calculations only. No complete graph sketches, theorem proofs, inverse-trigonometric/hyperbolic differentiation, L’Hôpital exercises or full modelling/assessment tasks. Elementary-function derivatives are checked at specified points, not as general symbolic formulas. Despite the title, this mapped Fall 2026 route is differential calculus; integral techniques are assigned to MATH205.
An original worked example
Find lim as x→2 of (x² + 3x - 1).
Worked solution
Answer: 9
- Polynomials are continuous everywhere.
- 2² + 3(2) - 1 = 9.
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.