Description: Intuitive definition of limits; continuity, statement of intermediate value theorem.

Quick review of basic derivative formulas: products, chain rule, exponentials, and trigonometric functions.

Derivatives of quotients, logarithms, inverse trigonometric functions.

Finite difference approximations of derivatives.

Analysis of functions via the first and the second derivatives; statements of extreme and mean value theorems.

L''Hospital''s rule.

Implicit differentiation, related rates, optimization, linear approximation, Newton s method.

The definite integral and the fundamental theorem of calculus.

Antiderivatives of elementary functions, techniques of integration (integration by parts, substitutions, partial fractions).

Numerical integration: mid-point, trapezoidal rule and Simpson''s rule; error analysis.

Posting limited to: Professeur temps-partiel tudiant/ Student Part time Professor Date Posted (YYYY/MM/DD): 2026/07/10 Applications must be received BEFORE (YYYY/MM/DD): 2026/08/10 Expected Enrolment: 215 Approval date: 2026/07/10 Number of credits:



3 Work Hours: 39 Hourly Rate: Enseignement / Teaching: $239.47 (2024-2025) The academic year starts on September 1 and ends on August 31.

These rates do not included vacation pay nor statutory pay.

These rates will be applied until a new collective agreement is ratified.

Retro will be paid after the ratification.

Course type: B Posting type: Rgulier / Regular Language of instruction: Anglais | English Competence in second language: N/A Course Schedule: Lundi | Monday 13:00-14:30 Mercredi | Wednesday 11:30-13:00 - Requirements: PhD in mathematics.

Expert level knowledge of LaTeX.

Must coordinate (across all sections).

The provisions of Article 5.1.2 will apply.

Mobius will be used for this course.

Additional Information and/or Comments: An acceptable level of education and/or experience could be viewed as being equivalent to the educational required and/or demonstrated experience.

📌 APTPUO_Fall-2026_ (Ottawa)
🏢 University of Ottawa
📍 Ottawa