Description

The course covers the following topics:

·        Limits, continuity, limits involving infinity

·        Asymptotes of graphs, tangents to curves

·        Linearization

·        Derivative at a point, the derivative as a function, differentiation rules, derivatives of trigonometric functions, the chain rule

·        Implicit differentiation with examples on partial derivatives

·        Derivatives of inverse functions and logarithms

·        Extreme value of functions

·        Critical points, local and global extreme values

·        Fermat’s theorem

·        Intermediate value theorem

·        Rolle’s theorem and its applications

·        The mean value theorem and its applications

·        Monotonic functions

·        The first derivative test for local extreme values

·        Concavity, points of inflection and curve sketching

·        Indefinite integrals with examples of double and triple integrals

Compétences visées

By the end of this class, students should be able to :

·         Evaluate limits associated with a range of rational and transcendental functions, calculate limits and recognize common exceptions where limits do not exist

·         Use working knowledge of limits to evaluate basic derivatives

·         Calculate the derivatives of elementary functions using a variety of tools including the product rule, quotient rule, chain rule

·         Apply implicit and logarithmic differentiation

·         Characterize the graph of a function and its local and global extrema

·         Work with the concepts of continuity and differentiability and important ideas associated with fundamental theorems

Apply the basic concepts of integration to solving double and triple integrals.

MCC

Les épreuves indiquées respectent et appliquent le règlement de votre formation, disponible dans l'onglet Documents de la description de la formation.

Régime d'évaluation

ECI (Évaluation continue intégrale)

Coefficient

1.0

Évaluation initiale / Session principale - Épreuves