ACS 201 — Differential Calculus for Actuarial Science
ACS department course · Nigerian universities
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What you'll be able to do (official learning outcomes)
define relations in calculus
compare and contrast the ideas of continuity and differentiability
evaluate limits in determinants forms by a repeated use of L’ Hospital rule
perform differentiation by first principle
perform the application of maxima and minima, critical points and inflection points of functions and the concavity of curves; and
demonstrate good knowledge of Taylor and Maclaurin series of a function. 62
Course contents
Relation: Definition, domain, range (co-domain), functions, inverse relation. Functions and their limits: Evaluation of function limits using expansion method. Derivatives: Differentiation theorem (differentiation formulae). Composite functions, chain rule and higher derivatives. Implicit differentiation law of mean.
Source: the Nigerian Universities Commission (NUC) Core Curriculum and Minimum Academic Standards (CCMAS). StudyOps loads this syllabus automatically when you study ACS 201.